{"text_format":"3","workbook":"xlsb","n_sheets":7,"sheets":["Beispiele","Beulnachweis","Hilfe","WMFzerleger","Werbung","Schalung","Ankerstange"],"not_rendered":{"images":60,"macros":1,"external_links":1,"defined_names":68,"comments":1},"read":"bin_skipped_in_rows","date_system":"1900","formulas":"cached_only","passed_over":{"ids":[37,38,1024],"n":0}}

{"sheet":"Beispiele","index":0,"n_rows":373,"n_cols":254,"rows_kept":373,"read":"bin_skipped_in_rows","flags":["formulas_cached_only","records_skipped"],"rows_in_doubt":{"n":0,"rows":[]},"rows_in_doubt_other":5}
["Übersicht der Objekte"]
["Datei","Dateiname","Einstellungen",""]
["Last","Name","Lastgröße [kN]",null,"Lastort [m]",null,"Pfeilhöhe [Twip]","Lastfall"]
["Moment","Name","Momentgröße [kNm]","Startwinkel [°]","Momentort","Endwinkel [°]","Drehpfeilhöhe [Twip]","Lastfall"]
["Streckenlast","Name","q links [kN/m]","q rechts [kN/m]","von [m]","bis [m]","Höhe des Pfeilrechteckes [Twip]","Lastfall"]
["Balken","Querschnitt","Materialgüte","Iy [cm4]","von [m]","bis [m]","E [kN/cm²]","MRd [kNm];VRD [kN]"]
["Lager","Name","Feder [kN/m]","Drehfeder [kNm/m]","Lagerort [m]","Lagersenkung [m]","Lagerdrehung [m/m]","Lastfall"]
["Gelenk","Name","Feder [kN/m]","Drehfeder [kNm/m]","Gelenkort [m]","Sprung [m]","Knick [m/m]","Lastfall"]
["Maßkette","kurzer Name","Objekte","relativ","Array",null,"Yhöhe [Twip]","Lastfall"]
["Ausgabe",null,"gewünschte Werte",null,"Anzahl der Teilungen",null,"gewünschte Zeile","Lastfall"]
[]
[]
[]
[]
[]
[]
["Datei","Einfeldträger"]
["der stinknormale ql²/8 Einfeldträger"]
["Balken","HEB600","S456"]
["Streckenlast",null,"q_1==150","q_2==200",0,8]
[]
[]
[]
["Datei","Beulträger",{"$nulls":3},"0000002"]
["Schreibe die Beule hinter die Profilbezeichnung. _ba1;0;1 für Feldmoment und _b-1;0;-1 für Stützmoment."]
[{"$nulls":6},"E=19000kN/cm² für Edelstahl statt 21000"]
["Balken","S60;0,5;0;1;1;0;2;40;30","S355",null,0,20,19000]
["Balken","S60;0,5;0;1;1;0;2;40;30_Stütz_ba-1;0;-1,5","S355",null,0,2.4,19000]
["Balken","S60;0,5;0;1;1;0;2;40;30_Stütz_ba-1;0;-2","S355",null,8.6,11.4,19000]
["Balken","S60;0,5;0;1;1;0;2;40;30_Stütz_ba-1;0;-1,5","S355",null,17.6,20,19000]
["Balken","S60;0,5;0;1;1;0;2;40;30_Feld_ba1;0;1,5","S355",null,4,7,19000]
["Balken","S60;0,5;0;1;1;0;2;40;30_Feld_ba1;0;1,5","S355",null,13,16,19000,null,"F Eigengewicht","M Eigengewicht"]
["Lager",{"$nulls":3},2,{"$nulls":3},275.09817650254445,0]
["Lager",{"$nulls":3},10,{"$nulls":3},465.88572680854236,0]
["Lager",{"$nulls":3},18,{"$nulls":3},275.09817650249784,0]
["Streckenlast",null,50,50,0,20]
["Maßkette",null,"Lager"]
["Maßkette",null,"Elemente"]
["EoF"]
[]
[]
[]
[]
[]
["Datei","Zweifeldträger","001"]
["ein ungleichmäßiger Zweifeldträger mit mehreren Lastfällen"]
["Neben die Lager werden die Lagerkräfte geschrieben.",{"$nulls":7},"F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","F Schnee","M Schnee","min F","min M","max F","max M"]
["Lager",{"$nulls":3},0.5,{"$nulls":3},8.22964047289544,0,13.895387700531968,0,2.36221590909085,0,11.110014638408845,0,35.14208766647944,0]
["Lager",{"$nulls":3},6,{"$nulls":3},16.1664845569503,0,27.29640151515155,0,4.640388257575772,0,21.82475415188291,0,69.03388057233752,0]
["Lager",{"$nulls":3},9,{"$nulls":3},5.2167243927712335,0,8.8082107843139,0,1.4973958333332948,0,7.0425779302411655,0,22.276378481711962,0]
["Balken","U300","S355",null,null,10]
["Streckenlast","Ausbaulast",2.5,{"$nulls":4},"Eigengewicht"]
["Streckenlast","Nutzlast",5,{"$nulls":4},"Nutzlast"]
["Streckenlast","Schnee",0.85,{"$nulls":4},"Schnee","maximale Größen der Lastfallkombination","V","M","u'","u","Auslastung M","Auslastung Q"]
["Maßkette",null,"Lager",{"$nulls":5},"maximale Größen der Lastfallkombination","V","M","u'","u","Auslastung M","Auslastung Q"]
["Ausgabe",{"$nulls":6},"Lastfallkombination","Min",-40.72932036583548,-34.33274193129247,-0.0379854024596397,-0.025630549926288396,0.9541776601946699,0.09314954079847296]
[{"$nulls":8},"Max",28.81947033045862,31.25420376258108,0.05145410246249053,0.08079899289615022]
[]
[]
["Datei","Kragarm",null,1,null,"0000001"]
["ein Kragarm unter Einzellast mit vorgegebener Belastbarkeit"]
["Balken","50x20","C30/37",{"$nulls":4},"500;150"]
["Last",null,50,null,5,null,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager",null,null,-1,0,{"$nulls":3},12.499999999999993,-31.250000000000373,50.00000000000023,-250.0000000000039,16.874999999999993,-417.18750000000637,91.87500000000034,-42.187500000000504]
[]
[]
[]
["Datei","Einzellasten",null,"","01"]
["Balken","HEB220","S355",null,0,9.6,null,null,"F Eigengewicht","M Eigengewicht","F sdf","M sdf","min F","min M","max F","max M"]
["Feder",null,80000,null,0.45,{"$nulls":3},247.4065375381847,0,-5.387037216018037,0,333.8019065011159,0,341.88246232514297,0]
["Feder",null,80000,null,2.1,{"$nulls":3},251.64656625254435,0,7.580738841450405,0,330.0961042027651,0,341.4672124649407,0]
["Feder",null,80000,null,3.55,{"$nulls":3},252.0320381639318,0,80.05499649255238,0,232.10713144762516,0,352.1896261864537,0]
["Feder",null,80000,null,4.8,{"$nulls":3},238.75801450911132,0,93.63130238540657,0,197.64586209025308,0,338.09281566836296,0]
["Feder",null,80000,null,6.05,{"$nulls":3},252.31565800086446,0,19.05292151422941,0,314.855583862974,0,343.43496613431813,0]
["Feder",null,80000,null,7.5,{"$nulls":3},252.34502409399897,0,-5.724356041040792,0,340.3876429825228,0,348.97417704408394,0]
["Feder",null,80000,null,9.15,{"$nulls":3},247.45702927072307,0,-1.208565973532913,0,334.50975998789585,0,336.32260894819524,0]
["Last","HEB600",134,null,0]
["Last","Stoß",171,null,1.2]
["Last",null,185,null,2.3]
["Last",null,189,null,3.3]
["Last",null,188,null,4.3]
["Last",null,188,null,5.3]
["Last",null,189,null,6.3]
["Last",null,186,null,7.3]
["Last",null,171,null,8.4]
["Last",null,134,null,9.6]
["Last",null,0.1,null,4.4,null,1500]
["Geometrie","Rkreuz",0.25,null,2,3]
["Maßkette",null,"Last"]
["Maßkette",null,"Lager"]
[]
[]
["Datei","beidseitig",null,1,"001100"]
["beidseitig eingespannter Balken mit halbbreiten Grafiken"]
["Halbbreite Grafiken senken den Seitenverbrauch von 9,5 Seiten auf 4,5 Seiten."]
["Balken","HEB500","S235",{"$nulls":5},"F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Einspannung",{"$nulls":3},0,{"$nulls":3},33.733066480093406,-112.44355493364492,35.00000000000004,-112.50000000000021,45.5396397481261,-320.54879916042097,98.03963974812616,-151.79879916042066]
["Einspannung",{"$nulls":3},20,{"$nulls":3},33.73306648009344,112.44355493364492,35.00000000000006,112.50000000000023,45.53963974812615,151.79879916042066,98.03963974812623,320.548799160421]
["Streckenlast",null,1.5,1.5,0,20,null,"Eigengewicht"]
["Streckenlast",null,4,3,0,10,null,"Nutzlast"]
["Streckenlast",null,3,4,10,20,null,"Nutzlast"]
[]
[]
[]
["Datei","LastenSchieben",null,""]
["Dieses Beispiel zeigt, dass man Lasten mühevoll woanders hin schieben kann. 100Twip = 1mm"]
["Balken","R30;20;0;3;2;4,5;4,5","S355"]
["Streckenlast",null,3,3,0,8,2500]
["Streckenlast",null,4,4,4,12]
["Last",null,10,null,0]
["Last",null,10,null,12]
["Maßkette",null,"Lager"]
[]
[]
[]
[]
["Datei","Jochquerträger",null,1]
["Ein Balken wirf auf vielen Federn gelagert"]
["Balken","HEB220","S355"]
["Streckenlast",null,25,45,0,2]
["Streckenlast",null,125,125,2,8]
["Streckenlast",null,45,25,8,10]
["Streckenlast",null,25,45,10,12]
["Streckenlast",null,125,125,12,18]
["Streckenlast",null,45,25,18,20,null,null,"F Eigengewicht","M Eigengewicht"]
["Feder",null,60000,null,2.35,{"$nulls":3},296.2448345051091,0]
["Feder",null,60000,null,5,{"$nulls":3},301.8147453366095,0]
["Feder",null,60000,null,7.5,{"$nulls":3},299.08715748254224,0]
["Feder",null,60000,null,12.5,{"$nulls":3},299.0871574825526,0]
["Feder",null,60000,null,15,{"$nulls":3},301.81474533660617,0]
["Feder",null,60000,null,17.65,{"$nulls":3},296.2448345055424,0]
[]
[]
[]
["Datei","Jochquerträger2",null,1]
["Kommentar","Anfang","Das gleiche Beispiel wie vorher, nur mit Schminke"]
["Balken","HEB220","S355"]
["Streckenlast",null,25,45,0,2]
["Streckenlast",null,125,125,2,8]
["Streckenlast",null,45,25,8,10]
["Streckenlast",null,25,45,10,12]
["Streckenlast",null,125,125,12,18]
["Streckenlast",null,45,25,18,20,null,null,"F Eigengewicht","M Eigengewicht",null,"Nachweis Stütze"]
["Feder","P40",60000,null,2.35,{"$nulls":3},296.2448345051091,0,null,0.925765107828466]
["Feder","P40",60000,null,5,{"$nulls":3},301.8147453366095,0,null,0.9431710791769048]
["Feder","P40",60000,null,7.5,{"$nulls":3},299.08715748254224,0,null,0.9346473671329445]
["Feder","P40",60000,null,12.5,{"$nulls":3},299.0871574825526,0,null,0.9346473671329768]
["Feder","P40",60000,null,15,{"$nulls":3},301.81474533660617,0,null,0.9431710791768942]
["Feder","P40",60000,null,17.65,{"$nulls":3},296.2448345055424,0,null,0.9257651078298201]
["Maßkette",null,"Lager"]
["Maßkette",null,"Streckenlast"]
[]
[]
[]
["Datei","Mehrfeldträger",null,""]
["ein Balken mit unterschiedlichen Querschnitten",{"$nulls":7},"F Eigengewicht","M Eigengewicht","F Farbe","M Farbe","F Sonderlast","M Sonderlast","min F","min M","max F","max M"]
["Lager",{"$nulls":3},0.5,{"$nulls":3},2.847909388646288,0,-0.0698689956331866,0,4.751364628821076,0,3.739874181222709,0,10.259019923580942,0]
["Lager",{"$nulls":3},3,{"$nulls":3},4.592317139737984,0,0.24454148471614667,0,7.370223799126633,0,6.199628138646279,0,16.51624249454145,0]
["Lager",{"$nulls":3},5,{"$nulls":3},3.927103575327512,0,8.194323144104793,0,-0.21277974890829165,0,5.014337165665948,0,17.59307454284933,0]
["Lager",{"$nulls":3},7,{"$nulls":3},3.7053397925764227,0,7.262008733624481,0,0.18238264192137993,0,5.002208719978171,0,16.141438387008755,0]
["Lager",{"$nulls":3},9,{"$nulls":3},3.927103575327514,0,8.194323144104779,0,-0.2127797489082675,0,5.0143371656659825,0,17.593074542849312,0]
["Lager",{"$nulls":3},11,{"$nulls":3},4.592317139737961,0,0.24454148471619608,0,7.3702237991265935,0,6.199628138646248,0,16.516242494541444,0]
["Lager",{"$nulls":3},13.5,{"$nulls":3},2.8479093886465296,0,-0.06986899563318805,0,4.751364628821284,0,3.7398741812230334,0,10.259019923581548,0]
["Balken","40x20","gl24c",null,0,4]
["Balken","60x20","gl24c",null,4,10]
["Balken","40x20","gl24c",null,10,14]
["Streckenlast","Ausbau",1.5,1.5,0,14,null,"Eigengewicht"]
["Streckenlast","Nutzlast",4,4,4,10,null,"Farbe"]
["Streckenlast","Sonderlast",3,3,0,4,null,"Sonderlast"]
["Streckenlast","Sonderlast",3,3,10,14,null,"Sonderlast"]
["Gelenk",{"$nulls":3},4]
["Gelenk",{"$nulls":3},10]
[]
[]
["Datei","Mehrfeldträger2",null,"100"]
["ein Durchlaufträger, auf denen sich die Lasten türmen"]
["Balken","HEB600","S355",{"$nulls":5},"F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","F Schnee","M Schnee","F Wind","M Wind","F abhebender Wind","M abhebender Wind","min F","min M","max F","max M"]
["Lager",{"$nulls":3},0.2,{"$nulls":3},20.321412007622712,0,19.194289611183194,0,21.59357581220138,0,7.197858604134126,0,-4.7985724027957986,0,20.95583346651633,0,95.09377708911838,0]
["Lager",null,10000,null,10.2,{"$nulls":3},38.98821640378726,0,34.4114207778306,0,38.71284837503456,0,12.904282791681116,0,-8.60285519445765,0,41.020237632594984,0,173.93435038692488,0]
["Lager",{"$nulls":3},20.2,{"$nulls":3},20.321412007586332,0,19.194289610863052,0,21.59357581207587,0,7.197858604155044,0,-4.798572402715763,0,20.955833466575267,0,95.09377708844785,0]
["Streckenlast","Belag",1,1,0,20.4,null,"Eigengewicht"]
["Streckenlast","Nutzlast",2,2,0,20.4,null,"Nutzlast"]
["Streckenlast","Schnee",2.25,2.25,0,20.4,null,"Schnee"]
["Streckenlast","Wind",0.75,0.75,0,20.4,null,"Wind"]
["Streckenlast","Windsog",-0.5,-0.5,0,20.4,null,"abhebender Wind"]
["Last",null,4,null,1,null,null,"Eigengewicht"]
["Last",null,8,null,1,null,null,"Nutzlast"]
["Last",null,9,null,1,null,null,"Schnee"]
["Last",null,3,null,1,null,null,"Wind"]
["Last",null,-2,null,1,null,null,"abhebender Wind"]
["Last",null,4,null,19.4,null,null,"Eigengewicht"]
["Last",null,8,null,19.4,null,null,"Nutzlast"]
["Last",null,9,null,19.4,null,null,"Schnee"]
["Last",null,3,null,19.4,null,null,"Wind"]
["Last",null,-2,null,19.4,null,null,"abhebender Wind"]
["Last",null,4,null,8,null,null,"Eigengewicht"]
["Last",null,8,null,8,null,null,"Nutzlast"]
["Last",null,9,null,8,null,null,"Schnee"]
["Last",null,3,null,8,null,null,"Wind"]
["Last",null,-2,null,8,null,null,"abhebender Wind"]
["Last",null,4,null,12.399999999999999,null,null,"Eigengewicht"]
["Last",null,8,null,12.399999999999999,null,null,"Nutzlast"]
["Last",null,9,null,12.399999999999999,null,null,"Schnee"]
["Last",null,3,null,12.399999999999999,null,null,"Wind"]
["Last",null,-2,null,12.399999999999999,null,null,"abhebender Wind"]
["Maßkette",null,"Elemente"]
["Maßkette",null,"Last"]
[]
[]
[]
[]
["Datei","Laststellung",null,""]
["Balken","HEB300","S355",{"$nulls":5},"F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager",{"$nulls":3},1,{"$nulls":3},6.680192079733919,0,12.6428571428571,0,9.018259307640792,0,27.98254502192644,0]
["Lager",{"$nulls":3},3,{"$nulls":3},5.8876269177316525,0,11.142857142857167,0,7.948296338937731,0,24.66258205322348,0]
["Lager",{"$nulls":3},5,{"$nulls":3},6.566968485162199,0,12.428571428571406,0,8.86540745496897,0,27.50826459782608,0]
["Lager",{"$nulls":3},7,{"$nulls":3},5.887626917731662,0,11.142857142857189,0,7.948296338937745,0,24.662582053223527,0]
["Lager",{"$nulls":3},9,{"$nulls":3},6.680192079733915,0,12.642857142857043,0,9.018259307640786,0,27.982545021926352,0]
["Streckenlast",null,2,null,0,10]
["Streckenlast",null,6,null,0,10,null,"Nutzlast"]
["Kommentar","Schnittgrößen","Der Unterschied zwischen den beiden Beispielen ist, dass im zweiten Beispiel die Streckenlasten feldweise ungünstig angesetzt werden."]
[]
["Datei","Laststellung2",null,""]
["Balken","HEB300","S355",{"$nulls":5},"F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","F Nutzlast2","M Nutzlast2","min F","min M","max F","max M"]
["Lager",{"$nulls":3},1,{"$nulls":3},6.680192079733919,0,7.258928571428383,0,5.383928571428592,0,9.018259307640792,0,27.982545021926256,0]
["Lager",{"$nulls":3},3,{"$nulls":3},5.8876269177316525,0,4.446428571428624,0,6.696428571428552,0,7.948296338937731,0,24.662582053223495,0]
["Lager",{"$nulls":3},5,{"$nulls":3},6.566968485162199,0,6.21428571428571,0,6.214285714285692,0,8.86540745496897,0,27.508264597826074,0]
["Lager",{"$nulls":3},7,{"$nulls":3},5.887626917731662,0,6.69642857142852,0,4.446428571428671,0,7.948296338937745,0,24.66258205322353,0]
["Lager",{"$nulls":3},9,{"$nulls":3},6.680192079733915,0,5.383928571428612,0,7.2589285714285925,0,9.018259307640786,0,27.982545021926594,0]
["Streckenlast",null,2,null,0,10]
["Streckenlast",null,6,null,0,1,null,"Nutzlast"]
["Streckenlast",null,6,null,1,3,null,"Nutzlast2"]
["Streckenlast",null,6,null,3,5,null,"Nutzlast"]
["Streckenlast",null,6,null,5,7,null,"Nutzlast2"]
["Streckenlast",null,6,null,7,9,null,"Nutzlast"]
["Streckenlast",null,6,null,9,10,null,"Nutzlast2"]
["Teilsicherheitsbeiwerte",1,1.35,1.5,1.5,1,1,1]
{"$rows_empty":35}
["Datei","Titelblatt",null,"100"]
["Balken","I80;30;0;6;2;0;2,4_bo5_bl0;5;3","Mi235",null,0,10]
["Balken","I80;30;0;6;2;0;2,4","Mi235",null,2.5,7.5]
["Balken","I80;30;0;6;2;0;2,4_WMF-Balken_bl0;5;-3_bu5","Mi235",null,3.5,6.5,null,null,"F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","F Internet","M Internet","min F","min M","max F","max M"]
["Lager","Dokumentlizenz: cc-by-sa",null,null,1.5,{"$nulls":3},14.47319810547799,0,3.587142857545871,0,3.300000000232785,0,19.53881744239529,0,29.374531729028355,0]
["Lager","Programmlizenz: GNU GPL v3",null,null,8.5,{"$nulls":3},14.558912391775152,0,3.6128571435019694,0,3.300000000372563,0,19.65453172889646,0,29.528817444652372,0]
["Streckenlast","Verfasser: Simon Pie"," ==1",null,0,10]
["Streckenlast","Programmierer: Simon Pie"," ==1",null,1.5,8.5,null,"Nutzlast"]
["Streckenlast","Internet: www.WoT-WMF.de"," ==0,6",null,0,10,null,"Internet"]
["Last",null,"Dokumentversion:==0,1",null,4.8,null,null,"Nutzlast"]
["Last",null,"5==0,1",null,6.1,null,null,"Nutzlast"]
["Last",null,"Programmversion:==1",null,4.3]
["Last",null,"2.00==1",null,6]
["Last",null,"Betatester: Christian Götz==0,6",null,5,null,null,"Internet"]
["Maßkette",null,"Lager",null,"L_k;L;L_k"]
["Maßkette",null,"Last",null,"L_1;L_2;L_3;L_4;L_5",null,null,-1]
["Maßkette",null,"Streckenlast",null,"Datum: Juni 2023",null,null,"Internet"]
[]
[]
[]
[]
["Datei","Mehrfeldtreger",null,""]
["ein Balken mit unterschiedlichen Querschnitten",{"$nulls":7},"F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","F Sonderlast","M Sonderlast","min F","min M","max F","max M"]
["Lager",{"$nulls":3},1,{"$nulls":3},47.617580645161944,0,-3.225806451612847,0,18.82036290322586,0,59.44502419354936,0,89.69122379032355,0]
["Lager",{"$nulls":3},6,{"$nulls":3},78.45846774193538,0,11.290322580644876,0,94.12872983870946,0,105.91893145161276,0,249.92820060483785,0]
["Lager",{"$nulls":3},10,{"$nulls":3},59.63691532258038,0,198.38709677419274,0,12.339087701612659,0,80.50983568548352,0,394.7482492439497,0]
["Lager",{"$nulls":3},14,{"$nulls":3},59.454072580645146,0,187.0967741935487,0,-10.576360887096726,0,65.98491078629037,0,360.90815927419396,0]
["Lager",{"$nulls":3},18,{"$nulls":3},59.636915322580705,0,198.38709677419354,0,12.339087701613149,0,80.50983568548396,0,394.748249243952,0]
["Lager",{"$nulls":3},22,{"$nulls":3},78.45846774193518,0,11.290322580646084,0,94.12872983870946,0,105.9189314516125,0,249.9282006048394,0]
["Lager",{"$nulls":3},27,{"$nulls":3},47.61758064516337,0,-3.225806451612975,0,18.82036290322796,0,59.44502419355109,0,89.6912237903283,0]
["Balken","20x40","gl24c",null,0,8]
["Balken","20x60","gl24c",null,8,20]
["Balken","20x40","gl24c",null,20,28]
["Streckenlast","Ausbau",15,null,0,28,null,"Eigengewicht"]
["Streckenlast","Nutzlast",50,null,8,20,null,"Nutzlast"]
["Streckenlast","Sonderlast",0,30,0,8,null,"Sonderlast"]
["Streckenlast","Sonderlast",30,0,20,28,null,"Sonderlast"]
["Gelenk",{"$nulls":3},8]
["Gelenk",{"$nulls":3},20]
[]
["Datei","Ausgabe"]
["Dieses Beispiel zeigt, was man wie in Excel ausgibt"]
["Balken","HEB300","S235",null,0,10,null,null,"F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager",{"$nulls":3},0.4,{"$nulls":3},17.042389924972085,0,30.312920652023333,0,23.007226398712316,0,68.47660737674731,0]
["Lager",{"$nulls":3},3.5,{"$nulls":3},42.58954961099029,0,77.06425438661897,0,57.495891974836894,0,173.09227355476534,0]
["Lager",{"$nulls":3},7,{"$nulls":3},37.4022114890908,0,67.5496839396223,0,50.49298551027259,0,151.81751141970602,0]
["Lager",{"$nulls":3},9.6,{"$nulls":3},14.668455455037808,0,26.073141021734365,0,19.802414864301042,0,58.91212639690259,0]
["Streckenlast",null,10,null,0,10]
["Streckenlast",null,20,null,0,10,null,"Nutzlast"]
["Einzellast",null,1,null,5,null,null,"Nutzlast"]
["Gelenk",null,null,10000,5]
["Gibt den Momentenverlauf der Nutzlast in den Fünftelspunkten aus",{"$nulls":7},0,2,4,6,8,10]
["Ausgabe",null,"Moment",null,5,null,null,"Nutzlast",0,8.486923043235354,-12.344483459410364,1.4129916178724997,1.7070256347777162,0]
["Gibt den Momentenverlauf der Nutzlast an den Stellen x=2;3;4 und 5 aus",{"$nulls":7},2,3,4,5]
["Ausgabe",null,"Moment",null,"2;3;4;5",null,null,"Nutzlast",8.486923043235354,-11.20128130474223,-12.344483459410364,5.0358165792310245]
["Gibt den Momentenverlauf der Nutzlast an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,1.4849999999999999,3.5,5,5.3,7,8.69,9.6,10]
["Ausgabe",null,"Moment",null,"Elemente",null,null,"Nutzlast",0,-1.6000000000005912,10.83726890744381,-28.52994597873102,5.035816579231096,6.048969090823492,-22.209833343486082,6.565558329779728,-1.600000000000204,0]
["Gibt den Momentenverlauf der Nutzlast an jeder Elementteilung aus. Sehe was tief im WMF-Balken passiert.",{"$nulls":7},0,0.01,0.02,0.03,0.04,0.05,0.06,0.07,0.08,0.09,0.1,0.11,0.12,0.13,0.14,0.15,0.16,0.17,0.18,0.19,0.2,0.21,0.22,0.23,0.24,0.25,0.26,0.27,0.28,0.29,0.3,0.31,0.32,0.33,0.34,0.35000000000000003,0.36,0.37,0.38,0.39,0.4,0.4,0.47750000000000004,0.555,0.6325000000000001,0.71,0.7875000000000001,0.865,0.9425,1.02,1.0975000000000001,1.175,1.2525,1.33,1.4075000000000002,1.4849999999999999,1.5625,1.6400000000000001,1.7174999999999998,1.795,1.8725,1.9500000000000002,2.0275,2.105,2.1825,2.26,2.3375,2.415,2.4924999999999997,2.57,2.6475,2.725,2.8024999999999998,2.88,2.9575,3.0349999999999997,3.1125,3.19,3.2675,3.3449999999999998,3.4225,3.5,3.5,3.5375,3.575,3.6125,3.65,3.6875,3.725,3.7625,3.8,3.8375,3.875,3.9125,3.95,3.9875,4.025,4.0625,4.1,4.1375,4.175,4.2125,4.25,4.2875,4.325,4.3625,4.4,4.4375,4.475,4.5125,4.55,4.5875,4.625,4.6625,4.7,4.7375,4.775,4.8125,4.85,4.8875,4.925,4.9625,5,5,5.05,5.1,5.15,5.2,5.25,5.3,5.35,5.4,5.45,5.5,5.55,5.6,5.65,5.7,5.75,5.8,5.85,5.9,5.95,6,6.05,6.1,6.15,6.2,6.25,6.3,6.35,6.4,6.45,6.5,6.55,6.6,6.65,6.7,6.75,6.8,6.85,6.9,6.95,7,7,7.065,7.13,7.195,7.26,7.325,7.39,7.455,7.52,7.585,7.65,7.715,7.779999999999999,7.845,7.91,7.975,8.04,8.105,8.17,8.235,8.3,8.365,8.43,8.495,8.559999999999999,8.625,8.69,8.754999999999999,8.82,8.885,8.95,9.015,9.08,9.145,9.209999999999999,9.274999999999999,9.34,9.405,9.469999999999999,9.535,9.6,9.6,9.61,9.62,9.629999999999999,9.64,9.65,9.66,9.67,9.68,9.69,9.7,9.709999999999999,9.719999999999999,9.73,9.74,9.75,9.76,9.77,9.78,9.79,9.8,9.81,9.82,9.83,9.84,9.85,9.86,9.87,9.879999999999999,9.89,9.9,9.91,9.92,9.93,9.94,9.95,9.96,9.97,9.98,9.99,10]
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["Gibt den Momentenverlauf die extremalen Schnittgrößen der Nutzlast aus",{"$nulls":7},"Lastfall Nutzlast","V","M","u'","u","Auslastung M","Auslastung Q"]
["Ausgabe",null,"Moment",{"$nulls":4},"Nutzlast","Min",-39.68707934797756,-28.529945978731025,-0.00026674262351246886,-6.261004599827437e-05,0.17810545950975273,0.15265744972026155]
[{"$nulls":8},"Max",37.37717503864141,10.83726890744381,0.0003537139252486553,0.0004449170610464566]
["Gibt den Querkraftverlauf des Eigengewichtes an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,0.4,3.5,3.5,5,7,7,9.6,9.6,10]
["Ausgabe",null,"Querkraft",null,"Elemente",{"$nulls":3},0,-4.468104259202846,12.574285665769239,-22.0535223430597,20.536027267930592,3.7806362959164517,-18.55988500010188,18.84232648898892,-10.20035119583536,4.468104259202448,0]
["Gibt den Momentenverlauf des Eigengewichtes an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,1.5625,3.5,5,5.35,7,8.69,9.6,10]
["Ausgabe",null,"Moment",null,"Elemente",{"$nulls":3},0,-0.8936208518410353,6.176206207691269,-15.586437701641255,2.651059971244507,3.290104210124823,-12.128188732940501,3.7636523150610444,-0.8936208518408684,0]
["Gibt den Verdrehungsverlauf des Eigengewichtes an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,0.47750000000000004,2.57,3.5,4.5875,5,5,6.1,7,7.845,9.6,10]
["Ausgabe",null,"Verdrehung",null,"Elemente",{"$nulls":3},9.025899822441476e-05,9.251357002715563e-05,9.312589416068099e-05,-7.102800040626848e-05,5.113044936154146e-05,0.0001873919495468465,0.00017525825938784678,-8.984773773660173e-05,-0.00014142052230144614,-5.143017946688877e-05,3.645667838593145e-05,-4.0689095394116823e-05,-3.843452359137667e-05]
["Gibt die Biegelinie des Eigengewichtes an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,1.6400000000000001,3.2675,3.5,5,7,7.26,8.625,9.6,10]
["Ausgabe",null,"Durchbiegung",null,"Elemente",{"$nulls":3},-3.632905647004007e-05,0,7.292988506147835e-05,-4.764803930132489e-06,0,0.00023449663889483574,0,-6.619184184815978e-06,2.585174593577595e-05,0,-1.5599266616824725e-05]
["Gibt die Auslastung des Eigengewichtes an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,0.4,2.105,3.5,4.9625,5,5.7,7,8.3,9.6,9.6,10]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.03082442881608642,0.08623187360440601,0.04708896475874975,0.17810545950975273,0.030530705596748524,0.031060339613182563,0.028895761747915374,0.13863000127111302,0.03193284191963008,0.06988201602586908,0.030824428816078508,0]
["Gibt den Verdrehungsverlauf des Eigengewichtes an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,0.47750000000000004,2.57,3.5,4.5875,5,5,6.1,7,7.845,9.6,10]
["Ausgabe",null,"Blubber",null,"Elemente",{"$nulls":3},9.025899822441476e-05,9.251357002715563e-05,9.312589416068099e-05,-7.102800040626848e-05,5.113044936154146e-05,0.0001873919495468465,0.00017525825938784678,-8.984773773660173e-05,-0.00014142052230144614,-5.143017946688877e-05,3.645667838593145e-05,-4.0689095394116823e-05,-3.843452359137667e-05]
[]
["Gibt den Momentenverlauf des Eigengewichtes an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,1.5625,3.5,5,5.35,7,8.69,9.6,10]
["Ausgabe",null,"Moment",null,"Elemente",{"$nulls":3},0,-0.8936208518410353,6.176206207691269,-15.586437701641255,2.651059971244507,3.290104210124823,-12.128188732940501,3.7636523150610444,-0.8936208518408684,0]
["Gibt den Momentenverlauf des Eigengewichtes an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,1.5625,3.5,5,5.35,7,8.69,9.6,10]
["Ausgabe",null,"Moment",null,"Elemente",null,null,"Eigengewicht",0,-0.8936208518410353,6.176206207691269,-15.586437701641255,2.651059971244507,3.290104210124823,-12.128188732940501,3.7636523150610444,-0.8936208518408684,0]
["Gibt den Momentenverlauf der Nutzlast an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,1.4849999999999999,3.5,5,5.3,7,8.69,9.6,10]
["Ausgabe",null,"Moment",null,"Elemente",null,null,"Nutzlast",0,-1.6000000000005912,10.83726890744381,-28.52994597873102,5.035816579231096,6.048969090823492,-22.209833343486082,6.565558329779728,-1.600000000000204,0]
["Gibt den minimalen Momentenverlauf der Lastkombination an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,0.47750000000000004,3.5,5,7,7.91,9.6,10,10]
["Ausgabe",null,"Moment",null,"Elemente",null,null,"Min",0,-3.6063881499862847,0,-63.83660986531223,0,-49.6878048046988,0,-3.606388149985478,0,0]
["Gibt den maximalen Momentenverlauf der Lastkombination an den maßgebenden Stellen für jedes Element aus",{"$nulls":7},0,0.4,1.4849999999999999,3.5,5,5.35,7,8.69,9.6,10]
["Ausgabe",null,"Moment",null,"Elemente",null,null,"Max",0,0,24.591510828452673,0,11.132655830026728,13.505882447801863,0,14.929268120002003,0,0]
[]
["Gibt den Momentenverlauf die extremalen Schnittgrößen des Eigengewichtes aus",{"$nulls":7},"Lastfall Eigengewicht","V","M","u'","u","Auslastung M","Auslastung Q"]
["Ausgabe",null,"Moment",{"$nulls":5},"Min",-22.0535223430597,-15.586437701641255,-0.00014142052230144614,-3.632905647004007e-05,0.17810545950975273,0.15265744972026155]
[{"$nulls":8},"Max",20.536027267930592,6.176206207691269,0.0001873919495468465,0.00023449663889483574]
["Gibt den Momentenverlauf die extremalen Schnittgrößen des Eigengewichtes aus",{"$nulls":7},"Lastfall Eigengewicht","V","M","u'","u","Auslastung M","Auslastung Q"]
["Ausgabe",null,"Moment",{"$nulls":4},"Eigengewicht","Min",-22.0535223430597,-15.586437701641255,-0.00014142052230144614,-3.632905647004007e-05,0.17810545950975273,0.15265744972026155]
[{"$nulls":8},"Max",20.536027267930592,6.176206207691269,0.0001873919495468465,0.00023449663889483574]
["Gibt den Momentenverlauf die extremalen Schnittgrößen der Nutzlast aus",{"$nulls":7},"Lastfall Nutzlast","V","M","u'","u","Auslastung M","Auslastung Q"]
["Ausgabe",null,"Moment",{"$nulls":4},"Nutzlast","Min",-39.68707934797756,-28.529945978731025,-0.00026674262351246886,-6.261004599827437e-05,0.17810545950975273,0.15265744972026155]
[{"$nulls":8},"Max",37.37717503864141,10.83726890744381,0.0003537139252486553,0.0004449170610464566]
["Gibt den Momentenverlauf die extremalen Schnittgrößen des größen Wertes in allen Lastfällen aus",{"$nulls":7},"größter Wert in allen Lastfällen","V","M","u'","u","Auslastung M","Auslastung Q"]
["Ausgabe",null,"Moment",{"$nulls":4},"LF","Min",-39.68707934797756,-28.529945978731025,-0.00026674262351246886,-6.261004599827437e-05,0.17810545950975273,0.15265744972026155]
[{"$nulls":8},"Max",37.37717503864141,10.83726890744381,0.0003537139252486553,0.0004449170610464566]
["Gibt den Momentenverlauf die extremalen Schnittgrößen des Lastkombination aus",{"$nulls":7},"maximale Größen der Lastfallkombination","V","M","u'","u","Auslastung M","Auslastung Q"]
["Ausgabe",null,"Moment",{"$nulls":4},"LK","Min",-89.30287418509694,-63.83660986531223,-0.0005910316403756556,-0.00014295929523196568,0.17810545950975273,0.15265744972026155]
[{"$nulls":8},"Max",83.78939936966842,24.591510828452673,0.0007835500197612257,0.000983946054077713]

{"sheet":"Beulnachweis","index":1,"n_rows":87,"n_cols":7,"rows_kept":87,"read":"bin_skipped_in_rows","flags":["formulas_cached_only","records_skipped"],"rows_in_doubt":{"n":0,"rows":[]},"rows_in_doubt_other":2}
[]
["Querschnitt Q","S292,8;0,9;0;1,1;1,7;0;0;37;53"]
["Material Mat","S235"]
["Moment M",-7541]
["Zug N",0]
["Emodul E",21000]
["Streckgrenze f_yd",23.5]
["AbstandMomentennullpunkte L_M",0]
[]
["Trägheitsmoment I_y",4005175.8262236356]
["Fläche A",313.495]
["Schwerpunkt S",144.44221040207978]
["Querschnittshöhe H",292.8]
["Innenradius ri",0]
[]
["Spannung unten s_u",-27.1957775613835]
["Spannung oben s_o",27.93300818488083]
["größte Spannung s_Max",27.93300818488083]
["IstFeldmoment?",false]
["IstAluminium?",false]
["Geometrie der Beule"]
["Beulennummer",1,3,4,6,8]
["liegendeBeule?",1,1,1,1,0,"Beule 7-12 stehen im Querschnitt"]
["Beulrechteck links x_1",-18.5,0.45000000000000073,-26.5,0.45000000000000073,-0.4499999999999993]
["Beulrechteck unten y_1",291.7,291.7,0,0,1.7]
["Beulrechteck rechts x_2",-0.4499999999999993,18.5,-0.4499999999999993,26.5,0.45000000000000073]
["Beulrechteck oben y_2",292.8,292.8,1.7,1.7,291.7]
["Serifenlänge untenlinks c_1",0,292.8,0,292.8,53]
["Serifenlänge obenrechts c_2",292.8,0,292.8,0,37]
["Beulbreite b",18.05,18.05,26.05,26.05,290]
["Beuldicke t",1.1000000000000227,1.1000000000000227,1.7,1.7,0.9]
["b/t",16.40909090909057,16.40909090909057,15.323529411764707,15.323529411764707,322.22222222222223]
["Berechnung des Beulwertes"]
["Spannung untenlinks s_1",27.829453430234498,27.829453430234498,-27.0357383951119,-27.0357383951119,-26.8756992288403]
["Spannung obenrechts s_2",27.829453430234498,27.829453430234498,-27.0357383951119,-27.0357383951119,27.725898675588166]
["c_1/t",0,266.1818181818127,0,172.23529411764707,58.888888888888886]
["c_2/t",266.1818181818127,0,172.23529411764707,0,41.11111111111111]
["IstInvertiert?",false,false,false,false,false,"Die erste Spannung ist die negativste"]
["HatZug?",true,true,false,false,false,"Zugquerschnittsteile ist beulen nicht, aber immer noch Schubverzerrung"]
["größte Druckspannung s_1i",27.829453430234498,27.829453430234498,-27.0357383951119,-27.0357383951119,-26.8756992288403,"Invertieren spart Wennformeln,"]
["die andere Spannung s_2i",27.829453430234498,27.829453430234498,-27.0357383951119,-27.0357383951119,27.725898675588166,"muss aber wieder rückgängig gemacht werden"]
["c_1i/t",0,266.1818181818127,0,172.23529411764707,58.888888888888886]
["c_2i/t",266.1818181818127,0,172.23529411764707,0,41.11111111111111]
["Randspannungsverhältnis y",1,1,1,1,-1.0316345051903064]
["zuggelagerter Beulwert k_s1",0.43,0.43,0.43,0.43,0.8611421287509117,"DIN EN 1993-1-5 Tabelle 4.2 oben"]
["druckgelagerter Beulwert k_s2",0.43,0.43,0.43,0.43,24.558855637945175,"DIN EN 1993-1-5 Tabelle 4.2 unten"]
["beidseitig gelagerter Beulwert k_s12",3.9999999999999996,3.9999999999999996,3.9999999999999996,3.9999999999999996,24.662044107012168,"DIN EN 1993-1-5 Tabelle 4.1"]
["Serifenaussteifung a_1",1,7033.139669421196,1,2933.15259515571,336.1123456790123,"DIN EN 1999-1 GL 6.6"]
["Serifenaussteifung a_2",7033.139669421196,1,2933.15259515571,1,161.8901234567901,"DIN EN 1999-1 GL 6.6"]
["ak_s1",0.43,3024.2500578511144,0.43,1261.2556159169553,289.44050085748694]
["ak_s2",3024.2500578511144,0.43,1261.2556159169553,0.43,3975.83617118443]
["Beidseitig?",false,false,false,false,true]
["Beulwert k_s",0.43,0.43,0.43,0.43,24.662044107012168]
[]
["Abminderungsfaktor"]
["MaxBeulspannung s_com,ed",23.412879532412624,23.412879532412624,-22.74512820387949,-22.74512820387949,-22.610487481244462,"DIN EN 1993-1-5 GL 4.4(4); DIN EN 1999-1 6.1.4.4(4)"]
["Bezugsstreckgrenze e_0",23.5,23.5,23.5,23.5,23.5,"DIN EN 1993-1-5 4.4; DIN EN 1999-1 GL 6.1.4.4"]
["Streckgrenzenverhältnis e",1,1,1.0164586981047958,1.0164586981047958,1.0194806055230183,"DIN EN 1993-1-5 4.4; DIN EN 1999-1 GL 6.1.4.4"]
["Die28,43 N",28.42966819963825,28.42966819963825,28.42966819963825,28.42966819963825,28.42966819963825,"DIN EN 1993-1-5 4.4"]
["Schlankheit l_p",0.8801941994264615,0.8801941994264615,0.8086545802907696,0.8086545802907696,2.2386705910365166,"DIN EN 1993-1-5 4.4"]
["Schlankheit h",0.5773502691896257,0.5773502691896257,0.5773502691896257,0.5773502691896257,0.23251706548155182,"DIN EN 1999-1 GL 6.1.4.3"]
[]
["Klasse3b/t bt_QS3s",13.963255096207966,13.963255096207966,14.193072096396707,14.193072096396707,126.15634165160641,"DIN EN 1993-1-5 GL 4.2 und GL 4.3 rückwärts"]
["Klasse3b/t bt_QS3a",8.660254037844387,8.660254037844387,8.802790544564106,8.802790544564106,78.92173790086945,"DIN EN 1999-1 GL 6.1.4.4 Tabelle 6.2"]
["Abminderungsfaktor r_stahl",1,1,0.9491259841051554,0.9491259841051554,0.42509197225274464,"DIN EN 1993-1-5 GL 4.2 und GL 4.3"]
["C_1",9,9,9,9,29,"DIN EN 1999-1 Tabelle 6.3"]
["C_2",20,20,20,20,198,"DIN EN 1999-1 Tabelle 6.3"]
["b_3/e",5,5,5,5,18,"DIN EN 1999-1 GL 6.1.4.4 Tabelle 6.2 aus Tabelle 6.3"]
["Abminderungsfaktor r_alu",1,1,0.770026626880989,0.770026626880989,0.3579478434510737,"DIN EN 1999-1 GL 6.12"]
["mitwirkender Abminderungsfaktor r",1,1,0.9491259841051554,0.9491259841051554,0.42509197225274464]
["bt/bt_QS3",1.1751622953265979,1.1751622953265979,1.0796485290633446,1.0796485290633446,2.5541500173813834]
["Klasse",1,1,4,4,4]
[]
["Schubverzerrung"]
["Schubverzerrung k",0,0,0,0,0,"DIN EN 1993-1-5 Tab 3.1; DIN EN 1999-1 Tab K.1"]
["mittragender Abminderungsfaktor b",1,1,1,1,1,"DIN EN 1993-1-5 Tab 3.1; DIN EN 1999-1 Tab K.1"]
["effektiver Abminderungsfaktor br",1,1,0.9491259841051554,0.9491259841051554,0.42509197225274464,"DIN EN 1993-1-5 GL 3.5"]
["Lage der Beule"]
["invertierter Beulenbeginn h_1i",0,1,0,0.9491259841051554,0.08369457619798117,"DIN EN 1993-1-5 Tabelle 4.1&2"]
["invertiertes Beulenende h_2i",0,1,0.05087401589484464,1,0.36667265433088964,"DIN EN 1993-1-5 Tabelle 4.1&2"]
["relativer Beulenbeginn h_1",0,1,0,0.9491259841051554,0.08369457619798117]
["relatives Beulenende h_2",0,1,0.05087401589484464,1,0.36667265433088964]
["absoluter Beulenbeginn b_h1",0,18.05,0,24.7247318859393,24.271427097414538]
["absolutes Beulenende b_h2",0,18.05,1.3252681140607028,26.05,106.33506975595799]
[]
["Beulengröße b_Beule",0,0,1.3252681140607028,1.3252681140607017,82.06364265854344,"geometrische Zielgröße der Beule für Querschnitt"]
["Offset",-18.5,18.5,-25.837365942969647,25.837365942969647,-79.39675157331375,"Abweichung zur Mitte"]

{"sheet":"Hilfe","index":2,"n_rows":472,"n_cols":71,"rows_kept":472,"read":"bin_skipped_in_rows","flags":["formulas_cached_only","records_skipped"],"rows_in_doubt":{"n":0,"rows":[]},"rows_in_doubt_other":6}
["Inhaltsverzeichnis:","(Durch Anklicken der Überschriften gelangt man über Hyperlinks zum entsprechenden Kapitel)"]
["Allgemeines","Objektübersicht","Objekt Datei","Objekt Last","Objekt Maßkette",null,"Objekt End-of-File"]
["Eingabe und Start",null,"Objekt Balken","Objekt Streckenlast","Objekt Kommentar",null,"Objekt Platz"]
["Fehlerbehebung",null,"Objekt Lager","Objekt Moment","Objekt Ausgabe",null,"Objekt Grafikbreite"]
[null,null,"Objekt Gelenk",null,"Objekt Zeichnungssymbole",null,"Objekt Teilsicherheitsbeiwert"]
[{"$nulls":6},"Objekt Lastfallreihenfolge"]
["Allgemeines"]
["Mit dem WMFbalken können sowohl einseitig eingespannte Balken, als auch Einfeldträger und Durchlaufträger mit Kragarmen berechnet werden. Die Ausgabe ist für Word 2007 optimiert worden."]
["Lizenz: Dieses Programm unterliegt der GNU General Public License Version3"]
["Lizenz: Die Dokumentation des Programm unterliegt der Creative Commonslizenz CC-BY-SA"]
["Der Urheber dieses Werkes ist: Simon Pie     E-Mail: simonapie@googlemail.com"]
["Version ß0.03 wurde gründlich von Christian Götz getestet. Daher ein ganz großes Lob an ihn für seine Mühe."]
["Die Website zum Downloaden der neusten WMF-Balken Version und weiterer spannender Projekte lautet:",{"$nulls":4},"http://www.wot-wmf.de "]
["Das Programm und dessen Dokumentation darf frei benutzt, kopiert, verbreitet, analysiert und bearbeitet werden, solange diese Lizenzbedingungen eingehalten werden."]
["Eine kommerzielle Nutzung des Programms ist erlaubt."]
[]
["Die statische Berechnung erfolgt durch VBA, die Eingabe wird in einem beliebigen Tabellenblatt gemacht."]
["Die Gestaltung des Tabellenblatt kann außerhalb der Objekt-Zeilen frei gewählt werden. Das VBA-Programm ignoriert Textformatierungen in den Zellen, z.B. Farbe, Rahmen,... (AUSNAHME: Datei-Objekt; Lastfall)"]
["Die Spalten A bis H werden vom VBA-Programm auf Grundlage einer vorgegebenen Syntax eingelesen."]
["In der Spalte A wird immer das gewünschte Objekt eingetragen. Mit den Button einzutrageneWerteEinausblenden wird die erforderliche Syntax ergänzt."]
["Pflichtfelder werden in der Hilfe Rot markiert und optionale Felder Blau",null,null,"Rot = müssen; Blau = dürfen"]
[]
["Eingabe und Starten der Berechnung"]
["Die aktuelle angewählte Zelle entscheidet darüber, welche Datei berechnet wird."]
["Hierbei liest das Programm die aktuell angewählte Zeile aus, wandert ganz nach links, dann nach oben bis zum nächsten Datei-Objekt. Und beginnt ab da mit dem Lesen der Eingabewerte."]
["Das Objekt Datei markiert den Beginn der einzulesenden Daten des Durchlaufträgers. "]
["Ein zweites Dateiobjekt, die Eingabe \"EoF\" (=End of File) oder 5 leere Zeilen stoppen das Dateineinlesen."]
["Die Berechnung wird mit Strg+k gestartet, oder mit dem 1001 Button in der Titelleiste von Excel (ganz oben)."]
["WMF zerlegen oder zusammensetzen geht wie beim WMFzerleger mit Strg+j oder Strg+L"]
["Zum WMFzerlegen muss der Start nicht Datei heißen, sondern Dateiname."]
["Mit Alt+F11 wird der VBA-Editor geöffnet. Das Startprogramm heißt DurchlaufträgerBerechnen."]
[]
["Die Systemgrafik kann so geschminkt werden, sodass allgemeine Buchstaben oder Formelzeichen statt reiner Zahlenwerte auftauchen."]
["In jeder Zelle dürfen die Zahlen vorne einen Präfix und hinten eine Einheit haben."]
["Der Präfix wird durch = oder == von der Zahl getrennt. "]
["Werden == verwendet, dann erscheint nur der Präfix in der Systemgrafik. In alle anderen Fälle erscheint die ganze Textzahl."]
["Die Einheit wird mit der Zahl zu einem Wert verschmolzen, mit dem der WMF-Balken dann rechnet."]
["Beispiel","Statisch wirksam","In Systemgrafik angezeigt"]
[12,12,"12"]
["F",0,"F"]
["F=12",12,"F=12"]
["F==12",12,"F"]
["12=F",0,"12=F"]
["F_1==12 ",12,"F1"]
["F==12N",0.012,"F"]
["12MN",12000,"12MN"]
["Mit _ wird der nachfolgende Text bis zum =, Ende oder ^ tiefgestellt."]
["Mit ^ wird der nachfolgende Text bis zum =, Ende oder _ hochgestellt."]
[]
["Fehlerbehebung"]
["keine Panik bei Programmabsturz:"]
["Normalerweise offnet sich der VBA-Editor und meckert, an welcher Stelle er hängen geblieben ist."]
["Er gibt eine wenig hilfreiche Meldung wie z.B. Division durch 0 oder Objekt außerhalb der Liste."]
["Klicke dann auf das Quadrat \"zurücksetzen\". Danach schaue, ob du alle \"müssen\"-Felder eingehalten hast, oder ob du in die richtige Tabelle geklickt hast."]
["Findest du keinen Fehler bei dir, dann schreib mir eine Email an simonapie@googlemail.com."]
["Ist das Programm abgestürtz, dann schalte in Excel die Berechnung von Manuell wieder auf Automatisch um. Formeln => Berechnung => Automatisch"]
[]
["Buttons"]
["Die Menüleiste hat obenlinks Buttons, die in anderen Exceltabellen nicht vorkommen."]
["Die Buttons können daher nur in diesem Excelblatt verwendet werden."]
["Wichtig: Die Tastenkürzel für die Buttons sind in allen geöffneten Exceldatein gültig - auch diejenigen ohne Makros!"]
["Um die 600kB zu sparen und gleichzeitig immer die aktuellste Version zu haben kann man das Programm in der einen Exceldatei haben und die zu berechnenden Träger in der anderen. Die Tastenkürzel gehen, die Buttons fehlen."]
["Achtung: Buttons und Tastenkürzel können nicht rückgängig gemacht werden."]
[]
[null,null,"Bedeutung",{"$nulls":4},"Tastenkürzel"]
[null,null,"Zerlegt eine WMF-Grafik und ließt die Daten in Excel ein",{"$nulls":4},"Strg+j"]
[null,null,"Baut geometrische WMF-Daten in Excel zu einer Datei zusammen",{"$nulls":4},"Strg+L oder Strg+k"]
[null,null,"Berechnet einen Durchlaufträger",{"$nulls":4},"Strg+k"]
[null,null,"Berechnet alle Durchlaufträger in der Tabelle von oben nach unten durch",{"$nulls":4},"Strg+Shift+K"]
[null,null,"Zeigt an oder aus, welche Daten die Durchlaufträgerobjekte benötigen",{"$nulls":4},"Strg+h"]
[null,null,"Öffnet den Dialog für Grundeinstellungen und schreibt sie neben das Dateiobjekt",{"$nulls":4},"Strg+g"]
[null,null,"Öffnet den Dialog für ein Parameterprofil und schreibt es in die gewählte Zelle",{"$nulls":4},"Strg+q"]
[null,null,"Offnet den Dialog zum Objekte eingeben",{"$nulls":4},"Strg+i"]
[null,"┌-----","Setzt die Zahlen in eine Excelformel ein und stellt sie grafisch dar",{"$nulls":4},"Strg+Shift+A"]
[]
["Sollten diese Buttons nicht zu sehen sein, dann gehen nur die Tastenkürzel."]
[]
["Beispiel für den Formeldarsteller"]
[null,"Fall 1","Fall 2"]
["Zahl x",-1.5,-2.5,null,"In Spalte A müssen die Formelzeichen stehen"]
["Länge L_1 [m]",4.32,4.32,null,"Berechnungen dürfen in jeder anderen Spalte sein"]
["Wert A_sd",0.3010299956639812,0.47712125471966244,null,"Unterstützt werden viele grafische Elemente wie Wurzeln, Klammern, Brüche, Tieftext und vorallen verschachtelte Wenn-Formeln."]
["Formel y",1.8226157288049947,1.4477234799123018,null,"Wähle die Zelle aus und drücke Strg+Shift+A!"]
[]
[]
[]
[]
[]
["Die einzelnen Objekte"]
["Übersicht der wichtigsten Objekttypen und deren Syntax:"]
["Objekt","Name","Größe1","Größe2","Ort1","Ort2","Y zeichnen","Lastfall"]
["Datei","Dateiname","Einstellungen","Einstellungen","Einstellungen","Einstellungen"]
["Balken","Querschnitt","Materialgüte","Iy [cm4]","von [m]","bis [m]","E-Modul [kN/cm²]","MRd [kNm];VRD [kN]"]
["Lager","Name","Feder [kN/m]","Drehfeder [kNm/m]","Lagerort [m]","Lagersenkung [m]","Lagerdrehung [m/m]","Lastfall","Wirft Lagerkräfte ab Spalte I aus."]
["Gelenk","Name","Feder [kN/m]","Drehfeder [kNm/m]","Gelenkort [m]","Sprung [m]","Knick [m/m]","Lastfall"]
["Last","Name","Lastgröße [kN]",null,"Lastort [m]",null,"Pfeilhöhe [Twip]","Lastfall"]
["Streckenlast","Name","q links [kN/m]","q rechts [kN/m]","von [m]","bis [m]","Höhe des Pfeilrechteckes [Twip]","Lastfall"]
["Moment","Name","Momentgröße [kNm]","Startwinkel [°]","Momentort","Endwinkel [°]","Drehpfeilhöhe [Twip]","Lastfall"]
["Maßkette","kurzer Name","Objekte","relativ","Array",null,"Yhöhe [Twip]","Lastfall"]
["Kommentar","Position","Text1","Text2","Text3","Text4","Text5","Text6"]
["Ausgabe",null,"gewünschte Werte",null,"Optionen","Zielarbeitsblatt","Zielzeile","Lastfall","Wirft gewünschte Werte ab Spalte I aus."]
["Teilsicherheitsbeiwerte","TSBW","TSBWg","TSBWq","TSBWq2","KBWg","KBWq","KBWq2"]
["Materialbeiwerte",null,"kmod","gHolz","Dauerstandsfaktor","gBeton","Stahlmultiplikator","gStahl"]
["Lastfallreihenfolge","LF1","LF2","LF3","LF4","LF5","LF6","LF7"]
["Grafikbreite",{"$nulls":5},"WMF-Breite [Twip]"]
["Platz",{"$nulls":5},"Yplatz über dem Balken [Twip]"]
["EoF"]
["Um sich die Positionen für den Inhalt nicht merken zu müssen, gibt es oben den <<>>ABC Button zum automatischen eintragen der Werte."]
["Dabei trägt man in Spalte A seine Durchlaufträgerobjekte ein, klickt auf den Button und rechts daneben wird eingeblendet, was wo eingetragen werden muss."]
["Ein zweiter Klick auf den Button löscht die Werte wieder."]
[]
["Achtung: \"Steckenlasten\", \"Datie\" und andere falsch geschriebene Begriffe sind statisch unwirksam."]
["Falsche Buchstaben und Dreher können beim Start von der Rechtschreibkontrolle gefunden werden."]
[]
["Das Dateiobjekt"]
["Datei","Dateiname","Grundeinstellungen für Berechnung, Excelausgabe, RTFdokument und RTFinhalt"]
["Die Formatierung der Schriftgröße und Schriftart in der Zelle Datei wird in die Grafiken übernommen."]
["Soll die RTF-Ausgabe in Times New Roman in Schriftgröße 10 erscheinen, dann muss diese Zelle so formatiert sein."]
["Die Grundeinstellungen in Spalte C bis F legen fest, was berücksichtigt werden soll und was wie dargestellt wird."]
["Der Button für die Grundeinstellungen trägt die Optionen neben das Dateiobjekt ein"]
["Was der Zeichencode bedeutet, steht in der Programmbeschreibung"]
[]
["Das Balkenobjekt"]
["Balken","Querschnitt","Materialgüte","Iy [cm4]","von [m]","bis [m]","E [kN/cm²]","MRd [kNm];VRD [kN]"]
["Balken","HEB 700","S235",256888.42829481393,0,6,21000,"1724,82230426518;1860,10597406921"]
["Fehlen die Angaben zur Balkenposition, dann geht der Balken vom Balkenanfang bis Balkenende."]
["Der erste Balken geht immer von Anfang bis Ende. Weitere Balken überschreiben."]
["Bei einem Balken muss der Querschnitt in gültiger Schreibweise und die Materialgüte angegeben werden."]
["Erlaubt sind übliche Materialien wie S235; C30/37; C30 oder gL24h"]
["Es dürfen Leerzeichen im Querschnitt und in der Materialgüte sein. Groß- und Kleinschreibung ist egal."]
["Als Querschnitte werden viele Normprofile und Parameterprofile unterstützt."]
["Zurzeit werden diese Normprofile unterstützt: IPE; HEA; HEB; HEM; IPEA; IPEO; IPEV; HEAA; UPE; U und Z"]
["Um ein Normprofil zu drehen schreibe 90° davor"]
["Die Querschnittswerte Iy, E, MRd und VRd dürfen angegeben werden, um die automatisch berechneten Werte zu überschreiben."]
["Die Querschnittswerte können mit den Excelfunxionen Qwerte(Profil;Material;Ausgabe) an beliebiger Stelle berechnet werden."]
["Im Balkenobjekt müssen diese jedoch an ihrem vorgeschriebenen Platz sein."]
[]
["Querschnittsbezeichnung für Balken"]
["Für Parameterprofile gibt es einen Button."]
["Alle Längenangaben der Querschnitte sind in cm. Die Zahlen werden durch ein Zeichen (nicht Zellen) getrennt, das weder eine Zahl, ist noch ,._[](){}"]
["20x40  20/40  20a40  20;40 haben die gleiche Bedeutung und beschreiben ein Rechteck mit 40cm Breite, 20 cm Höhe und 0cm Abrundung."]
[]
[null,"Startbuchstabe","Wert1 [cm]","Wert2 [cm]","Wert3 [°]","Wert4 [cm]","Wert5 [cm]","Wert6 [cm]","Wert7 [cm]","Wert8 [%]","Wert9 [cm]","Beschreibung"]
["Rechteckprofil:","  oder N","Höhe","Breite","°Drehung","ra",{"$nulls":5},"Ein Rechteck mit abgerundeten Ecken. Eine 90° Drehung ist einem Tausch von Höhe und Breite gleichwertig."]
["Rohr","RO","Höhe","Breite","°Drehung","tf","tw",{"$nulls":4},"Eine Ellipse minus einer weiteren."]
["Hohlrechteck","R","Höhe","Breite","°Drehung","tf","tw","ra","ri",null,null,"Ein rundes Rechteck minus einem runden Rechteck"]
["I-Profil","I","Höhe","Breite","°Drehung","tf","tw","ra","ri","Flanschneigung","Stegausmitte","Ein doppelsymmetrischer I-Träger"]
["II-Profil","II","Höhe","Breite","°Drehung","tf","tw","ra","ri","Blechdicke","Spalt","Ein doppelsymmetrischer I-Träger mit Stegverstärkung"]
["Schweißquerschnitt","W","Höhe","Breite","°Drehung","tf","tw","ra","ri","Stegnaht","Flanschnaht","Schweiße einen I-Träger irgendwo an und greife die Querschnittswerte ab!"]
["T-Profil","T","Höhe","Breite","°Drehung","tfo","tw","ra","ri","Stegausmitte",null,"T"]
["L-Profil","L","Höhe","Breite","°Drehung","tfu","tw","ra","ri",null,null,"L"]
["U-Profil","U","Höhe","Breite","°Drehung","tf","tw","ra","ri","Flanschneigung",null,"[-Träger. Für ein U muss um 90° gedreht werden."]
["DoppelU","UU","Höhe","Breite","°Drehung","tf","tw","ra","ri","Flanschneigung","Spalt","][-Träger. 2 verdundene U-Träger"]
["Z-Profil","Z","Höhe","Bo","°Drehung","tf","tw","ra","ri","Stegausmitte",null,"Z"]
["Schweißträger","S","Höhe","tw","°Drehung","tfo","tfu","ra","ri","Bo","Bu","Ein einfachsymmetrischer I-Träger"]
["Flügelträger","F","Höhe","tw","°Drehung","tfo","tfu","BoL","BoR","BuL","BuR","Ein I-Träger mit unterschiedlichen Flanschbreiten"]
["V-Profil","V","Höhe","Breite","°Drehung","tf","tw",{"$nulls":4},"ein um 45° gedrehtes Rechteck minus einem weiteren"]
["Kasten","K","Höhe","Breite","°Drehung","tf","tw","Spalt",{"$nulls":3},"2 Stege und 2 Flansche verschweißt zu einem Kasten"]
[]
["Abkürzungen"]
["ra = Außenradius","ri = Innenradius"]
["tf= Flanschdicke","tfo= tf oben","tfu = tf unten"]
["tw= Stegdicke"]
["Spalt = Abstand zaischen den Stegen"]
["Bo= Flanschbreite oben","Bu= Flanschbreite unten"]
["BoL= Bo links","BoR = Bo rechts","BuL= Bu links","BuR = Bu rechts"]
["°Drehung: Jedes Profil kann um 90°; 180° und 270° gedreht werden. "]
[{"$nulls":3},22]
["Beispiele für Profileingaben"]
["Eingabe","gleichwertiges Parameterprofil",null,"Höhe [cm]","Breite [cm]","Iy [cm4]","Wy [cm³]","Av [cm²]","MRd [kNm]","VRd [kN]","g [kN/m]","A [cm²]","Schwerpunkt [cm]"]
["HEB220","I22;22;0;1,6;0,95;0;1,8_HEB220",null,22,22,8090.965215224756,735.5422922931596,27.921239802369072,172.8524386888925,378.8278799261381,0.7146737324485972,91.04123980236908,10.999999999999998]
["90°HEB 220","I22;22;90;1,6;0,95;0;1,8_90°HEB220",null,22,22,2843.2661459920555,258.4787405447323,46.93333333333334,60.74250402801209,636.7788568982113,0.7146737324485972,91.04123980236908,11]
["U100","U10;5;90;0,85;0,6;0,45;0,85;8_U100",null,5,10,29.155386258074493,8.452851111679093,5.666666666666667,1.986420011244587,76.88381084708517,0.10561091852924691,13.453620194808524,1.5508222169214332]
["]100","U10;5;180;0,85;0,6;0,45;0,85;8_]100",null,10,5,205.18517367394486,41.03703473478897,6,9.643703162675408,81.40638795573724,0.1056109185292469,13.453620194808522,4.999999999999999]
["][100","UU10;10;0;0,85;0,6;0,45;0,85;8_][100",null,10,10,410.6192362367786,82.1238472473557,12,19.299104103128588,162.8127759114745,0.2112218370584938,26.907240389617044,4.999999999999999]
["U100","U10;5;90;0,85;0,6;0,45;0,85;8_U100",null,5,10,29.155386258074493,8.452851111679093,5.666666666666667,1.986420011244587,76.88381084708517,0.10561091852924691,13.453620194808524,1.5508222169214332]
["][300","UU30;20;0;1,6;1;0,8;1,6;8_][300",null,30,20,16052.617252466338,1070.1744834977558,60,251.4910036219726,814.0638795573724,0.9225698845236694,117.52482605397063,15.000000000000002]
[null,"DH{(HEB300)(HEB300)(HEB300)()90}",null,30,90,75497.03911930739,5033.13594128716,142.283368665991,1182.78694620248,1930.46251821214,3.51078194402802,447.23336866599,15]
[null,"DV{(DH{(HEB300)(HEB300)(HEB300)()90})(HEB300)(HEB300)()90}",null,90,90,555172.432451529,9739.86723599175,338.788947776651,2288.86880045806,4596.59741963701,5.8513032400467,745.38894777665,57]
[null,"DV{(HEB300)(asd)(HEB300)()90}",null,90,30,318671.380612466,7081.58623583257,94.8555791106608,1664.17276542065,1286.97501214143,2.34052129601868,298.15557911066,45]
[null,"DV{(HEB300)(50x50)(HEB300)()90}",null,90,50,839504.713945799,18655.6603099066,2594.85557911066,4384.08017282806,35206.303327032,21.9655212960187,2798.15557911066,45]
[null,"DF{(HEB300)(50x50)(HEB300)()90;1;4}",null,90,50,839504.713945799,18655.6603099066,1862.62253207703,4384.08017282806,25271.5620768934,21.9655212960187,2798.15557911066,45]
[null,"DH{(HEB1000)(HEB500)(HEB300)()90}",null,100,90,777089.762261053,15541.7952452211,349.731245228353,3652.32188262695,4745.05957155039,6.18392577504256,787.761245228352,50]
[]
["3Punktquerschnitte"]
["DV{(Querschnitt1)(Querschnitt2)(Querschnitt3)(Name)Höhe}",{"$nulls":3},"Ordnet 3 Querschnitte nebeneinander an"]
["DH{(Querschnitt1)(Querschnitt2)(Querschnitt3)(Name)Breite}",{"$nulls":3},"Ordnet 3 Querschnitte übereinander an"]
["DF{(Querschnitt1)(Querschnitt2)(Querschnitt3)(Name)Höhe;cotθ;Typ}",{"$nulls":3},"Ordnet 3 Querschnitte übereinander an und malt ein Fachwerk"]
["Querschnitt 1 ist der obere Querschnitt, Querschnitt 2 ist der \"Steg\" und Querschnitt ist der untere."]
["Soll ein Querschnitt nicht da sein, dann gebe eine leere Klammer ein. Z.B. DF{(HEB120)()(HEB120)(Zweipunktquerschnitt)30;1;2}"]
["Der Querschnittsname ist der Text, der in der Systemgrafik erscheint."]
["Beim Fachwerk gibt es die Typen 0 bis 19. Typ 0= linke Dreiecke //////; 1=rechte Dreiecke \\\\\\\\\\\\; 2= Zikzak /\\/\\/\\; 3= Zakzik \\/\\/\\/; 4=Kreuze XXX. Addiere 5 hinzu um die rechte Hälfte zu spiegeln. Addiere 10 hinzu für senkrechte Streben."]
["cotθ definiert die Neigung der Diagonalen. Cotθ=3 bedeutet, dass die 3 Eineiten nach rechts und eine nach oben geht."]
["Die Neigung ist eine Näherung, da die Anzahl der Felder immer eine gerade Zahl ist."]
["3Punktquerschnitte haben eine hohe Fehleranfälligkeit bei nicht korrekter Eingabe"]
[]
["_Beulen und Name"]
["Hänge dem Querschnitt zusätzliche Informationen mit _ an.",{"$nulls":5},"IPE300","IPE300_sl0;2","IPE300_bl0;2"]
["Es gibt die Startkürzel _sl _sr _su _so und _bl _br _bo _bu für Querschnittsschwächungen. Alles andere ist ein Querschnittsname."]
["Das s steht für Schwächung und das b für Beule. L r o und u stehen für links, rechts, oben und unten."]
["Eine Schwächung ist nur im Querschnitt sichtbar, während eine Beule auch in der Systemgrafik sichtbar ist. Statisch gibt es keinen Unterschied."]
["Die Syntax lautet: _Startkürzel;x1;x2;x3;x4"]
["x1 ist die Länge der erste Beule unten links"]
["x2 ist die Länge der mittleren Beule"]
["x3 ist die Ausmitte der mittleren Beule"]
["x4 ist die Länge der Beule oben rechts"]
["z.B. IPE300_bl0;2 fügt dem Träger im Steg eine 2cm Beule hinzu"]
["I30;15;0;1,07;0,71;0;1,5_IPE300 fügt dem Träger den Name IPE300 hinzu."]
["Verwende Namen, um kryptische Zahlenfolgen verständlich zu machen!"]
[]
["Beulnachweis"]
["Hänge dem Querschnitt eine automatische Beule mit _ba an. Dann wird der Beulnachweis geführt und erscheint im RTF-Dokument."]
["Die Syntax lautet: _baMoment;Normalkraft;Länge"]
["_ba1;0;1 führt den Beulnachweis für ein positives Moment bei einem Abstand der Momentennullpunkte von 1m."]
["Teile den Balken in Bereiche für positive und negative Momente auf und schreibe HEA1000_ba1 und HEA1000_ba-1"]
["Wie können denn zugbeanspruchte Querschnittsteile beulen?"]
["Es gibt nicht nur Beulen, sondern auch Schubverzerrung und das schwächt auch bei Zug. Flansche brauchen eine gewisse Trägerlänge, um sich mit Spannungen füllen zu können."]
["WMF-Balken berechnet viel größere b/t Verhältnisse als nach Norm!"]
["In der Norm gibt es den Passus, dass man die Druckspannung reduzieren kann, wenn die Zugfaser zuerst die Streckgrenze erreicht. Siehe DIN EN 1993-1-5 GL 4.4(4); DIN EN 1999-1 6.1.4.4(4)"]
["Mache den Druckflansch dicker, dann beult er weniger. Nicht nur weil er dicker ist, sondern auch weil der Schwerpunkt nach unten gezogen wird."]
[]
["Das Lagerobjekt",{"$nulls":7},"F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","Name","Feder [kN/m]","Drehfeder [kNm/m]","Lagerort [m]","Lagersenkung [m]","Lagerdrehung [m/m]","Lastfall","Wirft Lagerkräfte ab Spalte I aus."]
["Es sind die Begriffe Lager, Auflager, verschiebliches Lager, Einspannung, Feder, Festlager, Loslager erlaubt."]
["Hat das Lager einen Namen z.B. IPE 300, dann wird im statischen System ein IPE300 Querschnitt unter dem Balken gezeichnet."]
["Im Feld \"Feder\" und \"Drehfeder\" dürfen Angaben zur Lagerung gemacht werden."]
["Dabei bedeutet -1= festes Lager, Zahl = Federkonstante, 0= wirkungslose Feder."]
["Sind diese Werte nicht angegeben oder 0, dann entscheidet der Begriff ob die Feder 0 oder -1 ist."]
["Eine Feder, bei der beide Federsteifigkeiten auf -1 sind, ist das Gleiche wie eine Einspannung."]
["Lagersenkungen können für feste Lager angegeben und einem Lastfall zugeordnet werden."]
["Achtung: Hat das Lager eine Federsteifigkeit ungleich -1, dann wird die Lagersenkung ignoriert"]
["Die Spalte H für Lastfall bestimmt bei Lager, Gelenke, Lasten, Momente und Streckenlasten die Leitfarbe des Lastfalls. Standard sind Grün/Grau;Rot;Blau."]
[]
["Das Gelenkobjekt"]
["Gelenk","Name","Feder [kN/m]","Drehfeder [kNm/m]","Lagerort [m]","Sprung [m]","Knick [m/m]","Lastfall"]
["Das Gelenkobjekt ist das Gegenteil von einem Lager und ist mit diesem fast identisch."]
["Zum Gelenk  dürfen eine Federsteifigkeit und eine Drehfedersteifigkeit angegeben werden."]
["Dabei bedeutet -1= Gelenk; Zahl= versteiftes Gelenk; 0= kein Gelenk"]
["Ist diese Werte nicht angegeben, dann Feder=0 und Drehfeder = -1"]
["Achtung: Ist ein Sprung oder Knick angegeben, dann wird die Feder wirkungslos."]
["Ein Sprung legt eine Wegdifferenz zwischen 2 Elemente fest."]
["Ein Knick legt eine Winkeldifferenz fest."]
["Um ein Sprung in die Biegelinie rein zu bekommen, muss die Drehfeder des Gelenkes versteift werden, da ein nichtangegebener Wert als gelenkig (-1) verstanden wird"]
["Gelenk",null,null,0,null,"Sprung [m]"]
["Bei einem Knick ist dies egal, weil Sprünge Federn löschen und Knicke Drehfedern ignorieren."]
[]
["Das Lastobjekt"]
["Last","Name","Lastgröße [kN]",null,"Lastort [m]",null,"Pfeilhöhe [Twip]","Lastfall"]
["Hat die Last einen Namen z.B. IPE 300, dann wird in der Systemgrafik ein IPE300 Querschnitt auf dem Balken gezeichnet."]
["Spalte D und F werden nicht benötigt."]
["Die Pfeilhöhe gibt die Y-Koordinaten des Lastpfeilanfangs (nicht Pfeilspitze) in der Systemgrafik in der Einheit Twip an."]
["Ein Millimeter auf dem Papier entsprechen 100 Twip. Eine A4 Seite ist 16000 Twip breit."]
["Achtung: Erlaubt ist ein Wertebereich von 0 bis 32767. Twip ist immer ein Integer."]
["Beim WMF-Koordinatensystem zeigt die Y-Achse nach unten. Oben links in der Grafik ist der Koordinatenursprung."]
["Wird die Pfeilhöhe nicht angegeben, dann wird die Last sinnvoll eingereiht."]
[]
["Der Lastfall darf als Text angegeben werden. Dabei ist Lastfall 0 das \"Eigengewicht\"."]
["Lastfall 1 ist der erste gefundene Text, Lastfall 2 der zweite Text usw. Für Klarheit nutze das Objekt Lastfallreihenfolge"]
["Wird der Lastfall nicht angegeben, dann ist es der Lastfall immer \"Eigengewicht\"."]
["Den Lastfall 0 \"Eigengewicht\" gibt es somit immer."]
[]
["Das Momentobjekt"]
["Moment","Name","Momentgröße [kNm]","Startwinkel [°]","Momentort [m]","Endwinkel [°]","Drehpfeilhöhe [Twip]","Lastfall"]
["Für das Momentobjekt gelten die gleichen Regeln, wie für das Lastobjekt "]
["Startwinkel und Endwinkel legen fest, wie der Drehpfeil des Momentes in der Systemgrafik dargestellt wird. Die Winkel haben keine statische Auswirkung."]
["Fehlen diese, dann ist der Startwinkel von Momentort abhängig und der Endwinkel= Startwinkel + 180°"]
[]
["Das Streckenlastobjekt"]
["Streckenlast","Name","q links [kN/m]","q rechts [kN/m]","von [m]","bis [m]","Höhe des Pfeilrechteckes [Twip]","Lastfall"]
["Hat die Streckenlast einen Namen, dann wird dieser Text mitten im Pfeilrechteck geschrieben."]
["Ist die rechte Streckenlastgröße nicht angebenen, dann ist dieser Wert gleich dem linken Wert"]
["Sind beide Orte nicht angegeben oder gleich, dann wird das Objekt ganz am Anfang aussortiert."]
[]
["Das Maßkettenobjekt"]
["Von dem Maßketten gibt es eine limitierte Auswahl, was vermaßt werden kann."]
["Es gibt diese Maßketten:"]
["Maßkette","kurzer Name der Maßkette","Last","relativ","Array",null,"Yhöhe [Twip]","Lastfall","vermaßt die Lasten und Momente im angegebenen Lastfall"]
["Maßkette","kurzer Name der Maßkette","Streckenlast","relativ","Array",null,"Yhöhe [Twip]","Lastfall","vermaßt die Streckenlasten im angegebenen Lastfall"]
["Maßkette","kurzer Name der Maßkette","Last","relativ","Array",null,"Yhöhe [Twip]",-1,"vermaßt alle Lasten und Momente "]
["Maßkette","kurzer Name der Maßkette","Streckenlast","relativ","Array",null,"Yhöhe [Twip]",-1,"vermaßt alle Streckenlasten"]
["Maßkette","kurzer Name der Maßkette","Lager","relativ","Array",null,"Yhöhe [Twip]",null,"vermaßt die Lager"]
["Maßkette","kurzer Name der Maßkette","Elemente","relativ","Array",null,"Yhöhe [Twip]",null,"vermaßt alle finiten Elemente"]
["Der kurze Name wird links neben der Maßkette geschrieben. Der linke Platz ist begrenzt."]
["Im Feld relativ kann absolut oder 1 hingeschrieben werden, um aus der relativen Maßkette eine absolute zu machen."]
["Bei der Vermaßung der finiten Elemente werden alle eingegebenen Koordinaten vermaßt."]
["Bei dem Array werden vor den Zahlen Buchstaben geschrieben. Einträge werden durch Semikolon getrennt."]
["Der Array L_1=;L_2= schreibt vor den ersten beiden Maßen diesen Text, da diese Texte mit = enden. "]
["Der Array L_1;L_2 überschreibt bei den ersten beiden Maßen diesen Text.",{"$nulls":3},"siehe:","Eingabe_und_Start"]
[]
["Das Kommentarobjekt"]
["Kommentar","Position","Text1","Text2","Text3","Text4","Text5","Text6"]
["Fügt ein Kommentar in das RTF-Dokument an einer bestimmten Stelle ein."]
["Die Texte 1-6 werden untereinander in das RTF geschrieben."]
["Die Position bestimmt, wo der Text hinkommt."]
["Möglichkeiten:","Anfang, Eingabewerte, Schnittgrößen, Übersicht, Lastfälle, Auflager, ÜbersichtLK, SchnittgrößenLK, AuflagerLK, Zusammenfassung, Auslastung, Ende"]
[]
["Das Ausgabeobjekt"]
["Ausgabe",null,"gewünschte Werte",null,"Optionen","Zielarbeitsblatt","Zielzeile","Lastfall"]
["Ausgabe",null,"Moment",null,12,null,null,"Lastfallkombination","Hier erscheinden die gewünschten Werte"]
["Mit dem Ausgabeobjekt werden Werte direkt in Excel geschrieben und können so in der Tabelle danach weiterverwertet werden."]
["Als gewünschte Werte sind die Eingaben: Momente, Querkräfte, Vorformungen, Auslastungen und Verdrehungen möglich."]
[]
["Bei Optionen wird unterschieden zwischen einer Zahl, einem Array, dem Text \"Elemente\", einem anderen Text oder einer leeren Zelle."]
["Zahl: Die Anzahl der Teilungen legt fest, wie viele Werte in Excel ausgegeben werden. 2 bedeutet z.B.: Balkenanfang, Mitte und Balkenende"]
["Array: z.B. 2;4;5,7;9 um an diesen Stellen die Werte aus zu geben"]
["Elemente: Für jedes Element werden die größten und kleinsten Werte ausgegeben"]
["Text: Wird bei der Anzahl der Teilungen ein Text angegeben, dann werden alle Werte (Elemente*Elementteilung) ausgegeben"]
["leer: Ist die Anzahl der Teilungen nicht angegeben oder 0, dann wird eine Tabelle der extremalen Schnittgrößen ausgegeben."]
["Wird die Zielzeile nicht angegeben, dann ist die Ausgabe genau neben dem Ausgabeobjekt"]
["Wird das Zielarbeitsblatt nicht angegeben, dann ist die Ausgabe in diesem Arbeitsblatt"]
["Für den Lastfall sind folgende Werte möglich (Anzahl der Teilungen ist nicht leer):"]
["0 oder positive Zahl oder Lastfallname: gibt den Verlauf des Lastfalls aus"]
["-1: positive/ maximale Werte der Lastfallkombination"]
["-2: negative/ minimale Werte der Lastfallkombination"]
["Statt -1 und -2 können auch die Wörter positiv, negativ, Max und Min verwendet werden"]
[{"$nulls":8},0,0.8333333333333334,1.6666666666666667,2.5,3.3333333333333335,4.166666666666667,5,5.833333333333333,6.666666666666667,7.5,8.333333333333334,9.166666666666666,10]
["Ausgabe",null,"Moment",null,12,null,null,0,0,5.4833333333333,10.276666666666635,14.372499999999953,17.713333333333402,19.799999999999972,20.499999999999858,19.799999999999795,17.7133333333331,14.372499999999736,10.276666666666422,5.483333333333184,0,1.95,2.1,2.25,2.4,2.55,2.6999999999999997,2.85,3]
["Beispiele:","Es wird der Momentenverlauf für den Lastfall Eigengewicht ausgegeben. Oben in den Zwölftelspunkten, unten für alle Werte.",{"$nulls":6},0,0.15,0.3,0.44999999999999996,0.6,0.75,0.8999999999999999,1.05,1.2,1.3499999999999999,1.5,1.65,1.7999999999999998,1.95,2.1,2.25,2.4,2.55,2.6999999999999997,2.85,3,3,3.2,3.4,3.6,3.8,4,4.2,4.4,4.6,4.8,5,5.2,5.4,5.6,5.800000000000001,6,6.2,6.4,6.6,6.800000000000001,7,7,7.15,7.3,7.45,7.6,7.75,7.9,8.05,8.2,8.35,8.5,8.65,8.8,8.95,9.1,9.25,9.4,9.55,9.7,9.85,10]
["Ausgabe",null,"Moment",null,"alle",null,null,0,0,1.0387499999999683,2.054999999999958,3.048749999999945,4.019999999999946,4.968749999999973,5.8949999999999605,6.798749999999961,7.679999999999977,8.53874999999998,9.37499999999995,10.188749999999965,10.979999999999993,11.748749999999944,12.49499999999993,13.218749999999948,13.919999999999952,14.598749999999953,15.254999999999896,15.888749999999973,16.499999999999915,16.500000000000085,17.260000000000044,17.94000000000008,18.540000000000017,19.060000000000013,19.499999999999986,19.85999999999997,20.139999999999926,20.339999999999907,20.45999999999988,20.499999999999858,20.459999999999855,20.339999999999833,20.139999999999777,19.859999999999797,19.49999999999978,19.05999999999976,18.53999999999977,17.939999999999763,17.259999999999778,16.499999999999886,16.499999999999822,15.888749999999833,15.254999999999773,14.598749999999741,13.919999999999725,13.218749999999712,12.494999999999742,11.748749999999763,10.97999999999978,10.188749999999757,9.374999999999769,8.53874999999979,7.679999999999794,6.798749999999824,5.894999999999834,4.968749999999866,4.019999999999868,3.048749999999913,2.0549999999999216,1.0387499999999363,0]
["Über der Ausgabe werden die X-Koordinaten geschrieben.",{"$nulls":8},"V","M","u'","u","Auslastung M","Auslastung Q"]
["Ausgabe",null,"nicht benötigt",null,"[leer]",null,null,"Lastfall","Min",-17.5,-10.00000000000001,-0.0003784684934028281,-0.00019377586862224795,1.9458592592592514,1.4593944444444371]
["Weitere Beispiele finden sich in dem Arbeitsblatt \"Beispiele\" und Datei \"Ausgabe\"",{"$nulls":7},"Max",22.50000000000001,15.300000000000004,0.0002960254399232454,0.0004421268939931837]
["leer: Die Werte -1 und -2 des Lastfalls haben andere Bedeutung. -1= maximale Größen der Lastfallkombination. -2= größter Wert in allen Lastfällen"]
["leer: Statt -1 und -2 können auch die Wörter LK, Lastkombination, Lastfallkombination oder Lastfälle, LF verwendet werden."]
["Wichtig: Diese Ausgabe benötigt Platz. Ist in der Zeile daneben ein Lager oder eine andere Ausgabe, dann werden die Ausgabewerte überschrieben"]
[]
[]
["Das Objekt für Zeichnungssymbole"]
["E‹×b‘î","Name","Objekthöhe [m]",null,"Objektpunkt [m]","Objektende [m]","Höhe über Balken [m]"]
["Objekte, die das Programm keine der anderen Objekttypen zuordnen kann, werden eingelesen und in die Systemgrafik gezeichnet, wenn es dessen Name erkennt."]
["Als Name sind alle Profilquerschnitte erlaubt und zusätzliche geometrische Begriffe:"]
[null,"Name"]
[null,"Querschnitt",null,null,"XObjektmittelpunkt [m]",null,"YHöhe über Balken [m]",null,"Zeichnet ein Querschnitt"]
[null,"Ellipse","YObjektlänge [m]",null,"XObjektanfang [m]","XObjektende [m]","YHöhe über Balken [m]",null,"Zeichnet eine Ellipse"]
[null,"Kreuz","YObjektlänge [m]",null,"XObjektanfang [m]","XObjektende [m]","YHöhe über Balken [m]",null,"Zeichnet ein Kreuz"]
[null,"Rechteck","YObjektlänge [m]",null,"XObjektanfang [m]","XObjektende [m]","YHöhe über Balken [m]",null,"Zeichnet ein Rechteck"]
[null,"Rkreuz","YObjektlänge [m]",null,"XObjektanfang [m]","XObjektende [m]","YHöhe über Balken [m]",null,"Zeichnet ein ausgekreuztes Rechteck"]
[null,"Linie","YObjektlänge [m]",null,"XObjektanfang [m]","XObjektende [m]","YHöhe über Balken [m]",null,"Zeichnet eine Linie"]
[null,"Pfeil","YObjektlänge [m]",null,"XObjektanfang [m]","XObjektende [m]","YHöhe über Balken [m]",null,"Zeichnet ein Pfeil"]
[null,"Lager","Feder [kN/m]","Drehfeder [kNm/m]","XObjektmittelpunkt [m]",null,"YHöhe über Balken [m]",null,"Zeichnet ein statisch wirkungsloses Lager"]
[null,"Text","Text",null,"XObjektmittelpunkt [m]",null,"YHöhe über Balken [m]",null,"Zeichnet einen Text"]
["Für Objekte mit Basispunkt ist nur die Balkenposition erforderlich und sie werden in Balkenmitte gezeichnet."]
["Profile, Lager und Texte werden an ihrem Basispunkt in Balkenmitte gezeichnet."]
["Geometrische Objekte werden durch ein umschließendes Rechteck definiert und brauchen daher weiter Angaben."]
["Der Basispunkt ist bei einem Profil unten mittig."]
["Der Basispunkt ist bei einem Lager oben mittig."]
["Der Basispunkt ist bei einem Text oben links."]
["In X-Richtung geht das Objekt von Objektanfang bis Objektende."]
["In Y-Richtung beginnt es an der Höhe über den Balken und geht so hoch, wie es lang ist."]
["Achtung: Auch wenn alle Angaben in m sind, werden diese in Twip umgerechnet und müssen im gültigen Wertebereich liegen."]
["Wird in einem 5m langen Balken an der Stelle von 20m bis 21m ein Kreis gezeichnet, dann crasht die WMF-Datei."]
[]
["Besondere Objekte mit Befehlscharakter"]
["Das End-of-File Objekt"]
["EoF"]
["Beendet an dieser Stelle das Zeileneinlesen."]
[]
["Das Platz Objekt"]
["gibt es ncht mehr",{"$nulls":5},"Yplatz über dem Balken [Twip]"]
["Legt den Platz für die Objekte über dem Balken fest. Überschreibt die Grundeinstellung für doppelten Platz."]
[]
["Das Objekt für die Grafikbreite"]
["Grafikbreite",{"$nulls":5},"WMF-Breite [Twip]"]
["Legt fest, wie breit die Grafiken sein sollen. Überschreibt die Grundeinstellung für halbe Grafikbreite."]
["Voreingestellt ist ein Wert von (3,5+53+4)*256= 15488 für volle Breite und halbe Breite = (3,5+22,5+4)*256= 7680"]
["Achtung: Der Wert muss zwischen 8,5*256 und 128*256 liegen. Werte nahe 8,5*256 sind riskant."]
["Ungefär 16000 passen auf eine A4 Breite. Nutze den Befehl Grafikbreite, um die Grafiken auf ein schmaleres Blatt zu bekommen, oder um den restlichen cm auch noch aus zu nutzen."]
["Vielfache von 256 sind nicht notwendig."]
[]
["Das Objekt für Teilsicherheitsbeiwerte"]
["Teilsicherheitsbeiwerte","TSBW","TSBWg","TSBWq","TSBWq2","KBWg","KBWq","KBWq2"]
["Angegebene Werte überschreiben die Voreinstellungen. Voreingestellt sind diese:"]
["Teilsicherheitsbeiwerte",1,1.35,1.5,1.5,1,1,0.9]
["TSBW multipliziert die Auslastungen. (Bietet einen zusätzlichen Teilsicherheitsbeiwert)"]
["TSBWg und KBWg multiplizieren das Eigengewicht (Lastfall 0) in der Lastfallkombination."]
["TSBWq und KBWq multiplizieren den ersten Lastfall in der Lastfallkombination."]
["TSBWq2 und KBWq2 multiplizieren weitere Lastfälle in der Lastfallkombination."]
[]
["Das Objekt für Materialteilsicherheitsbeiwerte"]
["Materialbeiwerte",null,"kmod","gHolz","Dauerstandsfaktor","gBeton","Stahlmultiplikator","gStahl"]
["Voreingestellt sind diese Werte"]
["Materialbeiwerte",null,0.9,1.3,0.85,1.5,1,1]
["Eine Festigkeit wird mit einem Faktor multipliziert und durch den Teilsicherheitsbeiwert dividiert"]
["gHolz, gBeton und gStahl sind die Materialteilsicherheitsbeiwerte und die anderen die Vorfaktoren."]
["Dieses Objekt hat außerhalb einer Durchlaufträgerberechnung keinen Einfluss z.B. Parameterprofileingeben oder Qswerte"]
["Das Objekt beeinflusst nur die automatische Berechnung von MRd und VRd im Balkenobjekt. Sind MRd und VRd manuell angegeben, dann werden diese nicht geändert."]
[]
["Das Objekt für die Lastfallreihenfolge"]
["Lastfallreihenfolge","LF1","LF2","LF3","LF4","LF5","LF6","LF7"]
["Mit diesem Befehl wird festgelegt, an welcher Stelle der Lastfall steht. Ohne diesen Befehl werden den Lastfallname zufällige Nummern zugeordnet."]
["Problembeispiel: gewünschte Lastkombination = 1,35*LF0 + 1,5*LF1+ 0,6*1,5*LF2. Es gibt die Lastfälle Eigengewicht, Nutzlast und Schnee."]
["Damit der Lastfall Schnee auch sicher zu Lastfall2 wird, muss die Lastfallreihenfolge festgelegt werden:"]
["Lastfallreihenfolge","Nutzlast","Schnee"]
["Das Eigengewicht ist immer der Lastfall 0."]
["Leere Eingaben werden ignoriert. Falschgeschriebene Lastfälle erzeugen einen Lastfall ohne Lasten."]
["Der WMF-Balken kann nur eine Lastfallkombination berechnen und nicht mehrere!"]
[]
["Funxionen für Excel"]
["Das Programm WMF-Balken benutzt neben Prozeduren auch viele Funxionen."]
["Eine Funxion hat Eingabeparameter und einen Rückgabewert."]
["Alle Funxionen können auch in Excel verwendet werden, wobei nur wenige Sinn machen. Insbesondere die Funxionen zum Zeichnen werfen in Excel keine Geometrie aus, sondern Asciizeichen."]
["Die Farbe besagt, wie sinnvoll es ist, diese Funxion in Excel zu benutzen."]
["Die roten Funxionen werden hier mal aufgelistet, sind aber in Ecxel nicht zu gebrauchen. Beim Eintippen von Formeln, werden diese denoch von Excel vorgeschlagen."]
[null,"Eingabewerte","Eingabewert","Beispiel","Beschreibung"]
["Balkenzeichnen; Checksumme; FüllerErstellen; Linieüberschreiben; Piktogrammzeichnen; Querschnittzeichnen; TextZeichnen; BiLinieZeichnen; Dateieinlesen; GelenkZeichnen; LinieZeichnen; PinselErstellen; Radiuspunkt; TriLinieZeichnen"]
["BiMaßPfeilspitzeZeichnen; Diagrammschreibzeug; InfoPixel; MaßPfeilspitzeZeichnen; Polyglätten; RechteckZeichnen; Vermaßen; BiVermaßen; DreieckZeichnen; KKTDiagramm; Objektevermaßen; PolygonZeichnen; RTFkommentar; ViereckZeichnen"]
["BogenPfeilZeichnen; Dschreibzeug; Kopieren; ObjektWählen; PolylinieZeichnen; RTFtabelle; WmfBiPunkt; BogenZeichnen; EllipseZeichnen; Lagerteil; PfeilspitzeZeichnen; Polymaßkette; RundesRechteckZeichnen; WMFheader"]
["Fenster; LagerZeichnen; Pfeilviereck; PositiverWinkel; Strichliniezeichnen; WMFinRTFeinfügen; FontErstellen; letzteObjekte; PfeilZeichnen; QuerschnittVermaßen; TexteRausziehen; WmfPunkt"]
["ChecksummeInt","c1…c8%","1;2;3;4;5;6;7;8",22297,"Berechnet die Checksumme des placeable Headers einer WMF-Datei"]
["Diagrammfaktor","Ableitung%, Zahl#",6931.471805599453,0.001,"bestimmt, welche Maßeinheit für das Diagramm genutzt werden soll"]
["DiagrammYbeschriftung","Ableitung%, Zahl#",6931.471805599453,"u'(x) Verdrehungen in km/m","bestimmt, welche Maßeinheit für das Diagramm genutzt werden soll"]
["ELmatrix6","i%, j%, Länge#",4,2.3714285714285714,"ließt einen Wert aus der Elementsteifigkeitsmatrix aus"]
["Krafteinheit","Ableitung%, Zahl#",6931.471805599453,"[km/m]","bestimmt, welche Maßeinheit für das Diagramm genutzt werden soll"]
["RekordZahl","WMFrekord$, Stelle%",")§ä^6n@bQ²#",24292,"verwandelt ein Doppelbyte eines WMF-Rekords in eine ganze Zahl"]
["RTFtext","Text$",2.344,"2,344","schreibt Text so um, wie er in RTF geschrieben wird"]
["RTFwert","Prafix$, Text$, Suffix$",3.12,"F=3,12 kN","verbindet eine Zahl mit Präfix und Suffix für die RTFausgabe"]
["BekanntesWort","Text$","Baklen","Balken","primitive Rechtschreibkontrolle"]
["Einheitauslesen","Textzahl$","MRd=12,64kNm","kNm","ließt aus einer Textzahl die Einheit raus"]
["EinheitSI","Einheit$","kNm",1000,"Wandelt eine Einheit in eine SI-Einheit um"]
["LeerzeichenAusfegen","Text$","Heb 300","HEB300","Entfernt Leerzeichen aus einem Text, sodass man Profile flexibler schreiben kann"]
["Objektname","Objekttyp%",764,"Pinsel","Erspart das merken, welches WMF-Objekt welchen Typ hat"]
["Objektzahl","Objekttyp$","Rechteck",1051,"Erspart das merken, welches WMF-Objekt welchen Typ hat"]
["Semikolonzählen","Text$","U30;10;90;1,5;0,95;0;1,5",6,"zählt sie Semikolons in einem text"]
["Textauslesen","ZahlmitText$","M==12,5","M","ließt den Text aus einer Textzahl aus"]
["TextSonderlänge","Text$, Schriftart$","ABC",4.1123046875,"bestimmt präziser, wie lang ein Text ist. Länge(ABC)=3 Da ABC lange Großbuchstaben sind, brauchen sie so viel Platz wie 4,25 Buchstaben."]
["WmfZahl","Doppelbyte$","ß§",-22561,"verwandelt 2 Zeichen in eine Zahl. Zeichen(Buchstabe) macht nur ein Zeichen"]
["WmfZeichen","%",25185,"ab","verwandelt eine Zahl in 2 Zeichen. Code(Zahl) macht nur ein Zeichen."]
["Zahlauslesen","ZahlmitText$, Zieleinheit$","M==12,5Nm",0.0125,"ließt die Zahl aus einer Textzahl aus und berücksichtigt die Einheit"]
["Zahllänge","Zahl#",123456,6,"bestimmt wie lang eine Zahl ist. Minus und Komma sind kürzer"]
["Wertauslesen","ZahlmitText$, Stelle%","U30;10;90;1,5;0,95;0;1,5",10,"ließt aus Semikolon getrennten (Querschnitts)werten einen Wert aus"]
["Abschneiden2","Zahl#, Stellen%",3.141592653589793,3.141,"schneidet eine Zahl auf eine Bestimmte Länge zu"]
["EinheitUmwandeln","Zahl#, Isteinheit$, Zieleinheit$",12,0.12,"=Zahl*EinheitSI(Isteinheit)/EinheitSI(Zieleinheit)    Wandelt zwischen Einheiten um"]
["Profilkonvertieren2","Querschnitt$","UPE300","U30;10;90;1,5;0,95;0;1,5","Wandelt ein Normprofil in ein Parameterprofil um"]
["Abschneiden","Zahl#",3.141592653589793,3.14,"rundet eine Zahl auf eine kurze Länge nach der entropischen Rundungsregel."]
["In der Praxis hat es sich ergeben, dass die WMF-Balkenfunxionen in Excel nicht zu gebrauchen sind, außer Qswerte, die es nicht mehr gibt."]
[]
["Querschnittswerte in Excel"]
["Um in Excel mit Querschnittswerten rechnen zu können, gibt es nun die Formel Qwerte."]
["Qwerte(Querschnitt;Material;Ausgabe)"]
["Querschnitt ist ein beliebiges Normprofil; Parameterprofil oder Dreipunktquerschnitt z.B. HEB300 oder 30x30 oder DF{(HEB300)(50x50)(HEB300)()90;1;4}"]
["Material z.B. C24; Al235; S355 oder C30/37"]
["Für die Ausgabe wird der Name des Wertes benötigt z.B Iy gibt das Flächenträgheitsmoment aus"]
["Querschnitt","Material","Ausgabe","Beispiel","Einheit","Bedeutung"]
["U300","S235","A",58.76241302698532,"cm²","Querschnittsfläche"]
["U300","S235","Av",21.333333333333332,"cm²","Schubfläche"]
["U300","S235","Breite",30,"cm","Gesamtbreite"]
["U300","S235","E",21000,"kN/cm²","Emodul"]
["U300","S235","fvd",13.567731325956206,"kN/cm²","Schubfestigkeit mit Teilsicherheitsbeiwert"]
["U300","S235","fyd",23.5,"kN/cm²","Biegefestigkeit mit Teilsicherheitsbeiwert"]
["U300","S235","g",0.46128494226183475,"kN/m","Eigengewicht"]
["U300","S235","GS",7.299163487397175,"cm","Gegenschwerpunkt (von oben bis zum Schwerpunkt)"]
["U300","S235","Höhe",10,"cm","Gesamthöhe"]
["qwertzuiop","S235","IstSchlecht",true,"?","Beschreibt dies einen sinnvollen Querschnitt?"]
["U300","S235","Iy",493.21096558196365,"cm4","Flächenträgheitsmoment"]
["U300","S235","Material","Stahl","$","Material"]
["U300","S235","MRd",15.879158907987707,"kNm","Momententragfähigkeit"]
["U300","S235","Q","U30;10;90;1,6;1;0,8;1,6;8_U300","$","Parameterprofil"]
["U300","S235","ra",0.8,"cm","Außenradius"]
["U300","S235","ri",1.6,"cm","Innenradius"]
["U300","S235","S",2.7008365126028253,"cm","Schwerpunkt (von unten bis zum Schwerpunkt)"]
["U300","S235","tfo",1.6,"cm","Flanschdicke oben bei 0° Drehung"]
["U300","S235","tfu",1.6,"cm","Flanschdicke unten bei 0° Drehung"]
["U300","S235","tw",1,"cm","linke Stegdicke"]
["U300","S235","tw2",0,"cm","andere Stegdicke"]
["U300","S235","Typ","U","$","Profiltyp"]
["U300","S235","VRd",289.4449349537324,"kN","Querkrafttragfähigkeit"]
["U300","S235","Wy",67.57088897016045,"cm³","Widerstandsmoment"]
["Um einen String direkt in die Formel ein zu geben, musst du diesen in Anführungsstriche setzen."]
["Falsch","Qwerte(A447;B447;Iy)",null,{"$error":"#VALUE!"}]
["Richtig","Qwerte(A447;B447;\"Iy\")",null,493.21096558196365]
["Die Formel Qwerte erzeugt im Rechner einen Querschnittsobjekt und rechnet alle Werte aus, von denen nur ein einziger in Excel erscheint."]
["Qwerte ist daher sehr langsam und für große Datenblätter mit über 1000 Werten schlecht geeignet. Solltest du nach jenem Mausklick oder Enter eine halbe Sekunde warten müssen, dann wird Qwerte zu oft verwendet."]

{"sheet":"WMFzerleger","index":3,"n_rows":322,"n_cols":23,"rows_kept":322,"read":"bin_skipped_in_rows","flags":["formulas_cached_only","records_skipped"],"rows_in_doubt":{"n":0,"rows":[]},"rows_in_doubt_other":24}
["Mit dem WMFzerleger können Grafiken in Excel erzeugt werden."]
["Eine sich dem Inhalt anpassende Grafik wird bei häufig genutzten Vorlagen oder Berechnungen benötigt."]
["Das Dateiformat ist WMF."]
[null,"Ein WMFile startet mit dem placeable Header dann kommen die Objekte."]
[null,"Die Objekte unterteilen sich in geometrische Objekte (Linien, Kreise), Malobjekte und sonstige Objekte. Außerdem gibt es zusätzliche Objekte in Excel, die gleich mehrere Objekte auf einmal zeichnen."]
[null,"Die Objekte werden in Excel Zeile für Zeile eingetragen."]
[null,"Klicke in die Daten und dann erzeugt Strg+L ein WMF."]
[null,"Eine Datei startet mit dem placeable Header."]
[null,"In Spalte D befindet sich die Objektlänge in Doppelbyte. Dieser Wert muss korrekt sein."]
[null,"In Spalte E befindet sich der Objekttyp."]
[null,"In jeder Zelle muss bis auf wenige Ausnahmen eine ganze Zahl zwischen -32768 und 32767 stehen. Nachkomma wird ignoriert."]
[null,"Die Spalte entscheidet, was diese Zahl im Objekt bedeutet."]
[null,"Eine ungültige Zahl führt oft zum Absturz. Speichere daher vor dem WMFzusammensetzen."]
[null,"Links und rechts von den Objekten dürfen Hilfsrechnungen durchgeführt werden."]
[]
["Zur Auswahl stehen diese Objekte"]
["der placeable Header"]
["Dateiname:","Dateiname",null,"placeable Header",52695,39622,0,0,0,"Bildbreite X","Bildhöhe Y","Zoom"]
[]
["geometrische Objekte",null,1048,7,"Ellipse","Y untenrechts","X untenrechts","Y obenlinks","X obenlinks",{"$nulls":7},24]
[null,null,1051,7,"Rechteck","Y untenrechts","X untenrechts","Y obenlinks","X obenlinks",{"$nulls":7},27]
[{"$nulls":3},{"$error":"#VALUE!"},"Polylinie","Anzahl der Punkte","x","y","x","y"]
[{"$nulls":3},{"$error":"#VALUE!"},"Polygon","Anzahl der Punkte","x","y","x","y","x","y"]
[{"$nulls":3},8,"Text",4,"Text","y","x"]
[null,null,2071,11,"Arc","YendArc","XendArc","YstartArc","Xstartarc","Y untenrechts","X untenrechts","Y obenlinks","X obenlinks"]
[null,null,2074,11,"Pie","YendArc","XendArc","YstartArc","Xstartarc","Y untenrechts","X untenrechts","Y obenlinks","X obenlinks"]
[null,null,2096,11,"Chord","YendArc","XendArc","YstartArc","Xstartarc","Y untenrechts","X untenrechts","Y obenlinks","X obenlinks"]
[{"$nulls":3},9,"rundesRechteck","Abrunden","Abrunden","Y untenrechts","X untenrechts","Y obenlinks","X obenlinks"]
[]
["Malobjekte, die mit ObjektWählen ausgewählt werden müssen",null,null,8,"Füller",0,"Dicke",0,"Rot + 256*Grün","Blau"]
[{"$nulls":3},7,"Pinsel",0,"Rot + 256*Grün","Blau"]
[{"$nulls":3},28,"Font","Höhe",0,"Winkel in Zehntelgrad",0,400,0,0,0,0,"Schriftart(32String)"]
[]
["andere Objekte",null,null,4,"ObjektWählen","Objektnummer"]
[{"$nulls":3},5,"Textabdecken",2,0]
[{"$nulls":3},5,"Textfarbe","Rot + 256*Grün","Blau"]
[{"$nulls":3},5,"Textausrichten","0=oben links; 1=1xnutzen; 2=rechts; 6=Mitte; 8= unten; 24=Basislinie",0]
[]
["zusätzliche Objekte",null,null,7,"Kreis","Radius","X","Y"]
[{"$nulls":3},18,"Pfeil","Pfeilgröße","xAnfang","yAnfang","xEnde Pfeilspitze","yEnde"]
[{"$nulls":3},21,"Bogenpfeil","Pfeilgröße","x1","y1","x2","y2","x3","y3"]
[{"$nulls":3},53,"Maßkette","Pfeilgröße","xAnfang","yAnfang","xEnde","yEnde","Text1"]
[{"$nulls":3},82,"BiMaßkette","Pfeilgröße","xAnfang","yAnfang","xEnde","yEnde","x1","y1","Text1","Text2","Untertext3"]
[{"$nulls":3},140,"Polymaßkette","Pfeilgröße",4,"Text1;Text2;Text3;Text4","xAnfang","yAnfang","xEnde","yEnde","L1","L2","L3"]
[{"$nulls":4},"Diagramm","Pfeilgröße","x1 Fenster","y1 Fenster","x2 Fenster","y2 Fenster","Name der X Axe","X Teilungen","LegendeX",0,"Überschrift","Pfeilfüller","Pfeilfarbe","TextRot;TextGrün;TextBlau","X Wertearray","X Wertearray","X Wertearray","X Wertearray"]
[{"$nulls":9},"Textschieben","Name der Y Axe","Y Teilungen","LegendeY","Kurven","Kurve1","Füller","Farbe","Rot;Grün;Blau","Y1 Wertearray","Y1 Wertearray","Y1 Wertearray","Y1 Wertearray"]
[{"$nulls":14},"Kurve2","Füller","Farbe","Rot;Grün;Blau","Y2 Wertearray","Y2 Wertearray","Y2 Wertearray","Y2 Wertearray"]
[{"$nulls":4},"Nichts","überspringt eine Zeile, ohne dass was gezeichnet wird",{"$nulls":8},"Kurve3","Füller","Farbe","Rot;Grün;Blau","Y3 Wertearray","Y3 Wertearray","Y3 Wertearray","Y3 Wertearray"]
[{"$nulls":4},"PolytextH","Texte getrennt mit_","x","y","x2","x3","x4"]
[{"$nulls":4},"PolytextV","Texte getrennt mit_","x","y","y2","y3","y4"]
[{"$nulls":4},"Kopieren","Anzahl der letzten Objekte","dx","dy","Anzahl der Kopien","ohne allerletzte Objekte"]
[{"$nulls":3},{"$error":"#VALUE!"},"Pfeilviereck","Pfeilgröße","x1","y1","x2","y2","x3","y3","x4","y4"]
[{"$nulls":3},11,"Arc, Pie oder Chord","y1","x1","y2","x2","y3","x3","leer"]
[{"$nulls":4},"Lagerteil","Typ","X","Y","Größe","Wert"]
[{"$nulls":4},"Lager","Variante","X","Y","Größe","Höhe","Federkonstante","Drehfederkonstante"]
[{"$nulls":4},"Gelenk","Variante","X","Y","Größe","Höhe","Federkonstante","Drehfederkonstante"]
[{"$nulls":3},28,"Mleader","Pfeilgröße","x1","y1","x2","y2","Text"]
[{"$nulls":4},"Querschnitt","Profil","X","Y","M1:100","Pfeilgröße","Außenkontur?","Innenkontur?","Hvermaßen?","Vvermaßen?"]
[{"$nulls":4},"QuerschnittFenster","Profil","x1","y1","x2","y2","Einfügepunkt (o,l,r,u,ol,ul,ur,or,m)","Pfeilgröße","Außenkontur?","Innenkontur?","Hvermaßen?","Vvermaßen?"]
[{"$nulls":4},"Balken","Profil","x1","y1","x2","Pfeilgröße","M1:100","Layer1_Basis","L2_RadiusO","L3_RadiusU","L4_helleStegbeule","L5_dunkleStegbeule","L6_helleStegbeule","L7_Verdeckt","L8_Nachzeichnen"]
[]
["Der placeable Header"]
[null,"Der placeable Header beginnt in Spalte E mit der Schlüsselzahl 52695 und legt damit auch den Anfang der Datei fest."]
[null,"Der Dateiname wird in Spalte B geschrieben. Zum Einlesen muss in Spalte A das Wort Dateiname stehen."]
["Dateiname:","Dateiname",null,"placeable Header",52695,39622,0,0,0,"Bildbreite X","Bildhöhe Y","Zoom"]
[null,"Bildbreite und -höhe legen den sichtbaren Bereich fest."]
[null,"Der Zoom beschreibt, wie groß der Inhalt angezeigt wird. Je größer der Wert, desto kleiner ist die Anzeige."]
[null,"Dabei bedeutet 96, dass eine Einheit ein Pixel groß ist. "]
[null,"Eine Linie, die 4000 lang ist, wird beim Wert 96 genau 4000 Pixel lang sein. Zoomt man in Word, bleibt die Linie natürlich weiterhin glatt."]
[null,"Bedeutend ist die Zahl 2540. Bei diesem Zoom ist sind 100 Einheiten genau 1 Millimeter. Die 4000 lange Linie erscheint auf dem Papier in 40mm Länge."]
[]
["geometrische Objekte"]
[null,"Beim WMF-Koordinatensystem geht die X-Axe nach rechts und die Y-Axe nach UNTEN!",{"$nulls":7},"WMF","X"]
[null,"Ist eine Zelle in Spalte D leer, dann bedeutet dies das Dateiende."]
[null,"Eine WMF-Datei muss ein Textobjekt enthalten, da sonst Excel sich weigert sie korrekt zu lesen."]
["Beispiel Polylinie",{"$nulls":8},"Y"]
[{"$nulls":3},{"$error":"#VALUE!"},"Polylinie","Anzahl der Punkte","x","y","x","y"]
[{"$nulls":3},8,"Polylinie",2,3,8,20,50]
[null,"Es wird eine Polylinie aus 2 Punkte gezeichnet, die von (3;8) bis (20;50) geht."]
[null,"Die Anzahl der Punkte muss korrekt eingetragen werden."]
["Beispiel Text",null,null,8,"Text",4,"Text","Y","X"]
[{"$nulls":3},12,"Text",11,"Hello World",80,40]
[null,"Es wird der Text \"Hello World\" an der Stelle (40;80) geschrieben."]
[null,"Der Basispunkt eines Textes ist oben links."]
[null,"Wichtig für Texte: Es sind nur ASCII-Zeichen erlaubt. Ä,Ö,Ü, ß sind erlaubt, griechische Buchstaben nicht."]
[null,"Für griechische Buchstaben muss man einen Font nehmen, der griechische Buchstaben hat. Z.B. Symbol."]
["Beispiel Kreis","Pfeil",null,18,"Pfeil","Pfeilgröße","xAnfang","yAnfang","xEnde","yEnde"]
[{"$nulls":3},18,"Pfeil",25,30,20,230,20]
[null,"Es wird ein horizontaler Pfeil gezeichnet, dessen Pfeilspitze 25 groß ist."]
[null,"Am einfachsten ist es, wenn man sich die Zeile von da oben kopiert und die richtigen Zahlen einträgt."]
[]
["WMF Malobjekte"]
[null,"geometrische Objekte haben eine Fläche und einen Umfang."]
[null,"Der Umfang wird mit einem Füller gezeichnet und die Fläche mit einem Pinsel ausgemalt."]
[null,"Für ein gelb gefülltes Rechteck braucht man also einen gelben Pinsel und einen schwarzen Füller."]
[null,"Für einen Text benötigt man einen Font, um Winkel und Schriftart anzugeben."]
["Farben:","Farben haben den Wert von 0 bis 255 im RGB Format."]
[null,"Rot und Grün werden in einer Zelle geschrieben. Die Zahl ist Rot + 256*Grün."]
[null,"rot",255,0]
[null,"gelb",65535,0]
[null,"grün",65280,0]
[null,"cyan",65280,255]
[null,"blau",0,255]
[null,"magenta",255,255]
[null,"schwarz",0,0]
[null,"weiß",65535,255]
[]
["WMF Malobjekte benutzen"]
[null,"Es reicht nicht, wenn man einen Pinsel und einen Füller hat. Man muss ihn erst in die Hand nehmen, um damit zu malen."]
[null,"Ein Objekt nimmt man in die Hand, indem man das Objekt wählt."]
[{"$nulls":3},4,"ObjektWählen","Objektnummer"]
[null,"Man kann nur Malobjekte wie Füller, Pinsel oder Font in die Hand nehmen."]
[null,"Malobjekte werden in einer versteckten Liste abgelegt."]
[null,"Das erste Malobjekt, das erstellt wird, bekommt die Nummer 0."]
[null,"Jedes weitere Objekt füllt den nächsten freien Platz."]
[null,"Erstellt man z.B. einen Font, Pinsel, einen weiteren Pinsel und dann einen Füller,"]
[null,"dann liegt der Font bei Nummer 0, die beiden Pinsel die Nummer auf 1 und 2 und der Füller liegt bei Nummer 3."]
[null,"In der WMF-Hand kann ein Füller, ein Pinsel und ein Font genommen werden."]
[null,"Wird ein neuer Pinsel in die Hand genommen, so wird der alte Pinsel bei Seite gelegt. Man kann ihn später wieder wählen."]
[]
["Beispiel zum Malobjekte nutzen"]
[null,"Es soll ein rot umrandeter gelber Kreis schwarz durchgestrichen werden."]
[null,"Bevor man den Kreis und die Linie zeichnet, braucht man erst die richtigen Hilfsmittel."]
[null,"Dazu erstellt man einen roten Füller. Dieser liegt auf Platz 0."]
[null,"Dann erstellt man einen schwarzen Füller. Dieser liegt auf Platz 1."]
[null,"Zuletzt erstellt man einen gelben Pinsel. Dieser liegt auf Platz 2."]
[null,"Jetzt soll der Kreis gezeichnet werden. Dazu braucht man den roten Füller und den gelben Pinsel."]
[{"$nulls":3},4,"ObjektWählen",0]
[{"$nulls":3},4,"ObjektWählen",2]
[null,"Der Kreis wird gemalt. Für die schwarze Linie braucht man den schwarzen Füller."]
[{"$nulls":3},4,"ObjektWählen",1]
[null,"Das Malobjekt 1 ist nun anstelle des Malobjektes 0 aktiv."]
[]
["andere Objekte"]
[null,"Andere  Objekte wirken ihren Effekt sofort auf alle nachfolgenden Objekte."]
[null,"Anders als Malobjekte müssen die anderen Objekte nicht ausgewählt werden."]
[]
["Zusätzliche Objekte"]
[null,"Zusätzliche Objekte erleichtern die Eingabe in Excel, indem sie gleich mehrere Objekte auf einmal zeichnen."]
[null,"Wird ein WMF eingelesen, dann erscheinen nicht zusätzlichen Objekte, sondern deren Einzelteile."]
[null,"Kreis",null,"Zeichnet eine kreisrunde Ellipse"]
[null,"Pfeil",null,"Zeichnet eine Linie mit Pfeilspitze (Dreieck)"]
[null,"Bogenpfeil",null,"Zeichnet einen Dreipunktbogen mit Pfeilspitze"]
[null,"Maßkette",null,"Zeichnet eine Maßkette. Ist die Maßkette nicht horizontal, dann wird für den Text ein gedrehter Font benötigt."]
[null,"BiMaßkette",null,"Zeichnet eine doppelte Maßkette. Enthalt 4 Linien, 2 Dreiecke, ein überschlagenes Viereck und 2 Texte."]
[null,"Polymaßkette",null,"Zeichnet eine Maßkette mit vielen Maßen"]
[null,"Diagramm",null,"Zeichnet ein Diagramm"]
[null,"Nichts",null,"Überspringt diese Zeile, ohne dass was gezeichnet wird"]
[null,"PolytextH",null,"Zeichnet mehrere Texte nebeneinander"]
[null,"PolytextV",null,"Zeichnet mehrere Texte untereinander"]
[null,"Kopieren",null,"Kopiert einige Objekte. Ein Zusatzobjekt besteht aus mehreren Objekten, sodass 6 Objekte kopiert werden müssen, um eine Maßkette zu kopieren."]
[null,"Pfeilviereck",null,"Zeichnet eine Serie an Pfeilen, die aus den beiden Objekten Polylinie und Polypolygon bestehen. Wird zum Zeichnen von Streckenlasten benötigt."]
[null,"Lagerteil",null,"Zeichnet ein Stück eines Lagersymbols"]
[null,"Lager; Gelenk",null,"Zeichnet ein Symbol für statische Systeme"]
[]
["Beispieldatei"]
["Dateiname","Kampf",null,null,52695,39622,0,0,0,12000,3300,1920,0,0]
[{"$nulls":3},28,"Font",360,0,0,0,400,0,0,0,0,"Times New Roman"]
[{"$nulls":3},5,"Textabdecken",1,0]
[{"$nulls":3},8,"Füller",0,16,0,0,0]
[{"$nulls":3},7,"Pinsel",0,49407,192,0]
[{"$nulls":3},7,"Pinsel",0,0,0,0]
[{"$nulls":3},4,"ObjektWählen",0]
[{"$nulls":3},4,"ObjektWählen",1]
[{"$nulls":3},22,"Text",31,"Kampfverlauf des roten Banditen",0,500]
[{"$nulls":3},22,"Text",32,"Kampfverlauf des blauen Banditen",0,6700]
[{"$nulls":4},"Diagramm",200,500,2750,5000,1000,"Lu",4,null,3,null,null,3,null,0,0,360]
[{"$nulls":3},7,"Pinsel",0,49344,255,0,null,"A  K=25200 al",5,null,1,null,null,2,null,0,70,70]
[{"$nulls":4},"Diagramm",200,6700,2750,10970,800,"Lu",4,null,5,null,null,3,null,0,0,170.8,170.8,341.6]
[null,"Und so funxioniert die Datei",{"$nulls":8},"A  K=19983,6 al",4,null,1,null,null,4,null,0,39,39,78,78]
[null,"Zuerst wird mit dem placeable Header gestartet. Schlüssel, Ansichtsfenster, Zoom und Dateiname werden eingegeben."]
[null,"Dann wird ein Font erstellt, der in der verstecken Malobjektliste auf dem Platz 0 landet."]
[null,"Danach wird das Textabdecken festgelegt. Die 1 bedeutet, dass Texte nicht abdecken."]
[null,"Es wird ein schwarzer 16 dicker Füller (Platz 1) definiert."]
[null,"Danach kommt ein hellroter Pinsel (Platz 2) und dann noch ein schwarzer Pinsel (Platz 3)."]
[null,"Nun werden Objekt 0 und 1 in die Hand genommen. Dies sind der Font, der schwarze Füller."]
[null,"Dann werden 2 Texte ganz oben hingeschrieben."]
[null,"Nun wird ein Diagramm gezeichnet. Die Werte wurden korrekt eingetragen, sodass das Makro ein Diagramm erstellt."]
[null,"Ein hellblauer Pinsel wird erstellt (Platz 4)."]
[null,"Der schwarze Pinsel wird in die Hand genommen, weil im Diagramm der Pinsel gewexelt wurde."]
[null,"Ein weiteres Diagramm wird gezeichnet. Da wird dann der hellblaue Pinsel benutzt."]
[null,"Mit Strg+L wird aus den Daten in Excel diese Grafik erzeugt."]
[]
["Tastenkürzel"]
[null,"Strg+j ließt ein WMF ein"]
[null,"Strg+L erzeugt ein WMF"]
[]
["großes Anwendungsbeispiel"]
[null,"Dies ist ein Beispiel aus meiner Masterarbeit, wo die Angaben zu einer Dachgeometrie grafisch zusammengefasst werden."]
[null,"Zur Auswahl steht eine Schaar an immer größer werdenden Dächern, an den eine Parameterstudie durchgeführt wird."]
[null,"Eines dieser Dächer kann rausgepickt werden, um sich die Geometrie in Excel an zu zeigen."]
["Zeile",192]
["Spalte",1,1,2,3,4,5,6,7,8,"Schritt"]
["b Abstand der Windböcke",8,8,8.3,8.600000000000001,8.900000000000002,9.200000000000003,9.500000000000004,9.800000000000004,10.100000000000005,0.3]
["bk restlicher Abstand zum Stirnholz",1,1,1,1,1,1,1,1,1]
["hu Kehlbalkenhöhe",2.75,2.75,2.75,2.75,2.75,2.75,2.75,2.75,2.75]
["h00 Stirnholzhöhe",0.15,0.15,0.15,0.15,0.15,0.15,0.15,0.15,0.15]
["α [°] Dachwinkel",40,40,40,40,40,40,40,40,40]
["g",0.8,0.8,0.8,0.8,0.8,0.8,0.8,0.8,0.8,0]
["qp [kN/m²]",0.65,0.65,0.65,0.65,0.65,0.65,0.65,0.65,0.65]
["sk [kN/m²] 0,85 für Schnee2",0.85,0.85,0.85,0.85,0.85,0.85,0.85,0.85,0.85]
["Lw [m]",3,3,3.1,3.2,3.3000000000000003,3.4000000000000004,3.5000000000000004,3.6000000000000005,3.7000000000000006,0.1]
["wd= γW*(0,5+0,8)*qp",1.2675,1.2675,1.2675,1.2675,1.2675,1.2675,1.2675,1.2675,1.2675]
["gd= γg*g",1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08]
["sd= γs*ψ0*sk*μ1",0.9519999999999998,0.9519999999999998,0.9519999999999998,0.9519999999999998,0.9519999999999998,0.9519999999999998,0.9519999999999998,0.9519999999999998,0.9519999999999998]
["L Dachlänge",7.06,7.06,7.56,8.059999999999999,8.559999999999999,9.059999999999999,9.559999999999999,10.059999999999999,10.559999999999999,0.5]
["T",60,60,60,60,60,60,60,60,60]
["SpB Sparrenbreite",0.06,0.06,0.06,0.06,0.06,0.06,0.06,0.06,0.06]
["SpH Sparrenhöhe",0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2]
["SpSa SparrenSollAbstand",0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95]
["Sp Sparrenanzahl",8,8,9,9,10,10,11,12,12]
["Spa SparrenIstAbstand",1,1,0.9375,0.9999999999999999,0.9444444444444442,0.9999999999999998,0.9499999999999998,0.909090909090909,0.9545454545454544]
["m Dachneigung",0.8390996311772799,0.8390996311772799,0.8390996311772799,0.8390996311772799,0.8390996311772799,0.8390996311772799,0.8390996311772799,0.8390996311772799,0.8390996311772799]
["h Dachhöhe",4.3454981558864,4.3454981558864,4.471363100562992,4.597228045239585,4.723092989916177,4.848957934592769,4.974822879269362,5.100687823945954,5.226552768622546]
["ho Höhe über dem Kehlbalken",1.5954981558863999,1.5954981558863999,1.721363100562992,1.8472280452395848,1.9730929899161769,2.098957934592769,2.224822879269362,2.350687823945954,2.476552768622546]
["hA Windbockhöhe",0.98909963117728,0.98909963117728,0.98909963117728,0.98909963117728,0.98909963117728,0.98909963117728,0.98909963117728,0.98909963117728,0.98909963117728]
["bo Breite der Kehlbalkenebene",3.8028813185101082,3.8028813185101082,4.102881318510108,4.4028813185101106,4.70288131851011,5.002881318510111,5.302881318510113,5.602881318510113,5.902881318510113]
["b1 Breite der unteren Windlasteinzugsfläche",7.080203698144186,7.080203698144186,7.380203698144186,7.680203698144188,7.980203698144188,8.280203698144188,8.58020369814419,8.880203698144191,9.18020369814419]
["bd Breite des Dachdreieckes",10.357526077778264,10.357526077778264,10.657526077778265,10.957526077778265,11.257526077778266,11.557526077778267,11.85752607777827,12.157526077778268,12.457526077778269]
["bw Windrispenlänge in b",2.098559340744946,2.098559340744946,2.0985593407449463,2.0985593407449454,2.098559340744946,2.098559340744946,2.0985593407449454,2.0985593407449454,2.098559340744946]
["hw Windrispenlänge in h",1.7609003688227198,1.7609003688227198,1.7609003688227203,1.7609003688227194,1.7609003688227198,1.7609003688227198,1.7609003688227194,1.7609003688227194,1.7609003688227198]
["bA",0.94,0.94,0.8775000000000001,0.94,0.884,0.9399999999999997,0.8899999999999999,0.849,0.894]
[]
["Dateiname","Abmessungen",null,null,52695,39622,0,0,0,15648.453798611416,14588.745389716,2540,0,0,23328]
[null,null,0,28,"Font",480,0,0,0,400,0,0,0,0,"Times New Roman"]
[null,null,1,28,"Font",480,0,900,900,400,0,0,0,0,"Times New Roman"]
[null,null,2,28,"Font",480,0,0,0,400,0,0,0,0,"Symbol"]
[null,null,3,7,"Pinsel",0,-1,255,0]
[null,null,4,7,"Pinsel",0,0,0,0]
[null,null,5,7,"Pinsel",1,0,0,0]
[null,null,6,8,"Füller",0,25,0,0,0]
[null,null,7,8,"Füller",0,50,0,0,0]
[null,null,8,8,"Füller",2,25,0,0,0]
[null,null,9,8,"Füller",0,75,0,57568,224]
[null,null,10,8,"Füller",0,25,0,57568,224]
[null,null,11,7,"Pinsel",0,57568,224,0]
[null,null,12,28,"Font",480,0,0,0,400,0,512,519,512,"Wingdings"]
["Faktor",1250,null,4,"ObjektWählen",0]
["BasisX",25,null,4,"ObjektWählen",5]
["BasisY",25,null,4,"ObjektWählen",8]
[{"$nulls":3},5,"Textabdecken",1,0]
[{"$nulls":3},10,"Polygon",3,25,5456.872694858,6498.453798611415,25,12971.90759722283,5456.872694858]
[{"$nulls":4},"Nichts",null,"Links","Unten","Mitte","Oben","Rechts","Unten"]
[null,null,"b1",8,"Polylinie",2,2073.326487271298,3738.1226948579997,10923.58110995153,3738.1226948579997]
[{"$nulls":3},8,"Polylinie",2,5310.053386577006,1022.186347429,7686.8542106458235,1022.186347429]
[{"$nulls":3},8,"Polylinie",2,6498.453798611415,1022.186347429,6498.453798611415,3738.1226948579997]
[{"$nulls":3},4,"ObjektWählen",10]
[{"$nulls":3},4,"ObjektWählen",11]
[{"$nulls":3},242,"Pfeilviereck",200,25,4356.872694858,25,5156.872694858,6498.453798611415,-275,6498.453798611415,-1075]
[{"$nulls":3},242,"Pfeilviereck",150,6598.453798611415,225,6598.453798611415,1025,12971.90759722283,1025,12971.90759722283,225]
[{"$nulls":3},143,"Pfeilviereck",150,100,11869.995389716,900,11869.995389716,900,8156.872694858,100,8156.872694858]
[{"$nulls":3},4,"ObjektWählen",9]
[{"$nulls":3},4,"ObjektWählen",5]
[{"$nulls":3},12,"Polygon",4,25,4356.872694858,25,5156.872694858,6498.453798611415,-275,6498.453798611415,-1075]
[{"$nulls":3},12,"Polygon",4,6598.453798611415,225,6598.453798611415,1025,12971.90759722283,1025,12971.90759722283,225]
[{"$nulls":3},12,"Polygon",4,100,11869.995389716,900,11869.995389716,900,8156.872694858,100,8156.872694858]
[{"$nulls":3},10,"Text",8,"gd= 1,08",3856.8726948579997,75]
[{"$nulls":3},11,"Text",9,"sd= 0,952",425,7598.453798611415]
[{"$nulls":3},20,"Text",27,"Giebelansicht  Maßstab 1:80",10,10]
[{"$nulls":3},5,"Textfarbe",41120,160]
[{"$nulls":3},7,"Text",2,"Ao",75,6298.453798611415]
[{"$nulls":3},7,"Text",2,"Au",2039.3726948579997,6698.453798611415]
[{"$nulls":3},7,"Text",2,"Au",2039.3726948579997,5858.453798611415]
[{"$nulls":3},5,"Textfarbe",0,0]
[{"$nulls":3},4,"ObjektWählen",7]
[{"$nulls":3},14,"Polygon",5,248.45379861141464,5456.872694858,248.45379861141464,5269.372694858,6498.453798611415,25,12748.453798611416,5269.372694858,12748.453798611416,5456.872694858]
[null,null,"bo",8,"Polylinie",2,4121.652974542597,2019.3726948579997,8875.254622680233,2019.3726948579997]
[{"$nulls":3},4,"ObjektWählen",3]
[{"$nulls":3},4,"ObjektWählen",6]
[{"$nulls":3},7,"Kreis",70,1498.4537986114146,4220.4981558864]
[{"$nulls":3},7,"Kreis",70,4121.652974542597,2019.3726948579997]
[{"$nulls":3},7,"Kreis",70,8875.254622680233,2019.3726948579997]
[{"$nulls":3},7,"Kreis",70,11498.453798611416,4220.4981558864]
[{"$nulls":3},8,"Polylinie",2,8875.254622680233,2019.3726948579997,9875.254622680233,2019.3726948579997]
[null,null,750,11,"Arc",2019.3726948579997,9875.254622680233,4220.4981558864,11498.453798611416,1269.3726948579997,8125.254622680233,2769.3726948579997,9625.254622680233]
[{"$nulls":3},4,"ObjektWählen",4]
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["BasisX",1200,null,8,"Polylinie",2,2487.5,13588.745389716,2487.5,8156.872694858]
["BasisY",8156.872694858,null,null,"Kopieren",1,1250,0,5]
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[{"$nulls":3},4,"ObjektWählen",7,null,"unten","rechts"]
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[{"$nulls":3},8,"Polylinie",2,1847.3453798611415,12294.054629993716,10672.34537986114,12294.054629993716]
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[{"$nulls":3},4,"ObjektWählen",6]
[{"$nulls":3},7,"Rechteck",13588.745389716,5025,12352.370850744399,6200]
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["In jedem beliebigen Arbeitsblatt können  Durchlaufträger gerechnet werden, denn die Makros befinden sich nicht auf einem Arbeitsblatt. Dieses Werbeblatt kann daher problemlos gelöscht werden."]
["WMFzerleger ist Teil des WMF-Balkens und läuft daher auch in jedem beliebigen Arbeitsblatt. Das Blatt WMFzerleger kann daher problemlos gelöscht werden."]
[]
["Formelumwandler"]
["Formeln erstellen und ausrechnen in Word"]
[]
["Echt mühselig, wenn man eine ganze Reihe an Formeln aufschreiben muss."]
["Mit dem Formeleditor geht das zwar, aber das Rumgeklicke nerft spätestens nach der vierten Formel!"]
["Schwupps wird ab der fünften Formel nur noch hingeschrieben."]
["Um das Ergebnis zu haben muss die ganze Formel nochmal korrekt in den Taschenrechner abgetippt werden."]
["Der Zeitaufwand lenkt vom Inhalt der Formeln ab."]
[]
["Für dieses Zeitproblem gibt es den Formelumwandler"]
["Man schreibt in Word hintereinander weg und wandelt jede Formel mit dem Makro um."]
["Das Makro wird mit einem Tastenkürzel ausgeführt."]
["Um das rechte Ergebnis zu haben, muss man eintippen:"]
[]
["Formeln"]
["U="," (1+D-L)/(2*D)*(1+D+L)/2 + (1-D)/(2*D)*(2*L+1+D)/2 + (L*D+3*D-1+0,5*L)/(2*D)*(2*D-2+L)/(2*D) -L Umwandeln!"]
["N="," ((K-geK)/(A*L*(1-f)))^0,5 Umwandeln!"]
["f="," (Lr+0,5*Ld)/(Lr+Ld) Umwandeln!"]
["K/(A*N^2)="," (L*(f-0,5-1/(2*N)))/(0,5-1/(2*N)) +( (1/(2*N)-0,5)*(L*(f-1)+U))/(1/(2*N)-0,5) Umwandeln!"]
["fu=","  (L*f+U*(0,5+1/(2*N)))/(L+U) Umwandeln!"]
["gLd="," (geA*(c*N-0,5*c))/(0,5+geA*m*c-N) Umwandeln!"]
["X2="," 0,5*((MaxS-L)/(MaxS-2))^2 Umwandeln!"]
["K/A="," 0,5*gLd+geA*m*c*gLd-geA^2*m*c^2*ln(gLd/geA+c)+geA^2*m*c^2*ln(c)+(gL-gLd)*N Umwandeln!"]
[null," 0,5*2521,1+6*0,17559*30*2521,1-6^2*0,17559*30^2*ln(2521,1/6+30)+6^2*0,17559*30^2*ln(30)+(30*24-2521,1)*30 Umwandeln!"]
[]
["Berechnen"]
["D="," (90-70)/70 Ausrechnen!"]
["gL neu ="," ((2-2*0,828)*20*2*(66240-64640)/2,5)^0,5 Ausrechnen! L"]
["Weffu="," I_eff/z  Umwandeln!= I_eff/(h_seff + b_f1/2) Umwandeln!"]
["Weffu ="," 0,0425/(1,3229 + 0,017/2) Ausrechnen! m³"]
["M_Ed/M_Rd="," 7541,325/6312,3 Ausrechnen!"]
["Vb,w,Rd="," χ_w*f_yw*h_w*t/(γ_M0*3^0,5) Umwandeln!"]
["Vb,w,Rd="," 0,363*235*2,9*9/(1*3^0,5) Ausrechnen! kN"]
["σe="," 190000*(t/b)^2 Umwandeln!"]
["σe="," 19000*(0,009/2,9)^2 Ausrechnen! N/mm²"]
["(σ_x,Ed*γ_M1/(ρ_x*f_y))^2 + (σ_z,Ed*γ_M1/(ρ_z*f_y))^2 - (σ_x,Ed*γ_M1/(ρ_x*f_y)) * (σ_z,Ed*γ_M1/(ρ_z*f_y)) + 3* (τ_Ed*γ_M1/(χ_w*f_y))^2 Umwandeln!"]
["(222*1/(0,69*235))^2 + (300*1/(0,569*235))^2 - (222*1/(0,69*235)) * (300*1/(0,569*235)) + 3* (43,8*1/(0,363*235))^2 Ausrechnen!"]
{"$rows_empty":13}
["PowerWMFeinfügen"]
["AutoCAD in Word einfügen - scharfe Grafiken durch starke Datenkompression"]
[]
["PowerWMFeinfügen wird im Bereich der professionellen Dokumentation eingesetzt."]
["Es gibt viele Dokumente (Diplom-, Bachelor-, Master- und Doktorarbeiten, Skripte"]
["sowie Lehrbüchern und häufig gelesene Dokumente), dessen äußeres Erscheinungsbild wichtig ist."]
["Vorlagen und häufig verwendete Dokumentteile benötigen ebenfalls professionelle Grafiken."]
["Insbesondere Firmenlogos müssen scharf und ressourceneffizient sein."]
["Zu einem schönen Dokument gehören auch Vektorgrafiken."]
["Vektorgrafiken haben gegenüber Bitmapdateiformate (PNG, JPG, BMP, TIF, GIF) diese Vorteile:"]
[null,"beliebig Zoomen: keine Pixel an der Tafel, im PDF oder auf dem Papier"]
[null,"gute Lesbarkeit der Texte, auch wenn sie viel zu klein sind"]
[null,"scrollen über das Dokument, ohne Sand im Mausrad"]
[null,"besseres Verständnis und Durchsuchen nach Texte"]
[null,"winzige Dateigröße - etwa 99% weniger Volumen als JPG"]
[null,"scharfe Linien, auch wenn sie diagonal sind"]
[null,"gestochen scharfe Drucke - egal ob 4 Seiten pro Blatt oder starke Vergrößerung"]
[null,"keine Qualitätsverlust beim Speicher - Schließen - Öffnen"]
["Microsoft Office unterstützt nur die Vektorformate WMF und EMF."]
["Da AutoCAD WMF ausgibt, wird zum Einfügen ein WMFeinfüger benötigt z.B. PowerWMFeinfügen."]
["Snippingtools gehen schnell schnell, können aber niemals Vektorqualität liefern und täuschen Qualität durch hohe Auflösung vor."]
[]
[]
["Beispiel: Firmenlogo"]
[]
["Standardvariante: JPG-Datei",null,null,"Alternative: PNG-Datei",null,null,"professionelle Lösung: WMF-Datei"]
{"$rows_empty":8}
["Bei Bitmapformate lässt sich die Qualität erhöhen, indem die Auflösung erhöht wird. Vektorformate haben keine Auflösung."]
["Egal wie weit man zoomt, bei einer Bitmap erscheinen irgendwann die Pixel."]
["Das vektorisiertes Firmenlogo braucht nur 0,00117MB und ist schärfer als ein 1MB JPG."]
["Das Firmenlogo kommt in fast allen Dokumenten vor und muss daher scharf und ressourceneffizient sein."]

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["Eingabewerte"]
["Deckendicke h",25,"cm",null,"Übersicht der Nachweise"]
["Frischbetondruck q",26,"kN/m²",null,"Auslastung der Schalung",{"$nulls":3},{"v":0.5546133625377562,"d":"55%"}]
["Schalungsdicke h_s",2.1,"cm",null,"Durchbiegung der Schalung im Feld",{"$nulls":3},{"v":1.1217001450678628,"d":"112%"}]
["Querträger","PERI Multiflex H20",null,null,"Auslastung des Querträgers",{"$nulls":3},{"v":0.7615417271152807,"d":"76%"}]
["Jochträger","Hünnebeck Topfflex",null,null,"Durchbiegung des Querträgers im Feld",{"$nulls":3},{"v":0.04923397208331421,"d":"5%"}]
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[{"$nulls":4},"Durchbiegung des Jochträgers im Feld",{"$nulls":3},{"v":0.11960852101311714,"d":"12%"}]
["Belastung",{"$nulls":3},"Auslastung der Stütze",{"$nulls":3},{"v":0.03838968413810961,"d":"4%"}]
["Schalung g_k",0.3,"kN/m²"]
["Stahlbetondecke q_k1",6.5,"kN/m²"]
["Ersatzlast Arbeitsbetrieb q_k2",0.75,"kN/m²",null,"Grundriss Schalung",{"$nulls":7},"Grundriss Stützen"]
["Ersatzlast Betonieren q_k4",0.75,"kN/m²"]
["Gesamtbetonlast q_k",8,"kN/m²"]
[]
["Schalung"]
["Schaltafellänge L_s",5,"m"]
["Achsabstand der Quersträger e_Q",0.65,"m"]
["Mindestkragarm k_Q",0,"m"]
["Abnutzungsgrad",{"v":1,"d":"100%"},"100%=neu"]
["Anzahl der Querträger  Q",8,"max 10"]
["Kragarm K_Q",0.2250000000000001,"m"]
["Schalungsquerschnitt","2,1x100"]
["zulässige Felddurchbiegung",0.0013,"m"]
[]
[]
["Querträger"]
["Querträgerlänge L_Q",8,"m"]
["Abstand der Jochträger e_J",1.2,"m"]
["Mindestkragarm k_J",0.3,"m"]
["Abnutzungsgrad",{"v":0.9,"d":"90%"},"100%=neu"]
["Anzahl der Jochträger  J",7,"max 10"]
["Kragarm K_J",0.40000000000000036,"m"]
["Querträgerquerschnitt Q_Q","I20;8;0;4;4;0"]
["MRd_Q",7.9044923076923075,"kNm"]
["VRD_Q",8.861538461538462,"kN"]
["zulässige Felddurchbiegung",0.004,"m"]
[]
[]
["Jochträger"]
["Jochlänge L_S",6,"m"]
["Abstand der Stützen e_S",0.8,"m"]
["Mindestkragarm k_S",0.3,"m"]
["Abnutzungsgrad",{"v":1,"d":"100%"},"100%=neu"]
["Anzahl der Stützen S",7,"max 10"]
["Kragarm K_S",0.5999999999999996,"m"]
["Lastversatz (L_S-L_s)/2",0.5,"m"]
["Jochträgerquerschnitt Q_J","I20;8;0;4;4;0"]
["MRD_J",7.9044923076923075,"kNm"]
["VRD_J",8.861538461538462,"kN"]
["zulässige Felddurchbiegung",0.002666666666666667,"m"]
["Stützentragfähigkeit",360,"kN"]
{"$rows_empty":215}
["Berechnung",{"$nulls":8},"Stützenlasten",{"$nulls":11},"Stütze vorhanden"]
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["Schalung",null,"g krag","g max","q krag","q max","1,35*g+1,5*q","1,35*g+1,5*q",null,"S1",0.25364908074243075,0.31490175567898193,0.3005829485508116,0.30535588426011406,0.3005829485508116,0.3149017556788496,0.2536490807422984,0,0,0,null,1,1,1,1,1,1,1,1,0,0,0]
["Schalung",0.5546133625377562,-6.6885458011286796e-06,4.5199140152518116e-05,-0.000137837110790905,0.0009314608995882148,-0.0002157852030178812,0.0014582101885882216,null,"S2",0.4127594833945939,0.5317431926600984,0.5039288190376763,0.5132002769170567,0.5039288190376763,0.5317431926324716,0.4127594834075956,0,0,0,null,2,1,1,1,1,1,1,1,0,0,0]
["Nachweis",0.5546133625377562,{"$nulls":4},-0.23976133668653457,1.1217001450678628,null,"S3",0.3895714092587054,0.49806569413415047,0.472703393773608,0.48115749389382434,0.472703393773608,0.49806569413420704,0.38957140925866474,0,0,0,null,3,1,1,1,1,1,1,1,0,0,0]
[{"$nulls":9},"S4",0.3895595916655965,0.4983814843442437,0.47294260034143243,0.4814222283423472,0.47294260034143243,0.49838148434421264,0.38955959166561915,0,0,0,null,4,1,1,1,1,1,1,1,0,0,0]
[null,"Auslastung","Durchbiegung","Durchbiegung","Durchbiegung","Durchbiegung","Kragram","Feld",null,"S5",0.38957140925975625,0.4980656941353582,0.4727033937748585,0.48115749389510504,0.4727033937748585,0.49806569413547863,0.3895714092597568,0,0,0,null,5,1,1,1,1,1,1,1,0,0,0]
["Querträger",null,"g krag","g max","q krag","q max","1,35*g+1,5*q","1,35*g+1,5*q",null,"S6",0.4127594834016637,0.5317431926366761,0.5039288190362167,0.513200276896047,0.5039288190362167,0.5317431926373235,0.4127594833866343,0,0,0,null,6,1,1,1,1,1,1,1,0,0,0]
["QT1",0.6004468020648804,-1.6962343687501812e-06,5.855996048137868e-06,-2.8458076255640553e-05,9.824726179403389e-05,-4.4977030781273573e-05,0.00015527648735603694,null,"S7",0.25364908074312115,0.314901755679868,0.3005829485516609,0.30535588426110016,0.3005829485516609,0.31490175567966083,0.2536490807431355,0,0,0,null,7,1,1,1,1,1,1,1,0,0,0]
["QT2",0.7615417271152807,-2.0702658431508e-06,7.147283900996948e-06,-3.6166092214437386e-05,0.00012485803671127398,-5.704399720990966e-05,0.00019693588833325686,null,"S0",0,0,0,0,0,0,0,0,0,0,null,8,0,0,0,0,0,0,0,0,0,0]
["QT3",0.726936825182464,-1.9899199074400956e-06,6.8699015470758305e-06,-3.4510328469755186e-05,0.00011914175945375488,-5.445188457967691e-05,0.0001879870062691847,null,"S0",0,0,0,0,0,0,0,0,0,0,null,9,0,0,0,0,0,0,0,0,0,0]
["QT4",0.7355880506656688,-2.0100063913677786e-06,6.939247135556116e-06,-3.492426940592572e-05,0.00012057082876813464,-5.5099912737235085e-05,0.00019022422678520272,null,"S0",0,0,0,0,0,0,0,0,0,0,null,10,0,0,0,0,0,0,0,0,0,0]
["QT5",0.7355880506656688,-2.0100063913677786e-06,6.939247135556116e-06,-3.492426940592572e-05,0.00012057082876813464,-5.5099912737235085e-05,0.00019022422678520272]
["QT6",0.726936825182464,-1.9899199074400956e-06,6.8699015470758305e-06,-3.4510328469755186e-05,0.00011914175945375488,-5.445188457967691e-05,0.0001879870062691847,null,"Stützenlasten"]
["QT7",0.7615417271152807,-2.0702658431508e-06,7.147283900996948e-06,-3.6166092214437386e-05,0.00012485803671127398,-5.704399720990966e-05,0.00019693588833325686,null,"Nutzlast","JT1","JT2","JT3","JT4","JT5","JT6","JT7","JT0","JT0","JT0"]
["QT8",0.6004468020648817,-1.6962343687501812e-06,5.855996048137868e-06,-2.8458076255640627e-05,9.824726179403413e-05,-4.497703078127369e-05,0.00015527648735603732,null,"S1",3.3277399534825634,4.356800099740838,4.116240585031164,4.196427089934787,4.116240585030823,4.356800099740838,3.327739953483416,0,0,0]
["QT0",0,0,0,0,0,0,0,null,"S2",6.67179102604174,8.734955319752217,8.252657173042596,8.413423222021876,8.252657173046117,8.734955319752217,6.671791026280237,0,0,0]
["QT0",0,0,0,0,0,0,0,null,"S3",6.098170688106492,7.983950378806145,7.543118762797968,7.690062634801331,7.543118762796301,7.983950378806147,6.098170688107285,0,0,0]
["Max",0.7615417271152807,0,7.147283900996948e-06,0,0.00012485803671127398,0,0.00019693588833325686,null,"S4",6.112288972002533,8.002434557722186,7.5605823428786465,7.707866414493266,7.560582342878726,8.002434557722184,6.1122889720026405,0,0,0]
["Nachweis",0.7615417271152807,{"$nulls":4},0,0.04923397208331421,null,"S5",6.098170688123092,7.9839503788277835,7.543118762821365,7.690062634823639,7.543118762819714,7.983950378829382,6.098170688123902,0,0,0]
[{"$nulls":9},"S6",6.671791026318326,8.734955319324264,8.252657172811055,8.413423221917496,8.252657172818335,8.734955319446602,6.67179102643872,0,0,0]
[null,"Auslastung","Durchbiegung","Durchbiegung","Durchbiegung","Durchbiegung","Kragram","Feld",null,"S7",3.327739953496632,4.356800099759653,4.11624058504907,4.196427089949509,4.1162405850481605,4.356800099758232,3.327739953495751,0,0,0]
["Jochträger",null,"g krag","g max","q krag","q max","1,35*g+1,5*q","1,35*g+1,5*q",null,"S0",0,0,0,0,0,0,0,0,0,0]
["JT1",1.1700095195105764,-2.225270109454111e-06,9.754392071734857e-06,-0.00014600103187245388,0.0001538251766034368,-0.00022200566245644387,0.00024390619420199726,null,"S0",0,0,0,0,0,0,0,0,0,0]
["JT2",1.5312813913837948,-4.844032103796915e-06,1.2493073311406855e-05,-0.0001911499453430515,0.00020139360470971984,-0.0002932643613547031,0.000318956056034979,null,"S0",0,0,0,0,0,0,0,0,0,0]
["JT3",1.446828226488546,-4.231853975249247e-06,1.1852862112522492e-05,-0.00018059565388239257,0.00019027371242513416,-0.00027660648369017536,0.0003014119324896066]
["JT4",1.4749792814688205,-4.435913351431797e-06,1.2066265845483945e-05,-0.00018411375103594553,0.00019398034318666258,-0.0002821591095783512,0.00030725997367139725,null,"Stützenlasten",{"$nulls":11},"Polytext"]
["JT5",1.446828226489209,-4.231853975249247e-06,1.1852862112522492e-05,-0.00018059565388239298,0.00019027371242513427,-0.00027660648369017595,0.0003014119324896068,null,"Gesamt","JT1","JT2","JT3","JT4","JT5","JT6","JT7","JT0","JT0","JT0",null,null,1,2,3,4,5,6,7,8,9,10]
["JT6",1.5312813913791186,-4.844032103796929e-06,1.2493073311406852e-05,-0.0001911499453430515,0.00020139360470971987,-0.0002932643613547031,0.0003189560560349791,null,"S1",5.3340361892261265,6.960317519777882,6.580147858090342,6.706871078653334,6.5801478580898305,6.960317519777703,5.334036189227227,0,0,0,null,1,"5,33kN_","6,96kN_","6,58kN_","6,71kN_","6,58kN_","6,96kN_","5,33kN_","","",""]
["JT7",1.1700095195306761,-2.225270109454171e-06,9.754392071734864e-06,-0.00014600103187245402,0.00015382517660343648,-0.00022200566245644417,0.00024390619420199677,null,"S2",10.564911841645312,13.820286289719458,13.059289665264757,13.312955206870841,13.05928966527004,13.820286289682162,10.56491184202061,0,0,0,null,2,"10,56kN_","13,82kN_","13,06kN_","13,31kN_","13,06kN_","13,82kN_","10,56kN_","","",""]
["JT0",0,0,0,0,0,0,0,null,"S3",9.67317743465899,12.64831425529032,11.952827725791323,12.18465656895866,11.952827725788822,12.6483142552904,9.673177434660124,0,0,0,null,3,"9,67kN_","12,65kN_","11,95kN_","12,18kN_","11,95kN_","12,65kN_","9,67kN_","","",""]
["JT0",0,0,0,0,0,0,0,null,"S4",9.694338906752355,12.676466840448008,11.979346024778904,12.211719630002067,11.979346024779025,12.676466840447963,9.694338906752547,0,0,0,null,4,"9,69kN_","12,67kN_","11,98kN_","12,21kN_","11,98kN_","12,67kN_","9,69kN_","","",""]
["JT0",0,0,0,0,0,0,0,null,"S5",9.67317743468531,12.648314255324408,11.952827725828106,12.18465656899385,11.95282772582563,12.64831425532697,9.673177434686526,0,0,0,null,5,"9,67kN_","12,65kN_","11,95kN_","12,18kN_","11,95kN_","12,65kN_","9,67kN_","","",""]
["Max",1.5312813913837948,0,1.2493073311406855e-05,0,0.00020139360470971987,0,0.0003189560560349791,null,"S6",10.564911842069735,13.820286289045908,13.059289664915475,13.312955206685906,13.059289664926395,13.820286289230289,10.564911842230037,0,0,0,null,6,"10,56kN_","13,82kN_","13,06kN_","13,31kN_","13,06kN_","13,82kN_","10,56kN_","","",""]
["Nachweis",1.5312813913837948,{"$nulls":4},0,0.11960852101311714,null,"S7",5.334036189248161,6.960317519807301,6.580147858118347,6.706871078676749,6.580147858116983,6.96031751980489,5.334036189246859,0,0,0,null,7,"5,33kN","6,96kN","6,58kN","6,71kN","6,58kN","6,96kN","5,33kN","","",""]
[{"$nulls":9},"S0",0,0,0,0,0,0,0,0,0,0,null,8,"","","","","","","","","",""]
["zulässige SchalKragdurchbiegung",0.0009000000000000004,"m",null,"Durchbiegung der Schalung am Kragarm",{"$nulls":3},{"v":-0.23976133668653457,"d":"-24%"},"S0",0,0,0,0,0,0,0,0,0,0,null,9,"","","","","","","","","",""]
["zulässige QuerKragdurchbiegung",0.0013333333333333346,"m",null,"Durchbiegung des Querträgers am Kragarm",{"$nulls":3},{"v":0,"d":"0%"},"S0",0,0,0,0,0,0,0,0,0,0,null,10,"","","","","","","","","",""]
["zulässige JochKragdurchbiegung",0.0019999999999999987,"m",null,"Durchbiegung des Jochträgers am Kragarm",{"$nulls":3},{"v":0,"d":"0%"},{"$nulls":12},"Poly","5,33kN_10,56kN_9,67kN_9,69kN_9,67kN_10,56kN_5,33kN","6,96kN_13,82kN_12,65kN_12,67kN_12,65kN_13,82kN_6,96kN","6,58kN_13,06kN_11,95kN_11,98kN_11,95kN_13,06kN_6,58kN","6,71kN_13,31kN_12,18kN_12,21kN_12,18kN_13,31kN_6,71kN","6,58kN_13,06kN_11,95kN_11,98kN_11,95kN_13,06kN_6,58kN","6,96kN_13,82kN_12,65kN_12,67kN_12,65kN_13,82kN_6,96kN","5,33kN_10,56kN_9,67kN_9,69kN_9,67kN_10,56kN_5,33kN","","",""]
[]
[]
["Koordinaten der Querträger","Querträgernummer","x","auf JQT","Koordinaten der Jochträger","Jochträgernummer","x",null,"Koordinaten der Stützen","Stützennummer","x"]
["QT1",1,0.2250000000000001,0.7250000000000001,"JT1",1,0.40000000000000036,null,"S1",1,0.5999999999999996]
["QT2",2,0.8750000000000001,1.375,"JT2",2,1.6000000000000003,null,"S2",2,1.3999999999999997]
["QT3",3,1.5250000000000001,2.0250000000000004,"JT3",3,2.8000000000000003,null,"S3",3,2.1999999999999997]
["QT4",4,2.1750000000000003,2.6750000000000003,"JT4",4,4,null,"S4",4,3]
["QT5",5,2.825,3.325,"JT5",5,5.2,null,"S5",5,3.8]
["QT6",6,3.475,3.975,"JT6",6,6.4,null,"S6",6,4.6]
["QT7",7,4.125,4.625,"JT7",7,7.6000000000000005,null,"S7",7,5.3999999999999995]
["QT8",8,4.775,5.275,"JT0",0,0,null,"S0",0,0]
["QT0",0,0,0,"JT0",0,0,null,"S0",0,0]
["QT0",0,0,0,"JT0",0,0,null,"S0",0,0]
[]
[]
["Datei","Schalung",{"$nulls":3},"0112220"]
["Balken","2,1x100","C24",null,0,5]
["Streckenlast","Schalung","g_k=0,3",null,0,5,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren","q_k=8",null,0,5,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","QT1",null,null,0.2250000000000001,{"$nulls":3},0.20601832881906826,0,4.245612134344522,0,0.27812474390574216,0,6.646542945422524,0]
["Lager","QT2",null,null,0.8750000000000001,{"$nulls":3},0.2618194501625135,0,5.395557963163595,0,0.35345625771939326,0,8.446793202464786,0]
["Lager","QT3",null,null,1.5250000000000001,{"$nulls":3},0.2498327762730227,0,5.148537378114842,0,0.33727424796858063,0,8.060080315140844,0]
["Lager","QT4",null,null,2.1750000000000003,{"$nulls":3},0.2528294447453956,0,5.2102925243770315,0,0.3413197504062841,0,8.15675853697183,0]
["Lager","QT5",null,null,2.825,{"$nulls":3},0.25282944474539554,0,5.210292524377033,0,0.341319750406284,0,8.156758536971834,0]
["Lager","QT6",null,null,3.475,{"$nulls":3},0.24983277627302264,0,5.148537378114839,0,0.3372742479685806,0,8.060080315140839,0]
["Lager","QT7",null,null,4.125,{"$nulls":3},0.26181945016251373,0,5.395557963163601,0,0.35345625771939354,0,8.446793202464795,0]
["Lager","QT8",null,null,4.775,{"$nulls":3},0.2060183288190683,0,4.24561213434453,0,0.27812474390574227,0,6.646542945422537,0]
["Nichts","QT0",null,null,0,{"$nulls":3},0.19228752775575025,0,3.9626486915146684,0,0.25958816247026284,0,6.203561199742265,0]
["Nichts","QT0",null,null,0]
[{"$nulls":8},0,0.061875,0.22499999999999998,0.53375,0.875,0.89125,1.2,1.525,1.8499999999999999,2.175,2.5,2.825,3.1500000000000004,3.475,3.8,4.10875,4.125,4.4662500000000005,4.775,4.938125,5]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht",-6.6885458011286796e-06,-6.8216265359257785e-06,0,4.5199140152517805e-05,0,-2.285471566375911e-07,2.8351649471465452e-05,0,3.289577924897089e-05,0,3.13810693231359e-05,0,3.289577924897091e-05,0,2.835164947146537e-05,-2.2854715663762345e-07,0,4.5199140152518116e-05,0,-6.821626535926192e-06,-6.688545801129271e-06]
["Maßkette",null,"Lager",{"$nulls":5},0,0.061875,0.22499999999999998,0.53375,0.875,0.89125,1.2,1.525,1.8499999999999999,2.175,2.5,2.825,3.1500000000000004,3.475,3.8,4.10875,4.125,4.4662500000000005,4.775,4.938125,5]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Nutzlast",-0.000137837110790905,-0.0001405796297975429,0,0.0009314608995882083,0,-4.7098847323563464e-06,0.0005842689226474074,0,0.0006779140494378338,0,0.0006466990071743616,0,0.0006779140494378341,0,0.0005842689226474056,-4.70988473235703e-06,0,0.0009314608995882148,0,-0.00014057962979755254,-0.0001378371107909188]
["Teilsicherheitsbeiwerte",1.4285714285714286,{"$nulls":6},0,0.22499999999999998,0.37124999999999997,0.875,1.0699999999999998,1.525,1.7037499999999999,2.175,2.37,2.825,3.29625,3.475,3.93,4.125,4.62875,4.775,5]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.3708384429664722,0.14716987218249986,0.5546133625377552,0.12473671327967818,0.5056067173187462,0.13379772452872,0.517858378623499,0.13207032956811202,0.517858378623499,0.13379772452871994,0.5056067173187461,0.12473671327967824,0.5546133625377562,0.1471698721824997,0.3708384429664704,0]
["EoF"]
{"$rows_empty":10}
["Datei","QT1",{"$nulls":3},"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,8]
["Streckenlast","Eigengewicht QT1",0.20601832881906826,null,0,8,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT1",4.245612134344522,null,0,8,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","JT1",null,null,0.40000000000000036,{"$nulls":3},0.2423520149074921,0,4.065990082506869,0,0.32717522012511435,0,6.426160343885418,0]
["Lager","JT2",null,null,1.6000000000000003,{"$nulls":3},0.3172962122885236,0,5.323344445370434,0,0.4283498865895069,0,8.413366554645158,0]
["Lager","JT3",null,null,2.8000000000000003,{"$nulls":3},0.2997767895241267,0,5.029417451454276,0,0.404698665857571,0,7.948824843038985,0]
["Lager","JT4",null,null,4,{"$nulls":3},0.30561659711225897,0,5.127393116092996,0,0.4125824061015496,0,8.103672080241044,0]
["Lager","JT5",null,null,5.2,{"$nulls":3},0.2997767895241269,0,5.029417451454279,0,0.40469866585757136,0,7.94882484303899,0]
["Lager","JT6",null,null,6.4,{"$nulls":3},0.31729621228852345,0,5.323344445370431,0,0.4283498865895067,0,8.413366554645153,0]
["Lager","JT7",null,null,7.6000000000000005,{"$nulls":3},0.2423520149074924,0,4.0659900825068735,0,0.32717522012511474,0,6.426160343885425,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Teilsicherheitsbeiwerte",1.2345679012345678,{"$nulls":6},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht",-1.6962343687501812e-06,0,5.855996048137918e-06,0,-3.9634761862471794e-08,3.414787610773468e-06,0,4.0173971891452625e-06,0,4.017397189145258e-06,0,3.4147876107734873e-06,-3.9634761862472304e-08,0,5.855996048137868e-06,0,-1.696234368750112e-06]
["Maßkette",null,"Lager",{"$nulls":5},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Nutzlast",-2.8458076255640553e-05,0,9.824726179403474e-05,0,-6.649606305804648e-07,5.7290600883067026e-05,0,6.740070692125546e-05,0,6.740070692125536e-05,0,5.729060088306736e-05,-6.649606305804714e-07,0,9.824726179403389e-05,0,-2.845807625563938e-05]
["Geometrie","Text","QT1",{"$nulls":3},0.4,null,0,0.4,0.4,0.8800000000000001,1.6,1.6,2.26,2.8,2.8,3.46,4,4.54,5.2,5.2,5.74,6.4,6.4,7.12,7.6,7.6,8]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.3739309426032791,0.5213460257449567,0.07597286139818249,0.6004468020648804,0.5716828834030899,0.05768907005150618,0.5501099444067469,0.5573009240721947,0.06155865552170231,0.5644919037376424,0.06155865552170229,0.5573009240721948,0.5501099444067473,0.057689070051506336,0.5716828834030897,0.6004468020648798,0.07597286139818205,0.5213460257449565,0.3739309426032803,0]
["EoF"]
[]
[]
["Datei","QT2",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,8]
["Streckenlast","Eigengewicht QT2",0.2618194501625135,null,0,8,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT2",5.395557963163595,null,0,8,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","JT1",null,null,0.40000000000000036,{"$nulls":3},0.29579231957871543,0,5.1672843570297715,0,0.39931963143126586,0,8.150246166975924,0]
["Lager","JT2",null,null,1.6000000000000003,{"$nulls":3},0.38726223366530577,0,6.765199599966662,0,0.5228040154481628,0,10.670603415398155,0]
["Lager","JT3",null,null,2.8000000000000003,{"$nulls":3},0.36587965634636266,0,6.391660971747649,0,0.4939375360675896,0,10.081428993689064,0]
["Lager","JT4",null,null,4,{"$nulls":3},0.3730071821193438,0,6.516173847820654,0,0.5035596958611142,0,10.277820467592095,0]
["Lager","JT5",null,null,5.2,{"$nulls":3},0.3658796563463629,0,6.391660971747651,0,0.49393753606758994,0,10.081428993689066,0]
["Lager","JT6",null,null,6.4,{"$nulls":3},0.38726223366530554,0,6.7651995999666585,0,0.5228040154481626,0,10.670603415398151,0]
["Lager","JT7",null,null,7.6000000000000005,{"$nulls":3},0.29579231957871666,0,5.167284357029759,0,0.39931963143126753,0,8.150246166975906,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Teilsicherheitsbeiwerte",1.2345679012345678,{"$nulls":6},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht",-2.0702658431508e-06,0,7.147283900997009e-06,0,-4.8374502484436e-08,4.167772026343149e-06,0,4.903261207462538e-06,0,4.9032612074625305e-06,0,4.1677720263431755e-06,-4.837450248443639e-08,0,7.147283900996948e-06,0,-2.0702658431507183e-06]
["Maßkette",null,"Lager",{"$nulls":5},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Nutzlast",-3.6166092214437386e-05,0,0.00012485803671127507,0,-8.450686289723062e-07,7.28080540632768e-05,0,8.565653419209055e-05,0,8.565653419209038e-05,0,7.280805406327726e-05,-8.450686289723133e-07,0,0.00012485803671127398,0,-3.61660922144359e-05]
["Geometrie","Text","QT2",{"$nulls":3},0.4,null,0,0.4,0.4,0.8800000000000001,1.6,1.6,2.26,2.8,2.8,3.46,4,4.54,5.2,5.2,5.74,6.4,6.4,7.12,7.6,7.6,8]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.47425353065862175,0.6612188648605737,0.09635575355568325,0.7615417271152807,0.7250606862953872,0.07316657177891238,0.6976999056804675,0.7068201658854409,0.0780743351179116,0.7159404260904143,0.07807433511791154,0.7068201658854409,0.6976999056804678,0.07316657177891256,0.7250606862953872,0.7615417271152801,0.09635575355568274,0.661218864860574,0.47425353065861925,0]
["EoF"]
[]
[]
["Datei","QT3",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,8]
["Streckenlast","Eigengewicht QT3",0.2498327762730227,null,0,8,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT3",5.148537378114842,null,0,8,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","JT1",null,null,0.40000000000000036,{"$nulls":3},0.284312774199934,0,4.930714642886905,0,0.3838222451699109,0,7.779894209500268,0]
["Lager","JT2",null,null,1.6000000000000003,{"$nulls":3},0.37223278871155946,0,6.4554737894824505,0,0.5025142647606053,0,10.185724948984282,0]
["Lager","JT3",null,null,2.8000000000000003,{"$nulls":3},0.35168005804650415,0,6.099036586382194,0,0.4747680783627806,0,9.623322957936072,0]
["Lager","JT4",null,null,4,{"$nulls":3},0.3585309682681892,0,6.217848987415614,0,0.4840168071620555,0,9.810790288285476,0]
["Lager","JT5",null,null,5.2,{"$nulls":3},0.35168005804650426,0,6.099036586382198,0,0.4747680783627808,0,9.623322957936077,0]
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["Lager","JT7",null,null,7.6000000000000005,{"$nulls":3},0.28431277419993417,0,4.930714642886897,0,0.38382224516991115,0,7.779894209500256,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Teilsicherheitsbeiwerte",1.2345679012345678,{"$nulls":6},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht",-1.9899199074400956e-06,0,6.869901547075889e-06,0,-4.6497113317479154e-08,4.006022971557124e-06,0,4.712968201831918e-06,0,4.7129682018319115e-06,0,4.006022971557147e-06,-4.6497113317479723e-08,0,6.8699015470758305e-06,0,-1.989919907440012e-06]
["Maßkette",null,"Lager",{"$nulls":5},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Nutzlast",-3.4510328469755186e-05,0,0.00011914175945375587,0,-8.063795168248194e-07,6.947474020885072e-05,0,8.173498848100096e-05,0,8.173498848100087e-05,0,6.947474020885113e-05,-8.063795168248288e-07,0,0.00011914175945375488,0,-3.451032846975387e-05]
["Geometrie","Text","QT3",{"$nulls":3},0.4,null,0,0.4,0.4,0.8800000000000001,1.6,1.6,2.26,2.8,2.8,3.46,4,4.54,5.2,5.2,5.74,6.4,6.4,7.12,7.6,7.6,8]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.45270317256872017,0.6311726925236972,0.09197729170161295,0.726936825182464,0.6921135042156398,0.0698418399211315,0.6659960134905213,0.6747018437322274,0.07452659162070434,0.6834076739739338,0.07452659162070432,0.6747018437322277,0.665996013490522,0.06984183992113166,0.6921135042156397,0.7269368251824632,0.09197729170161244,0.6311726925236968,0.45270317256871884,0]
["EoF"]
[]
[]
["Datei","QT4",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,8]
["Streckenlast","Eigengewicht QT4",0.2528294447453956,null,0,8,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT4",5.2102925243770315,null,0,8,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","JT1",null,null,0.40000000000000036,{"$nulls":3},0.2871826605446297,0,4.989857071422628,0,0.3876965917352501,0,7.872482198869192,0]
["Lager","JT2",null,null,1.6000000000000003,{"$nulls":3},0.37599014994999636,0,6.532905242103505,0,0.5075867024324952,0,10.306944565587752,0]
["Lager","JT3",null,null,2.8000000000000003,{"$nulls":3},0.3552299576214691,0,6.1721926827235585,0,0.4795604427889833,0,9.737849466874321,0]
["Lager","JT4",null,null,4,{"$nulls":3},0.3621500217309782,0,6.292430202516874,0,0.4889025293368206,0,9.927547833112131,0]
["Lager","JT5",null,null,5.2,{"$nulls":3},0.3552299576214693,0,6.17219268272356,0,0.4795604427889836,0,9.737849466874323,0]
["Lager","JT6",null,null,6.4,{"$nulls":3},0.37599014994999613,0,6.532905242103498,0,0.5075867024324948,0,10.306944565587742,0]
["Lager","JT7",null,null,7.6000000000000005,{"$nulls":3},0.28718266054463004,0,4.989857071422624,0,0.38769659173525056,0,7.872482198869187,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Teilsicherheitsbeiwerte",1.2345679012345678,{"$nulls":6},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht",-2.0100063913677786e-06,0,6.939247135556179e-06,0,-4.696646060921862e-08,4.046460235253632e-06,0,4.760541453239577e-06,0,4.7605414532395705e-06,0,4.046460235253658e-06,-4.696646060921886e-08,0,6.939247135556116e-06,0,-2.0100063913676934e-06]
["Maßkette",null,"Lager",{"$nulls":5},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Nutzlast",-3.492426940592572e-05,0,0.00012057082876813568,0,-8.160517948616928e-07,7.030806867245723e-05,0,8.271537490877339e-05,0,8.271537490877325e-05,0,7.030806867245765e-05,-8.160517948617013e-07,0,0.00012057082876813464,0,-3.4924269405924306e-05]
["Geometrie","Text","QT4",{"$nulls":3},0.4,null,0,0.4,0.4,0.8800000000000001,1.6,1.6,2.26,2.8,2.8,3.46,4,4.54,5.2,5.2,5.74,6.4,6.4,7.12,7.6,7.6,8]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.45809076209119665,0.6386842356079167,0.09307190716513054,0.7355880506656688,0.7003502997355766,0.0706730228855767,0.6739219865380079,0.682731424270531,0.07541352749500618,0.6915408620030542,0.07541352749500614,0.682731424270531,0.6739219865380085,0.07067302288557688,0.7003502997355764,0.7355880506656675,0.09307190716513004,0.6386842356079162,0.4580907620911964,0]
["EoF"]
[]
[]
["Datei","QT5",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,8]
["Streckenlast","Eigengewicht QT5",0.25282944474539554,null,0,8,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT5",5.210292524377033,null,0,8,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","JT1",null,null,0.40000000000000036,{"$nulls":3},0.2871826605446297,0,4.989857071422628,0,0.3876965917352501,0,7.872482198869192,0]
["Lager","JT2",null,null,1.6000000000000003,{"$nulls":3},0.37599014994999636,0,6.532905242103505,0,0.5075867024324952,0,10.306944565587752,0]
["Lager","JT3",null,null,2.8000000000000003,{"$nulls":3},0.3552299576214691,0,6.1721926827235585,0,0.4795604427889833,0,9.737849466874321,0]
["Lager","JT4",null,null,4,{"$nulls":3},0.3621500217309782,0,6.292430202516874,0,0.4889025293368206,0,9.927547833112131,0]
["Lager","JT5",null,null,5.2,{"$nulls":3},0.3552299576214693,0,6.17219268272356,0,0.4795604427889836,0,9.737849466874323,0]
["Lager","JT6",null,null,6.4,{"$nulls":3},0.37599014994999613,0,6.532905242103498,0,0.5075867024324948,0,10.306944565587742,0]
["Lager","JT7",null,null,7.6000000000000005,{"$nulls":3},0.28718266054463004,0,4.989857071422624,0,0.38769659173525056,0,7.872482198869187,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Teilsicherheitsbeiwerte",1.2345679012345678,{"$nulls":6},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht",-2.0100063913677786e-06,0,6.939247135556179e-06,0,-4.696646060921862e-08,4.046460235253632e-06,0,4.760541453239577e-06,0,4.7605414532395705e-06,0,4.046460235253658e-06,-4.696646060921886e-08,0,6.939247135556116e-06,0,-2.0100063913676934e-06]
["Maßkette",null,"Lager",{"$nulls":5},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Nutzlast",-3.492426940592572e-05,0,0.00012057082876813568,0,-8.160517948616928e-07,7.030806867245723e-05,0,8.271537490877339e-05,0,8.271537490877325e-05,0,7.030806867245765e-05,-8.160517948617013e-07,0,0.00012057082876813464,0,-3.4924269405924306e-05]
["Geometrie","Text","QT5",{"$nulls":3},0.4,null,0,0.4,0.4,0.8800000000000001,1.6,1.6,2.26,2.8,2.8,3.46,4,4.54,5.2,5.2,5.74,6.4,6.4,7.12,7.6,7.6,8]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.45809076209119665,0.6386842356079167,0.09307190716513054,0.7355880506656688,0.7003502997355766,0.0706730228855767,0.6739219865380079,0.682731424270531,0.07541352749500618,0.6915408620030542,0.07541352749500614,0.682731424270531,0.6739219865380085,0.07067302288557688,0.7003502997355764,0.7355880506656675,0.09307190716513004,0.6386842356079162,0.4580907620911964,0]
["EoF"]
[]
[]
["Datei","QT6",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,8]
["Streckenlast","Eigengewicht QT6",0.24983277627302264,null,0,8,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT6",5.148537378114839,null,0,8,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","JT1",null,null,0.40000000000000036,{"$nulls":3},0.284312774199934,0,4.930714642886905,0,0.3838222451699109,0,7.779894209500268,0]
["Lager","JT2",null,null,1.6000000000000003,{"$nulls":3},0.37223278871155946,0,6.4554737894824505,0,0.5025142647606053,0,10.185724948984282,0]
["Lager","JT3",null,null,2.8000000000000003,{"$nulls":3},0.35168005804650415,0,6.099036586382194,0,0.4747680783627806,0,9.623322957936072,0]
["Lager","JT4",null,null,4,{"$nulls":3},0.3585309682681892,0,6.217848987415614,0,0.4840168071620555,0,9.810790288285476,0]
["Lager","JT5",null,null,5.2,{"$nulls":3},0.35168005804650426,0,6.099036586382198,0,0.4747680783627808,0,9.623322957936077,0]
["Lager","JT6",null,null,6.4,{"$nulls":3},0.3722327887115592,0,6.455473789482446,0,0.5025142647606049,0,10.185724948984273,0]
["Lager","JT7",null,null,7.6000000000000005,{"$nulls":3},0.28431277419993417,0,4.930714642886897,0,0.38382224516991115,0,7.779894209500256,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Teilsicherheitsbeiwerte",1.2345679012345678,{"$nulls":6},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht",-1.9899199074400956e-06,0,6.869901547075889e-06,0,-4.6497113317479154e-08,4.006022971557124e-06,0,4.712968201831918e-06,0,4.7129682018319115e-06,0,4.006022971557147e-06,-4.6497113317479723e-08,0,6.8699015470758305e-06,0,-1.989919907440012e-06]
["Maßkette",null,"Lager",{"$nulls":5},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Nutzlast",-3.4510328469755186e-05,0,0.00011914175945375587,0,-8.063795168248194e-07,6.947474020885072e-05,0,8.173498848100096e-05,0,8.173498848100087e-05,0,6.947474020885113e-05,-8.063795168248288e-07,0,0.00011914175945375488,0,-3.451032846975387e-05]
["Geometrie","Text","QT6",{"$nulls":3},0.4,null,0,0.4,0.4,0.8800000000000001,1.6,1.6,2.26,2.8,2.8,3.46,4,4.54,5.2,5.2,5.74,6.4,6.4,7.12,7.6,7.6,8]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.45270317256872017,0.6311726925236972,0.09197729170161295,0.726936825182464,0.6921135042156398,0.0698418399211315,0.6659960134905213,0.6747018437322274,0.07452659162070434,0.6834076739739338,0.07452659162070432,0.6747018437322277,0.665996013490522,0.06984183992113166,0.6921135042156397,0.7269368251824632,0.09197729170161244,0.6311726925236968,0.45270317256871884,0]
["EoF"]
[]
[]
["Datei","QT7",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,8]
["Streckenlast","Eigengewicht QT7",0.26181945016251373,null,0,8,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT7",5.395557963163601,null,0,8,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","JT1",null,null,0.40000000000000036,{"$nulls":3},0.29579231957871543,0,5.1672843570297715,0,0.39931963143126586,0,8.150246166975924,0]
["Lager","JT2",null,null,1.6000000000000003,{"$nulls":3},0.38726223366530577,0,6.765199599966662,0,0.5228040154481628,0,10.670603415398155,0]
["Lager","JT3",null,null,2.8000000000000003,{"$nulls":3},0.36587965634636266,0,6.391660971747649,0,0.4939375360675896,0,10.081428993689064,0]
["Lager","JT4",null,null,4,{"$nulls":3},0.3730071821193438,0,6.516173847820654,0,0.5035596958611142,0,10.277820467592095,0]
["Lager","JT5",null,null,5.2,{"$nulls":3},0.3658796563463629,0,6.391660971747651,0,0.49393753606758994,0,10.081428993689066,0]
["Lager","JT6",null,null,6.4,{"$nulls":3},0.38726223366530554,0,6.7651995999666585,0,0.5228040154481626,0,10.670603415398151,0]
["Lager","JT7",null,null,7.6000000000000005,{"$nulls":3},0.29579231957871666,0,5.167284357029759,0,0.39931963143126753,0,8.150246166975906,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Teilsicherheitsbeiwerte",1.2345679012345678,{"$nulls":6},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht",-2.0702658431508e-06,0,7.147283900997009e-06,0,-4.8374502484436e-08,4.167772026343149e-06,0,4.903261207462538e-06,0,4.9032612074625305e-06,0,4.1677720263431755e-06,-4.837450248443639e-08,0,7.147283900996948e-06,0,-2.0702658431507183e-06]
["Maßkette",null,"Lager",{"$nulls":5},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
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["Geometrie","Text","QT7",{"$nulls":3},0.4,null,0,0.4,0.4,0.8800000000000001,1.6,1.6,2.26,2.8,2.8,3.46,4,4.54,5.2,5.2,5.74,6.4,6.4,7.12,7.6,7.6,8]
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["EoF"]
[]
[]
["Datei","QT8",null,"100",null,"0112220"]
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["Streckenlast","Eigengewicht QT8",0.2060183288190683,null,0,8,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT8",4.24561213434453,null,0,8,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","JT1",null,null,0.40000000000000036,{"$nulls":3},0.2423520149074921,0,4.065990082506879,0,0.32717522012511435,0,6.4261603438854324,0]
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["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Teilsicherheitsbeiwerte",1.2345679012345678,{"$nulls":6},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
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["Maßkette",null,"Lager",{"$nulls":5},0,0.4,0.9700000000000001,1.6,1.6300000000000001,2.2,2.8,3.4,4,4.6,5.2,5.800000000000001,6.37,6.4,7.03,7.6,8]
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["Geometrie","Text","QT8",{"$nulls":3},0.4,null,0,0.4,0.4,0.8800000000000001,1.6,1.6,2.26,2.8,2.8,3.46,4,4.54,5.2,5.2,5.74,6.4,6.4,7.12,7.6,7.6,8]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.3739309426032798,0.5213460257449579,0.07597286139818266,0.6004468020648817,0.5716828834030911,0.05768907005150633,0.5501099444067483,0.5573009240721959,0.06155865552170245,0.5644919037376436,0.061558655521702414,0.5573009240721959,0.5501099444067487,0.05768907005150649,0.5716828834030911,0.6004468020648811,0.07597286139818223,0.5213460257449575,0.373930942603281,0]
["EoF"]
[]
[]
["Nichts","QT0",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,8]
["Streckenlast","Eigengewicht QT0",0.19228752775575025,null,0,8,null,"Eigengewicht"]
["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT0",3.9626486915146684,null,0,8,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
["Lager","JT1",null,null,0.40000000000000036,{"$nulls":3},0.32225796796246253,0,5.3357636167113895,0,0.43504825674932446,0,8.438693681816408,0]
["Lager","JT2",null,null,1.6000000000000003,{"$nulls":3},0.257794868238826,0,4.268420381412798,0,0.3480230721224152,0,6.750653644241612,0]
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["Lager","JT4",null,null,4,{"$nulls":3},0.2829932954400324,0,4.685641565759776,0,0.3820409488440437,0,7.410503297483707,0]
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["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
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["Maßkette",null,"Lager",{"$nulls":5},0,0.65,0.8600000000000001,1.85,2.42,3.05,3.0799999999999996,3.65,4.25,4.85,5.42,5.45,6.08,6.65,7.64,7.85,8.5]
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["Geometrie","Text","QT0",{"$nulls":3},0.4,null,0,0.65,0.65,1.37,1.85,1.85,2.36,3.05,3.05,3.71,4.25,4.79,5.45,5.45,6.140000000000001,6.65,6.65,7.13,7.85,7.85,8.5]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.4596935845297049,0.4925895566474943,0.02461032367890125,0.3560755224842717,0.4057169894527159,0.0531946100849317,0.44294808967904936,0.43053772293693837,0.04516987742818705,0.41812735619482727,0.04516987742818706,0.4305377229369383,0.44294808967904936,0.05319461008493163,0.40571698945271634,0.35607552248427266,0.024610323678901425,0.4925895566474921,0.45969358452970366,0]
["EoF"]
[]
[]
["Nichts","QT0",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,8]
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["Streckenlast","Stahlbetondecke + Arbeitsbetrieb + Betonieren QT0",3.9626486915146684,null,0,8,null,"Nutzlast"]
["Lager","JT1",null,null,0.40000000000000036]
["Lager","JT2",null,null,1.6000000000000003]
["Lager","JT3",null,null,2.8000000000000003]
["Lager","JT4",null,null,4]
["Lager","JT5",null,null,5.2]
["Lager","JT6",null,null,6.4]
["Lager","JT7",null,null,7.6000000000000005]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Nichts","JT0",null,null,0]
["Teilsicherheitsbeiwerte",1.2345679012345678]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht"]
["Maßkette",null,"Lager"]
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["Geometrie","Text","QT0",{"$nulls":3},0.4]
["Ausgabe",null,"Auslastung",null,"Elemente"]
["EoF"]
[]
[]
[]
["Datei","JT1",{"$nulls":3},"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,6]
["Last","QT1",0.2423520149074921,null,0.7250000000000001]
["Last","QT2",0.29579231957871543,null,1.375]
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["Last","QT5",0.2871826605446297,null,3.325]
["Last","QT6",0.284312774199934,null,3.975]
["Last","QT7",0.29579231957871543,null,4.625]
["Last","QT8",0.2423520149074921,null,5.275]
["Nichts","QT0",0.32225796796246253,null,0]
["Nichts","QT0",0,null,0]
["Last","I20;8;0;4;4;0",4.065990082506869,null,0.7250000000000001,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",5.1672843570297715,null,1.375,null,null,"Nutzlast"]
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["Last","I20;8;0;4;4;0",4.989857071422628,null,2.6750000000000003,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",4.989857071422628,null,3.325,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",4.930714642886905,null,3.975,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",5.1672843570297715,null,4.625,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",4.065990082506879,null,5.275,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",5.3357636167113895,null,0,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",0,null,0,null,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
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["Nichts","S0",50000,null,0]
["Nichts","S0",50000,null,0]
["Nichts","S0",50000,null,0]
["Geometrie","Text","JT1",{"$nulls":3},0.3,null,0,0.6,0.725,1.05,1.375,1.4,1.4416666666666667,1.8791666666666664,2.025,2.2,2.231666666666667,2.643333333333333,2.675,3,3.325,3.356666666666667,3.768333333333333,3.8,3.975,4.120833333333334,4.558333333333333,4.6,4.625,4.95,5.275,5.4,6]
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["Maßkette",null,"Last",{"$nulls":5},0,0.6,0.6,0.725,0.725,1.375,1.375,1.4,1.4,2.025,2.025,2.2,2.2,2.675,2.675,3,3.325,3.325,3.8,3.8,3.975,3.975,4.6,4.6,4.625,4.625,5.275,5.275,5.4,5.4,6]
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["Teilsicherheitsbeiwerte",1.1111111111111112]
["EoF"]
[]
[]
["Datei","JT2",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,6]
["Last","QT1",0.3172962122885236,null,0.7250000000000001]
["Last","QT2",0.38726223366530577,null,1.375]
["Last","QT3",0.37223278871155946,null,2.0250000000000004]
["Last","QT4",0.37599014994999636,null,2.6750000000000003]
["Last","QT5",0.37599014994999636,null,3.325]
["Last","QT6",0.37223278871155946,null,3.975]
["Last","QT7",0.38726223366530577,null,4.625]
["Last","QT8",0.3172962122885236,null,5.275]
["Nichts","QT0",0.257794868238826,null,0]
["Nichts","QT0",0,null,0]
["Last","I20;8;0;4;4;0",5.323344445370434,null,0.7250000000000001,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",6.765199599966662,null,1.375,null,null,"Nutzlast"]
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["Last","I20;8;0;4;4;0",6.532905242103505,null,2.6750000000000003,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",6.532905242103505,null,3.325,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",6.4554737894824505,null,3.975,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",6.765199599966662,null,4.625,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",5.323344445370447,null,5.275,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",4.268420381412798,null,0,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",0,null,0,null,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
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[]
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[]
[]
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[]
[]
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["Nichts","QT0",0,null,0]
["Nichts","QT0",0,null,0]
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["Last","I20;8;0;4;4;0",0,null,1.375,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,2.0250000000000004,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,2.6750000000000003,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,3.325,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,3.975,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,4.625,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,5.275,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",0,null,0,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",0,null,0,null,null,"Nutzlast","F Eigengewicht","M Eigengewicht","F Nutzlast","M Nutzlast","min F","min M","max F","max M"]
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["Lager","S5",50000,null,3.8]
["Lager","S6",50000,null,4.6]
["Lager","S7",50000,null,5.3999999999999995]
["Nichts","S0",50000,null,0]
["Nichts","S0",50000,null,0]
["Nichts","S0",50000,null,0]
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["Maßkette",null,"Last",{"$nulls":5},0,0.175,0.175,0.55,0.55,0.925,0.925,1.675,1.675,2.05,2.05,2.425,2.425,3.175,3.175,3.55,3.55,3.925,3.925,4.675,4.675,5.05,5.05,5.425,5.425,5.6]
["Ausgabe",null,"Auslastung",null,"Elemente",{"$nulls":3},0,0.0012540937500226672,0.9560565581963499,0.95874390194635,1.461407746711942,1.4587204029619438,0.2111986643318127,0.11914402174440963,1.5152594330915339,1.5179467768415325,1.7788899405987313,1.7762025968487356,0.22884546390689178,0.1478970758176666,1.5426574643345592,1.5453448080845578,1.5076978018301197,1.5050104580801205,0.1320701393317564,0.21550737019432792,1.4689693779734276,1.471656721723427,0.9587439019461375,0.9560565581961384,0.0012540937500183371,0]
["Teilsicherheitsbeiwerte",1.1111111111111112]
["EoF"]
[]
[]
["Nichts","JT0",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,6]
["Last","QT1",0,null,0.7250000000000001]
["Last","QT2",0,null,1.375]
["Last","QT3",0,null,2.0250000000000004]
["Last","QT4",0,null,2.6750000000000003]
["Last","QT5",0,null,3.325]
["Last","QT6",0,null,3.975]
["Last","QT7",0,null,4.625]
["Last","QT8",0,null,5.275]
["Nichts","QT0",0,null,0]
["Nichts","QT0",0,null,0]
["Last","I20;8;0;4;4;0",0,null,0.7250000000000001,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,1.375,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,2.0250000000000004,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,2.6750000000000003,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,3.325,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,3.975,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,4.625,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,5.275,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",0,null,0,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",0,null,0,null,null,"Nutzlast"]
["Lager","S1",50000,null,0.5999999999999996]
["Lager","S2",50000,null,1.3999999999999997]
["Lager","S3",50000,null,2.1999999999999997]
["Lager","S4",50000,null,3]
["Lager","S5",50000,null,3.8]
["Lager","S6",50000,null,4.6]
["Lager","S7",50000,null,5.3999999999999995]
["Nichts","S0",50000,null,0]
["Nichts","S0",50000,null,0]
["Nichts","S0",50000,null,0]
["Geometrie","Text","JT0",{"$nulls":3},0.3]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht"]
["Maßkette",null,"Lager"]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Nutzlast"]
["Maßkette",null,"Last"]
["Ausgabe",null,"Auslastung",null,"Elemente"]
["Teilsicherheitsbeiwerte",1.1111111111111112]
["EoF"]
[]
[]
["Nichts","JT0",null,"100",null,"0112220"]
["Balken","I20;8;0;4;4;0","C24",null,0,6]
["Last","QT1",0,null,0.7250000000000001]
["Last","QT2",0,null,1.375]
["Last","QT3",0,null,2.0250000000000004]
["Last","QT4",0,null,2.6750000000000003]
["Last","QT5",0,null,3.325]
["Last","QT6",0,null,3.975]
["Last","QT7",0,null,4.625]
["Last","QT8",0,null,5.275]
["Nichts","QT0",0,null,0]
["Nichts","QT0",0,null,0]
["Last","I20;8;0;4;4;0",0,null,0.7250000000000001,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,1.375,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,2.0250000000000004,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,2.6750000000000003,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,3.325,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,3.975,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,4.625,null,null,"Nutzlast"]
["Last","I20;8;0;4;4;0",0,null,5.275,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",0,null,0,null,null,"Nutzlast"]
["Nichts","I20;8;0;4;4;0",0,null,0,null,null,"Nutzlast"]
["Lager","S1",50000,null,0.5999999999999996]
["Lager","S2",50000,null,1.3999999999999997]
["Lager","S3",50000,null,2.1999999999999997]
["Lager","S4",50000,null,3]
["Lager","S5",50000,null,3.8]
["Lager","S6",50000,null,4.6]
["Lager","S7",50000,null,5.3999999999999995]
["Nichts","S0",50000,null,0]
["Nichts","S0",50000,null,0]
["Nichts","S0",50000,null,0]
["Geometrie","Text","JT0",{"$nulls":3},0.3]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Eigengewicht"]
["Maßkette",null,"Lager"]
["Ausgabe",null,"Durchbiegung",null,"Elemente",null,null,"Nutzlast"]
["Maßkette",null,"Last"]
["Ausgabe",null,"Auslastung",null,"Elemente"]
["Teilsicherheitsbeiwerte",1.1111111111111112]
["EoF"]
[]
[]
[]
[]
[]
["Dateiname","GrundrissSchalung",null,null,52695,39622,0,0,0,15700,23700,2540,0,0,16189]
[{"$nulls":3},5,523,0,0]
[{"$nulls":3},5,524,23700,15700]
[null,null,"0 Font",28,"Font",500,0,0,0,400,0,0,0,0,"Times New Roman"]
[null,null,"1 gedreht",28,"Font",500,0,900,900,400,0,0,0,0,"Times New Roman"]
[null,null,"2 schwarz",7,"Pinsel",0,0,0,0]
[null,null,"3 weiß",7,"Pinsel",0,-1,255,0]
[null,null,"4 hellgrau",7,"Pinsel",0,57568,224,0]
[null,null,"5 unsichtbar",7,"Pinsel",1,-1,0]
[null,null,"6 schwarz",8,"Füller",0,25,0,0,0]
[null,null,"7 dick",8,"Füller",0,50,0,0,0]
[null,null,"8 hellgrau",8,"Füller",0,25,0,57568,224]
[null,null,"9 gestrichelt",8,"Füller",2,25,0,0,0]
[{"$nulls":3},5,"Textabdecken",2,0]
["maxX",2350,2300,4,"ObjektWählen",0]
["maxY",2462.5,2400,4,"ObjektWählen",4]
[null,"Maßfaktor",2300,4,"ObjektWählen",7]
[null,"M1:",43.47826086956522,7,"Rechteck",21100,12700,2700,1200,null,"Schalung"]
[{"$nulls":3},4,"ObjektWählen",5]
[{"$nulls":3},4,"ObjektWählen",9]
["Basispunkt","X",50,7,"Rechteck",3712.000000000001,13850,3528.000000000001,50,null,"Jochträger"]
[null,"Y",2700,null,"Kopieren",1,0,2760,6,0]
[{"$nulls":3},4,"ObjektWählen",4]
[{"$nulls":3},4,"ObjektWählen",7]
["Querprofilbreite",0.08,"m",7,"Rechteck",21100,1809.5000000000002,2700,1625.5000000000002,null,"Querträger"]
["Jochprofilbreite",0.08,"m",null,"Kopieren",1,1495,0,7,0]
[{"$nulls":3},8,"Text",3,"JT1",3712.000000000001,100]
[{"$nulls":3},8,"Text",3,"JT2",6472.000000000001,100]
[{"$nulls":3},8,"Text",3,"JT3",9232,100]
[{"$nulls":3},8,"Text",3,"JT4",11992,100]
[{"$nulls":3},8,"Text",3,"JT5",14752,100]
[{"$nulls":3},8,"Text",3,"JT6",17512,100]
[{"$nulls":3},8,"Text",3,"JT7",20272,100]
[{"$nulls":3},8,"Nichts",3,"JT0",2792,100]
[{"$nulls":3},8,"Nichts",3,"JT0",2792,100]
[{"$nulls":3},8,"Nichts",3,"JT0",2792,100]
[{"$nulls":3},5,"Textabdecken",1,0]
[{"$nulls":4},"PolytextV","Maßstab_M23:1000_M1:43",0,0,500,1000]
[{"$nulls":3},4,"ObjektWählen",1]
[{"$nulls":3},8,"Text",3,"QT1",2650,1259.5000000000002]
[{"$nulls":3},8,"Text",3,"QT2",2650,3054.5]
[{"$nulls":3},8,"Text",3,"QT3",2650,4549.500000000001]
[{"$nulls":3},8,"Text",3,"QT4",2650,6044.500000000001]
[{"$nulls":3},8,"Text",3,"QT5",2650,7539.500000000001]
[{"$nulls":3},8,"Text",3,"QT6",2650,9034.5]
[{"$nulls":3},8,"Text",3,"QT7",2650,10529.5]
[{"$nulls":3},8,"Text",3,"QT8",2650,12024.5]
[{"$nulls":3},8,"Nichts",3,"QT0",2650,1042]
[{"$nulls":3},8,"Nichts",3,"QT0",2650,1042]
[{"$nulls":3},4,"ObjektWählen",0]
[{"$nulls":3},4,"ObjektWählen",2]
[{"$nulls":3},4,"ObjektWählen",6]
[null,null,22.5,118,"Polymaßkette",300,3,"KQ=22,5;7 x 65 = 455cm ;KQ=22,5",1200,21850,12700,21850,517.5000000000002,10982.5]
[{"$nulls":3},56,"Nichts",300,1200,21850,12700,21850,"7 x 65 = 455"]
[{"$nulls":3},51,"Maßkette",300,50,22600,1200,22600,50]
[{"$nulls":3},51,"Maßkette",300,12700,22600,13850,22600,50]
[{"$nulls":3},54,"Maßkette",300,1200,22600,12700,22600,"Ls= 500"]
[{"$nulls":3},54,"Maßkette",300,50,23350,13850,23350,"LS= 600"]
[{"$nulls":3},49,"Mleader",300,3304.5,3200,2000,300,"Querträger;PERI Multiflex H20;Auslastung= 76%"]
[{"$nulls":3},49,"Mleader",300,6000,3528.000000000001,7000,300,"Jochträger;Hünnebeck Topfflex;Auslastung= 153%"]
[{"$nulls":3},5,"Textabdecken",2,0]
[{"$nulls":3},41,"Mleader",300,11000,2700,11500,300,"2,1cm Schalung;Auslastung= 55%"]
[{"$nulls":3},5,"Textabdecken",1,0]
[{"$nulls":3},51,"Maßkette",300,1717.5000000000002,5092.000000000001,3212.5,5092.000000000001,65]
[{"$nulls":3},4,"ObjektWählen",1]
[{"$nulls":3},116,"Polymaßkette",300,3,"KJ=40;6 x 120 = 720cm ;KJ=40",14600,21100,14600,2700,920.0000000000008,17480]
[{"$nulls":3},57,"Nichts",300,14600,21100,14600,2700,"6 x 120 = 720"]
[{"$nulls":3},54,"Maßkette",300,15350,21100,15350,2700,"LQ= 800"]
[{"$nulls":3},52,"Maßkette",300,4175.750000000001,6380.000000000001,4175.750000000001,3620.000000000001,120]
[]
[]
[]
["Dateiname","GrundrissStützen",null,null,52695,39622,0,0,0,15700,21950,2540,0,0,13847]
[{"$nulls":3},5,523,0,0]
[{"$nulls":3},5,524,21950,15700]
[null,null,"0 Font",28,"Font",500,0,0,0,400,0,0,0,0,"Times New Roman"]
[null,null,"1 gedreht",28,"Font",500,0,900,900,400,0,0,0,0,"Times New Roman"]
[null,null,"2 schwarz",7,"Pinsel",0,0,0,0]
[null,null,"3 weiß",7,"Pinsel",0,-1,255,0]
[null,null,"4 hellgrau",7,"Pinsel",0,57568,224,0]
[null,null,"5 unsichtbar",7,"Pinsel",1,-1,0]
[null,null,"6 schwarz",8,"Füller",0,25,0,0,0]
[null,null,"7 dick",8,"Füller",0,50,0,0,0]
[null,null,"8 hellgrau",8,"Füller",0,25,0,57568,224]
[null,null,"9 gestrichelt",8,"Füller",2,25,0,0,0]
[null,null,"10 Kleinfont",28,"Font",350,0,0,0,400,0,0,0,0,"Times New Roman"]
[{"$nulls":3},5,"Textabdecken",2,0]
["maxX",2350,2300,4,"ObjektWählen",0]
["maxY",2681.25,2600,4,"ObjektWählen",5]
[null,"Maßfaktor",2300,4,"ObjektWählen",9]
[null,"M1:",43.47826086956522,7,"Rechteck",20100,12700,1700,1200,null,"Schalung"]
[{"$nulls":3},4,"ObjektWählen",4]
[{"$nulls":3},4,"ObjektWählen",7]
[{"$nulls":3},7,"Kreis",300,1429.999999999999,2620.000000000001]
[{"$nulls":4},"Kopieren",1,1840,0,6,0]
[{"$nulls":4},"Kopieren",7,0,2760,6,0]
["Basispunkt","X",50,7,"Rechteck",2712.000000000001,13850,2528.000000000001,50,null,"Jochträger"]
[null,"Y",1700,null,"Kopieren",1,0,2760,6,0]
[{"$nulls":3},4,"ObjektWählen",4]
[{"$nulls":3},4,"ObjektWählen",7]
["Querprofilbreite",0.08,"m",8,"Text",3,"JT1",2712.000000000001,100]
["Jochprofilbreite",0.08,"m",8,"Text",3,"JT2",5472.000000000001,100]
[{"$nulls":3},8,"Text",3,"JT3",8232,100]
[{"$nulls":3},8,"Text",3,"JT4",10992,100]
[{"$nulls":3},8,"Text",3,"JT5",13752,100]
[{"$nulls":3},8,"Text",3,"JT6",16512,100]
[{"$nulls":3},8,"Text",3,"JT7",19272,100]
[{"$nulls":3},8,"Nichts",3,"JT0",1792,100]
[{"$nulls":3},8,"Nichts",3,"JT0",1792,100]
[{"$nulls":3},8,"Nichts",3,"JT0",1792,100]
[{"$nulls":3},5,"Textabdecken",1,0]
[{"$nulls":4},"PolytextV","Maßstab_M23:1000_M1:43",0,0,500,1000]
[{"$nulls":3},4,"ObjektWählen",0]
[{"$nulls":3},4,"ObjektWählen",2]
[{"$nulls":3},4,"ObjektWählen",6]
[null,null,60,116,"Polymaßkette",300,3,"KS=60;6 x 80 = 480cm ;KS=60",50,20850,13850,20850,1379.999999999999,12420]
[{"$nulls":3},56,"Nichts",300,50,20850,13850,20850,"6 x 80 = 480"]
[{"$nulls":3},54,"Maßkette",300,50,21600,13850,21600,"LS= 600"]
[{"$nulls":3},49,"Mleader",300,6029.999999999999,2528.000000000001,7029.999999999999,300,"Jochträger;Hünnebeck Topfflex;Auslastung= 153%"]
[{"$nulls":3},5,"Textabdecken",2,0]
[{"$nulls":3},43,"Mleader",300,1429.999999999999,2620.000000000001,2000,300,"Stütze;RUX VS500;Auslastung= 3,84%"]
[{"$nulls":3},5,"Textabdecken",1,0]
[{"$nulls":3},4,"ObjektWählen",1]
[{"$nulls":3},116,"Polymaßkette",300,3,"KJ=40;6 x 120 = 720cm ;KJ=40",14600,20100,14600,1700,920.0000000000008,17480]
[{"$nulls":3},57,"Nichts",300,14600,20100,14600,1700,"6 x 120 = 720"]
[{"$nulls":3},54,"Maßkette",300,15350,20100,15350,1700,"LQ= 800"]
[{"$nulls":3},4,"ObjektWählen",10]
[{"$nulls":3},7,"Text",1,"d",2228.000000000001,1929.999999999999]
[{"$nulls":3},4,"ObjektWählen",0]
[{"$nulls":3},8,"Text",4,"F  =",2028.000000000001,1729.999999999999]
[{"$nulls":4},"PolytextH","5,33kN_10,56kN_9,67kN_9,69kN_9,67kN_10,56kN_5,33kN",1729.999999999999,2712.000000000001,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":4},"PolytextH","6,96kN_13,82kN_12,65kN_12,67kN_12,65kN_13,82kN_6,96kN",1729.999999999999,5472.000000000001,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":4},"PolytextH","6,58kN_13,06kN_11,95kN_11,98kN_11,95kN_13,06kN_6,58kN",1729.999999999999,8232,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":4},"PolytextH","6,71kN_13,31kN_12,18kN_12,21kN_12,18kN_13,31kN_6,71kN",1729.999999999999,10992,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":4},"PolytextH","6,58kN_13,06kN_11,95kN_11,98kN_11,95kN_13,06kN_6,58kN",1729.999999999999,13752,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":4},"PolytextH","6,96kN_13,82kN_12,65kN_12,67kN_12,65kN_13,82kN_6,96kN",1729.999999999999,16512,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":4},"PolytextH","5,33kN_10,56kN_9,67kN_9,69kN_9,67kN_10,56kN_5,33kN",1729.999999999999,19272,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":4},"Nichts","",1729.999999999999,1792,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":4},"Nichts","",1729.999999999999,1792,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":4},"Nichts","",1729.999999999999,1792,3569.999999999999,5409.999999999999,7249.999999999999,9090,10930,12770,14610,16450,18290,20130]
[{"$nulls":3},51,"Maßkette",300,1429.999999999999,4092.000000000001,3269.999999999999,4092.000000000001,80]

{"sheet":"Ankerstange","index":6,"n_rows":169,"n_cols":10,"rows_kept":169,"hidden":true,"read":"bin_skipped_in_rows","flags":["formulas_cached_only","records_skipped"],"rows_in_doubt":{"n":0,"rows":[]},"rows_in_doubt_other":111}
["DIN EN 1992-4"]
[]
["Einbindetiefe h_ef [mm]",200,240,100,100,100,100,100,100]
["Nenndurchmesser d_nom [mm]",16,20,10,12,14,16,20,24]
["Betonfestigkeit f_ck [N/mm²]",20,25,20,20,20,20,20,20]
["Streckgrenze f_yk [kN/cm²]",40,64,24,24,24,24,24,24]
["Festigkeit f_uk [kN/cm²]",50,80,40,40,40,40,40,40]
["Querkraft V_gEd [kN]",5,5,1.5,1.5,1.5,1.5,1.5,1.5]
["Querkraft V_qEd [kN]",0,0,0,0,0,0,0,0]
["Zugkraft N_gEd [kN]",0,0,0,0,0,0,0,0]
["Zugkraft N_qEd [kN]",23,23,2.2,2.2,2.2,2.2,2.2,2.2]
["Ausmitte e_N1 [mm]",0,0,0,0,0,0,0,0]
["Ausmitte e_V [mm]",0,0,0,0,0,0,0,0]
["IstBetonUngerissen?",0,0,0,0,0,0,0,0]
["IstKopfbolzen?",0,0,0,0,0,0,0,0]
[]
["Dübelanordnung"]
["Dübel in Kraftrichtung N_1",2,2,1,1,1,1,1,1]
["Dübel quer zur Kraftrichtung N_2",2,2,2,2,2,2,2,2]
["Dübelabstand in Kraftrichtung s_1 [mm]",182,300,0,0,0,0,0,0]
["Dübelabstand quer zur Kraftrichtung s_2",70,300,80,80,80,80,80,80]
["Randabstand in Kraftrichtung c_1u [mm]",0,0,100,100,100,100,100,100]
["Randabstand gegen Kraftrichtung c_1o",0,0,120,120,120,120,120,120]
["Randabstand links zur Kraftrichtung c_2l",0,850,0,0,0,0,0,0]
["Randabstand rechts zur Kraftrichtung c_2r",0,0,0,0,0,0,0,0]
["Betonwanddicke h [mm]",0,300,220,220,220,220,220,220]
[]
["Teilsicherheitsbeiwerte"]
["TSBlast g_g Eigengewicht",1.35,1.35,1.35,1.35,1.35,1.35,1.35,1.35]
["TSBlast g_q Nutzlast",1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5]
["TSBstahl g_Ms Zugkraft",1.5,1.5,2,2,2,2,2,2,"Tab 4.1"]
["TSBstahl g_Ms Querkraft",1.25,1.25,1.6666666666666667,1.6666666666666667,1.6666666666666667,1.6666666666666667,1.6666666666666667,1.6666666666666667,"Tab 4.1"]
["TSBbeton g_Mc Betonausbruch",1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,"Tab 4.1"]
["TSBbeton g_Msp Betonspalten",1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,"Tab 4.1"]
["TSBbeton g_Mp Kombiniert",1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,"Tab 4.1"]
[]
[]
["Kegelförmiger Betonausbruch"]
["N0_Rk_c [kN]",97.39815193318599,143.14546447582603,34.435446853496785,34.435446853496785,34.435446853496785,34.435446853496785,34.435446853496785,34.435446853496785,"GL 7.2"]
["k_1",7.7,7.7,7.7,7.7,7.7,7.7,7.7,7.7]
["Bezugsfläche A^0_c,N [mm²]",360000,518400,90000,90000,90000,90000,90000,90000,"GL 7.3"]
["redEinbindetiefe h'_ef [mm]",200,240,100,100,100,100,100,100]
["Kegelradius c_cr,N [mm]",300,360,150,150,150,150,150,150]
["Kegeldurchmesser s_cr,N [mm]",600,720,300,300,300,300,300,300]
["c_1ue [mm]",300,360,100,100,100,100,100,100]
["c_1oe [mm]",300,360,120,120,120,120,120,120]
["c_2le [mm]",300,360,150,150,150,150,150,150]
["c_2re [mm]",300,360,150,150,150,150,150,150]
["vorhandeneFläche A_c,N [mm²]",523940,1040400,83600,83600,83600,83600,83600,83600,"GL 7.3"]
["c [mm]",300,360,100,100,100,100,100,100]
["Spannungsstörung y_s,N",1,1,0.8999999999999999,0.8999999999999999,0.8999999999999999,0.8999999999999999,0.8999999999999999,0.8999999999999999,"GL 7.4"]
["Schalenabplatzfaktor y_re,N",1,1,1,1,1,1,1,1,"GL 7.5"]
["Ausmittige Zugkraft y_ec,N",1,1,1,1,1,1,1,1,"GL 7.6"]
["unterstützende Druckkraft y_M,N",1,1,1,1,1,1,1,1,"GL 7.7"]
["Betonkegelausbruch N_Rk,c",141.75218812187074,287.28499467717864,28.78803356952331,28.78803356952331,28.78803356952331,28.78803356952331,28.78803356952331,28.78803356952331,"GL 7.1"]
[]
["Herausziehen"]
["Kopfbolzendurchmesser d_h [mm]",32,40,20,24,28,32,40,48]
["Kopfbolzen N_Rk,p [kN]",90.47786842338604,176.71458676442586,35.34291735288517,50.893800988154645,69.27211801165494,90.47786842338604,141.3716694115407,203.57520395261858,"GL 7.11"]
["Ankerstange N_Rk,p [kN]",85.45132017764237,131.3437056612821,26.703537555513247,32.044245066615886,37.38495257771854,42.725660088821186,53.407075111026494,64.08849013323177]
["Herausziehwiderstand N_Rk,p [kN]",85.45132017764237,131.3437056612821,26.703537555513247,32.044245066615886,37.38495257771854,42.725660088821186,53.407075111026494,64.08849013323177]
[]
["Kombinierter Betonausbruch"]
["pi p",3.141592653589793,3.141592653589793,3.141592653589793,3.141592653589793,3.141592653589793,3.141592653589793,3.141592653589793,3.141592653589793]
["y_0sus",0.7407407407407407,0.7407407407407407,0.7407407407407407,0.7407407407407407,0.7407407407407407,0.7407407407407407,0.7407407407407407,0.7407407407407407]
["a_sus",0,0,0,0,0,0,0,0]
["y_sus",1,1,1,1,1,1,1,1,"GL 7.14b"]
["t_Rk [N/mm²]",8.5,8.71,8.5,8.5,8.5,8.5,8.5,8.5]
["t_Rk,ucr [N/mm²]",17,18,17,17,17,17,17,17]
["N^0_Rk,p [kN]",85.45132017764239,131.3437056612821,26.70353755551324,32.04424506661589,37.38495257771854,42.72566008882119,53.40707511102648,64.08849013323179,"GL 7.14"]
["redEinbindetiefe h'_ef [mm]",200,240,100,100,100,100,100,100]
["Kegelradius c_cr,Np [mm]",240.78936853607138,309.7127701597078,150,150,150,150,150,150,"GL 7.16"]
["Kegeldurchmesser s_cr,Np [mm]",481.57873707214276,619.4255403194156,300,300,300,300,300,300,"GL 7.15"]
["Bezugsfläche A^0_p,N [mm²]",231918.08000000002,383688,90000,90000,90000,90000,90000,90000]
["c_1ue [mm]",240.78936853607138,309.7127701597078,100,100,100,100,100,100]
["c_1oe [mm]",240.78936853607138,309.7127701597078,120,120,120,120,120,120]
["c_2le [mm]",240.78936853607138,309.7127701597078,150,150,150,150,150,150]
["c_2re [mm]",240.78936853607138,309.7127701597078,150,150,150,150,150,150]
["vorhandeneFläche A_p,N [mm²]",366015.92174217995,845343.3241916493,83600,83600,83600,83600,83600,83600]
["t_Rk,c [N/mm²]",9.688373330113755,9.492628438547097,10.961143168624528,9.134285973853773,7.829387977588948,6.850714480390329,5.480571584312264,4.5671429869268865,"GL 7.19"]
["y^0_g,Np",1.1782265794214588,1.1210837187838,1.1313552618095963,1.0423866700622044,1,1,1,1,"GL 7.18"]
["Abstand s [mm]",126,300,80,80,80,80,80,80]
["Gruppeneffekt y_g,Np",1.0870624281918972,1.0368178264803245,1.0635236962862256,1.0204982877619235,1,1,1,1,"GL 7.17"]
["c [mm]",240.78936853607138,309.7127701597078,100,100,100,100,100,100]
["Spannungsstörung y_s,Np",1,1,0.8999999999999999,0.8999999999999999,0.8999999999999999,0.8999999999999999,0.8999999999999999,0.8999999999999999,"GL 7.20"]
["Schalenabplatzfaktor y_re,N",1,1,1,1,1,1,1,1,"GL 7.5"]
["Ausmittige Zugkraft y_ec,Np",1,1,1,1,1,1,1,1,"GL 7.21"]
["Betonkombiausbruch N_Rk,p",146.60157397182616,300.0313466926771,23.742270390704455,27.338117278515764,31.253820354972703,35.718651834254516,44.648314792818134,53.577977751381766,"GL 7.13"]
[]
["lokaler Betonausbruch"]
["nur für Kopfbolzendübel","RO2x2x0x1x1"]
[]
["Querlast Stahlbruch"]
["Lastabstand e_1 [mm]",0,0,40,40,40,40,40,40]
["Mörtelbettdicke t_grout",0,0,0,0,0,0,0,0]
["Einspanngrad α_M",2,2,1,1,1,1,1,1]
["Zusatzhebel α_3 [mm]",8,10,5,6,7,8,10,12]
["Hebelarm l_a [mm]",8,10,45,46,47,48,50,52,"GL 6.2"]
["Biegemoment M_Ed [kNm]",0.138,0.1725,0.1485,0.15180000000000002,0.15510000000000002,0.1584,0.165,0.17160000000000003,"GL 6.1"]
["V^0_Rk,s [kN]",50.26548245743669,125.66370614359171,18.84955592153876,27.143360527015812,36.94512960621597,48.25486315913922,75.39822368615503,108.57344210806325,"GL 7.34"]
["k_6",0.5,0.5,0.6,0.6,0.6,0.6,0.6,0.6]
["ohne Hebelarm V_Rk,sV [kN]",50.26548245743669,125.66370614359171,18.84955592153876,27.143360527015812,36.94512960621597,48.25486315913922,75.39822368615503,108.57344210806325,"GL 7.36"]
["istOhneHebelarm?",true,true,false,false,false,false,false,false]
["Normalkraft N_Rd,s",67.02064327658225,167.5516081914556,15.707963267948964,22.61946710584651,30.787608005179973,40.21238596594935,62.831853071795855,90.47786842338604]
["Moment M^0_Rk,s [kNm]",0.32169908772759487,1.005309649148734,0.06283185307179588,0.10857344210806325,0.17241060482900789,0.2573592701820759,0.502654824574367,0.868587536864506]
["Moment M_Rk,s [kNm]",0.15609908772759484,0.798309649148734,0.04963185307179587,0.09273344210806324,0.15393060482900786,0.23623927018207588,0.4762548245743671,0.836907536864506,"GL 7.38"]
["mit Hebelarm V_Rk,sM [kN]",39.02477193189871,159.6619298297468,1.1029300682621306,2.0159443936535486,3.275119251681018,4.92165146212658,9.525096491487341,16.09437570893281]
["Querkraft V_Rk,s [kN]",50.26548245743669,125.66370614359171,1.1029300682621306,2.0159443936535486,3.275119251681018,4.92165146212658,9.525096491487341,16.09437570893281]
["Normalkraft N_Rk,s [kN]",100.53096491487338,251.32741228718342,31.415926535897928,45.23893421169302,61.575216010359945,80.4247719318987,125.66370614359171,180.95573684677208]
[]
["Betonausbruch auf der lastabgewanten Seite"]
["Betonausbruch V_Rk,cp",283.5043762437415,574.5699893543573,47.48454078140891,54.67623455703153,57.57606713904662,57.57606713904662,57.57606713904662,57.57606713904662,"GL 7.39c"]
["k_8",2,2,2,2,2,2,2,2]
[]
["Betonkantenbruch in Lastrichtung"]
["k_9",1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7]
["c_1",2000,2400,100,100,100,100,100,100]
["1,5c_1",3000,3600,150,150,150,150,150,150]
["l_f",192,240,100,100,100,100,100,100]
["a",0.030983866769659335,0.0316227766016838,0.1,0.1,0.1,0.1,0.1,0.1,"GL 7.42"]
["b",0.038073078774317565,0.03838519496373775,0.06309573444801933,0.06543893899412373,0.06748785222959512,0.06931448431551464,0.07247796636776956,0.07516960157530127,"GL 7.43"]
["V^0_Rk,c",905.210355042606,1355.9473971173627,12.798391414441857,13.175282069874658,13.506798696226934,13.803997949475791,14.32263259476492,14.768087148892917,"GL 7.41"]
["projizierte Seitenfläche A^0_c,V",18000000,25920000,45000,45000,45000,45000,45000,45000,"GL 7.44"]
["c_2le [mm]",3000,850,150,150,150,150,150,150]
["c_2re [mm]",3000,3600,150,150,150,150,150,150]
["c_1h [mm]",3000,300,150,150,150,150,150,150]
["A_c,V",18210000,1425000,57000,57000,57000,57000,57000,57000]
["y_s,V",1,0.7708333333333333,1,1,1,1,1,1,"GL 7.45"]
["y_h,V",1,3.4641016151377544,1,1,1,1,1,1,"GL 7.46"]
["y_ec,V",1,1,1,1,1,1,1,1,"GL 7.47"]
["y_a,V (1=Kraftrichtung; 2istQuer)",1,1,1,1,1,1,1,1,"GL 7.48"]
["y_re,V",1,1,1,1,1,1,1,1]
["Betonkantenbruch V_Rk,c [kN]",915.771142518103,199.05533351312036,16.211295791626352,16.688690621841232,17.10861168188745,17.485064069336005,18.142001286702232,18.706243721931028,"GL 7.40"]
[]
["Betonkantenbruch quer zur Lastrichtung"]
["c_2l",2000,850,1000,1000,1000,1000,1200,1440]
["c_2r",2000,2400,1000,1000,1000,1000,1200,1440]
["c_2",2000,850,1000,1000,1000,1000,1200,1440]
["1,5c_2",3000,1275,1500,1500,1500,1500,1800,2160]
["a",0.030983866769659335,0.053136893132405716,0.0316227766016838,0.0316227766016838,0.0316227766016838,0.0316227766016838,0.028867513459481287,0.026352313834736497,"GL 7.42"]
["b",0.038073078774317565,0.04724134066532129,0.03981071705534973,0.041289179173333676,0.04258195602745702,0.04373448295773112,0.04409301031108603,0.04409301031108603,"GL 7.43"]
["V^0_Rk,c",905.210355042606,319.9811362556269,310.60477640745535,314.5350045351722,317.9593365318374,321.00404301677,422.16216638151053,553.4334921037287,"GL 7.41"]
["projizierte Seitenfläche A^0_c,V",18000000,3251250,4500000,4500000,4500000,4500000,6480000,9331200,"GL 7.44"]
["c_1oe [mm]",3000,1275,100,100,100,100,100,100]
["c_1ue [mm]",3000,1275,120,120,120,120,120,120]
["c_2h [mm]",3000,300,220,220,220,220,220,220]
["A_c,V",18210000,855000,66000,66000,66000,66000,66000,66000]
["y_s,V",1,1,0.72,0.72,0.72,0.72,0.7166666666666667,0.7138888888888888,"GL 7.45"]
["y_h,V",1,2.0615528128088303,2.6111648393354674,2.6111648393354674,2.6111648393354674,2.6111648393354674,2.860387767736777,3.1333978072025612,"GL 7.46"]
["y_ec,V",1,1,1,1,1,1,1,1,"GL 7.47"]
["y_a,V (1=Kraftrichtung; 2istQuer)",2,2,2,2,2,2,2,2,"GL 7.48"]
["y_re,V",1,1,1,1,1,1,1,1]
["Betonkantenbruch V_Rk,c [kN]",1831.542285036206,346.94815829418707,17.129170525311014,17.345913965581627,17.534758346484548,17.702667215057502,17.628702652717724,17.512495179250685,"GL 7.40"]
[]
["Nachweise"]
["Querkraft V_Ed [kN]",6.75,6.75,2.0250000000000004,2.0250000000000004,2.0250000000000004,2.0250000000000004,2.0250000000000004,2.0250000000000004]
["Zugkraft N_Ed [kN]",34.5,34.5,3.3000000000000003,3.3000000000000003,3.3000000000000003,3.3000000000000003,3.3000000000000003,3.3000000000000003]
[]
["Stahlbruch N_Rd,s [kN]",67.02064327658225,167.5516081914556,15.707963267948964,22.61946710584651,30.787608005179973,40.21238596594935,62.831853071795855,90.47786842338604]
["Betonkegelausbruch N_Rd,c",94.50145874791383,191.52332978478577,19.192022379682207,19.192022379682207,19.192022379682207,19.192022379682207,19.192022379682207,19.192022379682207]
["Herausziehwiderstand N_Rd,p [kN]",56.96754678509492,87.56247044085472,17.802358370342166,21.36283004441059,24.923301718479028,28.48377339254746,35.60471674068433,42.72566008882118]
["Betonkombiausbruch N_Rd,p",97.7343826478841,200.0208977951181,15.828180260469637,18.22541151901051,20.835880236648467,23.812434556169677,29.76554319521209,35.71865183425451]
["Stahlbruch V_Rd,s [kN]",40.21238596594935,100.53096491487337,0.6617580409572783,1.2095666361921291,1.9650715510086108,2.952990877275948,5.7150578948924045,9.656625425359685]
["Betonausbruch V_Rd,cp",189.00291749582766,383.04665956957155,31.656360520939273,36.45082303802102,38.384044759364414,38.384044759364414,38.384044759364414,38.384044759364414]
["Betonkantenbruch V_Rd,c [kN]",610.5140950120687,132.70355567541358,10.8075305277509,11.125793747894155,11.4057411212583,11.656709379557336,11.752468435145149,11.674996786167123]
[]
["Interaktionsnachweis"]
["Stahlbruch A_s",0.5414437915860505,0.21657751663442018,3.067233952661404,1.680498088168691,1.0360562471026136,0.6906383563568563,0.3581985156730647,0.21284880927773803,"GL 7.54"]
["Betonbruch A_c",0.6113760877486212,0.40609611701066517,0.3144164855700124,0.2881735878631856,0.2774070723977972,0.27435720142433473,0.27323201311016837,0.2741407171752134,"GL 7.55"]