[{"data":1,"prerenderedAt":8520},["ShallowReactive",2],{"kb-cs-\u002Fkb\u002Fanalysis\u002Fverification":3,"kb-nav-cs":8140},{"page":4,"fallback":8130},{"id":5,"title":6,"body":7,"description":8128,"extension":8129,"faq":8130,"meta":8131,"navigation":8132,"ogImage":8133,"order":8134,"path":8135,"raw":8130,"robots":8133,"schemaOrg":8133,"seo":8136,"sitemap":8137,"stem":8138,"__hash__":8139},"content_cs\u002Fcs\u002Fkb\u002Fanalysis\u002Fverification.md","Ověření řešiče",{"type":8,"value":9,"toc":8111},"minimark",[10,14,23,28,225,228,621,625,632,1515,1519,1727,2407,2432,2437,2617,2621,2784,3537,3640,3647,3651,3654,3878,4014,4159,4162,4170,4331,4667,4749,4753,4760,4764,4767,5114,5186,5450,5609,6368,6375,6379,6434,6609,6646,7008,7142,7145,7194,7201,7204,7248,7252,7550,7925,7928,7956,7963,7967,8039,8043,8056,8060,8063,8103],[11,12,13],"p",{},"Neberte to jako hotovou věc. Každý typ prvku v Elementariu je před každým sloučením\nkódu porovnán s analytickými řešeními, ale to je minimum na straně vývoje, ne váš důkaz.\nJediný test řešiče, který pro vás něco znamená, je ten, který jste spustili sami, na\núloze, jejíž výsledek předem znáte.",[11,15,16,17,22],{},"Každá úloha níže je tak malá, že ji postavíte za několik minut, a je u ní vzorec pro\nporovnání i velikost neshody, kterou lze čekat od diskretizace. Všechny úlohy s nosníky,\nrámy, sloupy a frekvencemi se vejdou do 500 stupňů volnosti tarifu Free; ze sítí desek\nse vejde 4 × 4, síť 8 × 8 je po podepření okrajů těsně pod limitem a 16 × 16 potřebuje\nstudentský účet nebo tarif Pro. Stránka zároveň slouží jako průvodce tím, co který prvek\npředpokládá; formální verzi najdete ve ",[18,19,21],"a",{"href":20},"\u002Fcs\u002Fkb\u002Ftheory\u002Felement-formulations","Formulacích prvků",".",[24,25,27],"h2",{"id":26},"jak-srovnávací-úlohu-provést","Jak srovnávací úlohu provést",[29,30,31],"steps",{},[32,33,34,207,213,219],"ol",{},[35,36,37,41,42,111,112,158,159,206],"li",{},[38,39,40],"strong",{},"Postavte úlohu s kulatými čísly:"," ",[43,44,47],"span",{"className":45},[46],"katex",[43,48,52,81],{"className":49,"ariaHidden":51},[50],"katex-html","true",[43,53,56,61,68,73,78],{"className":54},[55],"base",[43,57],{"className":58,"style":60},[59],"strut","height:0.6833em;",[43,62,67],{"className":63,"style":66},[64,65],"mord","mathnormal","margin-right:0.0576em;","E",[43,69],{"className":70,"style":72},[71],"mspace","margin-right:0.2778em;",[43,74,77],{"className":75},[76],"mrel","=",[43,79],{"className":80,"style":72},[71],[43,82,84,87,91,95,99,103],{"className":83},[55],[43,85],{"className":86,"style":60},[59],[43,88,90],{"className":89},[64],"210",[43,92],{"className":93,"style":94},[71],"margin-right:0.1667em;",[43,96,98],{"className":97},[64],"000",[43,100,102],{"className":101},[71]," ",[43,104,107],{"className":105},[64,106],"text",[43,108,110],{"className":109},[64],"MPa",", ",[43,113,115],{"className":114},[46],[43,116,118,137],{"className":117,"ariaHidden":51},[50],[43,119,121,124,128,131,134],{"className":120},[55],[43,122],{"className":123,"style":60},[59],[43,125,127],{"className":126},[64,65],"L",[43,129],{"className":130,"style":72},[71],[43,132,77],{"className":133},[76],[43,135],{"className":136,"style":72},[71],[43,138,140,144,148,151],{"className":139},[55],[43,141],{"className":142,"style":143},[59],"height:0.6444em;",[43,145,147],{"className":146},[64],"10",[43,149,102],{"className":150},[71],[43,152,154],{"className":153},[64,106],[43,155,157],{"className":156},[64],"m",",\n",[43,160,162],{"className":161},[46],[43,163,165,186],{"className":164,"ariaHidden":51},[50],[43,166,168,172,177,180,183],{"className":167},[55],[43,169],{"className":170,"style":171},[59],"height:0.4306em;",[43,173,176],{"className":174,"style":175},[64,65],"margin-right:0.0269em;","w",[43,178],{"className":179,"style":72},[71],[43,181,77],{"className":182},[76],[43,184],{"className":185,"style":72},[71],[43,187,189,193,196,199],{"className":188},[55],[43,190],{"className":191,"style":192},[59],"height:1em;vertical-align:-0.25em;",[43,194,147],{"className":195},[64],[43,197,102],{"className":198},[71],[43,200,202],{"className":201},[64,106],[43,203,205],{"className":204},[64],"kN\u002Fm",". Na kulatých číslech je chybný násobek tisíce vidět na první\npohled.",[35,208,209,212],{},[38,210,211],{},"Spočítejte a veličinu odečtěte z tabulky",", ne z diagramu, abyste dostali všechny\nplatné číslice.",[35,214,215,218],{},[38,216,217],{},"Analytické řešení spočítejte ručně a porovnejte."," Zapište si procentní rozdíl.",[35,220,221,224],{},[38,222,223],{},"Je-li rozdíl větší, než tato stránka uvádí, zjemněte síť a opakujte",", než cokoli\nuzavřete. Tabulky níže říkají, které úlohy jsou přesné a které konvergují.",[11,226,227],{},"Projekt si nechte. Sada srovnávacích úloh, kterou můžete spustit znovu po každém vydání,\nmá větší cenu než jakékoli poznámky k vydání.",[11,229,230,231,111,305,111,354,111,411,111,429,111,451,482,483,514,515,620],{},"Pro úplnost: vlastní testovací sada řešiče spouští při každé změně kódu nosníkové úlohy\nuvedené níže – ",[43,232,234],{"className":233},[46],[43,235,237],{"className":236,"ariaHidden":51},[50],[43,238,240,244,248,251,293,297,300],{"className":239},[55],[43,241],{"className":242,"style":243},[59],"height:1.0641em;vertical-align:-0.25em;",[43,245,247],{"className":246},[64],"5",[43,249,176],{"className":250,"style":175},[64,65],[43,252,254,257],{"className":253},[64],[43,255,127],{"className":256},[64,65],[43,258,261],{"className":259},[260],"msupsub",[43,262,265],{"className":263},[264],"vlist-t",[43,266,269],{"className":267},[268],"vlist-r",[43,270,274],{"className":271,"style":273},[272],"vlist","height:0.8141em;",[43,275,277,282],{"style":276},"top:-3.063em;margin-right:0.05em;",[43,278],{"className":279,"style":281},[280],"pstrut","height:2.7em;",[43,283,289],{"className":284},[285,286,287,288],"sizing","reset-size6","size3","mtight",[43,290,292],{"className":291},[64,288],"4",[43,294,296],{"className":295},[64],"\u002F384",[43,298,67],{"className":299,"style":66},[64,65],[43,301,304],{"className":302,"style":303},[64,65],"margin-right:0.0785em;","I",[43,306,308],{"className":307},[46],[43,309,311],{"className":310,"ariaHidden":51},[50],[43,312,314,317,320,350],{"className":313},[55],[43,315],{"className":316,"style":243},[59],[43,318,176],{"className":319,"style":175},[64,65],[43,321,323,326],{"className":322},[64],[43,324,127],{"className":325},[64,65],[43,327,329],{"className":328},[260],[43,330,332],{"className":331},[264],[43,333,335],{"className":334},[268],[43,336,338],{"className":337,"style":273},[272],[43,339,340,343],{"style":276},[43,341],{"className":342,"style":281},[280],[43,344,346],{"className":345},[285,286,287,288],[43,347,349],{"className":348},[64,288],"2",[43,351,353],{"className":352},[64],"\u002F8",[43,355,357],{"className":356},[46],[43,358,360],{"className":359,"ariaHidden":51},[50],[43,361,363,366,371,401,405,408],{"className":362},[55],[43,364],{"className":365,"style":243},[59],[43,367,370],{"className":368,"style":369},[64,65],"margin-right:0.1389em;","P",[43,372,374,377],{"className":373},[64],[43,375,127],{"className":376},[64,65],[43,378,380],{"className":379},[260],[43,381,383],{"className":382},[264],[43,384,386],{"className":385},[268],[43,387,389],{"className":388,"style":273},[272],[43,390,391,394],{"style":276},[43,392],{"className":393,"style":281},[280],[43,395,397],{"className":396},[285,286,287,288],[43,398,400],{"className":399},[64,288],"3",[43,402,404],{"className":403},[64],"\u002F3",[43,406,67],{"className":407,"style":66},[64,65],[43,409,304],{"className":410,"style":303},[64,65],[43,412,414],{"className":413},[46],[43,415,417],{"className":416,"ariaHidden":51},[50],[43,418,420,423,426],{"className":419},[55],[43,421],{"className":422,"style":60},[59],[43,424,370],{"className":425,"style":369},[64,65],[43,427,127],{"className":428},[64,65],[43,430,432],{"className":431},[46],[43,433,435],{"className":434,"ariaHidden":51},[50],[43,436,438,441,444,447],{"className":437},[55],[43,439],{"className":440,"style":192},[59],[43,442,370],{"className":443,"style":369},[64,65],[43,445,127],{"className":446},[64,65],[43,448,450],{"className":449},[64],"\u002F4",[43,452,454],{"className":453},[46],[43,455,457],{"className":456,"ariaHidden":51},[50],[43,458,460,463,468,471,475,478],{"className":459},[55],[43,461],{"className":462,"style":192},[59],[43,464,467],{"className":465,"style":466},[64,65],"margin-right:0.109em;","N",[43,469,127],{"className":470},[64,65],[43,472,474],{"className":473},[64],"\u002F",[43,476,67],{"className":477,"style":66},[64,65],[43,479,481],{"className":480},[64,65],"A"," a ",[43,484,486],{"className":485},[46],[43,487,489],{"className":488,"ariaHidden":51},[50],[43,490,492,495,499,502,505,509],{"className":491},[55],[43,493],{"className":494,"style":192},[59],[43,496,498],{"className":497,"style":369},[64,65],"T",[43,500,127],{"className":501},[64,65],[43,503,474],{"className":504},[64],[43,506,508],{"className":507},[64,65],"G",[43,510,513],{"className":511,"style":512},[64,65],"margin-right:0.0962em;","J",",\nkaždou na devět desetinných míst – a řešič stability ve WebAssembly vede k Eulerově síle\na zesilovacímu součiniteli II. řádu ",[43,516,518],{"className":517},[46],[43,519,521,552],{"className":520,"ariaHidden":51},[50],[43,522,524,527,531,536,540,544,549],{"className":523},[55],[43,525],{"className":526,"style":192},[59],[43,528,530],{"className":529},[64],"1\u002F",[43,532,535],{"className":533},[534],"mopen","(",[43,537,539],{"className":538},[64],"1",[43,541],{"className":542,"style":543},[71],"margin-right:0.2222em;",[43,545,548],{"className":546},[547],"mbin","−",[43,550],{"className":551,"style":543},[71],[43,553,555,558,561,564,615],{"className":554},[55],[43,556],{"className":557,"style":192},[59],[43,559,467],{"className":560,"style":466},[64,65],[43,562,474],{"className":563},[64],[43,565,567,570],{"className":566},[64],[43,568,467],{"className":569,"style":466},[64,65],[43,571,573],{"className":572},[260],[43,574,577,606],{"className":575},[264,576],"vlist-t2",[43,578,580,601],{"className":579},[268],[43,581,584],{"className":582,"style":583},[272],"height:0.1514em;",[43,585,587,590],{"style":586},"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;",[43,588],{"className":589,"style":281},[280],[43,591,593],{"className":592},[285,286,287,288],[43,594,596],{"className":595},[64,288],[43,597,600],{"className":598,"style":599},[64,65,288],"margin-right:0.0278em;","cr",[43,602,605],{"className":603},[604],"vlist-s","​",[43,607,609],{"className":608},[268],[43,610,613],{"className":611,"style":612},[272],"height:0.15em;",[43,614],{},[43,616,619],{"className":617},[618],"mclose",")",". To je minimum zmíněné výše;\núlohy na této stránce jsou způsob, jak ho na vlastním počítači zvednout.",[24,622,624],{"id":623},"nosníky-v-lineární-statice-přesné","Nosníky: v lineární statice přesné",[11,626,627,628,631],{},"Nosníkový prvek používá kubickou interpolaci, což je přesné řešení prizmatického prutu\npři zatížení na koncích a rovnoměrném zatížení. Tyto úlohy by měly souhlasit až na\nzaokrouhlení s ",[38,629,630],{},"jedním prvkem na prut"," a bez zjemnění:",[633,634,635,651],"table",{},[636,637,638],"thead",{},[639,640,641,645,648],"tr",{},[642,643,644],"th",{},"Úloha",[642,646,647],{},"Veličina",[642,649,650],{},"Analytické řešení",[652,653,654,727,792,823,867,929,1000,1061,1134,1190,1251,1322,1355,1407,1453],"tbody",{},[639,655,656,675,678],{},[657,658,659,660],"td",{},"Prostý nosník, rovnoměrné zatížení ",[43,661,663],{"className":662},[46],[43,664,666],{"className":665,"ariaHidden":51},[50],[43,667,669,672],{"className":668},[55],[43,670],{"className":671,"style":171},[59],[43,673,176],{"className":674,"style":175},[64,65],[657,676,677],{},"Moment uprostřed rozpětí",[657,679,680],{},[43,681,683],{"className":682},[46],[43,684,686],{"className":685,"ariaHidden":51},[50],[43,687,689,692,695,724],{"className":688},[55],[43,690],{"className":691,"style":243},[59],[43,693,176],{"className":694,"style":175},[64,65],[43,696,698,701],{"className":697},[64],[43,699,127],{"className":700},[64,65],[43,702,704],{"className":703},[260],[43,705,707],{"className":706},[264],[43,708,710],{"className":709},[268],[43,711,713],{"className":712,"style":273},[272],[43,714,715,718],{"style":276},[43,716],{"className":717,"style":281},[280],[43,719,721],{"className":720},[285,286,287,288],[43,722,349],{"className":723},[64,288],[43,725,353],{"className":726},[64],[639,728,729,731,734],{},[657,730],{},[657,732,733],{},"Průhyb uprostřed rozpětí",[657,735,736],{},[43,737,739],{"className":738},[46],[43,740,742],{"className":741,"ariaHidden":51},[50],[43,743,745,748,751,754,783,786,789],{"className":744},[55],[43,746],{"className":747,"style":243},[59],[43,749,247],{"className":750},[64],[43,752,176],{"className":753,"style":175},[64,65],[43,755,757,760],{"className":756},[64],[43,758,127],{"className":759},[64,65],[43,761,763],{"className":762},[260],[43,764,766],{"className":765},[264],[43,767,769],{"className":768},[268],[43,770,772],{"className":771,"style":273},[272],[43,773,774,777],{"style":276},[43,775],{"className":776,"style":281},[280],[43,778,780],{"className":779},[285,286,287,288],[43,781,292],{"className":782},[64,288],[43,784,296],{"className":785},[64],[43,787,67],{"className":788,"style":66},[64,65],[43,790,304],{"className":791,"style":303},[64,65],[639,793,794,796,799],{},[657,795],{},[657,797,798],{},"Posouvající síla u podpory",[657,800,801],{},[43,802,804],{"className":803},[46],[43,805,807],{"className":806,"ariaHidden":51},[50],[43,808,810,813,816,819],{"className":809},[55],[43,811],{"className":812,"style":192},[59],[43,814,176],{"className":815,"style":175},[64,65],[43,817,127],{"className":818},[64,65],[43,820,822],{"className":821},[64],"\u002F2",[639,824,825,844,847],{},[657,826,827,828,843],{},"Konzola, síla ",[43,829,831],{"className":830},[46],[43,832,834],{"className":833,"ariaHidden":51},[50],[43,835,837,840],{"className":836},[55],[43,838],{"className":839,"style":60},[59],[43,841,370],{"className":842,"style":369},[64,65]," na konci",[657,845,846],{},"Moment ve vetknutí",[657,848,849],{},[43,850,852],{"className":851},[46],[43,853,855],{"className":854,"ariaHidden":51},[50],[43,856,858,861,864],{"className":857},[55],[43,859],{"className":860,"style":60},[59],[43,862,370],{"className":863,"style":369},[64,65],[43,865,127],{"className":866},[64,65],[639,868,869,871,874],{},[657,870],{},[657,872,873],{},"Průhyb konce",[657,875,876],{},[43,877,879],{"className":878},[46],[43,880,882],{"className":881,"ariaHidden":51},[50],[43,883,885,888,891,920,923,926],{"className":884},[55],[43,886],{"className":887,"style":243},[59],[43,889,370],{"className":890,"style":369},[64,65],[43,892,894,897],{"className":893},[64],[43,895,127],{"className":896},[64,65],[43,898,900],{"className":899},[260],[43,901,903],{"className":902},[264],[43,904,906],{"className":905},[268],[43,907,909],{"className":908,"style":273},[272],[43,910,911,914],{"style":276},[43,912],{"className":913,"style":281},[280],[43,915,917],{"className":916},[285,286,287,288],[43,918,400],{"className":919},[64,288],[43,921,404],{"className":922},[64],[43,924,67],{"className":925,"style":66},[64,65],[43,927,304],{"className":928,"style":303},[64,65],[639,930,931,949,951],{},[657,932,933,934],{},"Konzola, rovnoměrné zatížení ",[43,935,937],{"className":936},[46],[43,938,940],{"className":939,"ariaHidden":51},[50],[43,941,943,946],{"className":942},[55],[43,944],{"className":945,"style":171},[59],[43,947,176],{"className":948,"style":175},[64,65],[657,950,846],{},[657,952,953],{},[43,954,956],{"className":955},[46],[43,957,959],{"className":958,"ariaHidden":51},[50],[43,960,962,965,968,997],{"className":961},[55],[43,963],{"className":964,"style":243},[59],[43,966,176],{"className":967,"style":175},[64,65],[43,969,971,974],{"className":970},[64],[43,972,127],{"className":973},[64,65],[43,975,977],{"className":976},[260],[43,978,980],{"className":979},[264],[43,981,983],{"className":982},[268],[43,984,986],{"className":985,"style":273},[272],[43,987,988,991],{"style":276},[43,989],{"className":990,"style":281},[280],[43,992,994],{"className":993},[285,286,287,288],[43,995,349],{"className":996},[64,288],[43,998,822],{"className":999},[64],[639,1001,1002,1004,1006],{},[657,1003],{},[657,1005,873],{},[657,1007,1008],{},[43,1009,1011],{"className":1010},[46],[43,1012,1014],{"className":1013,"ariaHidden":51},[50],[43,1015,1017,1020,1023,1052,1055,1058],{"className":1016},[55],[43,1018],{"className":1019,"style":243},[59],[43,1021,176],{"className":1022,"style":175},[64,65],[43,1024,1026,1029],{"className":1025},[64],[43,1027,127],{"className":1028},[64,65],[43,1030,1032],{"className":1031},[260],[43,1033,1035],{"className":1034},[264],[43,1036,1038],{"className":1037},[268],[43,1039,1041],{"className":1040,"style":273},[272],[43,1042,1043,1046],{"style":276},[43,1044],{"className":1045,"style":281},[280],[43,1047,1049],{"className":1048},[285,286,287,288],[43,1050,292],{"className":1051},[64,288],[43,1053,353],{"className":1054},[64],[43,1056,67],{"className":1057,"style":66},[64,65],[43,1059,304],{"className":1060,"style":303},[64,65],[639,1062,1063,1081,1084],{},[657,1064,1065,1066],{},"Oboustranně vetknutý, rovnoměrné zatížení ",[43,1067,1069],{"className":1068},[46],[43,1070,1072],{"className":1071,"ariaHidden":51},[50],[43,1073,1075,1078],{"className":1074},[55],[43,1076],{"className":1077,"style":171},[59],[43,1079,176],{"className":1080,"style":175},[64,65],[657,1082,1083],{},"Podporový moment",[657,1085,1086],{},[43,1087,1089],{"className":1088},[46],[43,1090,1092],{"className":1091,"ariaHidden":51},[50],[43,1093,1095,1098,1101,1130],{"className":1094},[55],[43,1096],{"className":1097,"style":243},[59],[43,1099,176],{"className":1100,"style":175},[64,65],[43,1102,1104,1107],{"className":1103},[64],[43,1105,127],{"className":1106},[64,65],[43,1108,1110],{"className":1109},[260],[43,1111,1113],{"className":1112},[264],[43,1114,1116],{"className":1115},[268],[43,1117,1119],{"className":1118,"style":273},[272],[43,1120,1121,1124],{"style":276},[43,1122],{"className":1123,"style":281},[280],[43,1125,1127],{"className":1126},[285,286,287,288],[43,1128,349],{"className":1129},[64,288],[43,1131,1133],{"className":1132},[64],"\u002F12",[639,1135,1136,1138,1140],{},[657,1137],{},[657,1139,677],{},[657,1141,1142],{},[43,1143,1145],{"className":1144},[46],[43,1146,1148],{"className":1147,"ariaHidden":51},[50],[43,1149,1151,1154,1157,1186],{"className":1150},[55],[43,1152],{"className":1153,"style":243},[59],[43,1155,176],{"className":1156,"style":175},[64,65],[43,1158,1160,1163],{"className":1159},[64],[43,1161,127],{"className":1162},[64,65],[43,1164,1166],{"className":1165},[260],[43,1167,1169],{"className":1168},[264],[43,1170,1172],{"className":1171},[268],[43,1173,1175],{"className":1174,"style":273},[272],[43,1176,1177,1180],{"style":276},[43,1178],{"className":1179,"style":281},[280],[43,1181,1183],{"className":1182},[285,286,287,288],[43,1184,349],{"className":1185},[64,288],[43,1187,1189],{"className":1188},[64],"\u002F24",[639,1191,1192,1194,1196],{},[657,1193],{},[657,1195,733],{},[657,1197,1198],{},[43,1199,1201],{"className":1200},[46],[43,1202,1204],{"className":1203,"ariaHidden":51},[50],[43,1205,1207,1210,1213,1242,1245,1248],{"className":1206},[55],[43,1208],{"className":1209,"style":243},[59],[43,1211,176],{"className":1212,"style":175},[64,65],[43,1214,1216,1219],{"className":1215},[64],[43,1217,127],{"className":1218},[64,65],[43,1220,1222],{"className":1221},[260],[43,1223,1225],{"className":1224},[264],[43,1226,1228],{"className":1227},[268],[43,1229,1231],{"className":1230,"style":273},[272],[43,1232,1233,1236],{"style":276},[43,1234],{"className":1235,"style":281},[280],[43,1237,1239],{"className":1238},[285,286,287,288],[43,1240,292],{"className":1241},[64,288],[43,1243,296],{"className":1244},[64],[43,1246,67],{"className":1247,"style":66},[64,65],[43,1249,304],{"className":1250,"style":303},[64,65],[639,1252,1253,1271,1273],{},[657,1254,1255,1256],{},"Jednostranně vetknutý nosník, rovnoměrné zatížení ",[43,1257,1259],{"className":1258},[46],[43,1260,1262],{"className":1261,"ariaHidden":51},[50],[43,1263,1265,1268],{"className":1264},[55],[43,1266],{"className":1267,"style":171},[59],[43,1269,176],{"className":1270,"style":175},[64,65],[657,1272,846],{},[657,1274,1275],{},[43,1276,1278],{"className":1277},[46],[43,1279,1281],{"className":1280,"ariaHidden":51},[50],[43,1282,1284,1287,1290,1319],{"className":1283},[55],[43,1285],{"className":1286,"style":243},[59],[43,1288,176],{"className":1289,"style":175},[64,65],[43,1291,1293,1296],{"className":1292},[64],[43,1294,127],{"className":1295},[64,65],[43,1297,1299],{"className":1298},[260],[43,1300,1302],{"className":1301},[264],[43,1303,1305],{"className":1304},[268],[43,1306,1308],{"className":1307,"style":273},[272],[43,1309,1310,1313],{"style":276},[43,1311],{"className":1312,"style":281},[280],[43,1314,1316],{"className":1315},[285,286,287,288],[43,1317,349],{"className":1318},[64,288],[43,1320,353],{"className":1321},[64],[639,1323,1324,1326,1329],{},[657,1325],{},[657,1327,1328],{},"Reakce v kloubové podpoře",[657,1330,1331],{},[43,1332,1334],{"className":1333},[46],[43,1335,1337],{"className":1336,"ariaHidden":51},[50],[43,1338,1340,1343,1346,1349,1352],{"className":1339},[55],[43,1341],{"className":1342,"style":192},[59],[43,1344,400],{"className":1345},[64],[43,1347,176],{"className":1348,"style":175},[64,65],[43,1350,127],{"className":1351},[64,65],[43,1353,353],{"className":1354},[64],[639,1356,1357,1375,1378],{},[657,1358,1359,1360],{},"Tažený prut, síla ",[43,1361,1363],{"className":1362},[46],[43,1364,1366],{"className":1365,"ariaHidden":51},[50],[43,1367,1369,1372],{"className":1368},[55],[43,1370],{"className":1371,"style":60},[59],[43,1373,467],{"className":1374,"style":466},[64,65],[657,1376,1377],{},"Prodloužení",[657,1379,1380],{},[43,1381,1383],{"className":1382},[46],[43,1384,1386],{"className":1385,"ariaHidden":51},[50],[43,1387,1389,1392,1395,1398,1401,1404],{"className":1388},[55],[43,1390],{"className":1391,"style":192},[59],[43,1393,467],{"className":1394,"style":466},[64,65],[43,1396,127],{"className":1397},[64,65],[43,1399,474],{"className":1400},[64],[43,1402,67],{"className":1403,"style":66},[64,65],[43,1405,481],{"className":1406},[64,65],[639,1408,1409,1428,1430],{},[657,1410,1411,1412,1427],{},"Prostý nosník, osamělá síla ",[43,1413,1415],{"className":1414},[46],[43,1416,1418],{"className":1417,"ariaHidden":51},[50],[43,1419,1421,1424],{"className":1420},[55],[43,1422],{"className":1423,"style":60},[59],[43,1425,370],{"className":1426,"style":369},[64,65]," uprostřed rozpětí",[657,1429,677],{},[657,1431,1432],{},[43,1433,1435],{"className":1434},[46],[43,1436,1438],{"className":1437,"ariaHidden":51},[50],[43,1439,1441,1444,1447,1450],{"className":1440},[55],[43,1442],{"className":1443,"style":192},[59],[43,1445,370],{"className":1446,"style":369},[64,65],[43,1448,127],{"className":1449},[64,65],[43,1451,450],{"className":1452},[64],[639,1454,1455,1457,1459],{},[657,1456],{},[657,1458,733],{},[657,1460,1461],{},[43,1462,1464],{"className":1463},[46],[43,1465,1467],{"className":1466,"ariaHidden":51},[50],[43,1468,1470,1473,1476,1505,1509,1512],{"className":1469},[55],[43,1471],{"className":1472,"style":243},[59],[43,1474,370],{"className":1475,"style":369},[64,65],[43,1477,1479,1482],{"className":1478},[64],[43,1480,127],{"className":1481},[64,65],[43,1483,1485],{"className":1484},[260],[43,1486,1488],{"className":1487},[264],[43,1489,1491],{"className":1490},[268],[43,1492,1494],{"className":1493,"style":273},[272],[43,1495,1496,1499],{"style":276},[43,1497],{"className":1498,"style":281},[280],[43,1500,1502],{"className":1501},[285,286,287,288],[43,1503,400],{"className":1504},[64,288],[43,1506,1508],{"className":1507},[64],"\u002F48",[43,1510,67],{"className":1511,"style":66},[64,65],[43,1513,304],{"className":1514,"style":303},[64,65],[1516,1517],"diagram-beam",{"case":1518},"ss-udl",[11,1520,1521,1522,111,1564,1606,1607,1726],{},"Příklad: ",[43,1523,1525],{"className":1524},[46],[43,1526,1528,1546],{"className":1527,"ariaHidden":51},[50],[43,1529,1531,1534,1537,1540,1543],{"className":1530},[55],[43,1532],{"className":1533,"style":171},[59],[43,1535,176],{"className":1536,"style":175},[64,65],[43,1538],{"className":1539,"style":72},[71],[43,1541,77],{"className":1542},[76],[43,1544],{"className":1545,"style":72},[71],[43,1547,1549,1552,1555,1558],{"className":1548},[55],[43,1550],{"className":1551,"style":192},[59],[43,1553,147],{"className":1554},[64],[43,1556,102],{"className":1557},[71],[43,1559,1561],{"className":1560},[64,106],[43,1562,205],{"className":1563},[64],[43,1565,1567],{"className":1566},[46],[43,1568,1570,1588],{"className":1569,"ariaHidden":51},[50],[43,1571,1573,1576,1579,1582,1585],{"className":1572},[55],[43,1574],{"className":1575,"style":60},[59],[43,1577,127],{"className":1578},[64,65],[43,1580],{"className":1581,"style":72},[71],[43,1583,77],{"className":1584},[76],[43,1586],{"className":1587,"style":72},[71],[43,1589,1591,1594,1597,1600],{"className":1590},[55],[43,1592],{"className":1593,"style":143},[59],[43,1595,147],{"className":1596},[64],[43,1598,102],{"className":1599},[71],[43,1601,1603],{"className":1602},[64,106],[43,1604,157],{"className":1605},[64],", IPE 400 (",[43,1608,1610],{"className":1609},[46],[43,1611,1613,1673],{"className":1612,"ariaHidden":51},[50],[43,1614,1616,1620,1664,1667,1670],{"className":1615},[55],[43,1617],{"className":1618,"style":1619},[59],"height:0.9694em;vertical-align:-0.2861em;",[43,1621,1623,1626],{"className":1622},[64],[43,1624,304],{"className":1625,"style":303},[64,65],[43,1627,1629],{"className":1628},[260],[43,1630,1632,1655],{"className":1631},[264,576],[43,1633,1635,1652],{"className":1634},[268],[43,1636,1638],{"className":1637,"style":583},[272],[43,1639,1641,1644],{"style":1640},"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;",[43,1642],{"className":1643,"style":281},[280],[43,1645,1647],{"className":1646},[285,286,287,288],[43,1648,1651],{"className":1649,"style":1650},[64,65,288],"margin-right:0.0359em;","y",[43,1653,605],{"className":1654},[604],[43,1656,1658],{"className":1657},[268],[43,1659,1662],{"className":1660,"style":1661},[272],"height:0.2861em;",[43,1663],{},[43,1665],{"className":1666,"style":72},[71],[43,1668,77],{"className":1669},[76],[43,1671],{"className":1672,"style":72},[71],[43,1674,1676,1679,1683,1686,1690,1693],{"className":1675},[55],[43,1677],{"className":1678,"style":273},[59],[43,1680,1682],{"className":1681},[64],"23",[43,1684],{"className":1685,"style":94},[71],[43,1687,1689],{"className":1688},[64],"130",[43,1691,102],{"className":1692},[71],[43,1694,1696,1703],{"className":1695},[64],[43,1697,1699],{"className":1698},[64,106],[43,1700,1702],{"className":1701},[64],"cm",[43,1704,1706],{"className":1705},[260],[43,1707,1709],{"className":1708},[264],[43,1710,1712],{"className":1711},[268],[43,1713,1715],{"className":1714,"style":273},[272],[43,1716,1717,1720],{"style":276},[43,1718],{"className":1719,"style":281},[280],[43,1721,1723],{"className":1722},[285,286,287,288],[43,1724,292],{"className":1725},[64,288],"),\nS355. Prostý nosník:",[43,1728,1731],{"className":1729},[1730],"katex-display",[43,1732,1734],{"className":1733},[46],[43,1735,1737],{"className":1736,"ariaHidden":51},[50],[43,1738,1740,1744],{"className":1739},[55],[43,1741],{"className":1742,"style":1743},[59],"height:4.7375em;vertical-align:-2.1188em;",[43,1745,1747],{"className":1746},[64],[43,1748,1751,1805],{"className":1749},[1750],"mtable",[43,1752,1755],{"className":1753},[1754],"col-align-r",[43,1756,1758,1796],{"className":1757},[264,576],[43,1759,1761,1793],{"className":1760},[268],[43,1762,1765,1779],{"className":1763,"style":1764},[272],"height:2.6188em;",[43,1766,1768,1772],{"style":1767},"top:-4.6188em;",[43,1769],{"className":1770,"style":1771},[280],"height:3.4911em;",[43,1773,1775],{"className":1774},[64],[43,1776,1778],{"className":1777,"style":466},[64,65],"M",[43,1780,1782,1785],{"style":1781},"top:-2.1417em;",[43,1783],{"className":1784,"style":1771},[280],[43,1786,1788],{"className":1787},[64],[43,1789,1792],{"className":1790,"style":1791},[64,65],"margin-right:0.0379em;","δ",[43,1794,605],{"className":1795},[604],[43,1797,1799],{"className":1798},[268],[43,1800,1803],{"className":1801,"style":1802},[272],"height:2.1188em;",[43,1804],{},[43,1806,1809],{"className":1807},[1808],"col-align-l",[43,1810,1812,2399],{"className":1811},[264,576],[43,1813,1815,2396],{"className":1814},[268],[43,1816,1818,1977],{"className":1817,"style":1764},[272],[43,1819,1820,1823],{"style":1767},[43,1821],{"className":1822,"style":1771},[280],[43,1824,1826,1829,1832,1835,1838,1954,1957,1960,1963,1967,1970],{"className":1825},[64],[43,1827],{"className":1828},[64],[43,1830],{"className":1831,"style":72},[71],[43,1833,77],{"className":1834},[76],[43,1836],{"className":1837,"style":72},[71],[43,1839,1841,1845,1951],{"className":1840},[64],[43,1842],{"className":1843},[534,1844],"nulldelimiter",[43,1846,1849],{"className":1847},[1848],"mfrac",[43,1850,1852,1942],{"className":1851},[264,576],[43,1853,1855,1939],{"className":1854},[268],[43,1856,1859,1873,1884],{"className":1857,"style":1858},[272],"height:1.4911em;",[43,1860,1862,1866],{"style":1861},"top:-2.314em;",[43,1863],{"className":1864,"style":1865},[280],"height:3em;",[43,1867,1869],{"className":1868},[64],[43,1870,1872],{"className":1871},[64],"8",[43,1874,1876,1879],{"style":1875},"top:-3.23em;",[43,1877],{"className":1878,"style":1865},[280],[43,1880],{"className":1881,"style":1883},[1882],"frac-line","border-bottom-width:0.04em;",[43,1885,1887,1890],{"style":1886},"top:-3.677em;",[43,1888],{"className":1889,"style":1865},[280],[43,1891,1893,1896,1899,1903,1906,1909],{"className":1892},[64],[43,1894,147],{"className":1895},[64],[43,1897],{"className":1898,"style":543},[71],[43,1900,1902],{"className":1901},[547],"×",[43,1904],{"className":1905,"style":543},[71],[43,1907,539],{"className":1908},[64],[43,1910,1912,1916],{"className":1911},[64],[43,1913,1915],{"className":1914},[64],"0",[43,1917,1919],{"className":1918},[260],[43,1920,1922],{"className":1921},[264],[43,1923,1925],{"className":1924},[268],[43,1926,1928],{"className":1927,"style":273},[272],[43,1929,1930,1933],{"style":276},[43,1931],{"className":1932,"style":281},[280],[43,1934,1936],{"className":1935},[285,286,287,288],[43,1937,349],{"className":1938},[64,288],[43,1940,605],{"className":1941},[604],[43,1943,1945],{"className":1944},[268],[43,1946,1949],{"className":1947,"style":1948},[272],"height:0.686em;",[43,1950],{},[43,1952],{"className":1953},[618,1844],[43,1955],{"className":1956,"style":72},[71],[43,1958,77],{"className":1959},[76],[43,1961],{"className":1962,"style":72},[71],[43,1964,1966],{"className":1965},[64],"125",[43,1968,102],{"className":1969},[71],[43,1971,1973],{"className":1972},[64,106],[43,1974,1976],{"className":1975},[64],"kNm",[43,1978,1979,1982],{"style":1781},[43,1980],{"className":1981,"style":1771},[280],[43,1983,1985,1988,1991,1994,1997,2230,2233,2236,2239,2351,2354,2357,2360,2364,2367,2373,2376,2379,2382,2386,2389],{"className":1984},[64],[43,1986],{"className":1987},[64],[43,1989],{"className":1990,"style":72},[71],[43,1992,77],{"className":1993},[76],[43,1995],{"className":1996,"style":72},[71],[43,1998,2000,2003,2227],{"className":1999},[64],[43,2001],{"className":2002},[534,1844],[43,2004,2006],{"className":2005},[1848],[43,2007,2009,2218],{"className":2008},[264,576],[43,2010,2012,2215],{"className":2011},[268],[43,2013,2015,2143,2151],{"className":2014,"style":1858},[272],[43,2016,2017,2020],{"style":1861},[43,2018],{"className":2019,"style":1865},[280],[43,2021,2023,2027,2030,2033,2036,2039,2042,2045,2048,2051,2083,2086,2089,2092,2096,2099,2102,2105,2108],{"className":2022},[64],[43,2024,2026],{"className":2025},[64],"384",[43,2028],{"className":2029,"style":543},[71],[43,2031,1902],{"className":2032},[547],[43,2034],{"className":2035,"style":543},[71],[43,2037,90],{"className":2038},[64],[43,2040],{"className":2041,"style":543},[71],[43,2043,1902],{"className":2044},[547],[43,2046],{"className":2047,"style":543},[71],[43,2049,539],{"className":2050},[64],[43,2052,2054,2057],{"className":2053},[64],[43,2055,1915],{"className":2056},[64],[43,2058,2060],{"className":2059},[260],[43,2061,2063],{"className":2062},[264],[43,2064,2066],{"className":2065},[268],[43,2067,2070],{"className":2068,"style":2069},[272],"height:0.7401em;",[43,2071,2073,2076],{"style":2072},"top:-2.989em;margin-right:0.05em;",[43,2074],{"className":2075,"style":281},[280],[43,2077,2079],{"className":2078},[285,286,287,288],[43,2080,2082],{"className":2081},[64,288],"6",[43,2084],{"className":2085,"style":543},[71],[43,2087,1902],{"className":2088},[547],[43,2090],{"className":2091,"style":543},[71],[43,2093,2095],{"className":2094},[64],"2.313",[43,2097],{"className":2098,"style":543},[71],[43,2100,1902],{"className":2101},[547],[43,2103],{"className":2104,"style":543},[71],[43,2106,539],{"className":2107},[64],[43,2109,2111,2114],{"className":2110},[64],[43,2112,1915],{"className":2113},[64],[43,2115,2117],{"className":2116},[260],[43,2118,2120],{"className":2119},[264],[43,2121,2123],{"className":2122},[268],[43,2124,2126],{"className":2125,"style":2069},[272],[43,2127,2128,2131],{"style":2072},[43,2129],{"className":2130,"style":281},[280],[43,2132,2134],{"className":2133},[285,286,287,288],[43,2135,2137,2140],{"className":2136},[64,288],[43,2138,548],{"className":2139},[64,288],[43,2141,292],{"className":2142},[64,288],[43,2144,2145,2148],{"style":1875},[43,2146],{"className":2147,"style":1865},[280],[43,2149],{"className":2150,"style":1883},[1882],[43,2152,2153,2156],{"style":1886},[43,2154],{"className":2155,"style":1865},[280],[43,2157,2159,2162,2165,2168,2171,2174,2177,2180,2183,2186],{"className":2158},[64],[43,2160,247],{"className":2161},[64],[43,2163],{"className":2164,"style":543},[71],[43,2166,1902],{"className":2167},[547],[43,2169],{"className":2170,"style":543},[71],[43,2172,147],{"className":2173},[64],[43,2175],{"className":2176,"style":543},[71],[43,2178,1902],{"className":2179},[547],[43,2181],{"className":2182,"style":543},[71],[43,2184,539],{"className":2185},[64],[43,2187,2189,2192],{"className":2188},[64],[43,2190,1915],{"className":2191},[64],[43,2193,2195],{"className":2194},[260],[43,2196,2198],{"className":2197},[264],[43,2199,2201],{"className":2200},[268],[43,2202,2204],{"className":2203,"style":273},[272],[43,2205,2206,2209],{"style":276},[43,2207],{"className":2208,"style":281},[280],[43,2210,2212],{"className":2211},[285,286,287,288],[43,2213,292],{"className":2214},[64,288],[43,2216,605],{"className":2217},[604],[43,2219,2221],{"className":2220},[268],[43,2222,2225],{"className":2223,"style":2224},[272],"height:0.7693em;",[43,2226],{},[43,2228],{"className":2229},[618,1844],[43,2231],{"className":2232,"style":72},[71],[43,2234,77],{"className":2235},[76],[43,2237],{"className":2238,"style":72},[71],[43,2240,2242,2245,2348],{"className":2241},[64],[43,2243],{"className":2244},[534,1844],[43,2246,2248],{"className":2247},[1848],[43,2249,2251,2340],{"className":2250},[264,576],[43,2252,2254,2337],{"className":2253},[268],[43,2255,2258,2311,2319],{"className":2256,"style":2257},[272],"height:1.3214em;",[43,2259,2260,2263],{"style":1861},[43,2261],{"className":2262,"style":1865},[280],[43,2264,2266,2270,2273,2276,2279,2282],{"className":2265},[64],[43,2267,2269],{"className":2268},[64],"18.65",[43,2271],{"className":2272,"style":543},[71],[43,2274,1902],{"className":2275},[547],[43,2277],{"className":2278,"style":543},[71],[43,2280,539],{"className":2281},[64],[43,2283,2285,2288],{"className":2284},[64],[43,2286,1915],{"className":2287},[64],[43,2289,2291],{"className":2290},[260],[43,2292,2294],{"className":2293},[264],[43,2295,2297],{"className":2296},[268],[43,2298,2300],{"className":2299,"style":2069},[272],[43,2301,2302,2305],{"style":2072},[43,2303],{"className":2304,"style":281},[280],[43,2306,2308],{"className":2307},[285,286,287,288],[43,2309,2082],{"className":2310},[64,288],[43,2312,2313,2316],{"style":1875},[43,2314],{"className":2315,"style":1865},[280],[43,2317],{"className":2318,"style":1883},[1882],[43,2320,2321,2324],{"style":1886},[43,2322],{"className":2323,"style":1865},[280],[43,2325,2327,2331,2334],{"className":2326},[64],[43,2328,2330],{"className":2329},[64],"500",[43,2332],{"className":2333,"style":94},[71],[43,2335,98],{"className":2336},[64],[43,2338,605],{"className":2339},[604],[43,2341,2343],{"className":2342},[268],[43,2344,2346],{"className":2345,"style":2224},[272],[43,2347],{},[43,2349],{"className":2350},[618,1844],[43,2352],{"className":2353,"style":72},[71],[43,2355,77],{"className":2356},[76],[43,2358],{"className":2359,"style":72},[71],[43,2361,2363],{"className":2362},[64],"0.0268",[43,2365,102],{"className":2366},[71],[43,2368,2370],{"className":2369},[64,106],[43,2371,157],{"className":2372},[64],[43,2374],{"className":2375,"style":72},[71],[43,2377,77],{"className":2378},[76],[43,2380],{"className":2381,"style":72},[71],[43,2383,2385],{"className":2384},[64],"26.8",[43,2387,102],{"className":2388},[71],[43,2390,2392],{"className":2391},[64,106],[43,2393,2395],{"className":2394},[64],"mm",[43,2397,605],{"className":2398},[604],[43,2400,2402],{"className":2401},[268],[43,2403,2405],{"className":2404,"style":1802},[272],[43,2406],{},[11,2408,2409,2410,2431],{},"Osamělá síla uprostřed rozpětí leží v uzlu, pokud je prut v tom místě rozdělen, a\nvýsledek je přesný. Vyzkoušejte obě varianty, rozdělený i nerozdělený prut, a od obou\nčekejte ",[43,2411,2413],{"className":2412},[46],[43,2414,2416],{"className":2415,"ariaHidden":51},[50],[43,2417,2419,2422,2425,2428],{"className":2418},[55],[43,2420],{"className":2421,"style":192},[59],[43,2423,370],{"className":2424,"style":369},[64,65],[43,2426,127],{"className":2427},[64,65],[43,2429,450],{"className":2430},[64]," až na zaokrouhlení. Pokud nerozdělený prut nesouhlasí, stojí to za\nnahlášení.",[2433,2434,2436],"h3",{"id":2435},"smyková-deformace","Smyková deformace",[11,2438,2439,2440,2496,2497,2616],{},"Nosník zahrnuje smykovou deformaci přes své smykové plochy. U štíhlého nosníku je účinek\nmalý; u málo štíhlého ne. Při rovnoměrném zatížení přidává smyk k ohybovému průhybu\n",[43,2441,2443],{"className":2442},[46],[43,2444,2446],{"className":2445,"ariaHidden":51},[50],[43,2447,2449,2452,2455,2458,2487,2490,2493],{"className":2448},[55],[43,2450],{"className":2451,"style":243},[59],[43,2453,247],{"className":2454},[64],[43,2456,176],{"className":2457,"style":175},[64,65],[43,2459,2461,2464],{"className":2460},[64],[43,2462,127],{"className":2463},[64,65],[43,2465,2467],{"className":2466},[260],[43,2468,2470],{"className":2469},[264],[43,2471,2473],{"className":2472},[268],[43,2474,2476],{"className":2475,"style":273},[272],[43,2477,2478,2481],{"style":276},[43,2479],{"className":2480,"style":281},[280],[43,2482,2484],{"className":2483},[285,286,287,288],[43,2485,292],{"className":2486},[64,288],[43,2488,296],{"className":2489},[64],[43,2491,67],{"className":2492,"style":66},[64,65],[43,2494,304],{"className":2495,"style":303},[64,65]," podíl ",[43,2498,2500],{"className":2499},[46],[43,2501,2503],{"className":2502,"ariaHidden":51},[50],[43,2504,2506,2509,2513,2521,2524,2527,2530,2533,2536,2539,2542,2584,2613],{"className":2505},[55],[43,2507],{"className":2508,"style":243},[59],[43,2510,2512],{"className":2511},[64],"9",[43,2514,2516],{"className":2515},[64],[43,2517,2520],{"className":2518},[2519],"mpunct",",",[43,2522,2082],{"className":2523},[64],[43,2525],{"className":2526,"style":94},[71],[43,2528,67],{"className":2529,"style":66},[64,65],[43,2531,304],{"className":2532,"style":303},[64,65],[43,2534,474],{"className":2535},[64],[43,2537,535],{"className":2538},[534],[43,2540,508],{"className":2541},[64,65],[43,2543,2545,2548],{"className":2544},[64],[43,2546,481],{"className":2547},[64,65],[43,2549,2551],{"className":2550},[260],[43,2552,2554,2576],{"className":2553},[264,576],[43,2555,2557,2573],{"className":2556},[268],[43,2558,2560],{"className":2559,"style":583},[272],[43,2561,2563,2566],{"style":2562},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[43,2564],{"className":2565,"style":281},[280],[43,2567,2569],{"className":2568},[285,286,287,288],[43,2570,2572],{"className":2571,"style":1650},[64,65,288],"v",[43,2574,605],{"className":2575},[604],[43,2577,2579],{"className":2578},[268],[43,2580,2582],{"className":2581,"style":612},[272],[43,2583],{},[43,2585,2587,2590],{"className":2586},[64],[43,2588,127],{"className":2589},[64,65],[43,2591,2593],{"className":2592},[260],[43,2594,2596],{"className":2595},[264],[43,2597,2599],{"className":2598},[268],[43,2600,2602],{"className":2601,"style":273},[272],[43,2603,2604,2607],{"style":276},[43,2605],{"className":2606,"style":281},[280],[43,2608,2610],{"className":2609},[285,286,287,288],[43,2611,349],{"className":2612},[64,288],[43,2614,619],{"className":2615},[618],": u IPE 400 je to asi 1,4 % při rozpětí 10 m\na asi 34 % při 2 m. To je prvek, který počítá správně. Pro srovnání s čistě ohybovým vzorcem nastavte smykové plochy velmi velké.",[24,2618,2620],{"id":2619},"frames-exact-and-a-check-on-connectivity","Rámy: přesné, a kontrola připojení",[11,2622,2623,2624,2641,2642,2657,2658,2712,2713,2767,2768,2783],{},"Standardní test rámu je kloubově podepřený portálový rám s rovnoměrným zatížením příčle.\nPro obdélníkový rám výšky ",[43,2625,2627],{"className":2626},[46],[43,2628,2630],{"className":2629,"ariaHidden":51},[50],[43,2631,2633,2637],{"className":2632},[55],[43,2634],{"className":2635,"style":2636},[59],"height:0.6944em;",[43,2638,2640],{"className":2639},[64,65],"h",", rozpětí ",[43,2643,2645],{"className":2644},[46],[43,2646,2648],{"className":2647,"ariaHidden":51},[50],[43,2649,2651,2654],{"className":2650},[55],[43,2652],{"className":2653,"style":60},[59],[43,2655,127],{"className":2656},[64,65],", se sloupy ",[43,2659,2661],{"className":2660},[46],[43,2662,2664],{"className":2663,"ariaHidden":51},[50],[43,2665,2667,2671],{"className":2666},[55],[43,2668],{"className":2669,"style":2670},[59],"height:0.8333em;vertical-align:-0.15em;",[43,2672,2674,2677],{"className":2673},[64],[43,2675,304],{"className":2676,"style":303},[64,65],[43,2678,2680],{"className":2679},[260],[43,2681,2683,2704],{"className":2682},[264,576],[43,2684,2686,2701],{"className":2685},[268],[43,2687,2689],{"className":2688,"style":583},[272],[43,2690,2691,2694],{"style":1640},[43,2692],{"className":2693,"style":281},[280],[43,2695,2697],{"className":2696},[285,286,287,288],[43,2698,2700],{"className":2699},[64,65,288],"c",[43,2702,605],{"className":2703},[604],[43,2705,2707],{"className":2706},[268],[43,2708,2710],{"className":2709,"style":612},[272],[43,2711],{}," a příčlí ",[43,2714,2716],{"className":2715},[46],[43,2717,2719],{"className":2718,"ariaHidden":51},[50],[43,2720,2722,2725],{"className":2721},[55],[43,2723],{"className":2724,"style":2670},[59],[43,2726,2728,2731],{"className":2727},[64],[43,2729,304],{"className":2730,"style":303},[64,65],[43,2732,2734],{"className":2733},[260],[43,2735,2737,2759],{"className":2736},[264,576],[43,2738,2740,2756],{"className":2739},[268],[43,2741,2744],{"className":2742,"style":2743},[272],"height:0.3361em;",[43,2745,2746,2749],{"style":1640},[43,2747],{"className":2748,"style":281},[280],[43,2750,2752],{"className":2751},[285,286,287,288],[43,2753,2755],{"className":2754},[64,65,288],"b",[43,2757,605],{"className":2758},[604],[43,2760,2762],{"className":2761},[268],[43,2763,2765],{"className":2764,"style":612},[272],[43,2766],{}," při\nrovnoměrném zatížení příčle ",[43,2769,2771],{"className":2770},[46],[43,2772,2774],{"className":2773,"ariaHidden":51},[50],[43,2775,2777,2780],{"className":2776},[55],[43,2778],{"className":2779,"style":171},[59],[43,2781,176],{"className":2782,"style":175},[64,65],":",[43,2785,2787],{"className":2786},[1730],[43,2788,2790],{"className":2789},[46],[43,2791,2793],{"className":2792,"ariaHidden":51},[50],[43,2794,2796,2800],{"className":2795},[55],[43,2797],{"className":2798,"style":2799},[59],"height:9.0672em;vertical-align:-4.2836em;",[43,2801,2803],{"className":2802},[64],[43,2804,2806,2971,3458,3463,3496],{"className":2805},[1750],[43,2807,2809],{"className":2808},[1754],[43,2810,2812,2962],{"className":2811},[264,576],[43,2813,2815,2959],{"className":2814},[268],[43,2816,2819,2833,2847,2903],{"className":2817,"style":2818},[272],"height:4.7836em;",[43,2820,2822,2825],{"style":2821},"top:-6.8477em;",[43,2823],{"className":2824,"style":1771},[280],[43,2826,2828],{"className":2827},[64],[43,2829,2832],{"className":2830,"style":2831},[64,65],"margin-right:0.0315em;","k",[43,2834,2836,2839],{"style":2835},"top:-4.1206em;",[43,2837],{"className":2838,"style":1771},[280],[43,2840,2842],{"className":2841},[64],[43,2843,2846],{"className":2844,"style":2845},[64,65],"margin-right:0.0813em;","H",[43,2848,2850,2853],{"style":2849},"top:-2.0446em;",[43,2851],{"className":2852,"style":1771},[280],[43,2854,2856],{"className":2855},[64],[43,2857,2859,2862],{"className":2858},[64],[43,2860,1778],{"className":2861,"style":466},[64,65],[43,2863,2865],{"className":2864},[260],[43,2866,2868,2895],{"className":2867},[264,576],[43,2869,2871,2892],{"className":2870},[268],[43,2872,2874],{"className":2873,"style":583},[272],[43,2875,2876,2879],{"style":586},[43,2877],{"className":2878,"style":281},[280],[43,2880,2882],{"className":2881},[285,286,287,288],[43,2883,2885],{"className":2884},[64,288],[43,2886,2888],{"className":2887},[64,106,288],[43,2889,2891],{"className":2890},[64,288],"eaves",[43,2893,605],{"className":2894},[604],[43,2896,2898],{"className":2897},[268],[43,2899,2901],{"className":2900,"style":612},[272],[43,2902],{},[43,2904,2906,2909],{"style":2905},"top:0.1065em;",[43,2907],{"className":2908,"style":1771},[280],[43,2910,2912],{"className":2911},[64],[43,2913,2915,2918],{"className":2914},[64],[43,2916,1778],{"className":2917,"style":466},[64,65],[43,2919,2921],{"className":2920},[260],[43,2922,2924,2951],{"className":2923},[264,576],[43,2925,2927,2948],{"className":2926},[268],[43,2928,2930],{"className":2929,"style":2743},[272],[43,2931,2932,2935],{"style":586},[43,2933],{"className":2934,"style":281},[280],[43,2936,2938],{"className":2937},[285,286,287,288],[43,2939,2941],{"className":2940},[64,288],[43,2942,2944],{"className":2943},[64,106,288],[43,2945,2947],{"className":2946},[64,288],"mid",[43,2949,605],{"className":2950},[604],[43,2952,2954],{"className":2953},[268],[43,2955,2957],{"className":2956,"style":612},[272],[43,2958],{},[43,2960,605],{"className":2961},[604],[43,2963,2965],{"className":2964},[268],[43,2966,2969],{"className":2967,"style":2968},[272],"height:4.2836em;",[43,2970],{},[43,2972,2974],{"className":2973},[1808],[43,2975,2977,3450],{"className":2976},[264,576],[43,2978,2980,3447],{"className":2979},[268],[43,2981,2983,3153,3295,3321],{"className":2982,"style":2818},[272],[43,2984,2985,2988],{"style":2821},[43,2986],{"className":2987,"style":1771},[280],[43,2989,2991,2994,2997,3000,3003],{"className":2990},[64],[43,2992],{"className":2993},[64],[43,2995],{"className":2996,"style":72},[71],[43,2998,77],{"className":2999},[76],[43,3001],{"className":3002,"style":72},[71],[43,3004,3006,3009,3150],{"className":3005},[64],[43,3007],{"className":3008},[534,1844],[43,3010,3012],{"className":3011},[1848],[43,3013,3015,3141],{"className":3014},[264,576],[43,3016,3018,3138],{"className":3017},[268],[43,3019,3022,3076,3084],{"className":3020,"style":3021},[272],"height:1.427em;",[43,3023,3024,3027],{"style":1861},[43,3025],{"className":3026,"style":1865},[280],[43,3028,3030,3070,3073],{"className":3029},[64],[43,3031,3033,3036],{"className":3032},[64],[43,3034,304],{"className":3035,"style":303},[64,65],[43,3037,3039],{"className":3038},[260],[43,3040,3042,3062],{"className":3041},[264,576],[43,3043,3045,3059],{"className":3044},[268],[43,3046,3048],{"className":3047,"style":583},[272],[43,3049,3050,3053],{"style":1640},[43,3051],{"className":3052,"style":281},[280],[43,3054,3056],{"className":3055},[285,286,287,288],[43,3057,2700],{"className":3058},[64,65,288],[43,3060,605],{"className":3061},[604],[43,3063,3065],{"className":3064},[268],[43,3066,3068],{"className":3067,"style":612},[272],[43,3069],{},[43,3071,474],{"className":3072},[64],[43,3074,2640],{"className":3075},[64,65],[43,3077,3078,3081],{"style":1875},[43,3079],{"className":3080,"style":1865},[280],[43,3082],{"className":3083,"style":1883},[1882],[43,3085,3086,3089],{"style":1886},[43,3087],{"className":3088,"style":1865},[280],[43,3090,3092,3132,3135],{"className":3091},[64],[43,3093,3095,3098],{"className":3094},[64],[43,3096,304],{"className":3097,"style":303},[64,65],[43,3099,3101],{"className":3100},[260],[43,3102,3104,3124],{"className":3103},[264,576],[43,3105,3107,3121],{"className":3106},[268],[43,3108,3110],{"className":3109,"style":2743},[272],[43,3111,3112,3115],{"style":1640},[43,3113],{"className":3114,"style":281},[280],[43,3116,3118],{"className":3117},[285,286,287,288],[43,3119,2755],{"className":3120},[64,65,288],[43,3122,605],{"className":3123},[604],[43,3125,3127],{"className":3126},[268],[43,3128,3130],{"className":3129,"style":612},[272],[43,3131],{},[43,3133,474],{"className":3134},[64],[43,3136,127],{"className":3137},[64,65],[43,3139,605],{"className":3140},[604],[43,3142,3144],{"className":3143},[268],[43,3145,3148],{"className":3146,"style":3147},[272],"height:0.936em;",[43,3149],{},[43,3151],{"className":3152},[618,1844],[43,3154,3155,3158],{"style":2835},[43,3156],{"className":3157,"style":1771},[280],[43,3159,3161,3164,3167,3170,3173],{"className":3160},[64],[43,3162],{"className":3163},[64],[43,3165],{"className":3166,"style":72},[71],[43,3168,77],{"className":3169},[76],[43,3171],{"className":3172,"style":72},[71],[43,3174,3176,3179,3292],{"className":3175},[64],[43,3177],{"className":3178},[534,1844],[43,3180,3182],{"className":3181},[1848],[43,3183,3185,3284],{"className":3184},[264,576],[43,3186,3188,3281],{"className":3187},[268],[43,3189,3191,3233,3241],{"className":3190,"style":1858},[272],[43,3192,3193,3196],{"style":1861},[43,3194],{"className":3195,"style":1865},[280],[43,3197,3199,3202,3205,3208,3211,3214,3217,3220,3224,3227,3230],{"className":3198},[64],[43,3200,292],{"className":3201},[64],[43,3203,2640],{"className":3204},[64,65],[43,3206],{"className":3207,"style":94},[71],[43,3209,535],{"className":3210},[534],[43,3212,349],{"className":3213},[64],[43,3215,2832],{"className":3216,"style":2831},[64,65],[43,3218],{"className":3219,"style":543},[71],[43,3221,3223],{"className":3222},[547],"+",[43,3225],{"className":3226,"style":543},[71],[43,3228,400],{"className":3229},[64],[43,3231,619],{"className":3232},[618],[43,3234,3235,3238],{"style":1875},[43,3236],{"className":3237,"style":1865},[280],[43,3239],{"className":3240,"style":1883},[1882],[43,3242,3243,3246],{"style":1886},[43,3244],{"className":3245,"style":1865},[280],[43,3247,3249,3252],{"className":3248},[64],[43,3250,176],{"className":3251,"style":175},[64,65],[43,3253,3255,3258],{"className":3254},[64],[43,3256,127],{"className":3257},[64,65],[43,3259,3261],{"className":3260},[260],[43,3262,3264],{"className":3263},[264],[43,3265,3267],{"className":3266},[268],[43,3268,3270],{"className":3269,"style":273},[272],[43,3271,3272,3275],{"style":276},[43,3273],{"className":3274,"style":281},[280],[43,3276,3278],{"className":3277},[285,286,287,288],[43,3279,349],{"className":3280},[64,288],[43,3282,605],{"className":3283},[604],[43,3285,3287],{"className":3286},[268],[43,3288,3290],{"className":3289,"style":3147},[272],[43,3291],{},[43,3293],{"className":3294},[618,1844],[43,3296,3297,3300],{"style":2849},[43,3298],{"className":3299,"style":1771},[280],[43,3301,3303,3306,3309,3312,3315,3318],{"className":3302},[64],[43,3304],{"className":3305},[64],[43,3307],{"className":3308,"style":72},[71],[43,3310,77],{"className":3311},[76],[43,3313],{"className":3314,"style":72},[71],[43,3316,2846],{"className":3317,"style":2845},[64,65],[43,3319,2640],{"className":3320},[64,65],[43,3322,3323,3326],{"style":2905},[43,3324],{"className":3325,"style":1771},[280],[43,3327,3329,3332,3335,3338,3341,3432,3435,3438,3441,3444],{"className":3328},[64],[43,3330],{"className":3331},[64],[43,3333],{"className":3334,"style":72},[71],[43,3336,77],{"className":3337},[76],[43,3339],{"className":3340,"style":72},[71],[43,3342,3344,3347,3429],{"className":3343},[64],[43,3345],{"className":3346},[534,1844],[43,3348,3350],{"className":3349},[1848],[43,3351,3353,3421],{"className":3352},[264,576],[43,3354,3356,3418],{"className":3355},[268],[43,3357,3359,3370,3378],{"className":3358,"style":1858},[272],[43,3360,3361,3364],{"style":1861},[43,3362],{"className":3363,"style":1865},[280],[43,3365,3367],{"className":3366},[64],[43,3368,1872],{"className":3369},[64],[43,3371,3372,3375],{"style":1875},[43,3373],{"className":3374,"style":1865},[280],[43,3376],{"className":3377,"style":1883},[1882],[43,3379,3380,3383],{"style":1886},[43,3381],{"className":3382,"style":1865},[280],[43,3384,3386,3389],{"className":3385},[64],[43,3387,176],{"className":3388,"style":175},[64,65],[43,3390,3392,3395],{"className":3391},[64],[43,3393,127],{"className":3394},[64,65],[43,3396,3398],{"className":3397},[260],[43,3399,3401],{"className":3400},[264],[43,3402,3404],{"className":3403},[268],[43,3405,3407],{"className":3406,"style":273},[272],[43,3408,3409,3412],{"style":276},[43,3410],{"className":3411,"style":281},[280],[43,3413,3415],{"className":3414},[285,286,287,288],[43,3416,349],{"className":3417},[64,288],[43,3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uprostřed rozpětí musí vyjít pod ",[43,3541,3543],{"className":3542},[46],[43,3544,3546],{"className":3545,"ariaHidden":51},[50],[43,3547,3549,3552,3555,3584],{"className":3548},[55],[43,3550],{"className":3551,"style":243},[59],[43,3553,176],{"className":3554,"style":175},[64,65],[43,3556,3558,3561],{"className":3557},[64],[43,3559,127],{"className":3560},[64,65],[43,3562,3564],{"className":3563},[260],[43,3565,3567],{"className":3566},[264],[43,3568,3570],{"className":3569},[268],[43,3571,3573],{"className":3572,"style":273},[272],[43,3574,3575,3578],{"style":276},[43,3576],{"className":3577,"style":281},[280],[43,3579,3581],{"className":3580},[285,286,287,288],[43,3582,349],{"className":3583},[64,288],[43,3585,353],{"className":3586},[64]," a moment v rohu rámu musí být ten\nrozdíl. Pokud příčel ukáže přesně ",[43,3589,3591],{"className":3590},[46],[43,3592,3594],{"className":3593,"ariaHidden":51},[50],[43,3595,3597,3600,3603,3632],{"className":3596},[55],[43,3598],{"className":3599,"style":243},[59],[43,3601,176],{"className":3602,"style":175},[64,65],[43,3604,3606,3609],{"className":3605},[64],[43,3607,127],{"className":3608},[64,65],[43,3610,3612],{"className":3611},[260],[43,3613,3615],{"className":3614},[264],[43,3616,3618],{"className":3617},[268],[43,3619,3621],{"className":3620,"style":273},[272],[43,3622,3623,3626],{"style":276},[43,3624],{"className":3625,"style":281},[280],[43,3627,3629],{"className":3628},[285,286,287,288],[43,3630,349],{"className":3631},[64,288],[43,3633,353],{"className":3634},[64],", rohy nejsou spojené – viz\n",[18,3637,3639],{"href":3638},"\u002Fcs\u002Fkb\u002Fmodeling\u002Ffirst-model","První model",[11,3641,3642,3643,22],{},"Tento rám staví ",[18,3644,3646],{"href":3645},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Fquickstart","rychlý start",[24,3648,3650],{"id":3649},"sloupy-stabilita-konverguje-s-dělením","Sloupy: stabilita konverguje s dělením",[11,3652,3653],{},"Lineární stabilita používá geometrickou matici tuhosti odvozenou z týchž kubických\ntvarových funkcí a pro tuto úlohu je kubická funkce jen aproximací. Eulerova síla",[43,3655,3657],{"className":3656},[1730],[43,3658,3660],{"className":3659},[46],[43,3661,3663,3722],{"className":3662,"ariaHidden":51},[50],[43,3664,3666,3669,3713,3716,3719],{"className":3665},[55],[43,3667],{"className":3668,"style":2670},[59],[43,3670,3672,3675],{"className":3671},[64],[43,3673,370],{"className":3674,"style":369},[64,65],[43,3676,3678],{"className":3677},[260],[43,3679,3681,3705],{"className":3680},[264,576],[43,3682,3684,3702],{"className":3683},[268],[43,3685,3687],{"className":3686,"style":583},[272],[43,3688,3690,3693],{"style":3689},"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;",[43,3691],{"className":3692,"style":281},[280],[43,3694,3696],{"className":3695},[285,286,287,288],[43,3697,3699],{"className":3698},[64,288],[43,3700,600],{"className":3701,"style":599},[64,65,288],[43,3703,605],{"className":3704},[604],[43,3706,3708],{"className":3707},[268],[43,3709,3711],{"className":3710,"style":612},[272],[43,3712],{},[43,3714],{"className":3715,"style":72},[71],[43,3717,77],{"className":3718},[76],[43,3720],{"className":3721,"style":72},[71],[43,3723,3725,3729],{"className":3724},[55],[43,3726],{"className":3727,"style":3728},[59],"height:2.4241em;vertical-align:-0.933em;",[43,3730,3732,3735,3875],{"className":3731},[64],[43,3733],{"className":3734},[534,1844],[43,3736,3738],{"className":3737},[1848],[43,3739,3741,3866],{"className":3740},[264,576],[43,3742,3744,3863],{"className":3743},[268],[43,3745,3747,3811,3819],{"className":3746,"style":1858},[272],[43,3748,3749,3752],{"style":1861},[43,3750],{"className":3751,"style":1865},[280],[43,3753,3755],{"className":3754},[64],[43,3756,3758,3761],{"className":3757},[64],[43,3759,127],{"className":3760},[64,65],[43,3762,3764],{"className":3763},[260],[43,3765,3767,3802],{"className":3766},[264,576],[43,3768,3770,3799],{"className":3769},[268],[43,3771,3773,3788],{"className":3772,"style":2069},[272],[43,3774,3776,3779],{"style":3775},"top:-2.453em;margin-left:0em;margin-right:0.05em;",[43,3777],{"className":3778,"style":281},[280],[43,3780,3782],{"className":3781},[285,286,287,288],[43,3783,3785],{"className":3784},[64,288],[43,3786,600],{"className":3787,"style":599},[64,65,288],[43,3789,3790,3793],{"style":2072},[43,3791],{"className":3792,"style":281},[280],[43,3794,3796],{"className":3795},[285,286,287,288],[43,3797,349],{"className":3798},[64,288],[43,3800,605],{"className":3801},[604],[43,3803,3805],{"className":3804},[268],[43,3806,3809],{"className":3807,"style":3808},[272],"height:0.247em;",[43,3810],{},[43,3812,3813,3816],{"style":1875},[43,3814],{"className":3815,"style":1865},[280],[43,3817],{"className":3818,"style":1883},[1882],[43,3820,3821,3824],{"style":1886},[43,3822],{"className":3823,"style":1865},[280],[43,3825,3827,3857,3860],{"className":3826},[64],[43,3828,3830,3834],{"className":3829},[64],[43,3831,3833],{"className":3832,"style":1650},[64,65],"π",[43,3835,3837],{"className":3836},[260],[43,3838,3840],{"className":3839},[264],[43,3841,3843],{"className":3842},[268],[43,3844,3846],{"className":3845,"style":273},[272],[43,3847,3848,3851],{"style":276},[43,3849],{"className":3850,"style":281},[280],[43,3852,3854],{"className":3853},[285,286,287,288],[43,3855,349],{"className":3856},[64,288],[43,3858,67],{"className":3859,"style":66},[64,65],[43,3861,304],{"className":3862,"style":303},[64,65],[43,3864,605],{"className":3865},[604],[43,3867,3869],{"className":3868},[268],[43,3870,3873],{"className":3871,"style":3872},[272],"height:0.933em;",[43,3874],{},[43,3876],{"className":3877},[618,1844],[11,3879,3880,3881,3954,3955,3973,3974,3993,3994,4013],{},"s ",[43,3882,3884],{"className":3883},[46],[43,3885,3887,3945],{"className":3886,"ariaHidden":51},[50],[43,3888,3890,3893,3936,3939,3942],{"className":3889},[55],[43,3891],{"className":3892,"style":2670},[59],[43,3894,3896,3899],{"className":3895},[64],[43,3897,127],{"className":3898},[64,65],[43,3900,3902],{"className":3901},[260],[43,3903,3905,3928],{"className":3904},[264,576],[43,3906,3908,3925],{"className":3907},[268],[43,3909,3911],{"className":3910,"style":583},[272],[43,3912,3913,3916],{"style":2562},[43,3914],{"className":3915,"style":281},[280],[43,3917,3919],{"className":3918},[285,286,287,288],[43,3920,3922],{"className":3921},[64,288],[43,3923,600],{"className":3924,"style":599},[64,65,288],[43,3926,605],{"className":3927},[604],[43,3929,3931],{"className":3930},[268],[43,3932,3934],{"className":3933,"style":612},[272],[43,3935],{},[43,3937],{"className":3938,"style":72},[71],[43,3940,77],{"className":3941},[76],[43,3943],{"className":3944,"style":72},[71],[43,3946,3948,3951],{"className":3947},[55],[43,3949],{"className":3950,"style":60},[59],[43,3952,127],{"className":3953},[64,65]," pro sloup s kloubovými konci, ",[43,3956,3958],{"className":3957},[46],[43,3959,3961],{"className":3960,"ariaHidden":51},[50],[43,3962,3964,3967,3970],{"className":3963},[55],[43,3965],{"className":3966,"style":60},[59],[43,3968,349],{"className":3969},[64],[43,3971,127],{"className":3972},[64,65]," pro konzolu, ",[43,3975,3977],{"className":3976},[46],[43,3978,3980],{"className":3979,"ariaHidden":51},[50],[43,3981,3983,3986,3990],{"className":3982},[55],[43,3984],{"className":3985,"style":60},[59],[43,3987,3989],{"className":3988},[64],"0.5",[43,3991,127],{"className":3992},[64,65]," pro oboustranné\nvetknutí a ",[43,3995,3997],{"className":3996},[46],[43,3998,4000],{"className":3999,"ariaHidden":51},[50],[43,4001,4003,4006,4010],{"className":4002},[55],[43,4004],{"className":4005,"style":60},[59],[43,4007,4009],{"className":4008},[64],"0.7",[43,4011,127],{"className":4012},[64,65]," pro vetknutí a kloub, se reprodukuje s přesností danou počtem prvků:",[633,4015,4016,4082],{},[636,4017,4018],{},[639,4019,4020,4023],{},[642,4021,4022],{},"Prvků na prut",[642,4024,4025,4026,4081],{},"Chyba v ",[43,4027,4029],{"className":4028},[46],[43,4030,4032],{"className":4031,"ariaHidden":51},[50],[43,4033,4035,4038],{"className":4034},[55],[43,4036],{"className":4037,"style":2670},[59],[43,4039,4041,4044],{"className":4040},[64],[43,4042,370],{"className":4043,"style":369},[64,65],[43,4045,4047],{"className":4046},[260],[43,4048,4050,4073],{"className":4049},[264,576],[43,4051,4053,4070],{"className":4052},[268],[43,4054,4056],{"className":4055,"style":583},[272],[43,4057,4058,4061],{"style":3689},[43,4059],{"className":4060,"style":281},[280],[43,4062,4064],{"className":4063},[285,286,287,288],[43,4065,4067],{"className":4066},[64,288],[43,4068,600],{"className":4069,"style":599},[64,65,288],[43,4071,605],{"className":4072},[604],[43,4074,4076],{"className":4075},[268],[43,4077,4079],{"className":4078,"style":612},[272],[43,4080],{},", kloubové konce",[652,4083,4084,4145,4152],{},[639,4085,4086,4088],{},[657,4087,539],{},[657,4089,4090,4091],{},"asi +22 % – jeden prvek dává ",[43,4092,4094],{"className":4093},[46],[43,4095,4097],{"className":4096,"ariaHidden":51},[50],[43,4098,4100,4103,4107,4110,4113,4116],{"className":4099},[55],[43,4101],{"className":4102,"style":243},[59],[43,4104,4106],{"className":4105},[64],"12",[43,4108,67],{"className":4109,"style":66},[64,65],[43,4111,304],{"className":4112,"style":303},[64,65],[43,4114,474],{"className":4115},[64],[43,4117,4119,4122],{"className":4118},[64],[43,4120,127],{"className":4121},[64,65],[43,4123,4125],{"className":4124},[260],[43,4126,4128],{"className":4127},[264],[43,4129,4131],{"className":4130},[268],[43,4132,4134],{"className":4133,"style":273},[272],[43,4135,4136,4139],{"style":276},[43,4137],{"className":4138,"style":281},[280],[43,4140,4142],{"className":4141},[285,286,287,288],[43,4143,349],{"className":4144},[64,288],[639,4146,4147,4149],{},[657,4148,349],{},[657,4150,4151],{},"pod 1 %",[639,4153,4154,4156],{},[657,4155,292],{},[657,4157,4158],{},"pod 0,1 %",[4160,4161],"diagram-buckling",{},[11,4163,4164,4165,4169],{},"Nastavení ",[18,4166,4168],{"href":4167},"\u002Fcs\u002Fkb\u002Fanalysis\u002Fbuckling","stability"," si z tohoto důvodu nese vlastní minimální\ndělení, takže výchozí výpočet je už na správné straně tabulky. Porovnejte výpočet\ns minimem nastavení a výpočet s dvojnásobkem; rozdíl by měl ležet uvnitř hodnot výše.\nPokud první tvar není ten, který čekáte (první tvar konzoly nemá inflexní bod, první tvar\noboustranně vetknutého sloupu má dva), nechte zapnuté ověření úplnosti Sturmovou\nposloupností a to vám řekne, zda byl některý tvar přeskočen.",[11,4171,4172,4173,4215,4216,4330],{},"Příklad: kloubové konce, ",[43,4174,4176],{"className":4175},[46],[43,4177,4179,4197],{"className":4178,"ariaHidden":51},[50],[43,4180,4182,4185,4188,4191,4194],{"className":4181},[55],[43,4183],{"className":4184,"style":60},[59],[43,4186,127],{"className":4187},[64,65],[43,4189],{"className":4190,"style":72},[71],[43,4192,77],{"className":4193},[76],[43,4195],{"className":4196,"style":72},[71],[43,4198,4200,4203,4206,4209],{"className":4199},[55],[43,4201],{"className":4202,"style":143},[59],[43,4204,2082],{"className":4205},[64],[43,4207,102],{"className":4208},[71],[43,4210,4212],{"className":4211},[64,106],[43,4213,157],{"className":4214},[64],", HEA 300 (",[43,4217,4219],{"className":4218},[46],[43,4220,4222,4279],{"className":4221,"ariaHidden":51},[50],[43,4223,4225,4228,4270,4273,4276],{"className":4224},[55],[43,4226],{"className":4227,"style":2670},[59],[43,4229,4231,4234],{"className":4230},[64],[43,4232,304],{"className":4233,"style":303},[64,65],[43,4235,4237],{"className":4236},[260],[43,4238,4240,4262],{"className":4239},[264,576],[43,4241,4243,4259],{"className":4242},[268],[43,4244,4246],{"className":4245,"style":583},[272],[43,4247,4248,4251],{"style":1640},[43,4249],{"className":4250,"style":281},[280],[43,4252,4254],{"className":4253},[285,286,287,288],[43,4255,4258],{"className":4256,"style":4257},[64,65,288],"margin-right:0.044em;","z",[43,4260,605],{"className":4261},[604],[43,4263,4265],{"className":4264},[268],[43,4266,4268],{"className":4267,"style":612},[272],[43,4269],{},[43,4271],{"className":4272,"style":72},[71],[43,4274,77],{"className":4275},[76],[43,4277],{"className":4278,"style":72},[71],[43,4280,4282,4285,4288,4291,4295,4298],{"className":4281},[55],[43,4283],{"className":4284,"style":273},[59],[43,4286,2082],{"className":4287},[64],[43,4289],{"className":4290,"style":94},[71],[43,4292,4294],{"className":4293},[64],"310",[43,4296,102],{"className":4297},[71],[43,4299,4301,4307],{"className":4300},[64],[43,4302,4304],{"className":4303},[64,106],[43,4305,1702],{"className":4306},[64],[43,4308,4310],{"className":4309},[260],[43,4311,4313],{"className":4312},[264],[43,4314,4316],{"className":4315},[268],[43,4317,4319],{"className":4318,"style":273},[272],[43,4320,4321,4324],{"style":276},[43,4322],{"className":4323,"style":281},[280],[43,4325,4327],{"className":4326},[285,286,287,288],[43,4328,292],{"className":4329},[64,288],", slabá osa):",[43,4332,4334],{"className":4333},[1730],[43,4335,4337],{"className":4336},[46],[43,4338,4340,4398,4641],{"className":4339,"ariaHidden":51},[50],[43,4341,4343,4346,4389,4392,4395],{"className":4342},[55],[43,4344],{"className":4345,"style":2670},[59],[43,4347,4349,4352],{"className":4348},[64],[43,4350,370],{"className":4351,"style":369},[64,65],[43,4353,4355],{"className":4354},[260],[43,4356,4358,4381],{"className":4357},[264,576],[43,4359,4361,4378],{"className":4360},[268],[43,4362,4364],{"className":4363,"style":583},[272],[43,4365,4366,4369],{"style":3689},[43,4367],{"className":4368,"style":281},[280],[43,4370,4372],{"className":4371},[285,286,287,288],[43,4373,4375],{"className":4374},[64,288],[43,4376,600],{"className":4377,"style":599},[64,65,288],[43,4379,605],{"className":4380},[604],[43,4382,4384],{"className":4383},[268],[43,4385,4387],{"className":4386,"style":612},[272],[43,4388],{},[43,4390],{"className":4391,"style":72},[71],[43,4393,77],{"className":4394},[76],[43,4396],{"className":4397,"style":72},[71],[43,4399,4401,4405,4632,4635,4638],{"className":4400},[55],[43,4402],{"className":4403,"style":4404},[59],"height:2.1771em;vertical-align:-0.686em;",[43,4406,4408,4411,4629],{"className":4407},[64],[43,4409],{"className":4410},[534,1844],[43,4412,4414],{"className":4413},[1848],[43,4415,4417,4621],{"className":4416},[264,576],[43,4418,4420,4618],{"className":4419},[268],[43,4421,4423,4460,4468],{"className":4422,"style":1858},[272],[43,4424,4425,4428],{"style":1861},[43,4426],{"className":4427,"style":1865},[280],[43,4429,4431],{"className":4430},[64],[43,4432,4434,4437],{"className":4433},[64],[43,4435,2082],{"className":4436},[64],[43,4438,4440],{"className":4439},[260],[43,4441,4443],{"className":4442},[264],[43,4444,4446],{"className":4445},[268],[43,4447,4449],{"className":4448,"style":2069},[272],[43,4450,4451,4454],{"style":2072},[43,4452],{"className":4453,"style":281},[280],[43,4455,4457],{"className":4456},[285,286,287,288],[43,4458,349],{"className":4459},[64,288],[43,4461,4462,4465],{"style":1875},[43,4463],{"className":4464,"style":1865},[280],[43,4466],{"className":4467,"style":1883},[1882],[43,4469,4470,4473],{"style":1886},[43,4471],{"className":4472,"style":1865},[280],[43,4474,4476,4505,4508,4511,4514,4517,4520,4523,4526,4529,4558,4561,4564,4567,4571,4574,4577,4580,4583],{"className":4475},[64],[43,4477,4479,4482],{"className":4478},[64],[43,4480,3833],{"className":4481,"style":1650},[64,65],[43,4483,4485],{"className":4484},[260],[43,4486,4488],{"className":4487},[264],[43,4489,4491],{"className":4490},[268],[43,4492,4494],{"className":4493,"style":273},[272],[43,4495,4496,4499],{"style":276},[43,4497],{"className":4498,"style":281},[280],[43,4500,4502],{"className":4501},[285,286,287,288],[43,4503,349],{"className":4504},[64,288],[43,4506],{"className":4507,"style":543},[71],[43,4509,1902],{"className":4510},[547],[43,4512],{"className":4513,"style":543},[71],[43,4515,90],{"className":4516},[64],[43,4518],{"className":4519,"style":543},[71],[43,4521,1902],{"className":4522},[547],[43,4524],{"className":4525,"style":543},[71],[43,4527,539],{"className":4528},[64],[43,4530,4532,4535],{"className":4531},[64],[43,4533,1915],{"className":4534},[64],[43,4536,4538],{"className":4537},[260],[43,4539,4541],{"className":4540},[264],[43,4542,4544],{"className":4543},[268],[43,4545,4547],{"className":4546,"style":273},[272],[43,4548,4549,4552],{"style":276},[43,4550],{"className":4551,"style":281},[280],[43,4553,4555],{"className":4554},[285,286,287,288],[43,4556,2082],{"className":4557},[64,288],[43,4559],{"className":4560,"style":543},[71],[43,4562,1902],{"className":4563},[547],[43,4565],{"className":4566,"style":543},[71],[43,4568,4570],{"className":4569},[64],"6.31",[43,4572],{"className":4573,"style":543},[71],[43,4575,1902],{"className":4576},[547],[43,4578],{"className":4579,"style":543},[71],[43,4581,539],{"className":4582},[64],[43,4584,4586,4589],{"className":4585},[64],[43,4587,1915],{"className":4588},[64],[43,4590,4592],{"className":4591},[260],[43,4593,4595],{"className":4594},[264],[43,4596,4598],{"className":4597},[268],[43,4599,4601],{"className":4600,"style":273},[272],[43,4602,4603,4606],{"style":276},[43,4604],{"className":4605,"style":281},[280],[43,4607,4609],{"className":4608},[285,286,287,288],[43,4610,4612,4615],{"className":4611},[64,288],[43,4613,548],{"className":4614},[64,288],[43,4616,247],{"className":4617},[64,288],[43,4619,605],{"className":4620},[604],[43,4622,4624],{"className":4623},[268],[43,4625,4627],{"className":4626,"style":1948},[272],[43,4628],{},[43,4630],{"className":4631},[618,1844],[43,4633],{"className":4634,"style":72},[71],[43,4636,77],{"className":4637},[76],[43,4639],{"className":4640,"style":72},[71],[43,4642,4644,4647,4650,4653,4657,4660],{"className":4643},[55],[43,4645],{"className":4646,"style":2636},[59],[43,4648,400],{"className":4649},[64],[43,4651],{"className":4652,"style":94},[71],[43,4654,4656],{"className":4655},[64],"633",[43,4658,102],{"className":4659},[71],[43,4661,4663],{"className":4662},[64,106],[43,4664,4666],{"className":4665},[64],"kN",[11,4668,4669,4670,22],{},"Zadejte jako referenční stav normálovou sílu 1 000 kN a čekejte 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prvky dají první tvar s odchylkou pod zlomek procenta a druhý v řádu několika\nprocent; třetí potřebuje víc. Spočítejte úlohu s konzistentní i soustředěnou hmotou a\nsledujte, jak obě přesnou hodnotu ohraničují – nejlevnější kontrola frekvence, jaká\nexistuje. Viz ",[18,6372,6374],{"href":6373},"\u002Fcs\u002Fkb\u002Fanalysis\u002Fmodal","Modální analýza",[24,6376,6378],{"id":6377},"desky-konvergují-zdola","Desky: konvergují zdola",[11,6380,6381,6382,6397,6398,6415,6416,6433],{},"Výsledek na plošném prvku závisí na síti a testem je konvergence, ne shoda při prvním\nvýpočtu. Klasická úloha je prostě podepřená čtvercová deska o straně ",[43,6383,6385],{"className":6384},[46],[43,6386,6388],{"className":6387,"ariaHidden":51},[50],[43,6389,6391,6394],{"className":6390},[55],[43,6392],{"className":6393,"style":171},[59],[43,6395,18],{"className":6396},[64,65],", tloušťce ",[43,6399,6401],{"className":6400},[46],[43,6402,6404],{"className":6403,"ariaHidden":51},[50],[43,6405,6407,6411],{"className":6406},[55],[43,6408],{"className":6409,"style":6410},[59],"height:0.6151em;",[43,6412,6414],{"className":6413},[64,65],"t",",\npři rovnoměrném tlaku ",[43,6417,6419],{"className":6418},[46],[43,6420,6422],{"className":6421,"ariaHidden":51},[50],[43,6423,6425,6429],{"className":6424},[55],[43,6426],{"className":6427,"style":6428},[59],"height:0.625em;vertical-align:-0.1944em;",[43,6430,6432],{"className":6431,"style":1650},[64,65],"q",", s",[43,6435,6437],{"className":6436},[1730],[43,6438,6440],{"className":6439},[46],[43,6441,6443,6462],{"className":6442,"ariaHidden":51},[50],[43,6444,6446,6449,6453,6456,6459],{"className":6445},[55],[43,6447],{"className":6448,"style":60},[59],[43,6450,6452],{"className":6451,"style":599},[64,65],"D",[43,6454],{"className":6455,"style":72},[71],[43,6457,77],{"className":6458},[76],[43,6460],{"className":6461,"style":72},[71],[43,6463,6465,6469],{"className":6464},[55],[43,6466],{"className":6467,"style":6468},[59],"height:2.4271em;vertical-align:-0.936em;",[43,6470,6472,6475,6606],{"className":6471},[64],[43,6473],{"className":6474},[534,1844],[43,6476,6478],{"className":6477},[1848],[43,6479,6481,6598],{"className":6480},[264,576],[43,6482,6484,6595],{"className":6483},[268],[43,6485,6487,6547,6555],{"className":6486,"style":1858},[272],[43,6488,6489,6492],{"style":1861},[43,6490],{"className":6491,"style":1865},[280],[43,6493,6495,6498,6501,6504,6507,6510,6513,6544],{"className":6494},[64],[43,6496,4106],{"className":6497},[64],[43,6499,535],{"className":6500},[534],[43,6502,539],{"className":6503},[64],[43,6505],{"className":6506,"style":543},[71],[43,6508,548],{"className":6509},[547],[43,6511],{"className":6512,"style":543},[71],[43,6514,6516,6521],{"className":6515},[64],[43,6517,6520],{"className":6518,"style":6519},[64,65],"margin-right:0.0637em;","ν",[43,6522,6524],{"className":6523},[260],[43,6525,6527],{"className":6526},[264],[43,6528,6530],{"className":6529},[268],[43,6531,6533],{"className":6532,"style":2069},[272],[43,6534,6535,6538],{"style":2072},[43,6536],{"className":6537,"style":281},[280],[43,6539,6541],{"className":6540},[285,286,287,288],[43,6542,349],{"className":6543},[64,288],[43,6545,619],{"className":6546},[618],[43,6548,6549,6552],{"style":1875},[43,6550],{"className":6551,"style":1865},[280],[43,6553],{"className":6554,"style":1883},[1882],[43,6556,6557,6560],{"style":1886},[43,6558],{"className":6559,"style":1865},[280],[43,6561,6563,6566],{"className":6562},[64],[43,6564,67],{"className":6565,"style":66},[64,65],[43,6567,6569,6572],{"className":6568},[64],[43,6570,6414],{"className":6571},[64,65],[43,6573,6575],{"className":6574},[260],[43,6576,6578],{"className":6577},[264],[43,6579,6581],{"className":6580},[268],[43,6582,6584],{"className":6583,"style":273},[272],[43,6585,6586,6589],{"style":276},[43,6587],{"className":6588,"style":281},[280],[43,6590,6592],{"className":6591},[285,286,287,288],[43,6593,400],{"className":6594},[64,288],[43,6596,605],{"className":6597},[604],[43,6599,6601],{"className":6600},[268],[43,6602,6604],{"className":6603,"style":3147},[272],[43,6605],{},[43,6607],{"className":6608},[618,1844],[11,6610,6611,6612,2783],{},"Pro ",[43,6613,6615],{"className":6614},[46],[43,6616,6618,6636],{"className":6617,"ariaHidden":51},[50],[43,6619,6621,6624,6627,6630,6633],{"className":6620},[55],[43,6622],{"className":6623,"style":171},[59],[43,6625,6520],{"className":6626,"style":6519},[64,65],[43,6628],{"className":6629,"style":72},[71],[43,6631,77],{"className":6632},[76],[43,6634],{"className":6635,"style":72},[71],[43,6637,6639,6642],{"className":6638},[55],[43,6640],{"className":6641,"style":143},[59],[43,6643,6645],{"className":6644},[64],"0.3",[43,6647,6649],{"className":6648},[1730],[43,6650,6652],{"className":6651},[46],[43,6653,6655],{"className":6654,"ariaHidden":51},[50],[43,6656,6658,6662],{"className":6657},[55],[43,6659],{"className":6660,"style":6661},[59],"height:3.7012em;vertical-align:-1.6006em;",[43,6663,6665],{"className":6664},[64],[43,6666,6668,6806],{"className":6667},[1750],[43,6669,6671],{"className":6670},[1754],[43,6672,6674,6797],{"className":6673},[264,576],[43,6675,6677,6794],{"className":6676},[268],[43,6678,6681,6739],{"className":6679,"style":6680},[272],"height:2.1006em;",[43,6682,6684,6687],{"style":6683},"top:-4.1006em;",[43,6685],{"className":6686,"style":1771},[280],[43,6688,6690],{"className":6689},[64],[43,6691,6693,6696],{"className":6692},[64],[43,6694,176],{"className":6695,"style":175},[64,65],[43,6697,6699],{"className":6698},[260],[43,6700,6702,6731],{"className":6701},[264,576],[43,6703,6705,6728],{"className":6704},[268],[43,6706,6709],{"className":6707,"style":6708},[272],"height:0.2806em;",[43,6710,6712,6715],{"style":6711},"top:-2.55em;margin-left:-0.0269em;margin-right:0.05em;",[43,6713],{"className":6714,"style":281},[280],[43,6716,6718],{"className":6717},[285,286,287,288],[43,6719,6721],{"className":6720},[64,288],[43,6722,6724],{"className":6723},[64,106,288],[43,6725,6727],{"className":6726},[64,288],"centre",[43,6729,605],{"className":6730},[604],[43,6732,6734],{"className":6733},[268],[43,6735,6737],{"className":6736,"style":612},[272],[43,6738],{},[43,6740,6742,6745],{"style":6741},"top:-2.2505em;",[43,6743],{"className":6744,"style":1771},[280],[43,6746,6748],{"className":6747},[64],[43,6749,6751,6754],{"className":6750},[64],[43,6752,157],{"className":6753},[64,65],[43,6755,6757],{"className":6756},[260],[43,6758,6760,6786],{"className":6759},[264,576],[43,6761,6763,6783],{"className":6762},[268],[43,6764,6766],{"className":6765,"style":6708},[272],[43,6767,6768,6771],{"style":2562},[43,6769],{"className":6770,"style":281},[280],[43,6772,6774],{"className":6773},[285,286,287,288],[43,6775,6777],{"className":6776},[64,288],[43,6778,6780],{"className":6779},[64,106,288],[43,6781,6727],{"className":6782},[64,288],[43,6784,605],{"className":6785},[604],[43,6787,6789],{"className":6788},[268],[43,6790,6792],{"className":6791,"style":612},[272],[43,6793],{},[43,6795,605],{"className":6796},[604],[43,6798,6800],{"className":6799},[268],[43,6801,6804],{"className":6802,"style":6803},[272],"height:1.6006em;",[43,6805],{},[43,6807,6809],{"className":6808},[1808],[43,6810,6812,7000],{"className":6811},[264,576],[43,6813,6815,6997],{"className":6814},[268],[43,6816,6818,6936],{"className":6817,"style":6680},[272],[43,6819,6820,6823],{"style":6683},[43,6821],{"className":6822,"style":1771},[280],[43,6824,6826,6829,6832,6835,6838,6842,6845],{"className":6825},[64],[43,6827],{"className":6828},[64],[43,6830],{"className":6831,"style":72},[71],[43,6833,77],{"className":6834},[76],[43,6836],{"className":6837,"style":72},[71],[43,6839,6841],{"className":6840},[64],"0.00406",[43,6843],{"className":6844,"style":94},[71],[43,6846,6848,6851,6933],{"className":6847},[64],[43,6849],{"className":6850},[534,1844],[43,6852,6854],{"className":6853},[1848],[43,6855,6857,6925],{"className":6856},[264,576],[43,6858,6860,6922],{"className":6859},[268],[43,6861,6863,6874,6882],{"className":6862,"style":1858},[272],[43,6864,6865,6868],{"style":1861},[43,6866],{"className":6867,"style":1865},[280],[43,6869,6871],{"className":6870},[64],[43,6872,6452],{"className":6873,"style":599},[64,65],[43,6875,6876,6879],{"style":1875},[43,6877],{"className":6878,"style":1865},[280],[43,6880],{"className":6881,"style":1883},[1882],[43,6883,6884,6887],{"style":1886},[43,6885],{"className":6886,"style":1865},[280],[43,6888,6890,6893],{"className":6889},[64],[43,6891,6432],{"className":6892,"style":1650},[64,65],[43,6894,6896,6899],{"className":6895},[64],[43,6897,18],{"className":6898},[64,65],[43,6900,6902],{"className":6901},[260],[43,6903,6905],{"className":6904},[264],[43,6906,6908],{"className":6907},[268],[43,6909,6911],{"className":6910,"style":273},[272],[43,6912,6913,6916],{"style":276},[43,6914],{"className":6915,"style":281},[280],[43,6917,6919],{"className":6918},[285,286,287,288],[43,6920,292],{"className":6921},[64,288],[43,6923,605],{"className":6924},[604],[43,6926,6928],{"className":6927},[268],[43,6929,6931],{"className":6930,"style":1948},[272],[43,6932],{},[43,6934],{"className":6935},[618,1844],[43,6937,6938,6941],{"style":6741},[43,6939],{"className":6940,"style":1771},[280],[43,6942,6944,6947,6950,6953,6956,6960,6963,6966],{"className":6943},[64],[43,6945],{"className":6946},[64],[43,6948],{"className":6949,"style":72},[71],[43,6951,77],{"className":6952},[76],[43,6954],{"className":6955,"style":72},[71],[43,6957,6959],{"className":6958},[64],"0.0479",[43,6961],{"className":6962,"style":94},[71],[43,6964,6432],{"className":6965,"style":1650},[64,65],[43,6967,6969,6972],{"className":6968},[64],[43,6970,18],{"className":6971},[64,65],[43,6973,6975],{"className":6974},[260],[43,6976,6978],{"className":6977},[264],[43,6979,6981],{"className":6980},[268],[43,6982,6985],{"className":6983,"style":6984},[272],"height:0.8641em;",[43,6986,6988,6991],{"style":6987},"top:-3.113em;margin-right:0.05em;",[43,6989],{"className":6990,"style":281},[280],[43,6992,6994],{"className":6993},[285,286,287,288],[43,6995,349],{"className":6996},[64,288],[43,6998,605],{"className":6999},[604],[43,7001,7003],{"className":7002},[268],[43,7004,7006],{"className":7005,"style":6803},[272],[43,7007],{},[11,7009,7010,7011,7086,7087,22],{},"Pro vetknutou čtvercovou desku je uprostřed ",[43,7012,7014],{"className":7013},[46],[43,7015,7017,7035],{"className":7016,"ariaHidden":51},[50],[43,7018,7020,7023,7026,7029,7032],{"className":7019},[55],[43,7021],{"className":7022,"style":171},[59],[43,7024,176],{"className":7025,"style":175},[64,65],[43,7027],{"className":7028,"style":72},[71],[43,7030,77],{"className":7031},[76],[43,7033],{"className":7034,"style":72},[71],[43,7036,7038,7041,7045,7048,7051,7080,7083],{"className":7037},[55],[43,7039],{"className":7040,"style":243},[59],[43,7042,7044],{"className":7043},[64],"0.00126",[43,7046],{"className":7047,"style":94},[71],[43,7049,6432],{"className":7050,"style":1650},[64,65],[43,7052,7054,7057],{"className":7053},[64],[43,7055,18],{"className":7056},[64,65],[43,7058,7060],{"className":7059},[260],[43,7061,7063],{"className":7062},[264],[43,7064,7066],{"className":7065},[268],[43,7067,7069],{"className":7068,"style":273},[272],[43,7070,7071,7074],{"style":276},[43,7072],{"className":7073,"style":281},[280],[43,7075,7077],{"className":7076},[285,286,287,288],[43,7078,292],{"className":7079},[64,288],[43,7081,474],{"className":7082},[64],[43,7084,6452],{"className":7085,"style":599},[64,65]," a moment uprostřed\nokraje je ",[43,7088,7090],{"className":7089},[46],[43,7091,7093],{"className":7092,"ariaHidden":51},[50],[43,7094,7096,7100,7103,7107,7110,7113],{"className":7095},[55],[43,7097],{"className":7098,"style":7099},[59],"height:1.0085em;vertical-align:-0.1944em;",[43,7101,548],{"className":7102},[64],[43,7104,7106],{"className":7105},[64],"0.0513",[43,7108],{"className":7109,"style":94},[71],[43,7111,6432],{"className":7112,"style":1650},[64,65],[43,7114,7116,7119],{"className":7115},[64],[43,7117,18],{"className":7118},[64,65],[43,7120,7122],{"className":7121},[260],[43,7123,7125],{"className":7124},[264],[43,7126,7128],{"className":7127},[268],[43,7129,7131],{"className":7130,"style":273},[272],[43,7132,7133,7136],{"style":276},[43,7134],{"className":7135,"style":281},[280],[43,7137,7139],{"className":7138},[285,286,287,288],[43,7140,349],{"className":7141},[64,288],[11,7143,7144],{},"Očekávané chování skořepinového prvku:",[633,7146,7147,7160],{},[636,7148,7149],{},[639,7150,7151,7154,7157],{},[642,7152,7153],{},"Síť",[642,7155,7156],{},"Průhyb uprostřed",[642,7158,7159],{},"Moment uprostřed",[652,7161,7162,7173,7184],{},[639,7163,7164,7167,7170],{},[657,7165,7166],{},"4 × 4",[657,7168,7169],{},"Odchylka několik procent, nižší",[657,7171,7172],{},"O několik procent nižší",[639,7174,7175,7178,7181],{},[657,7176,7177],{},"8 × 8",[657,7179,7180],{},"Odchylka asi 1 %",[657,7182,7183],{},"Odchylka 1–2 %",[639,7185,7186,7189,7192],{},[657,7187,7188],{},"16 × 16",[657,7190,7191],{},"Zkonvergováno",[657,7193,7191],{},[11,7195,7196,7197,22],{},"Průhyb konverguje zdola (hrubá síť je tuhá) a moment ho následuje. Dvě zjemnění, která se\nshodnou do jednoho procenta, jsou argument o konvergenci; výsledek, který se mezi\nposledními dvěma sítěmi změní o víc, ještě není číslo k citování. Viz\n",[18,7198,7200],{"href":7199},"\u002Fcs\u002Fkb\u002Fmeshing\u002Felement-size#convergence","Volba velikosti prvku",[4761,7202],{"kind":7203},"mesh",[11,7205,7206,7207,7247],{},"Tenká deska, ",[43,7208,7210],{"className":7209},[46],[43,7211,7213,7237],{"className":7212,"ariaHidden":51},[50],[43,7214,7216,7219,7222,7225,7228,7231,7234],{"className":7215},[55],[43,7217],{"className":7218,"style":192},[59],[43,7220,18],{"className":7221},[64,65],[43,7223,474],{"className":7224},[64],[43,7226,6414],{"className":7227},[64,65],[43,7229],{"className":7230,"style":72},[71],[43,7232,77],{"className":7233},[76],[43,7235],{"className":7236,"style":72},[71],[43,7238,7240,7243],{"className":7239},[55],[43,7241],{"className":7242,"style":143},[59],[43,7244,7246],{"className":7245},[64],"100"," a více, je test, který odhalí smykové zamykání (shear locking)\nu prvku Reissner–Mindlin založeného na posunech. Skořepinový prvek nezamyká. Deska, která\ns rostoucí štíhlostí vychází příliš tuhá, je projev zamykajícího prvku a právě na to tento\ntest je.",[24,7249,7251],{"id":7250},"walls-bending-in-their-own-plane","Stěny: ohyb ve vlastní rovině",[11,7253,7254,7255,7297,7298,111,7340,111,7383,111,7427,7470,7471,7513,7514,7549],{},"Tentýž prvek přenáší i působení stěny v její rovině a slabou membránu odhalí vysoká\nkonzola ohýbaná ve vlastní rovině. Vezměte stěnu délky ",[43,7256,7258],{"className":7257},[46],[43,7259,7261,7279],{"className":7260,"ariaHidden":51},[50],[43,7262,7264,7267,7270,7273,7276],{"className":7263},[55],[43,7265],{"className":7266,"style":60},[59],[43,7268,127],{"className":7269},[64,65],[43,7271],{"className":7272,"style":72},[71],[43,7274,77],{"className":7275},[76],[43,7277],{"className":7278,"style":72},[71],[43,7280,7282,7285,7288,7291],{"className":7281},[55],[43,7283],{"className":7284,"style":143},[59],[43,7286,2082],{"className":7287},[64],[43,7289,102],{"className":7290},[71],[43,7292,7294],{"className":7293},[64,106],[43,7295,157],{"className":7296},[64]," a výšky\n",[43,7299,7301],{"className":7300},[46],[43,7302,7304,7322],{"className":7303,"ariaHidden":51},[50],[43,7305,7307,7310,7313,7316,7319],{"className":7306},[55],[43,7308],{"className":7309,"style":60},[59],[43,7311,2846],{"className":7312,"style":2845},[64,65],[43,7314],{"className":7315,"style":72},[71],[43,7317,77],{"className":7318},[76],[43,7320],{"className":7321,"style":72},[71],[43,7323,7325,7328,7331,7334],{"className":7324},[55],[43,7326],{"className":7327,"style":143},[59],[43,7329,539],{"className":7330},[64],[43,7332,102],{"className":7333},[71],[43,7335,7337],{"className":7336},[64,106],[43,7338,157],{"className":7339},[64],[43,7341,7343],{"className":7342},[46],[43,7344,7346,7364],{"className":7345,"ariaHidden":51},[50],[43,7347,7349,7352,7355,7358,7361],{"className":7348},[55],[43,7350],{"className":7351,"style":6410},[59],[43,7353,6414],{"className":7354},[64,65],[43,7356],{"className":7357,"style":72},[71],[43,7359,77],{"className":7360},[76],[43,7362],{"className":7363,"style":72},[71],[43,7365,7367,7370,7374,7377],{"className":7366},[55],[43,7368],{"className":7369,"style":143},[59],[43,7371,7373],{"className":7372},[64],"200",[43,7375,102],{"className":7376},[71],[43,7378,7380],{"className":7379},[64,106],[43,7381,2395],{"className":7382},[64],[43,7384,7386],{"className":7385},[46],[43,7387,7389,7407],{"className":7388,"ariaHidden":51},[50],[43,7390,7392,7395,7398,7401,7404],{"className":7391},[55],[43,7393],{"className":7394,"style":60},[59],[43,7396,67],{"className":7397,"style":66},[64,65],[43,7399],{"className":7400,"style":72},[71],[43,7402,77],{"className":7403},[76],[43,7405],{"className":7406,"style":72},[71],[43,7408,7410,7413,7417,7420],{"className":7409},[55],[43,7411],{"className":7412,"style":60},[59],[43,7414,7416],{"className":7415},[64],"30",[43,7418,102],{"className":7419},[71],[43,7421,7423],{"className":7422},[64,106],[43,7424,7426],{"className":7425},[64],"GPa",[43,7428,7430],{"className":7429},[46],[43,7431,7433,7451],{"className":7432,"ariaHidden":51},[50],[43,7434,7436,7439,7442,7445,7448],{"className":7435},[55],[43,7437],{"className":7438,"style":171},[59],[43,7440,6520],{"className":7441,"style":6519},[64,65],[43,7443],{"className":7444,"style":72},[71],[43,7446,77],{"className":7447},[76],[43,7449],{"className":7450,"style":72},[71],[43,7452,7454,7458,7461,7467],{"className":7453},[55],[43,7455],{"className":7456,"style":7457},[59],"height:0.8389em;vertical-align:-0.1944em;",[43,7459,1915],{"className":7460},[64],[43,7462,7464],{"className":7463},[64],[43,7465,2520],{"className":7466},[2519],[43,7468,349],{"className":7469},[64],", vetknutou\npodél jedné kratší hrany, s posouvající silou ",[43,7472,7474],{"className":7473},[46],[43,7475,7477,7495],{"className":7476,"ariaHidden":51},[50],[43,7478,7480,7483,7486,7489,7492],{"className":7479},[55],[43,7481],{"className":7482,"style":60},[59],[43,7484,370],{"className":7485,"style":369},[64,65],[43,7487],{"className":7488,"style":72},[71],[43,7490,77],{"className":7491},[76],[43,7493],{"className":7494,"style":72},[71],[43,7496,7498,7501,7504,7507],{"className":7497},[55],[43,7499],{"className":7500,"style":2636},[59],[43,7502,7246],{"className":7503},[64],[43,7505,102],{"className":7506},[71],[43,7508,7510],{"className":7509},[64,106],[43,7511,4666],{"className":7512},[64]," rozdělenou po druhé.\nSe smykovou deformací (",[43,7515,7517],{"className":7516},[46],[43,7518,7520,7539],{"className":7519,"ariaHidden":51},[50],[43,7521,7523,7526,7530,7533,7536],{"className":7522},[55],[43,7524],{"className":7525,"style":171},[59],[43,7527,7529],{"className":7528},[64,65],"κ",[43,7531],{"className":7532,"style":72},[71],[43,7534,77],{"className":7535},[76],[43,7537],{"className":7538,"style":72},[71],[43,7540,7542,7545],{"className":7541},[55],[43,7543],{"className":7544,"style":192},[59],[43,7546,7548],{"className":7547},[64],"5\u002F6","):",[43,7551,7553],{"className":7552},[1730],[43,7554,7556],{"className":7555},[46],[43,7557,7559],{"className":7558,"ariaHidden":51},[50],[43,7560,7562,7566],{"className":7561},[55],[43,7563],{"className":7564,"style":7565},[59],"height:3.6771em;vertical-align:-1.5886em;",[43,7567,7569],{"className":7568},[64],[43,7570,7572,7618],{"className":7571},[1750],[43,7573,7575],{"className":7574},[1754],[43,7576,7578,7609],{"className":7577},[264,576],[43,7579,7581,7606],{"className":7580},[268],[43,7582,7585,7597],{"className":7583,"style":7584},[272],"height:2.0886em;",[43,7586,7588,7591],{"style":7587},"top:-4.0886em;",[43,7589],{"className":7590,"style":1771},[280],[43,7592,7594],{"className":7593},[64],[43,7595,1792],{"className":7596,"style":1791},[64,65],[43,7598,7600,7603],{"style":7599},"top:-2.2626em;",[43,7601],{"className":7602,"style":1771},[280],[43,7604],{"className":7605},[64],[43,7607,605],{"className":7608},[604],[43,7610,7612],{"className":7611},[268],[43,7613,7616],{"className":7614,"style":7615},[272],"height:1.5886em;",[43,7617],{},[43,7619,7621],{"className":7620},[1808],[43,7622,7624,7917],{"className":7623},[264,576],[43,7625,7627,7914],{"className":7626},[268],[43,7628,7630,7827],{"className":7629,"style":7584},[272],[43,7631,7632,7635],{"style":7587},[43,7633],{"className":7634,"style":1771},[280],[43,7636,7638,7641,7644,7647,7650,7747,7750,7753,7756],{"className":7637},[64],[43,7639],{"className":7640},[64],[43,7642],{"className":7643,"style":72},[71],[43,7645,77],{"className":7646},[76],[43,7648],{"className":7649,"style":72},[71],[43,7651,7653,7656,7744],{"className":7652},[64],[43,7654],{"className":7655},[534,1844],[43,7657,7659],{"className":7658},[1848],[43,7660,7662,7736],{"className":7661},[264,576],[43,7663,7665,7733],{"className":7664},[268],[43,7666,7668,7685,7693],{"className":7667,"style":1858},[272],[43,7669,7670,7673],{"style":1861},[43,7671],{"className":7672,"style":1865},[280],[43,7674,7676,7679,7682],{"className":7675},[64],[43,7677,400],{"className":7678},[64],[43,7680,67],{"className":7681,"style":66},[64,65],[43,7683,304],{"className":7684,"style":303},[64,65],[43,7686,7687,7690],{"style":1875},[43,7688],{"className":7689,"style":1865},[280],[43,7691],{"className":7692,"style":1883},[1882],[43,7694,7695,7698],{"style":1886},[43,7696],{"className":7697,"style":1865},[280],[43,7699,7701,7704],{"className":7700},[64],[43,7702,370],{"className":7703,"style":369},[64,65],[43,7705,7707,7710],{"className":7706},[64],[43,7708,127],{"className":7709},[64,65],[43,7711,7713],{"className":7712},[260],[43,7714,7716],{"className":7715},[264],[43,7717,7719],{"className":7718},[268],[43,7720,7722],{"className":7721,"style":273},[272],[43,7723,7724,7727],{"style":276},[43,7725],{"className":7726,"style":281},[280],[43,7728,7730],{"className":7729},[285,286,287,288],[43,7731,400],{"className":7732},[64,288],[43,7734,605],{"className":7735},[604],[43,7737,7739],{"className":7738},[268],[43,7740,7742],{"className":7741,"style":1948},[272],[43,7743],{},[43,7745],{"className":7746},[618,1844],[43,7748],{"className":7749,"style":543},[71],[43,7751,3223],{"className":7752},[547],[43,7754],{"className":7755,"style":543},[71],[43,7757,7759,7762,7824],{"className":7758},[64],[43,7760],{"className":7761},[534,1844],[43,7763,7765],{"className":7764},[1848],[43,7766,7768,7816],{"className":7767},[264,576],[43,7769,7771,7813],{"className":7770},[268],[43,7772,7774,7791,7799],{"className":7773,"style":5002},[272],[43,7775,7776,7779],{"style":1861},[43,7777],{"className":7778,"style":1865},[280],[43,7780,7782,7785,7788],{"className":7781},[64],[43,7783,7529],{"className":7784},[64,65],[43,7786,508],{"className":7787},[64,65],[43,7789,481],{"className":7790},[64,65],[43,7792,7793,7796],{"style":1875},[43,7794],{"className":7795,"style":1865},[280],[43,7797],{"className":7798,"style":1883},[1882],[43,7800,7801,7804],{"style":1886},[43,7802],{"className":7803,"style":1865},[280],[43,7805,7807,7810],{"className":7806},[64],[43,7808,370],{"className":7809,"style":369},[64,65],[43,7811,127],{"className":7812},[64,65],[43,7814,605],{"className":7815},[604],[43,7817,7819],{"className":7818},[268],[43,7820,7822],{"className":7821,"style":1948},[272],[43,7823],{},[43,7825],{"className":7826},[618,1844],[43,7828,7829,7832],{"style":7599},[43,7830],{"className":7831,"style":1771},[280],[43,7833,7835,7838,7841,7844,7847,7851,7857,7861,7864,7867,7870,7873,7879,7883,7886,7889,7892,7895,7901,7905,7908],{"className":7834},[64],[43,7836],{"className":7837},[64],[43,7839],{"className":7840,"style":72},[71],[43,7842,77],{"className":7843},[76],[43,7845],{"className":7846,"style":72},[71],[43,7848,7850],{"className":7849},[64],"14",[43,7852,7854],{"className":7853},[64],[43,7855,2520],{"className":7856},[2519],[43,7858,7860],{"className":7859},[64],"40",[43,7862],{"className":7863,"style":543},[71],[43,7865,3223],{"className":7866},[547],[43,7868],{"className":7869,"style":543},[71],[43,7871,1915],{"className":7872},[64],[43,7874,7876],{"className":7875},[64],[43,7877,2520],{"className":7878},[2519],[43,7880,7882],{"className":7881},[64],"29",[43,7884],{"className":7885,"style":72},[71],[43,7887,77],{"className":7888},[76],[43,7890],{"className":7891,"style":72},[71],[43,7893,7850],{"className":7894},[64],[43,7896,7898],{"className":7897},[64],[43,7899,2520],{"className":7900},[2519],[43,7902,7904],{"className":7903},[64],"69",[43,7906,102],{"className":7907},[71],[43,7909,7911],{"className":7910},[64,106],[43,7912,2395],{"className":7913},[64],[43,7915,605],{"className":7916},[604],[43,7918,7920],{"className":7919},[268],[43,7921,7923],{"className":7922,"style":7615},[272],[43,7924],{},[11,7926,7927],{},"Jemná síť rovinné napjatosti konverguje k 14,67 mm; rozdíl 0,15 % mezi oběma hodnotami\nzpůsobuje vetknutý okraj, který teorie nosníků nevidí. Průhyb v rovině odečtěte na volném\nkonci jako průměr přes jeho uzly.",[633,7929,7930,7938],{},[636,7931,7932],{},[639,7933,7934,7936],{},[642,7935,7153],{},[642,7937,873],{},[652,7939,7940,7948],{},[639,7941,7942,7945],{},[657,7943,7944],{},"6 × 1, jeden prvek po výšce",[657,7946,7947],{},"Asi o 1 % méně",[639,7949,7950,7953],{},[657,7951,7952],{},"Jemnější sítě",[657,7954,7955],{},"Konvergují k 14,67 mm",[11,7957,7958,7959,22],{},"Prostá čtyřuzlová membrána dosáhne na síti 6 × 1 asi 68 %. Pokud stěna vychází takto\ntuhá, membrána se zamyká a právě tato úloha to ukáže. Když vnitřní hrany prvků nakloníte,\nvýsledek klesne – při naklonění o 40 % šířky prvku asi na 80 % – protože žádná čtyřuzlová\nmembrána, která splňuje patch test, není na lichoběžníku přesná. Viz\n",[18,7960,7962],{"href":7961},"\u002Fcs\u002Fkb\u002Ftheory\u002Felement-formulations#walls-and-deep-beams-the-membrane","Formulace prvků",[24,7964,7966],{"id":7965},"reakce-univerzální-kontrola","Reakce: univerzální kontrola",[7968,7969,7972,7975,8032],"callout",{"title":7970,"type":7971},"Reakce jsou v rovnováze se zatížením","check",[11,7973,7974],{},"Každá úloha výše i každý skutečný model splňuje tutéž identitu: součet reakcí se rovná\nsoučtu působících zatížení, v každém směru, pro každý zatěžovací stav.",[43,7976,7978],{"className":7977},[1730],[43,7979,7981],{"className":7980},[46],[43,7982,7984,8016],{"className":7983,"ariaHidden":51},[50],[43,7985,7987,7991,7999,8002,8007,8010,8013],{"className":7986},[55],[43,7988],{"className":7989,"style":7990},[59],"height:1.6em;vertical-align:-0.55em;",[43,7992,7998],{"className":7993,"style":7997},[7994,7995,7996],"mop","op-symbol","large-op","position:relative;top:0em;","∑",[43,8000],{"className":8001,"style":94},[71],[43,8003,8006],{"className":8004,"style":8005},[64,65],"margin-right:0.0077em;","R",[43,8008],{"className":8009,"style":72},[71],[43,8011,77],{"className":8012},[76],[43,8014],{"className":8015,"style":72},[71],[43,8017,8019,8022,8025,8028],{"className":8018},[55],[43,8020],{"className":8021,"style":7990},[59],[43,8023,7998],{"className":8024,"style":7997},[7994,7995,7996],[43,8026],{"className":8027,"style":94},[71],[43,8029,8031],{"className":8030,"style":369},[64,65],"F",[11,8033,8034,8035,22],{},"Otevřete tabulku reakcí a sečtěte ji. Neshoda nad rámec zaokrouhlení znamená zatížení\npůsobící na něco, co není spojeno s podporami – viz\n",[18,8036,8038],{"href":8037},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Ffirst-analysis","První výpočet",[24,8040,8042],{"id":8041},"křížová-kontrola-v-jiném-řešiči","Křížová kontrola v jiném řešiči",[11,8044,8045,8046,8050,8051,8055],{},"Nad rámec analytických úloh je skutečným testem modelu spočítat ho jinde.\nV tarifu Pro Elementarium exportuje\n",[18,8047,8049],{"href":8048},"\u002Fcs\u002Fkb\u002Freports\u002Fexchange","sešit SAF",", který čtou SCIA Engineer, RFEM a další (a také\n",[18,8052,8054],{"href":8053},"\u002Fcs\u002Fkb\u002Freports\u002Fexchange#oofem-an-input-deck-for-independent-verification","vstupní soubor OOFEM",",\npokud máte k dispozici OOFEM). Postavte\nposuny vedle sebe. Shoda dvou nezávislých implementací je důkaz, který skeptický\nkontrolor přijme.",[24,8057,8059],{"id":8058},"když-se-neshodují","Když se neshodují",[11,8061,8062],{},"Projděte postupně:",[29,8064,8065],{},[32,8066,8067,8076,8082,8088,8093],{},[35,8068,8069,8072,8073,22],{},[38,8070,8071],{},"Jednotky"," – násobek je 1 000 nebo 10⁶. ",[18,8074,8071],{"href":8075},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Funits",[35,8077,8078,8081],{},[38,8079,8080],{},"Podpory"," – analytické řešení předpokládá určité podepření; model má to, které jste\nmu dali. Kloub brání jen posunům.",[35,8083,8084,8087],{},[38,8085,8086],{},"Diskretizace"," – úlohy stability, modální analýzy a desek konvergují; než cokoli\nuzavřete, podívejte se do tabulek výše.",[35,8089,8090,8092],{},[38,8091,2436],{}," – málo štíhlý nosník je poddajnější, než říká čistý ohyb, a je\nto správně: u IPE 400 o rozpětí 2 m zhruba o třetinu.",[35,8094,8095,8098,8099,22],{},[38,8096,8097],{},"Znaménková konvence"," – záporná hodnota tam, kde čekáte kladnou, je obvykle směr\nlokální osy. ",[18,8100,8102],{"href":8101},"\u002Fcs\u002Fkb\u002Ftheory\u002Fsign-conventions","Znaménkové konvence",[11,8104,8105,8106,8110],{},"Pokud nic z toho neshodu nevysvětlí, jde o chybu nebo omezení, které stojí za nahlášení.\nPošlete projekt a ruční výpočet na\n",[18,8107,8109],{"href":8108},"mailto:hello@elementarium.app","hello@elementarium.app","; během beta verze se dostane\npřímo k vývojářům řešiče a opraví se buď řešič, nebo tato stránka.",{"title":8112,"searchDepth":8113,"depth":8113,"links":8114},"",2,[8115,8116,8120,8121,8122,8123,8124,8125,8126,8127],{"id":26,"depth":8113,"text":27},{"id":623,"depth":8113,"text":624,"children":8117},[8118],{"id":2435,"depth":8119,"text":2436},3,{"id":2619,"depth":8113,"text":2620},{"id":3649,"depth":8113,"text":3650},{"id":4751,"depth":8113,"text":4752},{"id":6377,"depth":8113,"text":6378},{"id":7250,"depth":8113,"text":7251},{"id":7965,"depth":8113,"text":7966},{"id":8041,"depth":8113,"text":8042},{"id":8058,"depth":8113,"text":8059},"Úlohy s analytickým řešením, které za deset minut otestují řešič – nosníky, rámy, sloupy, desky a frekvence – s očekávanou chybou každé z nich.","md",false,{},true,null,6,"\u002Fcs\u002Fkb\u002Fanalysis\u002Fverification",{"title":6,"description":8128},{"loc":8135},"cs\u002Fkb\u002Fanalysis\u002Fverification","5kdAnHjd7Ep8l2mWxBV9pkypx8zHud9K2WcZGq7rFpk",{"sections":8141,"extras":8436,"flat":8449},[8142,8172,8213,8231,8266,8291,8318,8348,8375,8398,8413],{"path":8143,"slug":8144,"title":8145,"description":8146,"icon":8147,"articles":8148},"\u002Fcs\u002Fkb\u002Fgetting-started","getting-started","Začínáme","Od prázdné záložky k spočítané a posouzené konstrukci – tři návody, po kterých v Elementariu začnete normálně pracovat.","lucide:rocket",[8149,8151,8155,8159,8161,8165,8168],{"path":8075,"title":8071,"description":8150,"translated":8132},"Jak fungují jednotky – uvnitř SI, na obrazovce vaše soustava – a převody, které stojí za většinou chybných výsledků ve statických modelech.",{"path":8152,"title":8153,"description":8154,"translated":8132},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Fkeyboard-shortcuts","Klávesové zkratky","Všechny klávesové zkratky v pracovním prostředí, gesta myši v oknech pohledů, co přijímají číselná pole a čemu rozumí paleta příkazů.",{"path":8156,"title":8157,"description":8158,"translated":8132},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Finterface-tour","Prohlídka pracovního prostředí","Pás karet, panel vlastností, ukotvitelná okna pohledů, tabulkový dok, paleta příkazů a stavový řádek – k čemu slouží jednotlivé části editoru.",{"path":8037,"title":8038,"description":8160,"translated":8132},"Zatěžovací stavy, kombinace a lineární statika – a pak hlavně to, jak rozhodnout, zda se výsledku dá věřit.",{"path":8162,"title":8163,"description":8164,"translated":8132},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Fscope-and-limits","Rozsah a omezení","Co Elementarium dnes modeluje, počítá a posuzuje a co ne – na jedné stránce, než mu svěříte zakázku.",{"path":3645,"title":8166,"description":8167,"translated":8132},"Rychlý start","Vymodelujte rámovou halu, zatižte ji, spočítejte a přečtěte průběh ohybových momentů – zhruba deset minut od prázdné záložky.",{"path":8169,"title":8170,"description":8171,"translated":8132},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Fsystem-requirements","Systémové požadavky","Ve kterých prohlížečích a na jakých zařízeních Elementarium běží, jak vlákna ovlivňují rychlost výpočtu a kde je praktický strop velikosti modelu.",{"path":8173,"slug":8174,"title":8175,"description":8176,"icon":8177,"articles":8178},"\u002Fcs\u002Fkb\u002Fmodeling","modeling","Modelování","Pruty, nosníky, prostorové rámy, desky a stěny. Geometrie, průřezy, podpory a klouby, které se chovají jako skutečná konstrukce.","lucide:frame",[8179,8183,8187,8191,8195,8199,8201,8205,8209],{"path":8180,"title":8181,"description":8182,"translated":8132},"\u002Fcs\u002Fkb\u002Fmodeling\u002Fsurfaces","Desky, stěny a skořepiny","Modelování plošných prvků v Elementariu – obrysy, otvory a tloušťka, jak se k desce připojí nosník nebo stěna, lokální osy a co znamená výsledek na ploše.",{"path":8184,"title":8185,"description":8186,"translated":8132},"\u002Fcs\u002Fkb\u002Fmodeling\u002Fstructure-generators","Generátory konstrukcí","Pětatřicet parametrických konstrukcí – příhradové nosníky, rámy, oblouky, stožáry, kopule a skořepiny – z několika rozměrů, s podporami a zatížením.",{"path":8188,"title":8189,"description":8190,"translated":8132},"\u002Fcs\u002Fkb\u002Fmodeling\u002Fsupports-and-releases","Podpory a klouby","Klouby, vetknutí, pružiny a uvolnění konců prutů – co každé z nich dělá s maticí tuhosti a kdy je které správné.",{"path":8192,"title":8193,"description":8194,"translated":8132},"\u002Fcs\u002Fkb\u002Fmodeling\u002Fsections-and-materials","Průřezy a materiály","Čím průřez a materiál přispívají do matice tuhosti a do posudků – každá vlastnost, k čemu slouží a které hodnoty stojí za to zkontrolovat dvakrát.",{"path":8196,"title":8197,"description":8198,"translated":8132},"\u002Fcs\u002Fkb\u002Fmodeling\u002Felastic-foundations","Pružné podloží","Základové prahy, pásové základy a stěny na zemině jako liniové podpory na pružinách – volba součinitele ložnosti a kde model přestává platit.",{"path":3638,"title":3639,"description":8200,"translated":8132},"Celý postup modelování od začátku do konce – geometrie, průřezy, podpory a klouby – na konstrukci tak malé, že ji zkontrolujete ručně.",{"path":8202,"title":8203,"description":8204,"translated":8132},"\u002Fcs\u002Fkb\u002Fmodeling\u002Fbars-beams-and-trusses","Příhradové pruty, nosníky a příhradoviny","Kdy má být prut příhradový a kdy nosník, jak modelovat příhradoviny a ztužidla bez vytvoření mechanismu a co dělat s prvky, které působí jen v tahu.",{"path":8206,"title":8207,"description":8208,"translated":8132},"\u002Fcs\u002Fkb\u002Fmodeling\u002Fplane-frames-in-3d","Rovinné rámy v prostorovém řešiči","Kdy použít typy modelu 2D rám a 2D příhradovina, proč je plochá konstrukce ve 3D modelu mechanismus a jak ji podepřít.",{"path":8210,"title":8211,"description":8212,"translated":8132},"\u002Fcs\u002Fkb\u002Fmodeling\u002Fdrawings-and-snapping","Výkresy a přichytávání","Import DXF jako podkladového výkresu, volba jeho jednotek a roviny a přesné přichytávání geometrie modelu k němu.",{"path":8214,"slug":8215,"title":8216,"description":8217,"icon":8218,"articles":8219},"\u002Fcs\u002Fkb\u002Fmeshing","meshing","Síťování","Hustota sítě, lokální zjemnění a kontroly kvality, které ukážou, kdy je síť dost jemná na to, aby se jí dalo věřit.","lucide:grid-3x3",[8220,8224,8228],{"path":8221,"title":8222,"description":8223,"translated":8132},"\u002Fcs\u002Fkb\u002Fmeshing\u002Fquality-checks","Kvalita sítě","Poměr stran, zkosení a zborcení – co zhoršuje výsledek, co generátor sítě hlásí a jak poznat, zda na prvcích, kterých se obáváte, vůbec záleží.",{"path":8225,"title":8226,"description":8227,"translated":8132},"\u002Fcs\u002Fkb\u002Fmeshing\u002Frefinement","Lokální zjemnění","Kam prvky investovat, kde se tím nezdržovat a jak zjemnit síť, aniž byste zničili tvar prvků.",{"path":8229,"title":7200,"description":8230,"translated":8132},"\u002Fcs\u002Fkb\u002Fmeshing\u002Felement-size","Výchozí hustoty sítě pro desky, stěny a základové desky a test konvergence, který rozhodne, zda je síť dost jemná.",{"path":8232,"slug":8233,"title":8234,"description":8235,"icon":8236,"articles":8237},"\u002Fcs\u002Fkb\u002Floads","loads","Zatížení a kombinace","Sestavení zatěžovacích stavů, automatické generování normových kombinací a zjištění, která z nich skutečně rozhoduje.","lucide:arrow-down-to-line",[8238,8242,8246,8250,8254,8258,8262],{"path":8239,"title":8240,"description":8241,"translated":8132},"\u002Fcs\u002Fkb\u002Floads\u002Fcombinations","Automatické kombinace","Generování kombinací podle EN 1990 a ASCE 7, rovnice, které za nimi stojí, a kritické čtení vygenerované sady.",{"path":8243,"title":8244,"description":8245,"translated":8132},"\u002Fcs\u002Fkb\u002Floads\u002Fasce-7-combinations","Kombinace podle ASCE 7","Kombinace LRFD a ASD podle ASCE 7-22 – jak generátor přiřadí vaše skupiny zatížení k D, L, Lr, S, W a E a jak je spárovat s posudkem AISC.",{"path":8247,"title":8248,"description":8249,"translated":8132},"\u002Fcs\u002Fkb\u002Floads\u002Fenvelopes","Obálky","Získání rozhodující hodnoty z desítek kombinací bez čtení každé zvlášť – a pasti, které to obnáší.",{"path":8251,"title":8252,"description":8253,"translated":8132},"\u002Fcs\u002Fkb\u002Floads\u002Ftemperature-loads","Teplotní zatížení","Rovnoměrná změna teploty a gradient po výšce průřezu – co každé z nich dělá s volnou a s vázanou konstrukcí a jaké součinitele použít.",{"path":8255,"title":8256,"description":8257,"translated":8132},"\u002Fcs\u002Fkb\u002Floads\u002Fwind-and-snow","Vítr a sníh","Vítr podle EN 1991-1-4 a sníh podle EN 1991-1-3 generované na obálce budovy – vstupy lokality, tvary střech, vytvářené stavy a meze generátorů.",{"path":8259,"title":8260,"description":8261,"translated":8132},"\u002Fcs\u002Fkb\u002Floads\u002Fload-panels","Zatěžovací panely","Plochy, které předají zatížení stropu, střechy nebo tlak na stěnu okolním prutům jako liniová zatížení, jednosměrně nebo dvousměrně, bez síťování desky.",{"path":8263,"title":8264,"description":8265,"translated":8132},"\u002Fcs\u002Fkb\u002Floads\u002Fload-cases","Zatěžovací stavy","Zatížení, vlastní tíha, užitná zatížení a jejich uspořádání – jak sestavit stavy tak, aby zůstaly oddělitelné.",{"path":8267,"slug":8268,"title":8269,"description":8270,"icon":8271,"articles":8272},"\u002Fcs\u002Fkb\u002Fanalysis","analysis","Typy analýz","Lineární statika, modální analýza, lineární stabilita a teorie II. řádu – co která analýza předpokládá, co vrací a jak její výsledek číst.","lucide:activity",[8273,8276,8280,8282,8283,8287],{"path":4167,"title":8274,"description":8275,"translated":8132},"Lineární stabilita","Kritické součinitele zatížení a tvary vybočení – co znamená α_cr, proč je to horní mez a jak ho použít pro účinky II. řádu.",{"path":8277,"title":8278,"description":8279,"translated":8132},"\u002Fcs\u002Fkb\u002Fanalysis\u002Flinear-static","Lineární statika","Základní analýza pro běžnou praxi – co soustava K u = f skutečně předpokládá, co vrací a kde linearita přestává být rozumným modelem.",{"path":6373,"title":6374,"description":8281,"translated":8132},"Vlastní frekvence a vlastní tvary – modelování hmoty, součinitele účinnosti hmoty a k čemu jsou tato čísla dobrá.",{"path":8135,"title":6,"description":8128,"translated":8132},{"path":8284,"title":8285,"description":8286,"translated":8132},"\u002Fcs\u002Fkb\u002Fanalysis\u002Fsecond-order","Teorie II. řádu","P-Δ a P-δ řešené iterací, geometrické imperfekce podle EN 1993-1-1 §5.3 a proč se výsledek podle teorie II. řádu nedá superponovat.",{"path":8288,"title":8289,"description":8290,"translated":8132},"\u002Fcs\u002Fkb\u002Fanalysis\u002Fsolvers","Volba lineárního řešiče","Sdružené gradienty s Jacobiho, Choleského nebo multigridovým předpodmíněním, nebo přímý rozklad – co který řešič dělá a kdy na volbě záleží.",{"path":8292,"slug":8293,"title":8294,"description":8295,"icon":8296,"articles":8297},"\u002Fcs\u002Fkb\u002Fdesign-checks","design-checks","Posudky","Využití průřezu, rozhodující kombinace a článek normy za každým číslem, které posudek vykáže.","lucide:clipboard-check",[8298,8302,8306,8310,8314],{"path":8299,"title":8300,"description":8301,"translated":8132},"\u002Fcs\u002Fkb\u002Fdesign-checks\u002Fnational-annexes","Národní přílohy","Kde národně stanovené parametry mění výsledek, jak zvolit správnou přílohu a co uvést ve statickém výpočtu.",{"path":8303,"title":8304,"description":8305,"translated":8132},"\u002Fcs\u002Fkb\u002Fdesign-checks\u002Faisc","Ocel — AISC 360","Únosnost prutu podle kapitol D až H, LRFD nebo ASD — vzpěr v tlaku, klopení a všechny varianty C_b sepsané na jednom místě.",{"path":8307,"title":8308,"description":8309,"translated":8132},"\u002Fcs\u002Fkb\u002Fdesign-checks\u002Fsteel","Ocel — EN 1993-1-1","Únosnost prutu podle §6.2 a §6.3 — co se posuzuje v každém řezu, odkud se berou vzpěrné délky a které články normy zůstávají na vás.",{"path":8311,"title":8312,"description":8313,"translated":8132},"\u002Fcs\u002Fkb\u002Fdesign-checks\u002Fserviceability","Posudky použitelnosti","Průhyb, vodorovný posun a frekvence stropu posuzované prut po prutu v MSP, podle národních příloh, EN 1990:2023, IBC, AISC nebo EN 1995-1-1.",{"path":8315,"title":8316,"description":8317,"translated":8132},"\u002Fcs\u002Fkb\u002Fdesign-checks\u002Fsection-classification","Zatřídění průřezu","Jak tabulka 5.2 EN 1993-1-1 zatřiďuje ocelový průřez, proč třída závisí na kombinaci a co posudek udělá s tvarem, který zatřídit neumí.",{"path":8319,"slug":8320,"title":8321,"description":8322,"icon":8323,"articles":8324},"\u002Fcs\u002Fkb\u002Freports","reports","Výsledky a statický výpočet","Průběhy, izoplochy a tabulky v zobrazovacím okně a statický výpočet, který předáváte kontrolorovi.","lucide:file-chart-column",[8325,8329,8333,8336,8340,8344],{"path":8326,"title":8327,"description":8328,"translated":8132},"\u002Fcs\u002Fkb\u002Freports\u002Freading-diagrams","Čtení průběhů","Průběhy ohybových momentů, posouvajících a normálových sil, izoplochy a deformované tvary – konvence za tím, na co se díváte.",{"path":8330,"title":8331,"description":8332,"translated":8132},"\u002Fcs\u002Fkb\u002Freports\u002Fexporting","Export statického výpočtu","Sestavení statického výpočtu, který kontrolor dokáže sledovat – vstupy, model, výsledky a posudky v pořadí, v jakém v něm mají být.",{"path":8048,"title":8334,"description":8335,"translated":8132},"Formáty pro import a export","Strukturální modely IFC a sešity SAF tam i zpět, DXF jako podkladový výkres, tabulky výsledků jako CSV nebo xlsx a vstupní soubor OOFEM.",{"path":8337,"title":8338,"description":8339,"translated":8132},"\u002Fcs\u002Fkb\u002Freports\u002Freviewing","Kontrola statického výpočtu","Pro kontrolujícího statika – jak prověřit model, který jste nestavěli, co statický výpočet zaručuje a na co se ptát nejdřív.",{"path":8341,"title":8342,"description":8343,"translated":8132},"\u002Fcs\u002Fkb\u002Freports\u002Fifc","Strukturální modely IFC","Strukturální analytický pohled IFC tam i zpět – co přinesou soubory IFC2X3, IFC4 a IFC4X3, co nese export a co IFC vyjádřit neumí.",{"path":8345,"title":8346,"description":8347,"translated":8132},"\u002Fcs\u002Fkb\u002Freports\u002Fresult-tables","Tabulky výsledků","Filtrování, řazení a získávání čísel – jak ze spočítaného modelu dostat potřebnou hodnotu bez rolování.",{"path":8349,"slug":8350,"title":8351,"description":8352,"icon":8353,"articles":8354},"\u002Fcs\u002Fkb\u002Fcollaboration","collaboration","Spolupráce a synchronizace","Sdílené modely, úpravy v reálném čase a změny provedené bez připojení, které se po opětovném připojení čistě sloučí.","lucide:users-round",[8355,8359,8363,8367,8371],{"path":8356,"title":8357,"description":8358,"translated":8132},"\u002Fcs\u002Fkb\u002Fcollaboration\u002Fversion-history","Historie verzí","Automatické kontrolní body a pojmenované verze – jak dlouho se uchovávají, náhled dřívějšího stavu a jeho obnovení na místě nebo jako nový projekt.",{"path":8360,"title":8361,"description":8362,"translated":8132},"\u002Fcs\u002Fkb\u002Fcollaboration\u002Fcomments","Komentáře","Vlákna připnutá k uzlům, prutům, deskám nebo bodům, @zmínky, blokující komentáře, které zdrží statický výpočet, a oznámení, která posílají.",{"path":8364,"title":8365,"description":8366,"translated":8132},"\u002Fcs\u002Fkb\u002Fcollaboration\u002Fworking-offline","Práce bez připojení","Co funguje bez připojení, co ne, a jak se změny provedené offline sloučí, až se znovu připojíte.",{"path":8368,"title":8369,"description":8370,"translated":8132},"\u002Fcs\u002Fkb\u002Fcollaboration\u002Fdevices","Práce na více zařízeních","Jeden účet, každé zařízení – jak projekt přechází od stolu k notebooku, tabletu nebo telefonu, co se mění na malé obrazovce a co na každém z nich dělá řešič.",{"path":8372,"title":8373,"description":8374,"translated":8132},"\u002Fcs\u002Fkb\u002Fcollaboration\u002Fsharing-projects","Sdílení projektu","Pozvání lidí do modelu, co která role smí, a jak koordinovat dva statiky v jedné konstrukci.",{"path":8376,"slug":8377,"title":8378,"description":8379,"icon":8380,"articles":8381},"\u002Fcs\u002Fkb\u002Ftheory","theory","Teoretické poznámky","Mechanika uvnitř řešiče – formulace prvků, znaménkové konvence, numerické předpoklady a jejich meze.","lucide:sigma",[8382,8386,8388,8392,8396],{"path":8383,"title":8384,"description":8385,"translated":8132},"\u002Fcs\u002Fkb\u002Ftheory\u002Fdirect-stiffness-method","Deformační metoda","Jak řešič konečných prvků převede model na K u = f a zpět – tuhost prvku, transformace, sestavení, vazby, řešení a dopočet výsledků.",{"path":20,"title":7962,"description":8387,"translated":8132},"Stupně volnosti, interpolace a meze každého typu prvku v řešiči – co který prvek umí vystihnout a co ne.",{"path":8389,"title":8390,"description":8391,"translated":8132},"\u002Fcs\u002Fkb\u002Ftheory\u002Fglossary","Slovník pojmů","Pojmy z MKP a stavební mechaniky tak, jak je používá Elementarium, od stupňů volnosti po MITC4 a využití průřezu, každý s odkazem na svou stránku.",{"path":8393,"title":8394,"description":8395,"translated":8132},"\u002Fcs\u002Fkb\u002Ftheory\u002Fwinkler-foundations","Winklerův podklad","Model podloží za pružným podepřením – co předpokládá, jak volit modul a kde přesně idealizace přestává platit.",{"path":8101,"title":8102,"description":8397,"translated":8132},"Osy, kladné směry a jak číst diagram bez hádání – stránka, která zabrání většině zmatků ve výsledcích.",{"path":8399,"slug":8400,"title":8401,"description":8402,"icon":8403,"articles":8404},"\u002Fcs\u002Fkb\u002Ftroubleshooting","troubleshooting","Řešení potíží","Chyby řešiče, nestabilní modely a výsledky, které vypadají špatně – s obvyklými příčinami uvedenými jako první.","lucide:life-buoy",[8405,8409],{"path":8406,"title":8407,"description":8408,"translated":8132},"\u002Fcs\u002Fkb\u002Ftroubleshooting\u002Fsolver-errors","Chyby řešiče","Co znamená každá třída hlášení řešiče, co ji obvykle 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