[{"data":1,"prerenderedAt":4628},["ShallowReactive",2],{"kb-cs-\u002Fkb\u002Ftheory\u002Fdirect-stiffness-method":3,"kb-nav-cs":4244},{"page":4,"fallback":4234},{"id":5,"title":6,"body":7,"description":4232,"extension":4233,"faq":4234,"meta":4235,"navigation":4236,"ogImage":4237,"order":4238,"path":4239,"raw":4234,"robots":4237,"schemaOrg":4237,"seo":4240,"sitemap":4241,"stem":4242,"__hash__":4243},"content_cs\u002Fcs\u002Fkb\u002Ftheory\u002Fdirect-stiffness-method.md","Deformační metoda",{"type":8,"value":9,"toc":4219},"minimark",[10,14,19,90,132,135,139,202,465,516,603,1111,1170,1174,1194,1306,1346,1350,1369,1633,1707,1710,1741,1857,1861,1902,2520,2593,3186,3192,3198,3204,3228,3232,3379,3398,3402,3463,3649,3722,3729,3733,4145,4148,4152,4216],[11,12,13],"p",{},"Každý výsledek v Elementariu vzniká jedním postupem. Tato stránka jím projde jednou, s tolika\nalgebry, kolik stačí ke sledování, ale ne k implementaci, aby vás číslo, které vás překvapí,\nmělo kam odkázat.",[15,16,18],"h2",{"id":17},"myšlenka","Myšlenka",[11,20,21,22,26,27,52,53,70,71,89],{},"Konstrukce je množina prvků spojených v uzlech. Každý prvek vzdoruje vzájemnému pohybu svých\nuzlů silami úměrnými tomuto pohybu (přesně to znamená „lineárně pružný“) a konstantou\núměrnosti je matice. Sečtěte příspěvky všech prvků ve všech uzlech a dostanete ",[23,24,25],"strong",{},"matici\ntuhosti"," konstrukce ",[28,29,32],"span",{"className":30},[31],"katex",[28,33,37],{"className":34,"ariaHidden":36},[35],"katex-html","true",[28,38,41,46],{"className":39},[40],"base",[28,42],{"className":43,"style":45},[44],"strut","height:0.6861em;",[28,47,51],{"className":48},[49,50],"mord","mathbf","K",", která váže každý uzlový posun ",[28,54,56],{"className":55},[31],[28,57,59],{"className":58,"ariaHidden":36},[35],[28,60,62,66],{"className":61},[40],[28,63],{"className":64,"style":65},[44],"height:0.4444em;",[28,67,69],{"className":68},[49,50],"u"," s každou uzlovou\nsilou ",[28,72,74],{"className":73},[31],[28,75,77],{"className":76,"ariaHidden":36},[35],[28,78,80,84],{"className":79},[40],[28,81],{"className":82,"style":83},[44],"height:0.6944em;",[28,85,88],{"className":86,"style":87},[49,50],"margin-right:0.109em;","f",":",[28,91,94],{"className":92},[93],"katex-display",[28,95,97],{"className":96},[31],[28,98,100,123],{"className":99,"ariaHidden":36},[35],[28,101,103,106,110,115,120],{"className":102},[40],[28,104],{"className":105,"style":45},[44],[28,107,109],{"className":108},[49,50],"Ku",[28,111],{"className":112,"style":114},[113],"mspace","margin-right:0.2778em;",[28,116,119],{"className":117},[118],"mrel","=",[28,121],{"className":122,"style":114},[113],[28,124,126,129],{"className":125},[40],[28,127],{"className":128,"style":83},[44],[28,130,88],{"className":131,"style":87},[49,50],[11,133,134],{},"Známe-li zatížení, vyřešíme posuny. Známe-li posuny, plynou z nich všechny vnitřní síly.\nVšechno ostatní je účetnictví.",[15,136,138],{"id":137},"_1-tuhost-prvku-v-lokálních-osách","1. Tuhost prvku v lokálních osách",[11,140,141,142,147,148,166,167,183,184,201],{},"Každý typ prvku má matici tuhosti zapsanou ve vlastních osách, odvozenou z jeho\n",[143,144,146],"a",{"href":145},"\u002Fcs\u002Fkb\u002Ftheory\u002Felement-formulations","formulace",". Pro prut délky ",[28,149,151],{"className":150},[31],[28,152,154],{"className":153,"ariaHidden":36},[35],[28,155,157,161],{"className":156},[40],[28,158],{"className":159,"style":160},[44],"height:0.6833em;",[28,162,165],{"className":163},[49,164],"mathnormal","L",", plochy ",[28,168,170],{"className":169},[31],[28,171,173],{"className":172,"ariaHidden":36},[35],[28,174,176,179],{"className":175},[40],[28,177],{"className":178,"style":160},[44],[28,180,182],{"className":181},[49,164],"A"," a modulu\n",[28,185,187],{"className":186},[31],[28,188,190],{"className":189,"ariaHidden":36},[35],[28,191,193,196],{"className":192},[40],[28,194],{"className":195,"style":160},[44],[28,197,200],{"className":198,"style":199},[49,164],"margin-right:0.0576em;","E"," má rozměr 2 × 2:",[28,203,205],{"className":204},[93],[28,206,208],{"className":207},[31],[28,209,211,230],{"className":210,"ariaHidden":36},[35],[28,212,214,217,221,224,227],{"className":213},[40],[28,215],{"className":216,"style":83},[44],[28,218,220],{"className":219},[49,50],"k",[28,222],{"className":223,"style":114},[113],[28,225,119],{"className":226},[118],[28,228],{"className":229,"style":114},[113],[28,231,233,237,321,325],{"className":232},[40],[28,234],{"className":235,"style":236},[44],"height:2.4em;vertical-align:-0.95em;",[28,238,240,245,317],{"className":239},[49],[28,241],{"className":242},[243,244],"mopen","nulldelimiter",[28,246,249],{"className":247},[248],"mfrac",[28,250,254,308],{"className":251},[252,253],"vlist-t","vlist-t2",[28,255,258,303],{"className":256},[257],"vlist-r",[28,259,263,277,288],{"className":260,"style":262},[261],"vlist","height:1.3603em;",[28,264,266,271],{"style":265},"top:-2.314em;",[28,267],{"className":268,"style":270},[269],"pstrut","height:3em;",[28,272,274],{"className":273},[49],[28,275,165],{"className":276},[49,164],[28,278,280,283],{"style":279},"top:-3.23em;",[28,281],{"className":282,"style":270},[269],[28,284],{"className":285,"style":287},[286],"frac-line","border-bottom-width:0.04em;",[28,289,291,294],{"style":290},"top:-3.677em;",[28,292],{"className":293,"style":270},[269],[28,295,297,300],{"className":296},[49],[28,298,200],{"className":299,"style":199},[49,164],[28,301,182],{"className":302},[49,164],[28,304,307],{"className":305},[306],"vlist-s","​",[28,309,311],{"className":310},[257],[28,312,315],{"className":313,"style":314},[261],"height:0.686em;",[28,316],{},[28,318],{"className":319},[320,244],"mclose",[28,322],{"className":323,"style":324},[113],"margin-right:0.1667em;",[28,326,329,340,458],{"className":327},[328],"minner",[28,330,334],{"className":331,"style":333},[243,332],"delimcenter","top:0em;",[28,335,339],{"className":336},[337,338],"delimsizing","size3","[",[28,341,343],{"className":342},[49],[28,344,347,402,407,410],{"className":345},[346],"mtable",[28,348,351],{"className":349},[350],"col-align-c",[28,352,354,393],{"className":353},[252,253],[28,355,357,390],{"className":356},[257],[28,358,361,374],{"className":359,"style":360},[261],"height:1.45em;",[28,362,364,367],{"style":363},"top:-3.61em;",[28,365],{"className":366,"style":270},[269],[28,368,370],{"className":369},[49],[28,371,373],{"className":372},[49],"1",[28,375,377,380],{"style":376},"top:-2.41em;",[28,378],{"className":379,"style":270},[269],[28,381,383,387],{"className":382},[49],[28,384,386],{"className":385},[49],"−",[28,388,373],{"className":389},[49],[28,391,307],{"className":392},[306],[28,394,396],{"className":395},[257],[28,397,400],{"className":398,"style":399},[261],"height:0.95em;",[28,401],{},[28,403],{"className":404,"style":406},[405],"arraycolsep","width:0.5em;",[28,408],{"className":409,"style":406},[405],[28,411,413],{"className":412},[350],[28,414,416,450],{"className":415},[252,253],[28,417,419,447],{"className":418},[257],[28,420,422,436],{"className":421,"style":360},[261],[28,423,424,427],{"style":363},[28,425],{"className":426,"style":270},[269],[28,428,430,433],{"className":429},[49],[28,431,386],{"className":432},[49],[28,434,373],{"className":435},[49],[28,437,438,441],{"style":376},[28,439],{"className":440,"style":270},[269],[28,442,444],{"className":443},[49],[28,445,373],{"className":446},[49],[28,448,307],{"className":449},[306],[28,451,453],{"className":452},[257],[28,454,456],{"className":455,"style":399},[261],[28,457],{},[28,459,461],{"className":460,"style":333},[320,332],[28,462,464],{"className":463},[337,338],"]",[11,466,467,468,485,486,515],{},"Přitlačte jeden konec ke druhému o ",[28,469,471],{"className":470},[31],[28,472,474],{"className":473,"ariaHidden":36},[35],[28,475,477,480],{"className":476},[40],[28,478],{"className":479,"style":83},[44],[28,481,484],{"className":482,"style":483},[49,164],"margin-right:0.0379em;","δ"," a prut se vzepře silou ",[28,487,489],{"className":488},[31],[28,490,492],{"className":491,"ariaHidden":36},[35],[28,493,495,499,502,505,508,512],{"className":494},[40],[28,496],{"className":497,"style":498},[44],"height:1em;vertical-align:-0.25em;",[28,500,200],{"className":501,"style":199},[49,164],[28,503,182],{"className":504},[49,164],[28,506,484],{"className":507,"style":483},[49,164],[28,509,511],{"className":510},[49],"\u002F",[28,513,165],{"className":514},[49,164],". Matice\nnosníku má rozměr 12 × 12 (šest stupňů volnosti v každém ze dvou uzlů) a její ohybové členy\nvycházejí z kubické interpolace, proto je prizmatický nosník s rovnoměrným zatížením přesný\nbez dělení. Matice skořepinového prvku má rozměr 24 × 24 a integruje se numericky v Gaussových\nbodech.",[11,517,518,519,536,537,570,571,602],{},"Známé nosníkové členy tam najdete. Moment potřebný k pootočení jednoho konce nosníku\no ",[28,520,522],{"className":521},[31],[28,523,525],{"className":524,"ariaHidden":36},[35],[28,526,528,531],{"className":527},[40],[28,529],{"className":530,"style":83},[44],[28,532,535],{"className":533,"style":534},[49,164],"margin-right:0.0278em;","θ"," při vetknutém druhém konci je ",[28,538,540],{"className":539},[31],[28,541,543],{"className":542,"ariaHidden":36},[35],[28,544,546,549,553,556,561,564,567],{"className":545},[40],[28,547],{"className":548,"style":498},[44],[28,550,552],{"className":551},[49],"4",[28,554,200],{"className":555,"style":199},[49,164],[28,557,560],{"className":558,"style":559},[49,164],"margin-right:0.0785em;","I",[28,562,535],{"className":563,"style":534},[49,164],[28,565,511],{"className":566},[49],[28,568,165],{"className":569},[49,164]," a moment, který tím vznikne na\nvzdáleném konci, je ",[28,572,574],{"className":573},[31],[28,575,577],{"className":576,"ariaHidden":36},[35],[28,578,580,583,587,590,593,596,599],{"className":579},[40],[28,581],{"className":582,"style":498},[44],[28,584,586],{"className":585},[49],"2",[28,588,200],{"className":589,"style":199},[49,164],[28,591,560],{"className":592,"style":559},[49,164],[28,594,535],{"className":595,"style":534},[49,164],[28,597,511],{"className":598},[49],[28,600,165],{"className":601},[49,164],". Jsou-li oba konce drženy proti posunu, souvisí koncová\npootočení a momenty vztahem",[28,604,606],{"className":605},[93],[28,607,609],{"className":608},[31],[28,610,612,776],{"className":611,"ariaHidden":36},[35],[28,613,615,618,767,770,773],{"className":614},[40],[28,616],{"className":617,"style":236},[44],[28,619,621,627,761],{"className":620},[328],[28,622,624],{"className":623,"style":333},[243,332],[28,625,339],{"className":626},[337,338],[28,628,630],{"className":629},[49],[28,631,633],{"className":632},[346],[28,634,636],{"className":635},[350],[28,637,639,753],{"className":638},[252,253],[28,640,642,750],{"className":641},[257],[28,643,645,702],{"className":644,"style":360},[261],[28,646,647,650],{"style":363},[28,648],{"className":649,"style":270},[269],[28,651,653],{"className":652},[49],[28,654,656,660],{"className":655},[49],[28,657,659],{"className":658,"style":87},[49,164],"M",[28,661,664],{"className":662},[663],"msupsub",[28,665,667,693],{"className":666},[252,253],[28,668,670,690],{"className":669},[257],[28,671,674],{"className":672,"style":673},[261],"height:0.3011em;",[28,675,677,681],{"style":676},"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;",[28,678],{"className":679,"style":680},[269],"height:2.7em;",[28,682,687],{"className":683},[684,685,338,686],"sizing","reset-size6","mtight",[28,688,373],{"className":689},[49,686],[28,691,307],{"className":692},[306],[28,694,696],{"className":695},[257],[28,697,700],{"className":698,"style":699},[261],"height:0.15em;",[28,701],{},[28,703,704,707],{"style":376},[28,705],{"className":706,"style":270},[269],[28,708,710],{"className":709},[49],[28,711,713,716],{"className":712},[49],[28,714,659],{"className":715,"style":87},[49,164],[28,717,719],{"className":718},[663],[28,720,722,742],{"className":721},[252,253],[28,723,725,739],{"className":724},[257],[28,726,728],{"className":727,"style":673},[261],[28,729,730,733],{"style":676},[28,731],{"className":732,"style":680},[269],[28,734,736],{"className":735},[684,685,338,686],[28,737,586],{"className":738},[49,686],[28,740,307],{"className":741},[306],[28,743,745],{"className":744},[257],[28,746,748],{"className":747,"style":699},[261],[28,749],{},[28,751,307],{"className":752},[306],[28,754,756],{"className":755},[257],[28,757,759],{"className":758,"style":399},[261],[28,760],{},[28,762,764],{"className":763,"style":333},[320,332],[28,765,464],{"className":766},[337,338],[28,768],{"className":769,"style":114},[113],[28,771,119],{"className":772},[118],[28,774],{"className":775,"style":114},[113],[28,777,779,782,847,850,967,970],{"className":778},[40],[28,780],{"className":781,"style":236},[44],[28,783,785,788,844],{"className":784},[49],[28,786],{"className":787},[243,244],[28,789,791],{"className":790},[248],[28,792,794,836],{"className":793},[252,253],[28,795,797,833],{"className":796},[257],[28,798,800,811,819],{"className":799,"style":262},[261],[28,801,802,805],{"style":265},[28,803],{"className":804,"style":270},[269],[28,806,808],{"className":807},[49],[28,809,165],{"className":810},[49,164],[28,812,813,816],{"style":279},[28,814],{"className":815,"style":270},[269],[28,817],{"className":818,"style":287},[286],[28,820,821,824],{"style":290},[28,822],{"className":823,"style":270},[269],[28,825,827,830],{"className":826},[49],[28,828,200],{"className":829,"style":199},[49,164],[28,831,560],{"className":832,"style":559},[49,164],[28,834,307],{"className":835},[306],[28,837,839],{"className":838},[257],[28,840,842],{"className":841,"style":314},[261],[28,843],{},[28,845],{"className":846},[320,244],[28,848],{"className":849,"style":324},[113],[28,851,853,859,961],{"className":852},[328],[28,854,856],{"className":855,"style":333},[243,332],[28,857,339],{"className":858},[337,338],[28,860,862],{"className":861},[49],[28,863,865,910,913,916],{"className":864},[346],[28,866,868],{"className":867},[350],[28,869,871,902],{"className":870},[252,253],[28,872,874,899],{"className":873},[257],[28,875,877,888],{"className":876,"style":360},[261],[28,878,879,882],{"style":363},[28,880],{"className":881,"style":270},[269],[28,883,885],{"className":884},[49],[28,886,552],{"className":887},[49],[28,889,890,893],{"style":376},[28,891],{"className":892,"style":270},[269],[28,894,896],{"className":895},[49],[28,897,586],{"className":898},[49],[28,900,307],{"className":901},[306],[28,903,905],{"className":904},[257],[28,906,908],{"className":907,"style":399},[261],[28,909],{},[28,911],{"className":912,"style":406},[405],[28,914],{"className":915,"style":406},[405],[28,917,919],{"className":918},[350],[28,920,922,953],{"className":921},[252,253],[28,923,925,950],{"className":924},[257],[28,926,928,939],{"className":927,"style":360},[261],[28,929,930,933],{"style":363},[28,931],{"className":932,"style":270},[269],[28,934,936],{"className":935},[49],[28,937,586],{"className":938},[49],[28,940,941,944],{"style":376},[28,942],{"className":943,"style":270},[269],[28,945,947],{"className":946},[49],[28,948,552],{"className":949},[49],[28,951,307],{"className":952},[306],[28,954,956],{"className":955},[257],[28,957,959],{"className":958,"style":399},[261],[28,960],{},[28,962,964],{"className":963,"style":333},[320,332],[28,965,464],{"className":966},[337,338],[28,968],{"className":969,"style":324},[113],[28,971,973,979,1105],{"className":972},[328],[28,974,976],{"className":975,"style":333},[243,332],[28,977,339],{"className":978},[337,338],[28,980,982],{"className":981},[49],[28,983,985],{"className":984},[346],[28,986,988],{"className":987},[350],[28,989,991,1097],{"className":990},[252,253],[28,992,994,1094],{"className":993},[257],[28,995,997,1046],{"className":996,"style":360},[261],[28,998,999,1002],{"style":363},[28,1000],{"className":1001,"style":270},[269],[28,1003,1005],{"className":1004},[49],[28,1006,1008,1011],{"className":1007},[49],[28,1009,535],{"className":1010,"style":534},[49,164],[28,1012,1014],{"className":1013},[663],[28,1015,1017,1038],{"className":1016},[252,253],[28,1018,1020,1035],{"className":1019},[257],[28,1021,1023],{"className":1022,"style":673},[261],[28,1024,1026,1029],{"style":1025},"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;",[28,1027],{"className":1028,"style":680},[269],[28,1030,1032],{"className":1031},[684,685,338,686],[28,1033,373],{"className":1034},[49,686],[28,1036,307],{"className":1037},[306],[28,1039,1041],{"className":1040},[257],[28,1042,1044],{"className":1043,"style":699},[261],[28,1045],{},[28,1047,1048,1051],{"style":376},[28,1049],{"className":1050,"style":270},[269],[28,1052,1054],{"className":1053},[49],[28,1055,1057,1060],{"className":1056},[49],[28,1058,535],{"className":1059,"style":534},[49,164],[28,1061,1063],{"className":1062},[663],[28,1064,1066,1086],{"className":1065},[252,253],[28,1067,1069,1083],{"className":1068},[257],[28,1070,1072],{"className":1071,"style":673},[261],[28,1073,1074,1077],{"style":1025},[28,1075],{"className":1076,"style":680},[269],[28,1078,1080],{"className":1079},[684,685,338,686],[28,1081,586],{"className":1082},[49,686],[28,1084,307],{"className":1085},[306],[28,1087,1089],{"className":1088},[257],[28,1090,1092],{"className":1091,"style":699},[261],[28,1093],{},[28,1095,307],{"className":1096},[306],[28,1098,1100],{"className":1099},[257],[28,1101,1103],{"className":1102,"style":399},[261],[28,1104],{},[28,1106,1108],{"className":1107,"style":333},[320,332],[28,1109,464],{"className":1110},[337,338],[11,1112,1113,1114,1141,1142,1169],{},"To jsou hodnoty ",[28,1115,1117],{"className":1116},[31],[28,1118,1120],{"className":1119,"ariaHidden":36},[35],[28,1121,1123,1126,1129,1132,1135,1138],{"className":1122},[40],[28,1124],{"className":1125,"style":498},[44],[28,1127,552],{"className":1128},[49],[28,1130,200],{"className":1131,"style":199},[49,164],[28,1133,560],{"className":1134,"style":559},[49,164],[28,1136,511],{"className":1137},[49],[28,1139,165],{"className":1140},[49,164]," a ",[28,1143,1145],{"className":1144},[31],[28,1146,1148],{"className":1147,"ariaHidden":36},[35],[28,1149,1151,1154,1157,1160,1163,1166],{"className":1150},[40],[28,1152],{"className":1153,"style":498},[44],[28,1155,586],{"className":1156},[49],[28,1158,200],{"className":1159,"style":199},[49,164],[28,1161,560],{"className":1162,"style":559},[49,164],[28,1164,511],{"className":1165},[49],[28,1167,165],{"className":1168},[49,164]," z Crossovy metody, což je tatáž metoda počítaná ručně.",[15,1171,1173],{"id":1172},"_2-transformace-do-globálních-os","2. Transformace do globálních os",[11,1175,1176,1177,1193],{},"Osy prvku míří podél prvku; osy konstrukce ne. Každá matice prvku se natočí do globálního\nsystému transformační maticí ",[28,1178,1180],{"className":1179},[31],[28,1181,1183],{"className":1182,"ariaHidden":36},[35],[28,1184,1186,1189],{"className":1185},[40],[28,1187],{"className":1188,"style":45},[44],[28,1190,1192],{"className":1191},[49,50],"T"," sestavenou ze směrových kosinů prutu:",[28,1195,1197],{"className":1196},[93],[28,1198,1200],{"className":1199},[31],[28,1201,1203,1256],{"className":1202,"ariaHidden":36},[35],[28,1204,1206,1210,1247,1250,1253],{"className":1205},[40],[28,1207],{"className":1208,"style":1209},[44],"height:0.8312em;",[28,1211,1214],{"className":1212},[49,1213],"accent",[28,1215,1217],{"className":1216},[252],[28,1218,1220],{"className":1219},[257],[28,1221,1223,1232],{"className":1222,"style":1209},[261],[28,1224,1226,1229],{"style":1225},"top:-3em;",[28,1227],{"className":1228,"style":270},[269],[28,1230,220],{"className":1231},[49,50],[28,1233,1235,1238],{"style":1234},"top:-3.2634em;",[28,1236],{"className":1237,"style":270},[269],[28,1239,1243],{"className":1240,"style":1242},[1241],"accent-body","left:-0.25em;",[28,1244,1246],{"className":1245},[49],"ˉ",[28,1248],{"className":1249,"style":114},[113],[28,1251,119],{"className":1252},[118],[28,1254],{"className":1255,"style":114},[113],[28,1257,1259,1263,1294,1297,1300,1303],{"className":1258},[40],[28,1260],{"className":1261,"style":1262},[44],"height:0.8991em;",[28,1264,1266,1269],{"className":1265},[49],[28,1267,1192],{"className":1268},[49,50],[28,1270,1272],{"className":1271},[663],[28,1273,1275],{"className":1274},[252],[28,1276,1278],{"className":1277},[257],[28,1279,1281],{"className":1280,"style":1262},[261],[28,1282,1284,1287],{"style":1283},"top:-3.113em;margin-right:0.05em;",[28,1285],{"className":1286,"style":680},[269],[28,1288,1290],{"className":1289},[684,685,338,686],[28,1291,1192],{"className":1292},[49,1293,686],"mathsf",[28,1295],{"className":1296,"style":324},[113],[28,1298,220],{"className":1299},[49,50],[28,1301],{"className":1302,"style":324},[113],[28,1304,1192],{"className":1305},[49,50],[11,1307,1308,1309,1313,1314,1329,1330,1345],{},"Tady vstupuje do hry ",[143,1310,1312],{"href":1311},"\u002Fcs\u002Fkb\u002Ftheory\u002Fsign-conventions#local-member-axes","konvence lokálních os",":\nprut nakreslený z A do B a prut nakreslený z B do A mají různé ",[28,1315,1317],{"className":1316},[31],[28,1318,1320],{"className":1319,"ariaHidden":36},[35],[28,1321,1323,1326],{"className":1322},[40],[28,1324],{"className":1325,"style":45},[44],[28,1327,1192],{"className":1328},[49,50],", vypisují vnitřní\nsíly s opačnými znaménky a do ",[28,1331,1333],{"className":1332},[31],[28,1334,1336],{"className":1335,"ariaHidden":36},[35],[28,1337,1339,1342],{"className":1338},[40],[28,1340],{"className":1341,"style":45},[44],[28,1343,51],{"className":1344},[49,50]," přispívají stejně.",[15,1347,1349],{"id":1348},"_3-sestavení","3. Sestavení",[11,1351,1352,1353,1368],{},"Každá globální matice prvku se přičte do ",[28,1354,1356],{"className":1355},[31],[28,1357,1359],{"className":1358,"ariaHidden":36},[35],[28,1360,1362,1365],{"className":1361},[40],[28,1363],{"className":1364,"style":45},[44],[28,1366,51],{"className":1367},[49,50]," na řádky a sloupce, které patří\nstupňům volnosti jeho uzlů:",[28,1370,1372],{"className":1371},[93],[28,1373,1375],{"className":1374},[31],[28,1376,1378,1396],{"className":1377,"ariaHidden":36},[35],[28,1379,1381,1384,1387,1390,1393],{"className":1380},[40],[28,1382],{"className":1383,"style":45},[44],[28,1385,51],{"className":1386},[49,50],[28,1388],{"className":1389,"style":114},[113],[28,1391,119],{"className":1392},[118],[28,1394],{"className":1395,"style":114},[113],[28,1397,1399,1403,1461,1464,1517,1520,1590,1593],{"className":1398},[40],[28,1400],{"className":1401,"style":1402},[44],"height:2.3em;vertical-align:-1.25em;",[28,1404,1408],{"className":1405},[1406,1407],"mop","op-limits",[28,1409,1411,1452],{"className":1410},[252,253],[28,1412,1414,1449],{"className":1413},[257],[28,1415,1418,1435],{"className":1416,"style":1417},[261],"height:1.05em;",[28,1419,1421,1425],{"style":1420},"top:-1.9em;margin-left:0em;",[28,1422],{"className":1423,"style":1424},[269],"height:3.05em;",[28,1426,1428],{"className":1427},[684,685,338,686],[28,1429,1431],{"className":1430},[49,686],[28,1432,1434],{"className":1433},[49,164,686],"e",[28,1436,1438,1441],{"style":1437},"top:-3.05em;",[28,1439],{"className":1440,"style":1424},[269],[28,1442,1443],{},[28,1444,1448],{"className":1445},[1406,1446,1447],"op-symbol","large-op","∑",[28,1450,307],{"className":1451},[306],[28,1453,1455],{"className":1454},[257],[28,1456,1459],{"className":1457,"style":1458},[261],"height:1.25em;",[28,1460],{},[28,1462],{"className":1463,"style":324},[113],[28,1465,1467,1470],{"className":1466},[49],[28,1468,182],{"className":1469},[49,50],[28,1471,1473],{"className":1472},[663],[28,1474,1476,1508],{"className":1475},[252,253],[28,1477,1479,1505],{"className":1478},[257],[28,1480,1482,1494],{"className":1481,"style":1262},[261],[28,1483,1485,1488],{"style":1484},"top:-2.453em;margin-left:0em;margin-right:0.05em;",[28,1486],{"className":1487,"style":680},[269],[28,1489,1491],{"className":1490},[684,685,338,686],[28,1492,1434],{"className":1493},[49,164,686],[28,1495,1496,1499],{"style":1283},[28,1497],{"className":1498,"style":680},[269],[28,1500,1502],{"className":1501},[684,685,338,686],[28,1503,1192],{"className":1504},[49,1293,686],[28,1506,307],{"className":1507},[306],[28,1509,1511],{"className":1510},[257],[28,1512,1515],{"className":1513,"style":1514},[261],"height:0.247em;",[28,1516],{},[28,1518],{"className":1519,"style":324},[113],[28,1521,1523,1554],{"className":1522},[49],[28,1524,1526],{"className":1525},[49,1213],[28,1527,1529],{"className":1528},[252],[28,1530,1532],{"className":1531},[257],[28,1533,1535,1543],{"className":1534,"style":1209},[261],[28,1536,1537,1540],{"style":1225},[28,1538],{"className":1539,"style":270},[269],[28,1541,220],{"className":1542},[49,50],[28,1544,1545,1548],{"style":1234},[28,1546],{"className":1547,"style":270},[269],[28,1549,1551],{"className":1550,"style":1242},[1241],[28,1552,1246],{"className":1553},[49],[28,1555,1557],{"className":1556},[663],[28,1558,1560,1582],{"className":1559},[252,253],[28,1561,1563,1579],{"className":1562},[257],[28,1564,1567],{"className":1565,"style":1566},[261],"height:0.1514em;",[28,1568,1570,1573],{"style":1569},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[28,1571],{"className":1572,"style":680},[269],[28,1574,1576],{"className":1575},[684,685,338,686],[28,1577,1434],{"className":1578},[49,164,686],[28,1580,307],{"className":1581},[306],[28,1583,1585],{"className":1584},[257],[28,1586,1588],{"className":1587,"style":699},[261],[28,1589],{},[28,1591],{"className":1592,"style":324},[113],[28,1594,1596,1599],{"className":1595},[49],[28,1597,182],{"className":1598},[49,50],[28,1600,1602],{"className":1601},[663],[28,1603,1605,1625],{"className":1604},[252,253],[28,1606,1608,1622],{"className":1607},[257],[28,1609,1611],{"className":1610,"style":1566},[261],[28,1612,1613,1616],{"style":1569},[28,1614],{"className":1615,"style":680},[269],[28,1617,1619],{"className":1618},[684,685,338,686],[28,1620,1434],{"className":1621},[49,164,686],[28,1623,307],{"className":1624},[306],[28,1626,1628],{"className":1627},[257],[28,1629,1631],{"className":1630,"style":699},[261],[28,1632],{},[11,1634,1635,1636,1689,1690,1706],{},"kde ",[28,1637,1639],{"className":1638},[31],[28,1640,1642],{"className":1641,"ariaHidden":36},[35],[28,1643,1645,1649],{"className":1644},[40],[28,1646],{"className":1647,"style":1648},[44],"height:0.8361em;vertical-align:-0.15em;",[28,1650,1652,1655],{"className":1651},[49],[28,1653,182],{"className":1654},[49,50],[28,1656,1658],{"className":1657},[663],[28,1659,1661,1681],{"className":1660},[252,253],[28,1662,1664,1678],{"className":1663},[257],[28,1665,1667],{"className":1666,"style":1566},[261],[28,1668,1669,1672],{"style":1569},[28,1670],{"className":1671,"style":680},[269],[28,1673,1675],{"className":1674},[684,685,338,686],[28,1676,1434],{"className":1677},[49,164,686],[28,1679,307],{"className":1680},[306],[28,1682,1684],{"className":1683},[257],[28,1685,1687],{"className":1686,"style":699},[261],[28,1688],{}," jen vybírá stupně volnosti prvku ",[28,1691,1693],{"className":1692},[31],[28,1694,1696],{"className":1695,"ariaHidden":36},[35],[28,1697,1699,1703],{"className":1698},[40],[28,1700],{"className":1701,"style":1702},[44],"height:0.4306em;",[28,1704,1434],{"className":1705},[49,164]," z globálního seznamu. Uzel sdílený\ntřemi pruty dostane tři příspěvky do týchž řádků. Přesně to znamená „spojený“ v numerickém\nsmyslu, a proto dva pruty, jejichž konce jsou 3 mm od sebe, spojené nejsou: nemají žádný\nspolečný řádek.",[1708,1709],"diagram-stiffness",{},[11,1711,1712,1727,1728,1731,1732,1735,1736,1740],{},[28,1713,1715],{"className":1714},[31],[28,1716,1718],{"className":1717,"ariaHidden":36},[35],[28,1719,1721,1724],{"className":1720},[40],[28,1722],{"className":1723,"style":45},[44],[28,1725,51],{"className":1726},[49,50]," je ",[23,1729,1730],{},"řídká",": uzel je vázán jen s uzly, s nimiž sdílí prvek, takže téměř\nvšechny prvky matice jsou nulové. Je také ",[23,1733,1734],{},"symetrická",", podle Maxwellovy věty\no vzájemnosti. Řešiče využívají obojí; viz ",[143,1737,1739],{"href":1738},"\u002Fcs\u002Fkb\u002Fanalysis\u002Fsolvers","Volba lineárního řešiče",".",[11,1742,1743,1744,1759,1760,1763,1764,1781,1782,1804,1805,1856],{},"Zatížení se do ",[28,1745,1747],{"className":1746},[31],[28,1748,1750],{"className":1749,"ariaHidden":36},[35],[28,1751,1753,1756],{"className":1752},[40],[28,1754],{"className":1755,"style":83},[44],[28,1757,88],{"className":1758,"style":87},[49,50]," sestavuje stejně. Uzlová síla jde rovnou dovnitř. Spojité\nzatížení na prutu se převede na ",[23,1761,1762],{},"ekvivalentní uzlové síly",": pro rovnoměrné ",[28,1765,1767],{"className":1766},[31],[28,1768,1770],{"className":1769,"ariaHidden":36},[35],[28,1771,1773,1776],{"className":1772},[40],[28,1774],{"className":1775,"style":1702},[44],[28,1777,1780],{"className":1778,"style":1779},[49,164],"margin-right:0.0269em;","w"," na nosníku\n",[28,1783,1785],{"className":1784},[31],[28,1786,1788],{"className":1787,"ariaHidden":36},[35],[28,1789,1791,1794,1797,1800],{"className":1790},[40],[28,1792],{"className":1793,"style":498},[44],[28,1795,1780],{"className":1796,"style":1779},[49,164],[28,1798,165],{"className":1799},[49,164],[28,1801,1803],{"className":1802},[49],"\u002F2"," na každém konci a momenty dokonalého vetknutí ",[28,1806,1808],{"className":1807},[31],[28,1809,1811],{"className":1810,"ariaHidden":36},[35],[28,1812,1814,1818,1821,1852],{"className":1813},[40],[28,1815],{"className":1816,"style":1817},[44],"height:1.0641em;vertical-align:-0.25em;",[28,1819,1780],{"className":1820,"style":1779},[49,164],[28,1822,1824,1827],{"className":1823},[49],[28,1825,165],{"className":1826},[49,164],[28,1828,1830],{"className":1829},[663],[28,1831,1833],{"className":1832},[252],[28,1834,1836],{"className":1835},[257],[28,1837,1840],{"className":1838,"style":1839},[261],"height:0.8141em;",[28,1841,1843,1846],{"style":1842},"top:-3.063em;margin-right:0.05em;",[28,1844],{"className":1845,"style":680},[269],[28,1847,1849],{"className":1848},[684,685,338,686],[28,1850,586],{"className":1851},[49,686],[28,1853,1855],{"className":1854},[49],"\u002F12",". Zpracování koncových sil\nprvku to později opraví, takže průběh momentu podél prutu je přesný.",[15,1858,1860],{"id":1859},"_4-vazby","4. Vazby",[11,1862,1863,1866,1867,1884,1885,1901],{},[23,1864,1865],{},"Podpory"," odebírají stupně volnosti. Podepřený stupeň volnosti má předepsaný posun (nulový,\nnebo poklesnutí), takže jeho řádek a sloupec ze soustavy odejdou a jeho reakce se poté\ndopočte z rovnováhy tohoto řádku. Rozdělíme-li stupně volnosti na volné (",[28,1868,1870],{"className":1869},[31],[28,1871,1873],{"className":1872,"ariaHidden":36},[35],[28,1874,1876,1880],{"className":1875},[40],[28,1877],{"className":1878,"style":1879},[44],"height:0.8889em;vertical-align:-0.1944em;",[28,1881,88],{"className":1882,"style":1883},[49,164],"margin-right:0.1076em;",") a podepřené\n(",[28,1886,1888],{"className":1887},[31],[28,1889,1891],{"className":1890,"ariaHidden":36},[35],[28,1892,1894,1897],{"className":1893},[40],[28,1895],{"className":1896,"style":1702},[44],[28,1898,1900],{"className":1899},[49,164],"s","):",[28,1903,1905],{"className":1904},[93],[28,1906,1908],{"className":1907},[31],[28,1909,1911,2358],{"className":1910,"ariaHidden":36},[35],[28,1912,1914,1917,2206,2209,2349,2352,2355],{"className":1913},[40],[28,1915],{"className":1916,"style":236},[44],[28,1918,1920,1926,2200],{"className":1919},[328],[28,1921,1923],{"className":1922,"style":333},[243,332],[28,1924,339],{"className":1925},[337,338],[28,1927,1929],{"className":1928},[49],[28,1930,1932,2065,2068,2071],{"className":1931},[346],[28,1933,1935],{"className":1934},[350],[28,1936,1938,2057],{"className":1937},[252,253],[28,1939,1941,2054],{"className":1940},[257],[28,1942,1944,2000],{"className":1943,"style":360},[261],[28,1945,1946,1949],{"style":363},[28,1947],{"className":1948,"style":270},[269],[28,1950,1952],{"className":1951},[49],[28,1953,1955,1958],{"className":1954},[49],[28,1956,51],{"className":1957},[49,50],[28,1959,1961],{"className":1960},[663],[28,1962,1964,1991],{"className":1963},[252,253],[28,1965,1967,1988],{"className":1966},[257],[28,1968,1971],{"className":1969,"style":1970},[261],"height:0.3361em;",[28,1972,1973,1976],{"style":1569},[28,1974],{"className":1975,"style":680},[269],[28,1977,1979],{"className":1978},[684,685,338,686],[28,1980,1982,1985],{"className":1981},[49,686],[28,1983,88],{"className":1984,"style":1883},[49,164,686],[28,1986,88],{"className":1987,"style":1883},[49,164,686],[28,1989,307],{"className":1990},[306],[28,1992,1994],{"className":1993},[257],[28,1995,1998],{"className":1996,"style":1997},[261],"height:0.2861em;",[28,1999],{},[28,2001,2002,2005],{"style":376},[28,2003],{"className":2004,"style":270},[269],[28,2006,2008],{"className":2007},[49],[28,2009,2011,2014],{"className":2010},[49],[28,2012,51],{"className":2013},[49,50],[28,2015,2017],{"className":2016},[663],[28,2018,2020,2046],{"className":2019},[252,253],[28,2021,2023,2043],{"className":2022},[257],[28,2024,2026],{"className":2025,"style":1970},[261],[28,2027,2028,2031],{"style":1569},[28,2029],{"className":2030,"style":680},[269],[28,2032,2034],{"className":2033},[684,685,338,686],[28,2035,2037,2040],{"className":2036},[49,686],[28,2038,1900],{"className":2039},[49,164,686],[28,2041,88],{"className":2042,"style":1883},[49,164,686],[28,2044,307],{"className":2045},[306],[28,2047,2049],{"className":2048},[257],[28,2050,2052],{"className":2051,"style":1997},[261],[28,2053],{},[28,2055,307],{"className":2056},[306],[28,2058,2060],{"className":2059},[257],[28,2061,2063],{"className":2062,"style":399},[261],[28,2064],{},[28,2066],{"className":2067,"style":406},[405],[28,2069],{"className":2070,"style":406},[405],[28,2072,2074],{"className":2073},[350],[28,2075,2077,2192],{"className":2076},[252,253],[28,2078,2080,2189],{"className":2079},[257],[28,2081,2083,2137],{"className":2082,"style":360},[261],[28,2084,2085,2088],{"style":363},[28,2086],{"className":2087,"style":270},[269],[28,2089,2091],{"className":2090},[49],[28,2092,2094,2097],{"className":2093},[49],[28,2095,51],{"className":2096},[49,50],[28,2098,2100],{"className":2099},[663],[28,2101,2103,2129],{"className":2102},[252,253],[28,2104,2106,2126],{"className":2105},[257],[28,2107,2109],{"className":2108,"style":1970},[261],[28,2110,2111,2114],{"style":1569},[28,2112],{"className":2113,"style":680},[269],[28,2115,2117],{"className":2116},[684,685,338,686],[28,2118,2120,2123],{"className":2119},[49,686],[28,2121,88],{"className":2122,"style":1883},[49,164,686],[28,2124,1900],{"className":2125},[49,164,686],[28,2127,307],{"className":2128},[306],[28,2130,2132],{"className":2131},[257],[28,2133,2135],{"className":2134,"style":1997},[261],[28,2136],{},[28,2138,2139,2142],{"style":376},[28,2140],{"className":2141,"style":270},[269],[28,2143,2145],{"className":2144},[49],[28,2146,2148,2151],{"className":2147},[49],[28,2149,51],{"className":2150},[49,50],[28,2152,2154],{"className":2153},[663],[28,2155,2157,2181],{"className":2156},[252,253],[28,2158,2160,2178],{"className":2159},[257],[28,2161,2163],{"className":2162,"style":1566},[261],[28,2164,2165,2168],{"style":1569},[28,2166],{"className":2167,"style":680},[269],[28,2169,2171],{"className":2170},[684,685,338,686],[28,2172,2174],{"className":2173},[49,686],[28,2175,2177],{"className":2176},[49,164,686],"ss",[28,2179,307],{"className":2180},[306],[28,2182,2184],{"className":2183},[257],[28,2185,2187],{"className":2186,"style":699},[261],[28,2188],{},[28,2190,307],{"className":2191},[306],[28,2193,2195],{"className":2194},[257],[28,2196,2198],{"className":2197,"style":399},[261],[28,2199],{},[28,2201,2203],{"className":2202,"style":333},[320,332],[28,2204,464],{"className":2205},[337,338],[28,2207],{"className":2208,"style":324},[113],[28,2210,2212,2218,2343],{"className":2211},[328],[28,2213,22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se jen horní řádek, s předepsaným ",[28,2524,2526],{"className":2525},[31],[28,2527,2529],{"className":2528,"ariaHidden":36},[35],[28,2530,2532,2536],{"className":2531},[40],[28,2533],{"className":2534,"style":2535},[44],"height:0.5944em;vertical-align:-0.15em;",[28,2537,2539,2542],{"className":2538},[49],[28,2540,69],{"className":2541},[49,50],[28,2543,2545],{"className":2544},[663],[28,2546,2548,2568],{"className":2547},[252,253],[28,2549,2551,2565],{"className":2550},[257],[28,2552,2554],{"className":2553,"style":1566},[261],[28,2555,2556,2559],{"style":1569},[28,2557],{"className":2558,"style":680},[269],[28,2560,2562],{"className":2561},[684,685,338,686],[28,2563,1900],{"className":2564},[49,164,686],[28,2566,307],{"className":2567},[306],[28,2569,2571],{"className":2570},[257],[28,2572,2574],{"className":2573,"style":699},[261],[28,2575],{}," převedeným na pravou stranu; reakce\n",[28,2578,2580],{"className":2579},[31],[28,2581,2583],{"className":2582,"ariaHidden":36},[35],[28,2584,2586,2589],{"className":2585},[40],[28,2587],{"className":2588,"style":65},[44],[28,2590,2502],{"className":2591},[49,50]," se poté dopočtou ze spodního řádku:",[28,2594,2596],{"className":2595},[93],[28,2597,2599],{"className":2598},[31],[28,2600,2602],{"className":2601,"ariaHidden":36},[35],[28,2603,2605,2609],{"className":2604},[40],[28,2606],{"className":2607,"style":2608},[44],"height:2.7em;vertical-align:-1.1em;",[28,2610,2612],{"className":2611},[49],[28,2613,2615,2751],{"className":2614},[346],[28,2616,2619],{"className":2617},[2618],"col-align-r",[28,2620,2622,2742],{"className":2621},[252,253],[28,2623,2625,2739],{"className":2624},[257],[28,2626,2629,2727],{"className":2627,"style":2628},[261],"height:1.6em;",[28,2630,2632,2635],{"style":2631},"top:-3.76em;",[28,2633],{"className":2634,"style":270},[269],[28,2636,2638,2684,2687],{"className":2637},[49],[28,2639,2641,2644],{"className":2640},[49],[28,2642,51],{"className":2643},[49,50],[28,2645,2647],{"className":2646},[663],[28,2648,2650,2676],{"className":2649},[252,253],[28,2651,2653,2673],{"className":2652},[257],[28,2654,2656],{"className":2655,"style":1970},[261],[28,2657,2658,2661],{"style":1569},[28,2659],{"className":2660,"style":680},[269],[28,2662,2664],{"className":2663},[684,685,338,686],[28,2665,2667,2670],{"className":2666},[49,686],[28,2668,88],{"className":2669,"style":1883},[49,164,686],[28,2671,88],{"className":2672,"style":1883},[49,164,686],[28,2674,307],{"className":2675},[306],[28,2677,2679],{"className":2678},[257],[28,2680,2682],{"className":2681,"style":1997},[261],[28,2683],{},[28,2685],{"className":2686,"style":324},[113],[28,2688,2690,2693],{"className":2689},[49],[28,2691,69],{"className":2692},[49,50],[28,2694,2696],{"className":2695},[663],[28,2697,2699,2719],{"className":2698},[252,253],[28,2700,2702,2716],{"className":2701},[257],[28,2703,2705],{"className":2704,"style":1970},[261],[28,2706,2707,2710],{"style":1569},[28,2708],{"className":2709,"style":680},[269],[28,2711,2713],{"className":2712},[684,685,338,686],[28,2714,88],{"className":2715,"style":1883},[49,164,686],[28,2717,307],{"className":2718},[306],[28,2720,2722],{"className":2721},[257],[28,2723,2725],{"className":2724,"style":1997},[261],[28,2726],{},[28,2728,2730,2733],{"style":2729},"top:-2.26em;",[28,2731],{"className":2732,"style":270},[269],[28,2734,2736],{"className":2735},[49],[28,2737,2502],{"className":2738},[49,50],[28,2740,307],{"className":2741},[306],[28,2743,2745],{"className":2744},[257],[28,2746,2749],{"className":2747,"style":2748},[261],"height:1.1em;",[28,2750],{},[28,2752,2755],{"className":2753},[2754],"col-align-l",[28,2756,2758,3178],{"className":2757},[252,253],[28,2759,2761,3175],{"className":2760},[257],[28,2762,2764,2922],{"className":2763,"style":2628},[261],[28,2765,2766,2769],{"style":2631},[28,2767],{"className":2768,"style":270},[269],[28,2770,2772,2775,2778,2781,2784,2824,2827,2830,2833,2879,2882],{"className":2771},[49],[28,2773],{"className":2774},[49],[28,2776],{"className":2777,"style":114},[113],[28,2779,119],{"className":2780},[118],[28,2782],{"className":2783,"style":114},[113],[28,2785,2787,2790],{"className":2786},[49],[28,2788,88],{"className":2789,"style":87},[49,50],[28,2791,2793],{"className":2792},[663],[28,2794,2796,2816],{"className":2795},[252,253],[28,2797,2799,2813],{"className":2798},[257],[28,2800,2802],{"className":2801,"style":1970},[261],[28,2803,2804,2807],{"style":676},[28,2805],{"className":2806,"style":680},[269],[28,2808,2810],{"className":2809},[684,685,338,686],[28,2811,88],{"className":2812,"style":1883},[49,164,686],[28,2814,307],{"className":2815},[306],[28,2817,2819],{"className":2818},[257],[28,2820,2822],{"className":2821,"style":1997},[261],[28,2823],{},[28,2825],{"className":2826,"style":2490},[113],[28,2828,386],{"className":2829},[2494],[28,2831],{"className":2832,"style":2490},[113],[28,2834,2836,2839],{"className":2835},[49],[28,2837,51],{"className":2838},[49,50],[28,2840,2842],{"className":2841},[663],[28,2843,2845,2871],{"className":2844},[252,253],[28,2846,2848,2868],{"className":2847},[257],[28,2849,2851],{"className":2850,"style":1970},[261],[28,2852,2853,2856],{"style":1569},[28,2854],{"className":2855,"style":680},[269],[28,2857,2859],{"className":2858},[684,685,338,686],[28,2860,2862,2865],{"className":2861},[49,686],[28,2863,88],{"className":2864,"style":1883},[49,164,686],[28,2866,1900],{"className":2867},[49,164,686],[28,2869,307],{"className":2870},[306],[28,2872,2874],{"className":2873},[257],[28,2875,2877],{"className":2876,"style":1997},[261],[28,2878],{},[28,2880],{"className":2881,"style":324},[113],[28,2883,2885,2888],{"className":2884},[49],[28,2886,69],{"className":2887},[49,50],[28,2889,2891],{"className":2890},[663],[28,2892,2894,2914],{"className":2893},[252,253],[28,2895,2897,2911],{"className":2896},[257],[28,2898,2900],{"className":2899,"style":1566},[261],[28,2901,2902,2905],{"style":1569},[28,2903],{"className":2904,"style":680},[269],[28,2906,2908],{"className":2907},[684,685,338,686],[28,2909,1900],{"className":2910},[49,164,686],[28,2912,307],{"className":2913},[306],[28,2915,2917],{"className":2916},[257],[28,2918,2920],{"className":2919,"style":699},[261],[28,2921],{},[28,2923,2924,2927],{"style":2729},[28,2925],{"className":2926,"style":270},[269],[28,2928,2930,2933,2936,2939,2942,2988,2991,3031,3034,3037,3040,3083,3086,3126,3129,3132,3135],{"className":2929},[49],[28,2931],{"className":2932},[49],[28,2934],{"className":2935,"style":114},[113],[28,2937,119],{"className":2938},[118],[28,2940],{"className":2941,"style":114},[113],[28,2943,2945,2948],{"className":2944},[49],[28,2946,51],{"className":2947},[49,50],[28,2949,2951],{"className":2950},[663],[28,2952,2954,2980],{"className":2953},[252,253],[28,2955,2957,2977],{"className":2956},[257],[28,2958,2960],{"className":2959,"style":1970},[261],[28,2961,2962,2965],{"style":1569},[28,2963],{"className":2964,"style":680},[269],[28,2966,2968],{"className":2967},[684,685,338,686],[28,2969,2971,2974],{"className":2970},[49,686],[28,2972,1900],{"className":2973},[49,164,686],[28,2975,88],{"className":2976,"style":1883},[49,164,686],[28,2978,307],{"className":2979},[306],[28,2981,2983],{"className":2982},[257],[28,2984,2986],{"className":2985,"style":1997},[261],[28,2987],{},[28,2989],{"className":2990,"style":324},[113],[28,2992,2994,2997],{"className":2993},[49],[28,2995,69],{"className":2996},[49,50],[28,2998,3000],{"className":2999},[663],[28,3001,3003,3023],{"className":3002},[252,253],[28,3004,3006,3020],{"className":3005},[257],[28,3007,3009],{"className":3008,"style":1970},[261],[28,3010,3011,3014],{"style":1569},[28,3012],{"className":3013,"style":680},[269],[28,3015,3017],{"className":3016},[684,685,338,686],[28,3018,88],{"className":3019,"style":1883},[49,164,686],[28,3021,307],{"className":3022},[306],[28,3024,3026],{"className":3025},[257],[28,3027,3029],{"className":3028,"style":1997},[261],[28,3030],{},[28,3032],{"className":3033,"style":2490},[113],[28,3035,2495],{"className":3036},[2494],[28,3038],{"className":3039,"style":2490},[113],[28,3041,3043,3046],{"className":3042},[49],[28,3044,51],{"className":3045},[49,50],[28,3047,3049],{"className":3048},[663],[28,3050,3052,3075],{"className":3051},[252,253],[28,3053,3055,3072],{"className":3054},[257],[28,3056,3058],{"className":3057,"style":1566},[261],[28,3059,3060,3063],{"style":1569},[28,3061],{"className":3062,"style":680},[269],[28,3064,3066],{"className":3065},[684,685,338,686],[28,3067,3069],{"className":3068},[49,686],[28,3070,2177],{"className":3071},[49,164,686],[28,3073,307],{"className":3074},[306],[28,3076,3078],{"className":3077},[257],[28,3079,3081],{"className":3080,"style":699},[261],[28,3082],{},[28,3084],{"className":3085,"style":324},[113],[28,3087,3089,3092],{"className":3088},[49],[28,3090,69],{"className":3091},[49,50],[28,3093,3095],{"className":3094},[663],[28,3096,3098,3118],{"className":3097},[252,253],[28,3099,3101,3115],{"className":3100},[257],[28,3102,3104],{"className":3103,"style":1566},[261],[28,3105,3106,3109],{"style":1569},[28,3107],{"className":3108,"style":680},[269],[28,3110,3112],{"className":3111},[684,685,338,686],[28,3113,1900],{"className":3114},[49,164,686],[28,3116,307],{"className":3117},[306],[28,3119,3121],{"className":3120},[257],[28,3122,3124],{"className":3123,"style":699},[261],[28,3125],{},[28,3127],{"className":3128,"style":2490},[113],[28,3130,386],{"className":3131},[2494],[28,3133],{"className":3134,"style":2490},[113],[28,3136,3138,3141],{"className":3137},[49],[28,3139,88],{"className":3140,"style":87},[49,50],[28,3142,3144],{"className":3143},[663],[28,3145,3147,3167],{"className":3146},[252,253],[28,3148,3150,3164],{"className":3149},[257],[28,3151,3153],{"className":3152,"style":1566},[261],[28,3154,3155,3158],{"style":676},[28,3156],{"className":3157,"style":680},[269],[28,3159,3161],{"className":3160},[684,685,338,686],[28,3162,1900],{"className":3163},[49,164,686],[28,3165,307],{"className":3166},[306],[28,3168,3170],{"className":3169},[257],[28,3171,3173],{"className":3172,"style":699},[261],[28,3174],{},[28,3176,307],{"className":3177},[306],[28,3179,3181],{"className":3180},[257],[28,3182,3184],{"className":3183,"style":2748},[261],[28,3185],{},[11,3187,3188,3191],{},[23,3189,3190],{},"Pružina"," stupeň volnosti neodebírá; přičte svou tuhost na diagonálu.",[11,3193,3194,3197],{},[23,3195,3196],{},"Uvolnění (klouby)"," upravují prvek ještě před sestavením. Úplné uvolnění odpojí daný\nstupeň volnosti od uzlu, takže prut přes tento konec nepřenáší žádný moment; částečné\nuvolnění vloží mezi oba konečnou tuhost, což je polotuhý přípoj.",[11,3199,3200,3203],{},[23,3201,3202],{},"Tuhá ramena"," jsou vazby, které svazují stupně volnosti jednoho uzlu se stupni volnosti\ndruhého kinematickým vztahem uplatněným při sestavení, ne jako velmi tuhý prvek. Proto\nnekazí podmíněnost matice tak, jak to dělá tuhý prvek.",[11,3205,3206,3207,3222,3223,3227],{},"Po tomto kroku je ",[28,3208,3210],{"className":3209},[31],[28,3211,3213],{"className":3212,"ariaHidden":36},[35],[28,3214,3216,3219],{"className":3215},[40],[28,3217],{"className":3218,"style":45},[44],[28,3220,51],{"className":3221},[49,50]," singulární právě tehdy, když se konstrukce může pohybovat bez\nodporu: je ",[143,3224,3226],{"href":3225},"\u002Fcs\u002Fkb\u002Ftroubleshooting\u002Fsingular-stiffness-matrix","mechanismem",". Elementarium to\nkontroluje před řešením a volný pohyb pojmenuje.",[15,3229,3231],{"id":3230},"_5-řešení","5. Řešení",[11,3233,3234,3235,3268,3269,3284,3285,3330,3331,3376,3377,1740],{},"Soustava ",[28,3236,3238],{"className":3237},[31],[28,3239,3241,3259],{"className":3240,"ariaHidden":36},[35],[28,3242,3244,3247,3250,3253,3256],{"className":3243},[40],[28,3245],{"className":3246,"style":45},[44],[28,3248,109],{"className":3249},[49,50],[28,3251],{"className":3252,"style":114},[113],[28,3254,119],{"className":3255},[118],[28,3257],{"className":3258,"style":114},[113],[28,3260,3262,3265],{"className":3261},[40],[28,3263],{"className":3264,"style":83},[44],[28,3266,88],{"className":3267,"style":87},[49,50]," se řeší jednou pro každý stav zatížení.\nS přímým řešičem se ",[28,3270,3272],{"className":3271},[31],[28,3273,3275],{"className":3274,"ariaHidden":36},[35],[28,3276,3278,3281],{"className":3277},[40],[28,3279],{"className":3280,"style":45},[44],[28,3282,51],{"className":3283},[49,50]," rozloží na ",[28,3286,3288],{"className":3287},[31],[28,3289,3291],{"className":3290,"ariaHidden":36},[35],[28,3292,3294,3298,3301],{"className":3293},[40],[28,3295],{"className":3296,"style":3297},[44],"height:0.8491em;",[28,3299,165],{"className":3300},[49,50],[28,3302,3304,3307],{"className":3303},[49],[28,3305,165],{"className":3306},[49,50],[28,3308,3310],{"className":3309},[663],[28,3311,3313],{"className":3312},[252],[28,3314,3316],{"className":3315},[257],[28,3317,3319],{"className":3318,"style":3297},[261],[28,3320,3321,3324],{"style":1842},[28,3322],{"className":3323,"style":680},[269],[28,3325,3327],{"className":3326},[684,685,338,686],[28,3328,1192],{"className":3329},[49,1293,686]," nebo\n",[28,3332,3334],{"className":3333},[31],[28,3335,3337],{"className":3336,"ariaHidden":36},[35],[28,3338,3340,3343,3347],{"className":3339},[40],[28,3341],{"className":3342,"style":3297},[44],[28,3344,3346],{"className":3345},[49,50],"LD",[28,3348,3350,3353],{"className":3349},[49],[28,3351,165],{"className":3352},[49,50],[28,3354,3356],{"className":3355},[663],[28,3357,3359],{"className":3358},[252],[28,3360,3362],{"className":3361},[257],[28,3363,3365],{"className":3364,"style":3297},[261],[28,3366,3367,3370],{"style":1842},[28,3368],{"className":3369,"style":680},[269],[28,3371,3373],{"className":3372},[684,685,338,686],[28,3374,1192],{"className":3375},[49,1293,686]," a každý zatěžovací stav nebo kombinace je pak\nlevný zpětný chod nad těmito faktory. Proto padesát kombinací stojí jen o málo víc než\njedna. S iteračním řešičem se soustava konverguje zvlášť pro každou pravou stranu. Viz\n",[143,3378,1739],{"href":1738},[11,3380,3381,3382,3397],{},"Výsledkem je ",[28,3383,3385],{"className":3384},[31],[28,3386,3388],{"className":3387,"ariaHidden":36},[35],[28,3389,3391,3394],{"className":3390},[40],[28,3392],{"className":3393,"style":65},[44],[28,3395,69],{"className":3396},[49,50],": všechny posuny a pootočení ve všech uzlech pro daný stav\nzatížení.",[15,3399,3401],{"id":3400},"_6-dopočet-výsledků","6. Dopočet výsledků",[11,3403,3404,3405,3462],{},"Vnitřní síly plynou z posunů, prvek po prvku: uzlové posuny prvku se transformují zpět do\njeho lokálních os, vynásobí lokální maticí tuhosti a přičtou se síly dokonalého vetknutí\n",[28,3406,3408],{"className":3407},[31],[28,3409,3411],{"className":3410,"ariaHidden":36},[35],[28,3412,3414,3418],{"className":3413},[40],[28,3415],{"className":3416,"style":3417},[44],"height:0.8444em;vertical-align:-0.15em;",[28,3419,3421,3424],{"className":3420},[49],[28,3422,88],{"className":3423,"style":87},[49,50],[28,3425,3427],{"className":3426},[663],[28,3428,3430,3454],{"className":3429},[252,253],[28,3431,3433,3451],{"className":3432},[257],[28,3434,3436],{"className":3435,"style":673},[261],[28,3437,3438,3441],{"style":676},[28,3439],{"className":3440,"style":680},[269],[28,3442,3444],{"className":3443},[684,685,338,686],[28,3445,3447],{"className":3446},[49,686],[28,3448,3450],{"className":3449},[49,686],"0",[28,3452,307],{"className":3453},[306],[28,3455,3457],{"className":3456},[257],[28,3458,3460],{"className":3459,"style":699},[261],[28,3461],{}," od zatížení po jeho délce:",[28,3464,3466],{"className":3465},[93],[28,3467,3469],{"className":3468},[31],[28,3470,3472,3530,3600],{"className":3471,"ariaHidden":36},[35],[28,3473,3475,3478,3521,3524,3527],{"className":3474},[40],[28,3476],{"className":3477,"style":3417},[44],[28,3479,3481,3484],{"className":3480},[49],[28,3482,88],{"className":3483,"style":87},[49,50],[28,3485,3487],{"className":3486},[663],[28,3488,3490,3513],{"className":3489},[252,253],[28,3491,3493,3510],{"className":3492},[257],[28,3494,3496],{"className":3495,"style":1566},[261],[28,3497,3498,3501],{"style":676},[28,3499],{"className":3500,"style":680},[269],[28,3502,3504],{"className":3503},[684,685,338,686],[28,3505,3507],{"className":3506},[49,686],[28,3508,1434],{"className":3509},[49,164,686],[28,3511,307],{"className":3512},[306],[28,3514,3516],{"className":3515},[257],[28,3517,3519],{"className":3518,"style":699},[261],[28,3520],{},[28,3522],{"className":3523,"style":114},[113],[28,3525,119],{"className":3526},[118],[28,3528],{"className":3529,"style":114},[113],[28,3531,3533,3536,3539,3542,3545,3548,3591,3594,3597],{"className":3532},[40],[28,3534],{"className":3535,"style":3417},[44],[28,3537,220],{"className":3538},[49,50],[28,3540],{"className":3541,"style":324},[113],[28,3543,1192],{"className":3544},[49,50],[28,3546],{"className":3547,"style":324},[113],[28,3549,3551,3554],{"className":3550},[49],[28,3552,69],{"className":3553},[49,50],[28,3555,3557],{"className":3556},[663],[28,3558,3560,3583],{"className":3559},[252,253],[28,3561,3563,3580],{"className":3562},[257],[28,3564,3566],{"className":3565,"style":1566},[261],[28,3567,3568,3571],{"style":1569},[28,3569],{"className":3570,"style":680},[269],[28,3572,3574],{"className":3573},[684,685,338,686],[28,3575,3577],{"className":3576},[49,686],[28,3578,1434],{"className":3579},[49,164,686],[28,3581,307],{"className":3582},[306],[28,3584,3586],{"className":3585},[257],[28,3587,3589],{"className":3588,"style":699},[261],[28,3590],{},[28,3592],{"className":3593,"style":2490},[113],[28,3595,2495],{"className":3596},[2494],[28,3598],{"className":3599,"style":2490},[113],[28,3601,3603,3606],{"className":3602},[40],[28,3604],{"className":3605,"style":3417},[44],[28,3607,3609,3612],{"className":3608},[49],[28,3610,88],{"className":3611,"style":87},[49,50],[28,3613,3615],{"className":3614},[663],[28,3616,3618,3641],{"className":3617},[252,253],[28,3619,3621,3638],{"className":3620},[257],[28,3622,3624],{"className":3623,"style":673},[261],[28,3625,3626,3629],{"style":676},[28,3627],{"className":3628,"style":680},[269],[28,3630,3632],{"className":3631},[684,685,338,686],[28,3633,3635],{"className":3634},[49,686],[28,3636,3450],{"className":3637},[49,686],[28,3639,307],{"className":3640},[306],[28,3642,3644],{"className":3643},[257],[28,3645,3647],{"className":3646,"style":699},[261],[28,3648],{},[11,3650,3651,3652,3668,3669,3668,3685,1141,3701,3716,3717,3721],{},"Pro nosník to dává ",[28,3653,3655],{"className":3654},[31],[28,3656,3658],{"className":3657,"ariaHidden":36},[35],[28,3659,3661,3664],{"className":3660},[40],[28,3662],{"className":3663,"style":160},[44],[28,3665,3667],{"className":3666,"style":87},[49,164],"N",", ",[28,3670,3672],{"className":3671},[31],[28,3673,3675],{"className":3674,"ariaHidden":36},[35],[28,3676,3678,3681],{"className":3677},[40],[28,3679],{"className":3680,"style":160},[44],[28,3682,3684],{"className":3683,"style":2490},[49,164],"V",[28,3686,3688],{"className":3687},[31],[28,3689,3691],{"className":3690,"ariaHidden":36},[35],[28,3692,3694,3697],{"className":3693},[40],[28,3695],{"className":3696,"style":160},[44],[28,3698,1192],{"className":3699,"style":3700},[49,164],"margin-right:0.1389em;",[28,3702,3704],{"className":3703},[31],[28,3705,3707],{"className":3706,"ariaHidden":36},[35],[28,3708,3710,3713],{"className":3709},[40],[28,3711],{"className":3712,"style":160},[44],[28,3714,659],{"className":3715,"style":87},[49,164]," na koncích. Mezi konci plynou z rovnováhy z koncových\nsil a zatížení prutu, proto je moment od rovnoměrného zatížení parabolický, přestože tvarová\nfunkce je kubická. Pro skořepinu se měrné vnitřní síly vyhodnotí v Gaussových bodech a do rohů\nse přenesou ",[143,3718,3720],{"href":3719},"\u002Fcs\u002Fkb\u002Ftheory\u002Felement-formulations#integration-and-result-recovery","metodou dopočtu",",\nkterou zvolí nastavení výpočtu.",[11,3723,3724,3725,1740],{},"Reakce jsou síly v podepřených stupních volnosti a jejich součet se musí rovnat působícímu\nzatížení: to je kontrola popsaná v článku\n",[143,3726,3728],{"href":3727},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Ffirst-analysis","Váš první výpočet",[15,3730,3732],{"id":3731},"kde-se-ostatní-výpočty-odchylují","Kde se ostatní výpočty odchylují",[3734,3735,3736,3749],"table",{},[3737,3738,3739],"thead",{},[3740,3741,3742,3746],"tr",{},[3743,3744,3745],"th",{},"Výpočet",[3743,3747,3748],{},"Co se mění",[3750,3751,3752,3883,4057],"tbody",{},[3740,3753,3754,3761],{},[3755,3756,3757],"td",{},[143,3758,3760],{"href":3759},"\u002Fcs\u002Fkb\u002Fanalysis\u002Fmodal","Modální analýza",[3755,3762,3763,3764,3779,3780,3882],{},"Stejným způsobem se sestaví matice hmotnosti ",[28,3765,3767],{"className":3766},[31],[28,3768,3770],{"className":3769,"ariaHidden":36},[35],[28,3771,3773,3776],{"className":3772},[40],[28,3774],{"className":3775,"style":45},[44],[28,3777,659],{"className":3778},[49,50],"; ",[28,3781,3783],{"className":3782},[31],[28,3784,3786,3808,3872],{"className":3785,"ariaHidden":36},[35],[28,3787,3789,3792,3796,3799,3802,3805],{"className":3788},[40],[28,3790],{"className":3791,"style":498},[44],[28,3793,3795],{"className":3794},[243],"(",[28,3797,51],{"className":3798},[49,50],[28,3800],{"className":3801,"style":2490},[113],[28,3803,386],{"className":3804},[2494],[28,3806],{"className":3807,"style":2490},[113],[28,3809,3811,3814,3845,3848,3852,3863,3866,3869],{"className":3810},[40],[28,3812],{"className":3813,"style":1817},[44],[28,3815,3817,3822],{"className":3816},[49],[28,3818,3821],{"className":3819,"style":3820},[49,164],"margin-right:0.0359em;","ω",[28,3823,3825],{"className":3824},[663],[28,3826,3828],{"className":3827},[252],[28,3829,3831],{"className":3830},[257],[28,3832,3834],{"className":3833,"style":1839},[261],[28,3835,3836,3839],{"style":1842},[28,3837],{"className":3838,"style":680},[269],[28,3840,3842],{"className":3841},[684,685,338,686],[28,3843,586],{"className":3844},[49,686],[28,3846,659],{"className":3847},[49,50],[28,3849,3851],{"className":3850},[320],")",[28,3853,3855],{"className":3854},[49],[28,3856,3858],{"className":3857},[49],[28,3859,3862],{"className":3860},[49,3861],"boldsymbol","ϕ",[28,3864],{"className":3865,"style":114},[113],[28,3867,119],{"className":3868},[118],[28,3870],{"className":3871,"style":114},[113],[28,3873,3875,3879],{"className":3874},[40],[28,3876],{"className":3877,"style":3878},[44],"height:0.6444em;",[28,3880,3450],{"className":3881},[49]," je problém vlastních čísel, ne lineární soustava",[3740,3884,3885,3891],{},[3755,3886,3887],{},[143,3888,3890],{"href":3889},"\u002Fcs\u002Fkb\u002Fanalysis\u002Fbuckling","Lineární stabilita",[3755,3892,3893,3894,3779,3948],{},"Z osových sil statického řešení se sestaví geometrická matice tuhosti ",[28,3895,3897],{"className":3896},[31],[28,3898,3900],{"className":3899,"ariaHidden":36},[35],[28,3901,3903,3907],{"className":3902},[40],[28,3904],{"className":3905,"style":3906},[44],"height:0.9722em;vertical-align:-0.2861em;",[28,3908,3910,3913],{"className":3909},[49],[28,3911,51],{"className":3912},[49,50],[28,3914,3916],{"className":3915},[663],[28,3917,3919,3940],{"className":3918},[252,253],[28,3920,3922,3937],{"className":3921},[257],[28,3923,3925],{"className":3924,"style":1566},[261],[28,3926,3927,3930],{"style":1569},[28,3928],{"className":3929,"style":680},[269],[28,3931,3933],{"className":3932},[684,685,338,686],[28,3934,3936],{"className":3935,"style":3820},[49,164,686],"g",[28,3938,307],{"className":3939},[306],[28,3941,3943],{"className":3942},[257],[28,3944,3946],{"className":3945,"style":1997},[261],[28,3947],{},[28,3949,3951],{"className":3950},[31],[28,3952,3954,3975,4048],{"className":3953,"ariaHidden":36},[35],[28,3955,3957,3960,3963,3966,3969,3972],{"className":3956},[40],[28,3958],{"className":3959,"style":498},[44],[28,3961,3795],{"className":3962},[243],[28,3964,51],{"className":3965},[49,50],[28,3967],{"className":3968,"style":2490},[113],[28,3970,2495],{"className":3971},[2494],[28,3973],{"className":3974,"style":2490},[113],[28,3976,3978,3982,3987,4027,4030,4039,4042,4045],{"className":3977},[40],[28,3979],{"className":3980,"style":3981},[44],"height:1.0361em;vertical-align:-0.2861em;",[28,3983,3986],{"className":3984,"style":3985},[49,164],"margin-right:0.0037em;","α",[28,3988,3990,3993],{"className":3989},[49],[28,3991,51],{"className":3992},[49,50],[28,3994,3996],{"className":3995},[663],[28,3997,3999,4019],{"className":3998},[252,253],[28,4000,4002,4016],{"className":4001},[257],[28,4003,4005],{"className":4004,"style":1566},[261],[28,4006,4007,4010],{"style":1569},[28,4008],{"className":4009,"style":680},[269],[28,4011,4013],{"className":4012},[684,685,338,686],[28,4014,3936],{"className":4015,"style":3820},[49,164,686],[28,4017,307],{"className":4018},[306],[28,4020,4022],{"className":4021},[257],[28,4023,4025],{"className":4024,"style":1997},[261],[28,4026],{},[28,4028,3851],{"className":4029},[320],[28,4031,4033],{"className":4032},[49],[28,4034,4036],{"className":4035},[49],[28,4037,3862],{"className":4038},[49,3861],[28,4040],{"className":4041,"style":114},[113],[28,4043,119],{"className":4044},[118],[28,4046],{"className":4047,"style":114},[113],[28,4049,4051,4054],{"className":4050},[40],[28,4052],{"className":4053,"style":3878},[44],[28,4055,3450],{"className":4056},[49],[3740,4058,4059,4065],{},[3755,4060,4061],{},[143,4062,4064],{"href":4063},"\u002Fcs\u002Fkb\u002Fanalysis\u002Fsecond-order","Teorie II. řádu",[3755,4066,4067,4128,4129,4144],{},[28,4068,4070],{"className":4069},[31],[28,4071,4073],{"className":4072,"ariaHidden":36},[35],[28,4074,4076,4079,4119,4122,4125],{"className":4075},[40],[28,4077],{"className":4078,"style":3981},[44],[28,4080,4082,4085],{"className":4081},[49],[28,4083,51],{"className":4084},[49,50],[28,4086,4088],{"className":4087},[663],[28,4089,4091,4111],{"className":4090},[252,253],[28,4092,4094,4108],{"className":4093},[257],[28,4095,4097],{"className":4096,"style":1566},[261],[28,4098,4099,4102],{"style":1569},[28,4100],{"className":4101,"style":680},[269],[28,4103,4105],{"className":4104},[684,685,338,686],[28,4106,3936],{"className":4107,"style":3820},[49,164,686],[28,4109,307],{"className":4110},[306],[28,4112,4114],{"className":4113},[257],[28,4115,4117],{"className":4116,"style":1997},[261],[28,4118],{},[28,4120,3795],{"className":4121},[243],[28,4123,69],{"className":4124},[49,50],[28,4126,3851],{"className":4127},[320]," závisí na výsledku, takže se kroky 5 a 6 opakují, dokud se ",[28,4130,4132],{"className":4131},[31],[28,4133,4135],{"className":4134,"ariaHidden":36},[35],[28,4136,4138,4141],{"className":4137},[40],[28,4139],{"className":4140,"style":65},[44],[28,4142,69],{"className":4143},[49,50]," nepřestane měnit",[11,4146,4147],{},"Všechny tři sestavují svou dodatečnou matici z týchž prvků, s toutéž transformací a toutéž\nkonektivitou. Proto se chyba modelování v kroku 3, prut, který se nespojuje, projeví ve\nvšech typech výpočtu najednou.",[15,4149,4151],{"id":4150},"co-metoda-předpokládá","Co metoda předpokládá",[4153,4154,4155,4194,4200,4206],"ul",{},[4156,4157,4158,4161,4162,4177,4178,4193],"li",{},[23,4159,4160],{},"Linearita."," ",[28,4163,4165],{"className":4164},[31],[28,4166,4168],{"className":4167,"ariaHidden":36},[35],[28,4169,4171,4174],{"className":4170},[40],[28,4172],{"className":4173,"style":45},[44],[28,4175,51],{"className":4176},[49,50]," nezávisí na ",[28,4179,4181],{"className":4180},[31],[28,4182,4184],{"className":4183,"ariaHidden":36},[35],[28,4185,4187,4190],{"className":4186},[40],[28,4188],{"className":4189,"style":65},[44],[28,4191,69],{"className":4192},[49,50],"; materiál zůstává pružný a geometrie\nzůstává tam, kde byla nakreslena. Výjimkou jsou tři řádky tabulky výše.",[4156,4195,4196,4199],{},[23,4197,4198],{},"Malé posuny."," Rovnováha se píše na nedeformovaném tvaru, s výjimkou teorie II. řádu.",[4156,4201,4202,4205],{},[23,4203,4204],{},"Kompatibilita jen v uzlech."," Prvky jsou spojeny ve svých uzlech a nikde jinde. Dvě\nplochy, které se překrývají bez společných uzlů, procházejí jedna druhou.",[4156,4207,4208,4211,4212,1740],{},[23,4209,4210],{},"Bázové funkce prvku."," Nosník je přesný; skořepina je aproximace, která konverguje se\nzjemňováním. Důsledkem je ",[143,4213,4215],{"href":4214},"\u002Fcs\u002Fkb\u002Fmeshing","síťování",[11,4217,4218],{},"Je to metoda, kterou učí každý kurz stavební mechaniky a kterou implementuje každý program\nna konečné prvky.",{"title":4220,"searchDepth":4221,"depth":4221,"links":4222},"",2,[4223,4224,4225,4226,4227,4228,4229,4230,4231],{"id":17,"depth":4221,"text":18},{"id":137,"depth":4221,"text":138},{"id":1172,"depth":4221,"text":1173},{"id":1348,"depth":4221,"text":1349},{"id":1859,"depth":4221,"text":1860},{"id":3230,"depth":4221,"text":3231},{"id":3400,"depth":4221,"text":3401},{"id":3731,"depth":4221,"text":3732},{"id":4150,"depth":4221,"text":4151},"Jak řešič konečných prvků převede model na K u = f a zpět – tuhost prvku, transformace, sestavení, vazby, řešení a dopočet výsledků.","md",false,{},true,null,4,"\u002Fcs\u002Fkb\u002Ftheory\u002Fdirect-stiffness-method",{"title":6,"description":4232},{"loc":4239},"cs\u002Fkb\u002Ftheory\u002Fdirect-stiffness-method","Qf9hlWc1JqZvM8OrkZ3IKXNmkJFZMrOEh70gxItdoBA",{"sections":4245,"extras":4544,"flat":4557},[4246,4280,4323,4341,4376,4399,4426,4457,4484,4507,4521],{"path":4247,"slug":4248,"title":4249,"description":4250,"icon":4251,"articles":4252},"\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",[4253,4257,4261,4265,4268,4272,4276],{"path":4254,"title":4255,"description":4256,"translated":4236},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Funits","Jednotky","Jak fungují jednotky – uvnitř SI, na obrazovce vaše soustava – a převody, které stojí za většinou chybných výsledků ve statických modelech.",{"path":4258,"title":4259,"description":4260,"translated":4236},"\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":4262,"title":4263,"description":4264,"translated":4236},"\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":3727,"title":4266,"description":4267,"translated":4236},"První výpočet","Zatěžovací stavy, kombinace a lineární statika – a pak hlavně to, jak rozhodnout, zda se výsledku dá věřit.",{"path":4269,"title":4270,"description":4271,"translated":4236},"\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":4273,"title":4274,"description":4275,"translated":4236},"\u002Fcs\u002Fkb\u002Fgetting-started\u002Fquickstart","Rychlý start","Vymodelujte rámovou halu, zatižte ji, spočítejte a přečtěte průběh ohybových momentů – zhruba deset minut od prázdné záložky.",{"path":4277,"title":4278,"description":4279,"translated":4236},"\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":4281,"slug":4282,"title":4283,"description":4284,"icon":4285,"articles":4286},"\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",[4287,4291,4295,4299,4303,4307,4311,4315,4319],{"path":4288,"title":4289,"description":4290,"translated":4236},"\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":4292,"title":4293,"description":4294,"translated":4236},"\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":4296,"title":4297,"description":4298,"translated":4236},"\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":4300,"title":4301,"description":4302,"translated":4236},"\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":4304,"title":4305,"description":4306,"translated":4236},"\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":4308,"title":4309,"description":4310,"translated":4236},"\u002Fcs\u002Fkb\u002Fmodeling\u002Ffirst-model","První model","Celý postup modelování od začátku do konce – geometrie, průřezy, podpory a klouby – na konstrukci tak malé, že ji zkontrolujete ručně.",{"path":4312,"title":4313,"description":4314,"translated":4236},"\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":4316,"title":4317,"description":4318,"translated":4236},"\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":4320,"title":4321,"description":4322,"translated":4236},"\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":4214,"slug":4324,"title":4325,"description":4326,"icon":4327,"articles":4328},"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",[4329,4333,4337],{"path":4330,"title":4331,"description":4332,"translated":4236},"\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":4334,"title":4335,"description":4336,"translated":4236},"\u002Fcs\u002Fkb\u002Fmeshing\u002Frefinement","Lokální zjemnění","Kam prvky investovat, kde se tím nezdržovat a jak zjemnit síť, aniž byste zničili tvar prvků.",{"path":4338,"title":4339,"description":4340,"translated":4236},"\u002Fcs\u002Fkb\u002Fmeshing\u002Felement-size","Volba velikosti prvku","Výchozí hustoty sítě pro desky, stěny a základové desky a test konvergence, který rozhodne, zda je síť dost jemná.",{"path":4342,"slug":4343,"title":4344,"description":4345,"icon":4346,"articles":4347},"\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",[4348,4352,4356,4360,4364,4368,4372],{"path":4349,"title":4350,"description":4351,"translated":4236},"\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":4353,"title":4354,"description":4355,"translated":4236},"\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":4357,"title":4358,"description":4359,"translated":4236},"\u002Fcs\u002Fkb\u002Floads\u002Fenvelopes","Obálky","Získání rozhodující hodnoty z desítek kombinací bez čtení každé zvlášť – a pasti, které to obnáší.",{"path":4361,"title":4362,"description":4363,"translated":4236},"\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":4365,"title":4366,"description":4367,"translated":4236},"\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":4369,"title":4370,"description":4371,"translated":4236},"\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":4373,"title":4374,"description":4375,"translated":4236},"\u002Fcs\u002Fkb\u002Floads\u002Fload-cases","Zatěžovací stavy","Zatížení, vlastní tíha, užitná zatížení a jejich uspořádání – jak sestavit stavy tak, aby zůstaly oddělitelné.",{"path":4377,"slug":4378,"title":4379,"description":4380,"icon":4381,"articles":4382},"\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",[4383,4385,4389,4391,4395,4397],{"path":3889,"title":3890,"description":4384,"translated":4236},"Kritické součinitele zatížení a tvary vybočení – co znamená α_cr, proč je to horní mez a jak ho použít pro účinky II. řádu.",{"path":4386,"title":4387,"description":4388,"translated":4236},"\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":3759,"title":3760,"description":4390,"translated":4236},"Vlastní frekvence a vlastní tvary – modelování hmoty, součinitele účinnosti hmoty a k čemu jsou tato čísla dobrá.",{"path":4392,"title":4393,"description":4394,"translated":4236},"\u002Fcs\u002Fkb\u002Fanalysis\u002Fverification","Ověření řešiče","Úlohy s analytickým řešením, které za deset minut otestují řešič – nosníky, rámy, sloupy, desky a frekvence – s očekávanou chybou každé z nich.",{"path":4063,"title":4064,"description":4396,"translated":4236},"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":1738,"title":1739,"description":4398,"translated":4236},"Sdružené gradienty s Jacobiho, Choleského nebo multigridovým předpodmíněním, nebo přímý rozklad – co který řešič dělá a kdy na volbě záleží.",{"path":4400,"slug":4401,"title":4402,"description":4403,"icon":4404,"articles":4405},"\u002Fcs\u002Fkb\u002Fdesign-checks","design-checks","Posudky","Využití průřezu, rozhodující kombinace a článek normy za každým číslem, které posudek vykáže.","lucide:clipboard-check",[4406,4410,4414,4418,4422],{"path":4407,"title":4408,"description":4409,"translated":4236},"\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":4411,"title":4412,"description":4413,"translated":4236},"\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":4415,"title":4416,"description":4417,"translated":4236},"\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":4419,"title":4420,"description":4421,"translated":4236},"\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":4423,"title":4424,"description":4425,"translated":4236},"\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":4427,"slug":4428,"title":4429,"description":4430,"icon":4431,"articles":4432},"\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",[4433,4437,4441,4445,4449,4453],{"path":4434,"title":4435,"description":4436,"translated":4236},"\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":4438,"title":4439,"description":4440,"translated":4236},"\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":4442,"title":4443,"description":4444,"translated":4236},"\u002Fcs\u002Fkb\u002Freports\u002Fexchange","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":4446,"title":4447,"description":4448,"translated":4236},"\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":4450,"title":4451,"description":4452,"translated":4236},"\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":4454,"title":4455,"description":4456,"translated":4236},"\u002Fcs\u002Fkb\u002Freports\u002Fresult-tables","Tabulky výsledků","Filtrování, řazení a získávání čísel – jak ze spočítaného modelu dostat potřebnou hodnotu bez rolování.",{"path":4458,"slug":4459,"title":4460,"description":4461,"icon":4462,"articles":4463},"\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",[4464,4468,4472,4476,4480],{"path":4465,"title":4466,"description":4467,"translated":4236},"\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":4469,"title":4470,"description":4471,"translated":4236},"\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":4473,"title":4474,"description":4475,"translated":4236},"\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":4477,"title":4478,"description":4479,"translated":4236},"\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":4481,"title":4482,"description":4483,"translated":4236},"\u002Fcs\u002Fkb\u002Fcollaboration\u002Fsharing-projects","Sdílení projektu","Pozvání lidí do modelu, co která role smí, a jak koordinovat dva statiky v jedné konstrukci.",{"path":4485,"slug":4486,"title":4487,"description":4488,"icon":4489,"articles":4490},"\u002Fcs\u002Fkb\u002Ftheory","theory","Teoretické poznámky","Mechanika uvnitř řešiče – formulace prvků, znaménkové konvence, numerické předpoklady a jejich meze.","lucide:sigma",[4491,4492,4495,4499,4503],{"path":4239,"title":6,"description":4232,"translated":4236},{"path":145,"title":4493,"description":4494,"translated":4236},"Formulace prvků","Stupně volnosti, interpolace a meze každého typu prvku v řešiči – co který prvek umí vystihnout a co ne.",{"path":4496,"title":4497,"description":4498,"translated":4236},"\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":4500,"title":4501,"description":4502,"translated":4236},"\u002Fcs\u002Fkb\u002Ftheory\u002Fwinkler-foundations","Winklerův podklad","Model podloží za pružným podepřením – co předpokládá, jak volit modul a kde přesně idealizace přestává platit.",{"path":4504,"title":4505,"description":4506,"translated":4236},"\u002Fcs\u002Fkb\u002Ftheory\u002Fsign-conventions","Znaménkové konvence","Osy, kladné směry a jak číst diagram bez hádání – stránka, která zabrání většině zmatků ve výsledcích.",{"path":4508,"slug":4509,"title":4510,"description":4511,"icon":4512,"articles":4513},"\u002Fcs\u002Fkb\u002Ftroubleshooting","troubleshooting","Řešení potíží","Chyby řešiče, nestabilní modely a výsledky, které vypadají špatně – s obvyklými příčinami uvedenými jako první.","lucide:life-buoy",[4514,4518],{"path":4515,"title":4516,"description":4517,"translated":4236},"\u002Fcs\u002Fkb\u002Ftroubleshooting\u002Fsolver-errors","Chyby řešiče","Co znamená každá třída hlášení řešiče, co ji obvykle způsobuje a co dělat dál.",{"path":3225,"title":4519,"description":4520,"translated":4236},"Proč řešič hlásí singulární matici tuhosti","Nejčastější selhání řešiče – co singularita znamená mechanicky, šest příčin podle četnosti a jak tu svou najít během několika minut.",{"path":4522,"slug":4523,"title":4524,"description":4525,"icon":4526,"articles":4527},"\u002Fcs\u002Fkb\u002Faccount","account","Účet a fakturace","Tarify, limity, faktury a co se stane s projekty, když předplatné skončí.","lucide:credit-card",[4528,4532,4536,4540],{"path":4529,"title":4530,"description":4531,"translated":4236},"\u002Fcs\u002Fkb\u002Faccount\u002Finvoices","Faktury a DPH","Fakturační údaje, doklady, DPH a jak získat fakturu, kterou vaše účtárna přijme.",{"path":4533,"title":4534,"description":4535,"translated":4236},"\u002Fcs\u002Fkb\u002Faccount\u002Fcancelling","Pozastavení nebo zrušení","Jak přestat platit, aniž byste přišli o práci — co se stane s projekty, statickými výpočty a historií, když předplatné skončí.",{"path":4537,"title":4538,"description":4539,"translated":4236},"\u002Fcs\u002Fkb\u002Faccount\u002Fstudent","Studentské účty","Větší bezplatná úroveň pro studenty a výzkumníky — ověření akademické e-mailové adresy, co odemyká a proč se každý rok potvrzuje znovu.",{"path":4541,"title":4542,"description":4543,"translated":4236},"\u002Fcs\u002Fkb\u002Faccount\u002Fplans","Tarify a limity","Co obsahuje tarif Free, co přidává Pro a jak se limity ve skutečnosti měří.",[4545,4549,4553],{"path":4546,"title":4547,"description":4548,"translated":4236},"\u002Fcs\u002Fkb\u002Ffaq","Časté otázky","Otázky, které si statici kladou, než začnou důvěřovat novému programu na MKP – zodpovězené přímo.",{"path":4550,"title":4551,"description":4552,"translated":4236},"\u002Fcs\u002Fkb\u002Frelease-notes","Poznámky k vydání","Co bylo vydáno a co to mění ve vašich modelech.",{"path":4554,"title":4555,"description":4556,"translated":4236},"\u002Fcs\u002Fkb\u002Fall","Všechny články","Kompletní seznam článků znalostní báze Elementaria, rozdělený podle 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