网架结构设计方案

4.14.1.11414-112Jmr3mrJ+−03mJr−4166rmm33Jr−3Jr−mJr−312[]KK0[]KK0[]K4.1.2112l50ml80m23214224342433444445445353L30m4464630mL60mL60mL90m120mL150m180mJGJ7-9114060º490º48474890º45º4545m55.3468.42m4999112.2m62.774.1m49410410560ºL88.681m2314111360mD=110m76.84114124040m.536m6412413413132132m2424m4140.7072.584156.9m1212m45º6812.2511.51/4z3535m4854m414415741545º2836m2736m45º4162818m416417341724m98D=47.18m418a418b418ab419644.48.45m14.4203.79m429419420572178m30120m513JGJ7-91D=15m4214224231044214221142324m12.115.24m5421m1893672m1824m4254254241213FormexA1gebra198788m51m42642641411.011.51.514154.24.2.1124m6m6m245º60º3442L2m18m4.2.2421642(24)+0.2L2(68)+0.08L21014(68)+0.07L2(1317)0.03L212344.2.3117427Z1.01.3kN/m20.61.6mmQ215Q235LF211.01.8kN/m224281.5kN/m2427428184.2.41L260mL2/300L242921%4%1/1505%10%4.2.5L2/250L2/300L2194.34.3.11γ=78.5kN/m302/200kwgqLξ=42g0kkN/m2L2mqwkN/m2=1.0=1.2GB50009-20012GB50009-2001GBJ9-873204GBJ7-918º8º9º4.3.21)(210∑=++=niQicQGqqqqϕγ43qkN/m2qGqG=qkqk1.21.0qQ1qQiiqQ1=qkkiQQiqqγ=Qγ4.1=Qγ0.1=Qγ0γ1.11.00.9cϕ0.61.02)(0vkEvEvhkEhEhEGGECECGCSγγγγ++=44SEhγEvγ43EG4421hkEvkEGCEhCEvC43Ehγ1.31.3Evγ1.30.5440.50.51.00.80.50.33.1+2+3++224.44.4.11.43043012342.12234.4.24311.1uvw234431242.ij431FijFjiijij⎪⎪⎭⎪⎪⎬⎫∆−∆=∆−∆=)()(ijijijjijiijijijlEAFlEAF45alijEAij⎥⎦⎤⎢⎣⎡∆∆⎥⎦⎤⎢⎣⎡−−=⎥⎦⎤⎢⎣⎡jiijijjiijlEAFF111145b{}[]{}δKF=45c[]Kij[]⎥⎦⎤⎢⎣⎡−−=1111ijijlEAK46XYZijixiyizijxjyjzjijlij222)()()(ijijijijzzyyxxl−+−+−=47ijxyzαβγFijxyzFjixFjiyFjizFjixyzFiixFiiyFiiz48a⎪⎭⎪⎬⎫============nFFFmFFFlFFFnFFFmFFFlFFFjijiijzjijiijyjijiijxijijjizijijjiyijijjixγβαγβαcoscoscoscoscoscos431ij25ijijlxxl−==αcosijijlyym−==βcosijijlzzn−==γcos43248b⎭⎬⎫⎩⎨⎧⎥⎥⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎢⎢⎣⎡=⎪⎪⎪⎪⎭⎪⎪⎪⎪⎬⎫⎪⎪⎪⎪⎩⎪⎪⎪⎪⎨⎧jiijijzijyijxjizjiyjixFFnmlnmlFFFFFF000000{}[]{}FTFij=48c48almnl2+m2+n2=1{}[]{}ijTFTF=48d{}Fij{}TjiijFFF][={}ijFij{}TijzijyijxjizjiyjixijFFFFFFF][=[]T49⎥⎦⎤⎢⎣⎡=nmlnmlT000000][ijxyzujivjiwjiuijvijwij26410a⎭⎬⎫⎩⎨⎧∆∆⎥⎥⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎢⎢⎣⎡=⎪⎪⎪⎪⎭⎪⎪⎪⎪⎬⎫⎪⎪⎪⎪⎩⎪⎪⎪⎪⎨⎧jiijijijjijijinmlnmlwvuwvu000000{}}]{[δδTij=410bijTT}{][}{δδ=410c}{δijTji][}{∆∆=δ{}ijδij{}Tijijijjijijiijwvuwvu][=δ410c45cijTTKF}{]][[}{δ=41148cijijijTijKTKTF}{][}{]][][[}{δδ==412ijijK][⎥⎦⎤⎢⎣⎡⎥⎦⎤⎢⎣⎡−−⎥⎥⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎢⎢⎣⎡==nmlnmllEAnmlnmlTKTKijijTij0000001111000000]][][[][⎥⎥⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎢⎢⎣⎡−−−−−−−−−=222222222lnlnlnln][nmnnmnmlmmnmlmllmlnmnmlmllEAKijijij413[K]ij66433⎥⎥⎦⎤⎢⎢⎣⎡=ijjjiijjiiijKKKKK][][41427⎥⎥⎥⎦⎤⎢⎢⎢⎣⎡=−=−==222ln][][][][nmnmlmllEAKKKKijijjiijijjjii415412⎥⎦⎤⎢⎣⎡⎥⎥⎦⎤⎢⎢⎣⎡=⎭⎬⎫⎩⎨⎧}{}{][][][][}{}{jiijijjjiijjiijiijKKKKFFδδ416iji}{ijFTjizjiyjixijFFFF][}{=}{jiFijjTijzijyijxjiFFFF][}{=}{ijδijiTjijijiijwvu][}{=δ}{jiδijjTijijijjiwvu][}{=δ416[Kij][Kji]ijjiij[Kjii][Kijj]ijij3.433iiijikilimiPixPiyPizTiziyixiPPPP][}{=i433i}{}{}{}{}{iimilikijδδδδδ=====L}{ijδ}{ikδ}{ilδ}{imδijikilimi}{iδiTiiiiwvu][}{=δiii28{Fij}{Fik}{Fil}{Fim}{Pi}417416ij}]{[}]{[}{jijijiiijKKFδδ+=ik}]{[}]{[}{kikikiiikKKFδδ+=il}]{[}]{[}{lililiiilKKFδδ+=im}]{[}]{[}{mimimiiimKKFδδ+=i417}{}]{[}]{[}]{[}]{[}]){[][][]([imimlilkikjijimiiliikiijiiPKKKKKKKK=+++++++++δδδδδLL418∑==+++++cnimimlilkikjijiniiPKKKKK1}{}]{[}]{[}]{[}]{[}]{[δδδδδLcii∑=cnniiK1][][iiK][][][][][miiliikiijiiiiKKKKK++++=L18n3n⎥⎥⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎢⎢⎣⎡=⎥⎥⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎢⎢⎣⎡⎥⎥⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎢⎢⎣⎡}{}{}{}{}{}{}{}{][][][][][][][][][][21212222111211nininniniininiPPPPKKKKKKKKKKMMMMMOLMMOLLLLδδδδ419a}{}]{[PK=δ419b{K}3n3n{}{}=[u1v1w1uiviwiunvnwn]T{P}{P}=[P1xP1yP1zPixPiyPizPnxPnyPnz]T291[Kij][Kji]24.[K]1Kz3033zzzzHIEK=420EzIzHz214419b{P}RR⎥⎦⎤⎢⎣⎡⎥⎦⎤⎢⎣⎡=⎥⎦⎤⎢⎣⎡}0{}{][][][][}{}{22211211δKKKKRP}]{[}{11δKP=421a}]{[}{21δKR=421b419aizwi=0cc421ac=3(i-1)+3=3i419aB=1081012izwi=0kccB422a422b43431⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧=⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎣⎡MMMMMOMLMMLLMLMOMMLLLLizyxicnccccncncPPPwvukkkkkkkkkkkk111121222221111211422a⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧=⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎣⎡MMMMMOMLMMLLMLMOMMLLLLizyxicnccncncPPPwvukBkkkkkkkkkk111121222221111211422b422bciziccPBwvkuk=++++LL1211B0==BPwizi422a1izwi=0kcc1422a422c⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧=⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎣⎡MMMMMOMLMMLLMLMOMMLLLL001001111222221111211yxincncPPwvukkkkkkkk422c22ccwi=02KzixKzc=3(i-1)+1=3i232kcckz423⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧=⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎣⎡+MMMMMOMLMMLLMLMOMMLLLLizyxicnzccccncncPPPuvukkkkkkkkkkkkk1111212222211112114233iwiwi422ac=3(i-1)+3=3icwi1422a424acwi⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧∆∆−∆−=⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎣⎡MMMMMOMLMMLLMLMOMMLLLLcycxinnkPkPwvukkkkkk2111112222111211010000424aiwic=3(i-1)+3=3ikccBcPizB424b⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧∆=⎪⎪⎪⎭⎪⎪⎪⎬⎫⎪⎪⎪⎩⎪⎪⎪⎨⎧⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎣⎡MMMMMOMLMMLLMLMOMMLLLLBPPwvukBkkkkkkkkkkyxicnccncnc111121222221111211424bc∆=++++BBwvkukiccLL1211Bwi∆=∆==BBBPwizi334435435AA=10610843643734437nijxyzix’y’z’jx”y”z”ij{iδ}{jδ}Tiiiiwvu][}{=δTjjjjwvu][}{=δ{}{}'iδjδTiiiiwvu][}{''''=δTjjjjwvu][}{=δ),cos(),cos(),cos(''''zxwyxvxxuuiiii++=),cos(),cos(),cos(''''zywyyvxyuviiii++=),cos(),cos(),cos(''''zzwyzvxzuwiiii++=425}]{[}{'iiiRδδ=[Ri]i⎡,cos('x⎤⎢⎢=),cos(),cos(),cos(),cos()),cos(][''''''''zyyyxyzxyxxRi⎥⎥⎥426⎦⎢⎣),cos(),cos(),cos(zzyzxzcos(x’,x)cos(x’,y)cos(x’,z)x’xyzR425427}{][}{'iTiiRδδ=428}]{[}{jjjRδδ=429}{][}{`jTjjRδδ=}{δ[]Tnji}{}{}{}{'1δδδδδLLL=[]Tnnnjjjii