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1、學(xué)號(hào):S160100018姓名;童漢元簡(jiǎn)支箱梁約束扭轉(zhuǎn)算例已知某預(yù)應(yīng)力混凝土簡(jiǎn)支箱梁,計(jì)算跨徑為40m,沿梁長(zhǎng)等截面。截面尺寸如圖1所示。采用C40混凝土,剪切模量G=1.445×104MPa,彈性模量E=3.40×104MPa。荷載為跨中作用一偏心荷載P=451.0kN,偏心距e=2.35m(計(jì)算約束扭轉(zhuǎn)時(shí),可以簡(jiǎn)化為集中力矩Mk=1060.0kN)。具體分兩個(gè)工況進(jìn)行:(1)跨中截面腹板位置作用一對(duì)對(duì)稱集中豎向荷載,荷載大小為P/2=225.5kN;(2)跨中截面腹板位置作用一對(duì)反對(duì)稱集中豎向荷載,荷載大小為P/2=
2、225.5kN。分別計(jì)算跨中截面、1/4跨位置截面上的正應(yīng)力與剪應(yīng)力分布,并繪制相應(yīng)的正應(yīng)力和剪應(yīng)力分布曲線。圖1箱梁截面尺寸(尺寸單位:cm)1.工況一:跨中對(duì)稱荷載作用ANSYS命令流finish/CLEAR/PREP7ANTYPE,STATIC!定義箱梁厚度(單位:米)t1=0.22t2=0.30t3=0.34ET,1,SHELL63R,1,t1R,2,t2R,3,t3!定義實(shí)常數(shù)跟所選單元有關(guān)本單元采用殼單元只需要厚度MP,EX,1,3.4E10!彈性模量和剪切模量1為材料參考號(hào)MP,PRXY,1,0.3!泊松比
3、K,1,-4.75,0.955K,2,-2.35,0.955K,3,2.35,0.955K,4,4.75,0.955K,5,2.35,-1.165K,6,-2.35,-1.165KGEN,2,ALL,,,,,40A,1,2,8,7$A,2,3,9,8$A,3,4,10,9A,2,6,12,8$A,3,5,11,9$A,5,6,12,11ASEL,S,LOC,Y,0.955$AATT,1,1,1!選擇面S選擇新面作為子集loc按坐標(biāo)值選擇ASEL,S,LOC,X,-2.35$AATT,1,2,1!Y中心坐標(biāo)y值為0.955
4、的面ASEL,S,LOC,X,2.35$AATT,1,2,1!設(shè)置面的單元屬性相應(yīng)定義點(diǎn)線體的命令不同ASEL,S,LOC,Y,-1.165$AATT,1,3,1!材料號(hào),實(shí)常數(shù),單元類型ALLSEL,ALLNUMMRG,ALLNUMCMP,ALLMSHAPE,0$MSHKEY,1ESIZE,0.5!劃分網(wǎng)格AMESH,ALLFINISH/SOLUNSEL,S,LOC,Z,0!施加約束NSEL,R,LOC,Y,-1.165D,ALL,UX,,,,,UY,UZNSEL,ALLNSEL,S,LOC,Z,40NSEL,R,LO
5、C,Y,-1.165D,ALL,UYNSEL,ALLF,node(-2.35,0.955,20),FY,225500!施加荷載F,node(2.35,0.955,20),FY,225500SOLVEFINISH/POST1PATH,STRESS1,7!定義應(yīng)力路徑共7個(gè)點(diǎn),6點(diǎn)至7點(diǎn)時(shí)會(huì)有應(yīng)力路徑重復(fù)問(wèn)題PPATH,1,,-4.75,0.955,20$PPATH,2,,-2.35,0.955,20PPATH,3,,-2.35,-1.165,20$PPATH,4,,2.35,-1.165,20PPATH,3,,-2.35,
6、-1.165,20$PPATH,4,,2.35,-1.165,20PPATH,3,,-2.35,-1.165,20$PPATH,4,,2.35,-1.165,20PPATH,5,,2.35,0.955,20$PPATH,6,,4.75,0.955,20PPATH,7,,-2.35,0.955,20PDEF,STRESS1,S,ZPLPAGM,STRESS1,5.0!跨中截面正應(yīng)力云圖PLPATH,STRESS1!跨中截面正應(yīng)力曲線PDEF,STRESS1,S,XYPLPAGM,STRESS1,5.0!跨中截面剪應(yīng)力云圖P
7、LPATH,STRESS1!跨中截面剪應(yīng)力曲線PATH,STRESS2,7PPATH,1,,-4.75,0.955,10$PPATH,2,,-2.35,0.955,10PPATH,3,,-2.35,-1.165,10$PPATH,4,,2.35,-1.165,10PPATH,5,,2.35,0.955,10$PPATH,6,,4.75,0.955,10PPATH,7,,-2.35,0.955,10PDEF,STRESS2,S,ZPLPAGM,STRESS2,5.0!跨中截面正應(yīng)力云圖PLPATH,STRESS2!跨中截面
8、正應(yīng)力曲線PDEF,STRESS2,S,XYPLPAGM,STRESS2,5.0!跨中截面剪應(yīng)力云圖PLPATH,STRESS2!跨中截面剪應(yīng)力曲線計(jì)算結(jié)果圖(a)1/2跨正應(yīng)力云圖和應(yīng)力曲線圖(b)1/2跨剪應(yīng)力云圖和應(yīng)力曲線圖(c)1/4跨正應(yīng)力云圖和應(yīng)力曲線圖(d)1/4跨正應(yīng)力云圖和應(yīng)力曲線圖2.工況二:跨中