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1、学号：S160100018姓名;童汉元简支箱梁约束扭转算例已知某预应力混凝土简支箱梁，计算跨径为40m，沿梁长等截面。截面尺寸如图1所示。采用C40混凝土，剪切模量G=1.445×104MPa，弹性模量E=3.40×104MPa。荷载为跨中作用一偏心荷载P=451.0kN，偏心距e=2.35m(计算约束扭转时，可以简化为集中力矩Mk=1060.0kN)。具体分两个工况进行：（1）跨中截面腹板位置作用一对对称集中竖向荷载，荷载大小为P/2=225.5kN；（2）跨中截面腹板位置作用一对反对称集中竖向荷载，荷载大小为P/2=
2、225.5kN。分别计算跨中截面、1/4跨位置截面上的正应力与剪应力分布，并绘制相应的正应力和剪应力分布曲线。图1箱梁截面尺寸(尺寸单位：cm)1.工况一：跨中对称荷载作用ANSYS命令流finish/CLEAR/PREP7ANTYPE,STATIC!定义箱梁厚度（单位：米）t1=0.22t2=0.30t3=0.34ET,1,SHELL63R,1,t1R,2,t2R,3,t3!定义实常数跟所选单元有关本单元采用壳单元只需要厚度MP,EX,1,3.4E10!弹性模量和剪切模量1为材料参考号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$AATT,1,1,1!选择面S选择新面作为子集loc按坐标值选择ASEL,S,LOC,X,-2.35$AATT,1,2,1!Y中心坐标y值为0.955
4、的面ASEL,S,LOC,X,2.35$AATT,1,2,1!设置面的单元属性相应定义点线体的命令不同ASEL,S,LOC,Y,-1.165$AATT,1,3,1!材料号，实常数，单元类型ALLSEL,ALLNUMMRG,ALLNUMCMP,ALLMSHAPE,0$MSHKEY,1ESIZE,0.5!划分网格AMESH,ALLFINISH/SOLUNSEL,S,LOC,Z,0！施加约束NSEL,R,LOC,Y,-1.165D,ALL,UX,,,,,UY,UZNSEL,ALLNSEL,S,LOC,Z,40NSEL,R,LO
5、C,Y,-1.165D,ALL,UYNSEL,ALLF,node(-2.35,0.955,20),FY,225500！施加荷载F,node(2.35,0.955,20),FY,225500SOLVEFINISH/POST1PATH,STRESS1,7！定义应力路径共7个点，6点至7点时会有应力路径重复问题PPATH,1,,-4.75,0.955,20$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!跨中截面正应力云图PLPATH,STRESS1!跨中截面正应力曲线PDEF,STRESS1,S,XYPLPAGM,STRESS1,5.0!跨中截面剪应力云图P
7、LPATH,STRESS1!跨中截面剪应力曲线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!跨中截面正应力云图PLPATH,STRESS2!跨中截面
8、正应力曲线PDEF,STRESS2,S,XYPLPAGM,STRESS2,5.0!跨中截面剪应力云图PLPATH,STRESS2!跨中截面剪应力曲线计算结果图(a)1/2跨正应力云图和应力曲线图(b)1/2跨剪应力云图和应力曲线图(c)1/4跨正应力云图和应力曲线图(d)1/4跨正应力云图和应力曲线图2.工况二：跨中
