《弹性力学》6-1 矩形梁的纯弯曲应力、应变和挠度计算

已知量部分,,,,,,,,中间量,求解量部分,,,,,,

截面参数/m,,矩形梁长度(l)/m,材料参数,,弯矩值(M)/kN·m,求解点坐标/m,,截面惯性矩(I)/m^4,应力分量/MPa,,,应变分量,,,挠度/m

参数名称,输入值,,弹性模量(E)/MPa,泊松比(ν),,x,y,,σx,σy,τxy,εx,εy,γxy,vy=0

截面高度(h),6,30,210000,0.3,20,3,3,18,3.333333333,0,0,0.000015873,-4.7619E-06,0,0.000214286

截面宽度(b),1,,,,,,,,,,,,,,

注：（1）灰色底纹部分为可更改输入量，其余部分为自动计算部分，无需更改。（2）x、y坐标值依据教材所示坐标系。,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,

,挠度曲线算例（数据列与上表对应）,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,

,,,,,,截面位置（x）/m,,,,,,,,,挠度/m

,6,30,210000,0.3,20,0,0,18,0,0,0,0,0,0,0

,6,30,210000,0.3,20,1,0,18,0,0,0,0,0,0,7.67196E-05

,6,30,210000,0.3,20,2,0,18,0,0,0,0,0,0,0.000148148

,6,30,210000,0.3,20,3,0,18,0,0,0,0,0,0,0.000214286

,6,30,210000,0.3,20,4,0,18,0,0,0,0,0,0,0.000275132

,6,30,210000,0.3,20,5,0,18,0,0,0,0,0,0,0.000330688

,6,30,210000,0.3,20,6,0,18,0,0,0,0,0,0,0.000380952

,6,30,210000,0.3,20,7,0,18,0,0,0,0,0,0,0.000425926

,6,30,210000,0.3,20,8,0,18,0,0,0,0,0,0,0.000465608

,6,30,210000,0.3,20,9,0,18,0,0,0,0,0,0,0.0005

,6,30,210000,0.3,20,10,0,18,0,0,0,0,0,0,0.000529101

,6,30,210000,0.3,20,11,0,18,0,0,0,0,0,0,0.00055291

,6,30,210000,0.3,20,12,0,18,0,0,0,0,0,0,0.000571429

,6,30,210000,0.3,20,13,0,18,0,0,0,0,0,0,0.000584656

,6,30,210000,0.3,20,14,0,18,0,0,0,0,0,0,0.000592593

,6,30,210000,0.3,20,15,0,18,0,0,0,0,0,0,0.000595238

,6,30,210000,0.3,20,16,0,18,0,0,0,0,0,0,0.000592593

,6,30,210000,0.3,20,17,0,18,0,0,0,0,0,0,0.000584656

,6,30,210000,0.3,20,18,0,18,0,0,0,0,0,0,0.000571429

,6,30,210000,0.3,20,19,0,18,0,0,0,0,0,0,0.00055291

,6,30,210000,0.3,20,20,0,18,0,0,0,0,0,0,0.000529101

,6,30,210000,0.3,20,21,0,18,0,0,0,0,0,0,0.0005

,6,30,210000,0.3,20,22,0,18,0,0,0,0,0,0,0.000465608

,6,30,210000,0.3,20,23,0,18,0,0,0,0,0,0,0.000425926

,6,30,210000,0.3,20,24,0,18,0,0,0,0,0,0,0.000380952

,6,30,210000,0.3,20,25,0,18,0,0,0,0,0,0,0.000330688

,6,30,210000,0.3,20,26,0,18,0,0,0,0,0,0,0.000275132

,6,30,210000,0.3,20,27,0,18,0,0,0,0,0,0,0.000214286

,6,30,210000,0.3,20,28,0,18,0,0,0,0,0,0,0.0001