结构力学求解器作业.docx
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结构力学求解器作业
结构力学求解器作业
3-8试作多跨静定梁的M、Fs图。
题3-8
解:
内力计算
杆端1杆端2
单元码轴力(kN)剪力(kN)弯矩(kN/m)轴力(kN)剪力(kN)弯矩(kN/m)
10.0000000023.75000000.000000000.00000000-36.2500000-37.5000000
20.0000000018.7500000-37.50000000.0000000018.75000000.00000000
30.0000000018.75000000.000000000.00000000-41.2500000-45.0000000
40.0000000022.5000000-45.00000000.0000000022.50000000.00000000
50.000000007.500000000.000000000.00000000-7.500000000.00000000
反力计算
结点约束反力合力
支座
结点水平(kN)竖直(kN)力矩(kN/m)大小(kN)角度(kN)力矩(kN/m)
10.0000000023.75000000.0000000023.750000090.00000000.00000000
20.0000000055.00000000.0000000055.000000090.00000000.00000000
40.0000000063.75000000.0000000063.750000090.00000000.00000000
60.000000007.500000000.000000007.5000000090.00000000.00000000
M图
Fs图
3-16试作图示钢架的M图。
结点约束反力合力
支座
结点水平(kN)竖直(kN)力矩(kN/m)大小(kN)角度(kN)力矩(kN/m)
1-10.00000000.000000000.0000000010.0000000180.0000000.00000000
410.00000000.000000000.0000000010.00000000.000000000.00000000
50.0000000060.00000000.0000000060.000000090.00000000.00000000
M图
6-4图示衍架各杆截面均为A=2*10**-3(m**2),E=210Gpa,F=40kN,d=2m。
试求
(a)C点的竖向位移;(b)角ACD的改变量。
题6-4
解:
内力计算
杆端1杆端2
单元码轴力(kN)剪力(kN)弯矩(kN/m)轴力(kN)剪力(kN)弯矩(kN/m)
1-113.1370840.000000000.00000000-113.1370840.000000000.00000000
256.56854240.000000000.0000000056.56854240.000000000.00000000
356.56854240.000000000.0000000056.56854240.000000000.00000000
4-113.1370840.000000000.00000000-113.1370840.000000000.00000000
580.00000000.000000000.0000000080.00000000.000000000.00000000
6-120.0000000.000000000.00000000-120.0000000.000000000.00000000
780.00000000.000000000.0000000080.00000000.000000000.00000000反力计算
结点约束反力合力
支座
结点水平(kN)竖直(kN)力矩(kN/m)大小(kN)角度(kN)力矩(kN/m)
10.0000000080.00000000.0000000080.000000090.00000000.00000000
50.0000000080.00000000.0000000080.000000090.00000000.00000000
Fn图
(a)C点的竖向位移为:
-0.00352101m
(b)角ACD的改变量为:
-0.0051564rad
6-12试用图乘法求指定位移。
题6-12
解:
位移计算
杆端1杆端2
单元码u-水平位移v-竖直位移-转角u-水平位移v-竖直位移-转角
10.000000000.00000000-0.000000950.000000000.000000000.00000191
20.000000000.000000000.000001910.00000000-0.000005720.00000762
30.000000000.000000000.000001910.000000000.00000000-0.00000095
40.000000000.00000000-0.000000950.00000000-0.00000095-0.00000095
50.00000000-0.000000950.000000950.000000000.000000000.00000095
60.000000000.000000000.000000950.000000000.00000000-0.00000191
70.000000000.00000000-0.000001910.000000000.000000000.00000095
80.000000000.00000000-0.000001910.00000000-0.00000572-0.00000762
变形曲线
1,绞C左右两截面相对转角为0.0000019*F*(a**2)
2,CD两点距离改变
由于C点向下下降了0.00000095*a**3,而D点没有位移变化,所以CD之间的距离改变由原来的1.414a变为
6-16结构的温度改变如图所示,试求C点的竖向位移。
各杆截面相同且对称于形心轴,其厚度为h=l/10,材料的线膨胀系数为a。
题6-16
解:
位移计算
杆端1杆端2
单元码u-水平位移v-竖直位移-转角u-水平位移v-竖直位移-转角
10.00000000-10.00000000.25000000-0.250000000.000000000.25000000
2-0.250000000.000000000.25000000-12.75000000.00000000-0.25000000
3-0.250000000.000000000.2500000012.25000000.00000000-0.25000000
变形曲线
C点的竖向位移是10*l*a