求教铝型材扭曲计算
求教铝型材扭曲计算data:image/png;base64,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
如上图6061型材件,如果向图示方向扭转,需要多大力?
初算是2000KG,有高手指点一下是否正确?
本帖最后由 Lean_2017.feng 于 2024-6-1 17:44 编辑
假定图示水平方向为x轴,竖直方向为y轴
简单测算(合理假设内部尺寸),截面特性为:
1. 极轴中心坐标为(x,y的中心为简单对称中心):0,-2.8
2. Ix = 2.93 cm4(Wx1 = 3.01 cm3 ,Wx2 = 1.92 cm3 , x轴切分截面后,上下部分材料不对称)
3. Iy = 10.94 cm4(Wy1 = Wy2 = 5.49 cm3)
关于扭转可承受的载荷问题,可用扭转强度计算公式:
抗扭剪切应力 = 扭矩 / 抗扭截面模量
上面存在3个截切模量,最小的即为危险截面
将材料的需用剪切应力带入,即可得到最大许可扭矩,扭矩是载荷中心到扭转中心距离与载荷的乘积。
6061-T6 的理论剪切强度为138-163Mpa, 此处选择138Mpa
选取1.5的安全系数,简单计算如下(注意单位应一致,请自行转换)
扭矩 = 3.01 cm3 * ( 138 Mpa / 1.5 )=276.92 N.m
如果载荷中心位置就在截面侧边,即距中心20mm处,施加此载荷,那么载荷为 276.92 / 0.02 = 13846N
值得注意的是,这种测算通常还应复核计算截面抗剪:
同样用上述假设 ,在载荷13846N下的剪切应力为 13846N / 6.67 cm2(截面积)= 20.76Mpa < ( 138 Mpa / 1.5 )
抗剪OK。
上述说明仅供参考。
扭转需要多大的力?你需要扭转多大角度?
页:
[1]