简支梁和悬臂梁的弯矩挠度计算

简支梁 图示载荷 C型槽钢 载荷/N 单位载荷/N/mm 跨距/mm 作用点距离/mm 作用点距离/mm 作用点距离/mm 作用点距离/mm 弹性模量/N/mm2 惯性矩/mm4 反力/N 反力/N 剪力/N 剪力/N 弯矩/N.m 选型计算挠度/mm /mm 设计允许挠度/mm 挠度差值/mm F=q*l q l=a+b或l=a1+a2 a(a>b) b a1 a2 E Iy Ra Rb Va Vb Mmax Wsmax x Wmax △W=Wsmax-Wmax ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 x≥b ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 0 注明：1.在使用此表格计算弯矩和挠度时，要结合实际情况选择正确的图示模型。相关参数的设置依据图示上的标注进行设定，切记！！！2.挠度差值=选型计算挠度-设计允许挠度，当挠度差值＜0时符合要求。悬臂梁 图示载荷 C型槽钢 载荷/N 载荷等分数 单位载荷/N/mm 单位载荷长度/mm 臂长/mm 到端点距离/mm 到固定点距离/mm 到固定点任意距离/mm 弹性模量/N/mm2 惯性矩/mm4 反力/N 剪力/N 弯矩/N.m 弯矩/N.m 选型计算挠度/mm 设计允许挠度/mm 挠度差值/mm F=q*l n q c l=a+b或l=a1+a2 a b x＜b＜l E Iy Rb Vb Mx Mmax Wsmax Wmax △W=Wsmax-Wmax ACS-21 0 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 0 210000 11800 0 0 0 0 0 0 0 ACS-31 0 0 0 0 0 0 210000 32700 0 0 0 0 0 0 0 ACS-41 0 0 0 0 0 0 210000 66600 0 0 0 0 0 0 0 ACS-52 0 0 0 0 0 0 210000 139700 0 0 0 0 0 0 0 ACS-62 0 0 0 0 0 0 210000 217800 0 0 0 0 0 0 0 ACS-72 0 0 0 0 0 0 210000 342900 0 0 0 0 0 0 0 ACS-82 0 0 0 0 0 0 210000 478100 0 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 0 210000 55500 0 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 0 210000 334800 0 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 0 210000 734700 0 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 0 ACS-21 0 0 0 0 0 0 0 210000 11800 0 0 0 0 0 0 ACS-31 0 0 0 0 0 0 0 210000 32700 0 0 0 0 0 0 ACS-41 0 0 0 0 0 0 0 210000 66600 0 0 0 0 0 0 ACS-52 0 0 0 0 0 0 0 210000 139700 0 0 0 0 0 0 ACS-62 0 0 0 0 0 0 0 210000 217800 0 0 0 0 0 0 ACS-72 0 0 0 0 0 0 0 210000 342900 0 0 0 0 0 0 ACS-82 0 0 0 0 0 0 0 210000 478100 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 0 0 210000 55500 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 0 0 210000 334800 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 0 0 210000 734700 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 ACS-21 0 0 0 0 0 210000 11800 0 0 0 0 0 0 ACS-31 0 0 0 0 0 210000 32700 0 0 0 0 0 0 ACS-41 0 0 0 0 0 210000 66600 0 0 0 0 0 0 ACS-52 0 0 0 0 0 210000 139700 0 0 0 0 0 0 ACS-62 0 0 0 0 0 210000 217800 0 0 0 0 0 0 ACS-72 0 0 0 0 0 210000 342900 0 0 0 0 0 0 ACS-82 0 0 0 0 0 210000 478100 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 210000 55500 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 210000 334800 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 210000 734700 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 ACS-21 0 0 0 0 0 0 210000 11800 0 0 0 0 0 0 ACS-31 0 0 0 0 0 0 210000 32700 0 0 0 0 0 0 ACS-41 0 0 0 0 0 0 210000 66600 0 0 0 0 0 0 ACS-52 0 0 0 0 0 0 210000 139700 0 0 0 0 0 0 ACS-62 0 0 0 0 0 0 210000 217800 0 0 0 0 0 0 ACS-72 0 0 0 0 0 0 210000 342900 0 0 0 0 0 0 ACS-82 0 0 0 0 0 0 210000 478100 0 0 0 0 0 0 ACS-21D 0 0 0 0 0 0 210000 55500 0 0 0 0 0 0 ACS-41D 0 0 0 0 0 0 210000 334800 0 0 0 0 0 0 ACS-52D 0 0 0 0 0 0 210000 734700 0 0 0 0 0 0 ACS-52-72D 0 0 0 0 0 0 210000 1243300 0 0 0 0 0 0 ACS-72D 0 0 0 0 0 0 210000 1882900 0 0 0 0 0 0 注明：1.在使用此表格计算弯矩和挠度时，要结合实际情况选择正确的图示模型。相关参数的设置依据图示上的标注进行设定，切记！！！2.挠度差值=选型计算挠度-设计允许挠度，当挠度差值＜0时符合要求。