摘要
工程上计算梁弹塑性弯曲挠度时,由于弯矩与曲率的关系比较复杂,用积分方法计算颇为不便。本文以矩形截面悬臂梁为例,运用静矩的概念,得到挠度正比于弯矩一曲率曲线图形面积对1/ρ轴的静矩的结论。用近似的方法推导出线性强化材料自由端挠度的近似计算公式。这方法使计算工作得到简化,具有一定的精度。最后将所得结果与最大弹性挠度作了比较。
In engineering,owing to the relation between bending moment and curvature is quite complicated,it is not convenient to calculate the deflection during elastic and plastic bending of a beam by the method of integration.Using a hanging arm beam of rectangular cross section as an example,and applying the conception of static moment,this paper obtains a conclusion that the deflection is directly proportional to the static moment of the area of bending moment-curvature curve graph against 1/ρ axis.Using method of approximation, this paper derives a formula of approximate calculation for the free end deflection of linear strengthened material.This method simplifies the procedure in calculation,and has a certain accuracy.At last,the result obtained has been compared with the maximum elastic deflection.
出处
《工业工程》
1988年第1期81-89,共9页
Industrial Engineering Journal
