矩形截面杆扭转的加权残值解法

Weighted Residual Value Solution to the Rectangular Section Lever Torsion

受扭转外力偶作用的轴类构件,在工程中常应用圆形截面的杆件,但由于设计上的要求,有时也采用矩形截面的杆件 在工程设计中,需要计算矩形截面杆的扭转剪应力和扭转角 利用加权残值法计算了矩形截面杆扭转的剪应力和扭转角,计算结果与弹性力学精确解十分接近。

The axis components with torsion force are generally made of lever parts with round section in engineering. However, levers with rectangular section are used because of the requirements of design. In engineering design, it is necessary to calculate the shearing stress and torsion angle of rectangular section levers. This paper calculates the shearing stress and torsion angle of rectangular section levers by means of weighting method. The results are very close to the accurate solution with elasticity but the calculating process is easier than that with elasticity. Therefore, this method is of application value in engineering practice.