The equations of deflection curve,slope,moment and shear with undetermined coefficients are derived from the approximate differential equation for the deflection curve of the beam,taking into account the effect of the distributed couple,and the contribution of various loads and support reactions to the deflection curve and slope of the beam is specified.It is pointed out that the maximum number of the equation of the deflection curve is determined by the specific load form comparison between the distributed loads and the distributed couple.The solution idea of equating the distributed force couples is also given.The calculation method in this paper has the characteristics of stylization and generalization and allows the undetermined coefficients to be determined by establishing boundary conditions,thus allowing the deflection,internal forces and support reactions of the beam to be obtained simultaneously.The content of the paper is an extension of the classical content of material mechanics,which can deepen students'understanding of beam deformation and internal force calculation.
关键词
分布荷载/分布力偶/挠曲线方程/转角方程/弯矩方程/剪力方程
Key words
distributed load/distributed couple/equation of the deflection curve/equation of the slope/equation of the moment/equation of the shear
维普
万方数据