【摘要】 根据弹性力学的基本原理 ,建立了矩形域在边界上受纵向剪切载荷的牛曼 (New mann)问题 ;应用广义阶梯函数来表示载荷 ,然后再将其展开成傅立叶级数形式 ,推导出纵向剪切问题的位移计算公式 .结合载荷的可能分布形式 ,给出了几种情况下位移及剪应力的表达式 .此解答在工程中有一定的理论及实际意义 .更多还原

【Abstract】 According to the fundamental theory of elasticity , the Newmann problem of the rectangular region with longitudinal shear load is set up ;The Fourier series of load is given by using generalized step function and the displacement formula of the longitudinal shear problem is derived . In this paper , the expressions of the displacement and the shear stress are presented according to the possible form of the longitudinal load. This solution is of some academic and practical significance.更多还原