超静定梁变形计算的积分法

从线性化弯矩和曲率关系出发,将超静定梁多余反力的弯矩叠加到梁截面弯矩中去,经两次积分得到了包括积分常数和多余反力的分段转角方程和挠曲线方程,利用边界条件和连续条件确定积分常数和多余反力,进而确定了转角方程和挠曲线方程.文中工作扩大了积分法的应用范围. 教学实践表明，用积分法解超静定梁的变形能够起到帮助学生学习和掌握固体力学的边值问题解题思想的作用.

The integration method for deformation calculation of statically indeterminate beam

Base on the linear relationship of curvature and moment, adding the moment of unknown reactions to the moment of section of beam ,both the slops and the deflection equations can be obtained by integration, in witch the constants of integration and unknown reactions can be evaluated from boundary conditions and continuity conditions, the slops and deflection equations and equations are also obtained. The working expands the scope of application of traditional integration method. Teaching practice has showed that using integration to calculate the deformation of statically indeterminate beam is good in helping students to learn boundary value problems of solid mechanics.