面外荷载作用下曲梁弯扭问题的通解

从曲梁内力Ｍ、Ｔ、Ｑ与荷载集密度ｑ的微分关系出发，导出以扭矩Ｔ为基本未知量的平衡方程，采用Ｌａｐｌａｃｅ变换方法，得出承受任意垂直于曲梁曲率平面荷载的曲梁内力通解，并进一步利用曲梁内力与位移的微分关系，得出相应荷载作用下的位移通解。

Analytical Solutions of Bending and Torsion Problem of Elastic Curved Beam under Vertical Loads

Based on the differential relationship of the internal force(M.T.Q)and loading, the fundamental differential equations of torsion moment are established, and using the differential equations of the internal force and displacement of curved beam, the general analytical solutions of the internal force and displacement of bending and torsion problems of elastic curved beam under vertical loads by appropriate mathematical transformations.