考虑支座宽度影响多跨连续深梁用和函数法的级数解答

引用一种新的解析法—和函数法求解弹性力学问题,对多跨连续深梁受均布荷载作用时的应力进行了分析,同时,考虑支座宽度的影响,消除解答在下边界某些点上的发散性且满足结构整体的平衡条件,从而更能反映结构的实际应力分布状况,该方法不涉及Airy应力函数。将传统的解析方法用于解决工程实际问题开辟了新途径。

Series Solution of Sum Function Method for Multi span Continuous Deep Beam Considering Effect of Supported Width Condition

A new analytical method with sum function is introduced for solving problems of elasticity.The stress analysis of multi-span continuous deep beam subjected to distributed load has been performed.Meanwhile,considering effect of supported width,the divergence of solution on some bottom boundary points is eliminated and the static equilibrium as a whole is reflected.The present method has no coherence with Airy stress function,which provides a new approach for traditional elasticity analytical method apply to solving the practical engineering problems.