预应力混凝土曲线梁的静力计算

Static analytic method for pre-stressed curved girder

按等代荷载法将空间预应力等效为竖向荷载和径向荷载,利用能量变分原理,推导出曲线梁竖向和径向的基本微分方程、边界条件,并求得相应的闭合解。通过算例比较,结果吻合较好。分析了中心角、曲率变化对曲线梁的内力影响,得到有益的结论。

According to the equivalent load law, the spatial pre-stress is equal to the vertical and the radial direction load. On the basis of the energy-variational principle, the differential equations and boundary conditions of curved girder under the vertical and the radial direction load are derived, and the corresponding closed solution is obtained. The results of numerical calculation and other methods are well matched. The stress variation of curved girder bridge caused by the central angle and the curvature are discussed. The results are important to the design of curved girder bridge.