赵燕潞¹，王  维²
(1中国建筑上海设计研究院有限公司，上海200063; 2上海市政设计研究总院，上海200092)

[摘要] 对变截面预应力梁进行有限元分析时，其预应力荷载最终要转化到单元节点上，因此有关变截面梁预应力效应的计算是解决此类问题的关键，根据有限元理论，引入变截面梁单元的形函数，推导了计算具有任意预应力筋曲线形状及沿预应力筋纵向具有任意分布的预应力所产生的变截面梁端等效荷载的积分表达式。从而为预应力混凝土变截面梁的计算提供了一种新的求解思路。
[关键词] 变截面梁；预应力混凝土；等效节点荷载

Calculation of the pre-stress effects in concrete non-prismatic beam
Zhao Yanlu¹,  Wang Wei²
(1 China Shanghai Architectural Design and Research Institute Co., Ltd., Shanghai 200063, China; 2 Shanghai Municipal Engineering Design Generallnstitute Shanghai 200092, China)

Abstract: When analyzing prestressed concrete non-prismatic beams with the theory of finite element, the prestres:sed load will be eventually transferred to the element node, so calculating the equivalent nodal load of prestressed concrete beams with non-prismatic sections is very important. According to the theory of finite element,a formula for calculating the equivalent nodal load due to prestressing with any initial tendon profile and any distribution of prestress along the cable has been developed by using the shape function of a non-prismatic beam element, which offers a effective analysis algorithm for designing non-prismatic beams in prestressed concrete structures.
Keywords: non-prismatic beam; prestressed concrete; equivalent nodal load