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趙燕潞¹，王  維²
(1中國(guó)建筑上海設(shè)計(jì)研究院有限公司，上海200063; 2上海市政設(shè)計(jì)研究總院，上海200092)

[摘要] 對(duì)變截面預(yù)應(yīng)力梁進(jìn)行有限元分析時(shí)，其預(yù)應(yīng)力荷載最終要轉(zhuǎn)化到單元節(jié)點(diǎn)上，因此有關(guān)變截面梁預(yù)應(yīng)力效應(yīng)的計(jì)算是解決此類(lèi)問(wèn)題的關(guān)鍵，根據(jù)有限元理論，引入變截面梁?jiǎn)卧男魏瘮?shù)，推導(dǎo)了計(jì)算具有任意預(yù)應(yīng)力筋曲線形狀及沿預(yù)應(yīng)力筋縱向具有任意分布的預(yù)應(yīng)力所產(chǎn)生的變截面梁端等效荷載的積分表達(dá)式。從而為預(yù)應(yīng)力混凝土變截面梁的計(jì)算提供了一種新的求解思路。
[關(guān)鍵詞] 變截面梁；預(yù)應(yīng)力混凝土；等效節(jié)點(diǎn)荷載

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