简支槽形梁考虑空间受力的理论解  

THEORETICAL SOLUTION OF SIMPLE SUPPORTED TROUGH GIRDER CONSIDERING SPATIAL EFFECT

作　　者：聂建国[1,2] 胡红松[1,2] 

机构地区：[1]清华大学土木工程系,北京100084 [2]土木工程安全与耐久教育部重点实验室,北京100084

出　　处：《工程力学》2012年第12期64-71,共8页Engineering Mechanics

基　　金：国家自然科学基金项目(50778103);长江学者和创新团队发展计划项目(IRT00736)

摘　　要：该文在综合考虑槽形梁的整体弯曲、局部弯曲、剪力滞效应和主梁扭转作用的基础上,用势能驻值原理导出了简支槽形梁在均布荷载作用下的解析解。通过与有限元计算结果的对比,验证了理论解的正确性和适用性。通过算例分析发现:随着高宽比或宽跨比的增大,局部弯曲对道床板纵向正应力的贡献增大;算例采用的截面尺寸剪力滞效应非常明显,槽形梁的宽跨比对道床板的有效宽度系数影响显著;是否考虑主梁扭转对最终的计算结果影响不大。This paper presents a theoretical solution of a simple supported trough girder under uniformly distributed loads by using the principle of stationary total potential energy. The global bending of the trough girder, local bending and shear lag effect of the slab and torsion effect of the main-beam are considered. With comparison of FEA results, the theoretical solution is verified to be correct and applicable. Following results are found through example analysis： 1） as the height-to-width ratio or width-to-span ratio increases, the contribution of the local bending to the longitudinal stress increases; 2） shear lag effect is obvious in the example, and the width-to-span ratio has great influence on the effective width ratio of the slab; 3） whether to consider torsion effect of the main-beam has little influence on the final results.

关 键 词：槽形梁 势能驻值原理 整体弯曲 局部弯曲 剪力滞 主梁扭转 

分 类 号：TU323.3[建筑科学—结构工程]