均布荷载作用下一次超静定梁的弹塑性分析  

ELASTIC-PLASTIC ANALYSIS OF A BEAM WITH ONE DEGREE OF INDETERMINACY UNDER AN EVEN LOAD

作　　者：李会知[1] 刘敏珊[2] 陈淮[1] 吴义章[1] 

机构地区：[1]郑州大学土木工程学院,河南郑州450002 [2]郑州大学工程力学系,河南郑州450002

出　　处：《工程力学》2006年第10期86-90,共5页Engineering Mechanics

摘　　要：通过虚功原理和单位荷载法分析了均布荷载作用下一次超静定梁的弹塑性加载及变形过程。受力变形可分为四个阶段:弹性阶段、固支端附近产生塑性变形阶段、固支端为塑性铰而固支端附近塑性区卸载阶段、固支端保持为塑性铰而梁中部部分区域产生塑性变形直至形成塑性流动阶段。给出了加载各阶段的弯矩、位移公式及外荷载与支反力的关系式,可供工程结构设计和力学教学参考。By using of virtual work principle and the unit-load method, the elastic-plastic process of loading and deflection of a beam with one degree of indeterminacy under an even load is analyzed. The process is divided into four stages： an elastic state in the whole beam, an elastic-plastic state in the region close to the fixed end, an unloading state in the plastic region with a plastic hinge at the fixed end, and an elastic-plastic state in the region near the middle of the beam till the formation of plastic flow state with a plastic hinge at the fixed end. The formulae of the moment and displacement and reaction force at the support of the beam are derived at the four stages. The results are applicable to engineering structure design as well as teaching.

关 键 词：超静定梁 弹塑性 单位荷载法 塑性铰 均布荷载 

分 类 号：TU311[建筑科学—结构工程] TU323.3