复杂荷载作用下单向受弯简支钢梁的弹性临界弯矩
发布时间：2019-04-11 10:26
【摘要】：为了研究单向受弯简支钢梁的弹性弯扭屈曲理论,尤其是复杂荷载作用下的临界弯矩计算,针对端弯矩和任意集中荷载共同作用下的简支梁,首先给出了能够模拟复杂变形并满足边界条件的侧向弯曲变形函数和扭转变形函数,以及任意荷载下的构件弯矩表达式,然后采用Rayleigh-Ritz法推导出了简支梁临界弯矩及其参数的通用计算公式,临界弯矩计算公式与传统公式在形式上完全相同,便于应用。算例分析表明:该通用公式不仅适用于端弯矩、任意集中荷载、满跨均布荷载单独作用下的简支梁,也适用于端弯矩和任意集中荷载共同作用下的简支梁,具有广泛的适用性,且精度较高。
[Abstract]:In order to study the elastic bending and torsional buckling theory of simply supported steel beams under unidirectional bending, especially the calculation of critical bending moment under complex loads, the simply supported beams under the combined action of end bending moment and arbitrary concentrated load are studied. Firstly, the lateral bending deformation function and torsional deformation function, which can simulate complex deformation and satisfy the boundary conditions, are given, as well as the moment expressions of members under arbitrary loads. Then the general formula for calculating the critical moment and its parameters of simply supported beam is derived by using the Rayleigh-Ritz method. The formula for calculating the critical bending moment is identical in form with the traditional formula and is convenient for application. Numerical examples show that the general formula is applicable not only to simply supported beams under the action of end bending moment, arbitrary concentrated load and full span uniform load, but also to simple supported beams subjected to joint action of end bending moment and arbitrary concentrated load, and it is widely applicable to the simple supported beams under the joint action of end bending moment and arbitrary concentrated load. And the precision is high.
【作者单位】： 山东建筑大学土木工程学院;
【分类号】：TU391
，
本文编号：2456332
[Abstract]:In order to study the elastic bending and torsional buckling theory of simply supported steel beams under unidirectional bending, especially the calculation of critical bending moment under complex loads, the simply supported beams under the combined action of end bending moment and arbitrary concentrated load are studied. Firstly, the lateral bending deformation function and torsional deformation function, which can simulate complex deformation and satisfy the boundary conditions, are given, as well as the moment expressions of members under arbitrary loads. Then the general formula for calculating the critical moment and its parameters of simply supported beam is derived by using the Rayleigh-Ritz method. The formula for calculating the critical bending moment is identical in form with the traditional formula and is convenient for application. Numerical examples show that the general formula is applicable not only to simply supported beams under the action of end bending moment, arbitrary concentrated load and full span uniform load, but also to simple supported beams subjected to joint action of end bending moment and arbitrary concentrated load, and it is widely applicable to the simple supported beams under the joint action of end bending moment and arbitrary concentrated load. And the precision is high.
【作者单位】： 山东建筑大学土木工程学院;
【分类号】：TU391
，
本文编号：2456332
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