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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。
In order to study the theory of elastic flexural-torsional buckling of unidirectional bent simple-supported steel beams, especially for the calculation of critical moment under complicated loads, aiming at the simply supported beams under the joint bending moment and arbitrary concentrated load, Lateral bending deformation function and torsional deformation function that simulate complex deformation and meet the boundary conditions, and moment moment expressions of component under arbitrary load, and then generalized the critical moment and its parameters of simply supported beam by Rayleigh-Ritz method Formulas, critical moment calculation formula and the traditional formula in exactly the same form, easy to use. The case study shows that this general formula is not only applicable to simply supported beams under the action of bending moment, arbitrary concentrated load and full span uniform load, but also to simply supported beams under the joint action of end bending moment and arbitrary concentrated load. Has a wide range of applicability, and high accuracy.