【摘要】：為了研究單向受彎簡支鋼梁的彈性彎扭屈曲理論,尤其是復(fù)雜荷載作用下的臨界彎矩計算,針對端彎矩和任意集中荷載共同作用下的簡支梁,首先給出了能夠模擬復(fù)雜變形并滿足邊界條件的側(cè)向彎曲變形函數(shù)和扭轉(zhuǎn)變形函數(shù),以及任意荷載下的構(gòu)件彎矩表達(dá)式,然后采用Rayleigh-Ritz法推導(dǎo)出了簡支梁臨界彎矩及其參數(shù)的通用計算公式,臨界彎矩計算公式與傳統(tǒng)公式在形式上完全相同,便于應(yīng)用。算例分析表明:該通用公式不僅適用于端彎矩、任意集中荷載、滿跨均布荷載單獨作用下的簡支梁,也適用于端彎矩和任意集中荷載共同作用下的簡支梁,具有廣泛的適用性,且精度較高。
[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.
【作者單位】： 山東建筑大學(xué)土木工程學(xué)院;
【分類號】：TU391
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本文編號：2456332