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机构地区:[1]湖南科技大学土木工程学院,湖南湘潭411201
出 处:《湖南工业大学学报》2015年第2期31-37,共7页Journal of Hunan University of Technology
基 金:湖南科技大学研究生创新基金资助项目(S140009)
摘 要:将半无限长梁自由端无限延伸,形成无限长梁;基于Winkler地基上无限长梁的解答,求得集中力偶作用下原半无限长梁自由端处的剪力和弯矩。利用半无限长梁自由端需满足弯矩及剪力为零的条件,求得需在自由端施加的外荷载。分别计算外荷载和集中力偶在作用点处产生的挠度,叠加求得集中力偶作用下半无限长梁在作用点处的挠度,并提出集中力偶作用下的悬挑影响系数计算公式。根据静力平衡和变形协调条件,建立竖向荷载和力矩共同作用下具有悬挑的十字交叉基础的节点分配荷载的一般公式。Semi-infinite beam is extended from free end to infinitely long beam. Based on solutions for infinitely long beam on Winkler foundation, the shear force and bending moment at the free end of semi-infinite beam under the concen- trated couples are derived. The external load applied at the free end is obtained by using the condition of the free end to meet zero moment and zero shear. The deflections at the action points are calculated separately under external loads and concentrated couples and the deflection at the action points are calculated under superposition of concentrated couples and external loads, and the calculation formula for cantilever influence coefficient with the action of concentrated couple is presented. According to the conditions of static equilibrium and deformation compatibility, general formulas for distribute load on joints of cantilever crossed foundation beams under vertical load and moments are given.
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