均布荷载作用下具有初始几何位移悬臂梁的承载力分析

Bearing Capacity of the Cantilever Beam with Initial Geometric Deflection under Distributed Loads

销(栓)接钢结构由于结点连接处的销(栓)与孔存在间隙,使结构体系产生初始几何位移,对结构的刚度、强度和稳定产生不可忽略的影响。对均布荷载作用下的悬臂梁,用平衡法在基本假定的前提下,推导出悬臂梁稳定承载力的计算公式;以及考虑初始几何位移的影响,由边缘纤维屈服准则推导出悬臂梁的强度承载力计算公式,并用算例验证了初始几何位移对梁承载力的影响。

The pin-connected （bolt-connected） steel structure, due to the interstice between pin （bolt） and pinhole （keyhole） in the node point, has an initial geometric deflection, which exerts a great influence on the rigidity, strength and stability of the structure. The stability bearing capacity of cantilever beam under the distributed loads is got using balanced method based on the assumption in the paper. The formula of the intensity bearing capacity is also got based on the yielding criterion of the cross-sectioned edge stress. The influence of the initial geometric deflection on the bearing capacity of the beam is verified through calculation.