摘要
通过在Newmark 模型中引入(1)描述横向非均匀分布的纵向位移的翘曲形函数和(2)描述钢梁腹板剪切变形的Timoshenko 梁假定,建立了一个能考虑滑移、剪力滞后和剪切变形的钢-混凝土组合梁模型,并推导了均布荷载作用下的解析解。最后通过4 个算例验证了模型和解析解的正确性和适用性,并显示了考虑组合梁剪切变形的必要性。另外,算例还表明,在组合梁的三维有限元建模中采用Timoshenko 梁单元来考虑钢梁的剪切变形会导致显著的误差。
A kinematical model is proposed for steel-concrete composite beams with slip in the steel beam-concrete slab interface, shear lag in the concrete slab and shear deformation in the steel beam. A warping shape function accounting for the non-uniform transverse distribution of longitudinal displacements in the concrete slab and transverse shear deformation of the beam web are introduced into Newmark’s model. A closed-form solution for the case of uniform loading is derived. The model and the solution are then validated by means of four examples, showing the necessity of accounting for the shear deformation of composite beams. In addition, it is found that significant errors result from employing Timoshenko beam elements for the steel beam with shear deformation in 3D finite element modeling of a composite beam.
出处
《工程力学》
EI
CSCD
北大核心
2005年第2期96-103,共8页
Engineering Mechanics
关键词
钢—混凝土组合梁
解析解
滑移
剪力滞后
剪切变形
steel-concrete composite beam
closed-form solution
slip
shear lag
shear deformation
