水平荷载作用下钢板深梁弹性力学解  

THE ELASTIC MECHANICS CALCULATION METHOD FOR A STEEL PLATE DEEP-BEAM SUBJECTED TO HORIZONTAL LOADS

作　　者：江力强 郑宏[1] 袁晓洒[1] 孙娜[1] 

机构地区：[1]长安大学建筑工程学院,西安710061

出　　处：《工程力学》2014年第2期146-150,163,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(50678025);陕西省外国专家局择优项目(SLZ2008008);中央高校基本科研业务费专项项目(CHD2012TD012)

摘　　要：通过建立力学模型,应用弹性力学中的半逆解法对水平荷载作用下钢板深梁应力与位移进行计算。推导出钢板深梁有关的应力分量与位移分量的解析计算公式。结果表明:非加劲钢板深梁计算所得结果与试验结果对比,能够满足精度要求。对于两侧加劲钢板深梁,随加劲肋与钢板的面积比的改变,钢板深梁应力分布也发生改变。当面积比为0时,所得解与非加劲钢板深梁解一致;随面积比增大时,钢板深梁正应力减小,最终近似为纯剪受力状态。所得解为构件设计和稳定性分析提供理论基础。The stress and displacement of a steel plate deep-beam （SPDB） under horizontal loads are predicted by establishing a mechanical model and applying a semi-inverse method in elastic mechanics. The analytical formulas for the stress components and displacement components of SPDB were derived. Experimental results show that the calculation with the formulas could meet the requirements of accuracy. For the SPDB with both sides stiffening ribs, the stress distribution varies as the stiffener-plate area ratio changes. When the stiffener-plate area ratio is zero, the solution of SPDB is equal to that of a non-stiffened one. The normal stress of SPDB declines with increasing stiffener-plate area ratios until an approximately pure shear condition occurs. The solution provides a theoretical foundation for steel component design and stability analysis.

关 键 词：弹性力学 钢板深梁 半逆解法 水平荷载 试验验证 

分 类 号：TU313.1[建筑科学—结构工程] TU352.1