摘要
根据混凝土的塑性理论及极限分析的上限方法,探讨了求解钢筋混凝土简支深梁的抗剪强度的数值计算方法。材料性质采用理想的刚塑性模型,混凝土屈服准则采用不考虑混凝土拉应力的修正的库伦屈服准则。分析了钢筋混凝土简支深梁发生塑性剪切破坏时屈服线的形状以及屈服线上混凝土和钢筋的能量耗散情况。最后从能量守恒的原理出发,即屈服线上的混凝土和钢筋消耗能量等于外荷载所做的功,导出了深梁剪切破坏荷载比例因子的隐函数表达式,对此隐函数进行优化求解,得到了深梁发生塑性剪切破坏的极限荷载。
This paper is concerned with the shear strength of simply supported reinforced concrete deep beams, based on plastic theory of concrete and upper bound method. The materials are assumed to be rigid-perfectly plastic. Modified Coulomb failure criteria with tension cut-off are adopted to predict yielding of concrete. The shape of the yield lines as well as the energy dissipating in the concrete and rebar are discussed. Based on the conservation of energy, the work done by external loads on a deep beam equals the internal energy dissipated in the concrete and reinforcement on the yield line, an implicit function of load factor is obtained. Minimizing the implicit function, the limit load for shear failure is found.
出处
《工程力学》
EI
CSCD
北大核心
2005年第4期167-170,136,共5页
Engineering Mechanics
关键词
深梁
剪切强度
塑性分析
极限荷载
能量原理
deep beam
shear strength
plastic analysis
limit load
energy principle
