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考虑十字交叉条形基础截面剪切变形影响,利用Winkler地基Timoshenko梁无限长梁在集中力、集中力偶作用下的变形和内力关系,推导了带悬挑的半无限长梁的集中力、集中力偶作用下的悬挑系数计算公式。当条形基础抗剪刚度趋于无穷大时可退化成不考虑剪切变形影响的Euler梁理论结果,因此该文公式是一种通用公式。剪切变形对集中力的悬挑系数影响大、对集中力偶的悬挑系数影响小。对于节点较密、截面尺寸较大、对变形敏感的十字交叉条形基础,应该考虑截面的剪切变形影响。根据静力平衡条件和变形协调条件,建立了可同时考虑截面剪切变形和节点集中力、集中力偶作用的带悬挑十字交叉条形基础的节点荷载分配的统一公式。算例结果显示:虽然节点处作用的集中力偶较小,但其可以改变竖向荷载在节点x、y两方向上的分配,力偶数值越大,影响越明显。考虑条形基础截面剪切变形影响后,计算的节点荷载分配更均匀。
Considering the influence of shear deformation on the cross-section of the strip foundation, the relationship between the deformation and the internal forces of infinitely long beam of Timoshenko beam with Winkler foundation under the action of concentrated force and concentrated force is deduced. Cantilever coefficient under the action of the formula. When the strip-based shear stiffness tends to infinity, it can degenerate into the Euler beam theory which does not consider the influence of shear deformation. Therefore, the formula is a general formula. Shear deformation has a great effect on the overhang coefficient of the concentrated force and has little effect on the overhang coefficient of the even force. For the node is dense, section size larger, deformation-sensitive cross-strip basis, should consider the shear deformation of cross-section. According to the static equilibrium conditions and the deformation coordination conditions, a uniform formula for node load distribution with cantilevered cross-shaped strip foundation is established, which can consider the shear deformation of sections and the concentrated force of the nodes simultaneously. The results of the example show that although the concentrated coupling force acting at the node is small, it can change the distribution of the vertical load in the two directions of nodes x and y. The bigger the value of the force is, the more obvious the influence is. Considering the influence of shear deformation of strip foundation section, the calculated node load distribution is more uniform.