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中文摘要：
为确定钢结构柱脚中抗剪键的设计难题，考虑抗剪键与混凝土的协同作用效应，基于Timoshenko梁理论，分别按混凝土应力一应变关系的线弹性和非线性模型推导了抗剪键设计埋深的微分方程．对非线性模型的微分方程采用Galerkin法简化为代数方程，通过数值计算得到了抗剪键的理论埋深值，并建立了可供实际应用的计算表格．计算结果表明，按线弹性理论计算的抗剪键埋深偏小，偏于不安全．抗剪键的设计埋深主要与抗剪键的截面有效回转半径、考虑抗剪键与混凝土相对刚度的抵抗惯性矩及抗剪键承担的剪力大小等3个因素有关．
英文摘要：
The synergistic effects between shear connector and concrete in steel column base were considered for determination of shear connector length. Based on the Timoshenko beam theory, two differential equations for calculating the shear connector length were deduced considering linear and nonlinear concrete stress-strain relationships respectively. The differential equation of the nonlinear model was simplified into an algebraic equation by the Galerkin method, and design tables for rapid determination of the shear connector length were set up by numerical calculation. The analytical results showed that the shear connector length with linear model is shorter than that of nonlinear model and unsafe in practice. The determination of the shear connector length mainly depends on its effective inertial radius, the inertial moment reflecting the shear conhector-to-concrete stiffness ratio, and the magnitude of the shear force in column base.
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