中文摘要：

考虑梁柱连接的半刚性及P-△效应，对结构力学中的弯矩二次分配法和D值法进行修正。采用三参数力学模型模拟半刚性钢框架梁柱节点梁的弯矩一转角性能，用螺旋弹簧模拟节点连接的半刚性，推导了杆端弯矩，转动刚度，传递系数的计算公式。对梁柱刚度进行修正，提出半刚性连接钢框架内力及侧移的近似计算方法。算例表明，梁柱连接的半刚性使结构的内力发生重分布，P-△效应使层间侧移增大，设计时必须考虑连接的半刚性及P-△效应的影响。本文方法简捷明了，满足精度要求，便于工程实际应用。

英文摘要：

The secondary-moment distribution method and D - value method of structural mechanics were modified by considering semi-rigid connection of the beam - column node and P-△effect. The calculation formulas of the end moments, the rotation rigidity and the transmission coefficient were derived by using three parameters mechanical model to simulate the moment - rotation of beam - column connections of semi - rigid steel frame and helical spring to simulate semi - rigid connections of the nodes. An approximate calculation method for the internal forces and sway of the semi - rigid jointed steel frame were given by amending the Stiffness of beam and column. The results show that internal forces in the structure is redistributed as a result of connections of semi - rigid steel frame and the story deflections increases as a result of P-△ effect, so the effect of the semi - rigid connection and P-△ effect must be considered in design. The method of this paper is simple and clear, meets the desire of precision and is easy to use for engineering design.