按共同工作原理分析十字交叉梁系基础是一个十分复杂的空间体系力学课题,目前研究的还很少。本文首先根据里兹(Ritz)变分原理建立各种可能节点力和节间荷载作用下梁系基础的实用变分通式,然后引用麦耶霍夫(G.G.Meyerhof)等代刚度梁概念计入上部框架刚度对该通式的影响;为使计算能正确地进行,还另给出供校核用的平衡通式。 Analyzing the cross-beam system foundation based on the common working principle is a very complicated space system mechanics task, and there are few researches at present. In this paper, firstly, according to Ritz’s variational principle, a variety of possible nodal forces and practical variants of beam foundations under internode loads are established. Then the concept of GG Meyerhof stiffness beam is used as a basis. The influence of the rigidity of the upper frame on this formula; for the calculation to be carried out correctly, an equilibrium formula for verification is also given.