超静定梁和刚架是现代建筑结构的重要组成部份。已经问世一百多年的著名的三弯矩方程,虽然至今仍是连续梁的重要解法之一,但三弯矩方程却不能应用于刚架。本文推导了五弯矩方程,用它可以得到超静定梁及节点无侧移刚架的精确解。五弯矩方程也象其它各种精确解法一样,如遇杆件很多的复杂刚架,由于解联立方程式很麻烦,故很难在实际设计中采用手算的方法。但是,若以五弯矩方程作为基本方程在电子 Statically indeterminate beams and rigid frames are an important part of modern building structures. The well-known three-moment equation, which has been available for more than one hundred years, is still one of the important solutions to the continuous beam, but the three-moment equation cannot be applied to a rigid frame. In this paper, the five-moment equation is deduced, and the exact solution of the statically indeterminate beam and its non-lateral rigid frame can be obtained. The five-moment equations are also the same as all other exact solutions. For example, if there are many complicated rigid frames in a bar, the solution for solving the equations is very troublesome, so it is difficult to use the hand-calculation method in actual design. However, if the five-moment equation is used as the basic equation in electronic