求解阶梯形超静定梁弯曲的传递矩阵法

A TRANSFER MATRIX METHOD FOR BENDING ANALYSES OF STEPPED CROSS-SECTIONAL AND STATICALLY INDETERMINATE BEAMS

介绍了求解梁弯曲时的传递矩阵法。首先将梁分成单元，然后对单元进行受力分析和变形分析，得出了梁受弯时的一般解。最后利用该解构成传递矩阵。这里介绍的传递矩阵法采用矩阵形式表达，不论是静定问题还是超静定问题，都使用同样的程序进行计算，非常适合上机计算。

This paper introduces the transfer matrix method for bending analyses of beams.The beams are divided into many elements first. Then, the force and the deformation endured by the elements are analyzed. After obtaining the general solution for the bending of the beams, the results are used to construct a transfer matrix. This method is expressed in the matrix form and is applicable both for statically determinate and indeterminate problems; the method is well suited to the computer-based calculation.