定积分法求解弯曲变形问题

SOLUTION OF DEFLECTION OF BEAMS BY DEFINITE INTEGRAL METHOD

本文采用定积分方法求解梁的弯曲变形问题。该方法不需要采用边界条件来确定积分常数,有效地简化了问题的求解过程;该方法以梁的转角微元为逻辑起点,清晰地刻画了梁弯曲变形的累加过程,便于深刻理解载荷作用下梁的变形历程。

In this paper,the definite integral method is used to solve the deflection of beams.The method does not need boundary conditions to determine the integral constant,which effectively simplifies the solution process of the problem.The method takes the slope infinitesimal element of the beam as the logical starting point,and clearly describes the cumulative process of deflection of beams,which is convenient for a deep understanding of the deflection process of the beam under load.