DIFFERENTIAL QUADR ATURE METHOD FOR SOLVING BENDING DEFOR MATION PROBLEMS OF BEAMS UNDER COMPLEX LOADS¹⁾

In the classroom teaching, when there are complex loads acting on the beam, it is necessary to establish the load equation by sections, with a large amount of work in the integral calculation and the integral constant determination, especially when the distributed load is expressed in a nonlinear form, the integral operation becomes tedious. In this paper, the differential quadrature method is used to solve the bending deformation problems of beams, and the solving process is programmed. Firstly, based on the basic principle of the differential quadrature method, the load equation of the beam is transformed into a set of linear algebraic equations, and then the algebraic equations are solved by the Gaussian principal element elimination method to obtain the correct solutions of the deflection and the rotation angle of the beam. Through three teaching examples, the feasibility and the accuracy of the differential quadrature method for solving bending deformation problems of beam are verified.