Fortran编程计算在梁的弯曲变形教学中应用

Application of Fortran Programming Calculation in the Teaching of Beam Bending Deformation

课堂教学中,梁上作用任意复杂分布荷载时,弯矩方程和荷载方程积分法求解梁的弯曲变形问题受到较大限制。论文基于微分求积法原理,采用Fortran语言编程求解梁的荷载方程,梁上分布荷载无论有多么复杂,受弯梁的挠度和转角皆可获解。通过2个教学实例,验证了任意复杂分布荷载作用下梁的弯曲变形应用Fortran语言编程求解的可行性和精确性。

In classroom teaching, when any complex distributed load is applied to the beam, the moment equation and load equation integration method are greatly limited to solve the bending deformation of the beam. Based on the principle of differential quadrature method, the load equation of beam is solved by Fortran language. No matter how complex the distributed load on the beam is, the deflection and rotation angle of bending beam can be solved. Through two teaching examples, this paper verifies the feasibility and accuracy of Fortran programming for the bending deformation of beams under arbitrary complex-distributed loads.