Development of interactive and learning module : deflection of beams

Abstract

The concept of bending is an important engineering concept used in the analysis of many machining and structural components, such as beams and bars. In the engineering industry, maximum allowable deflection of a beam is a crucial component in a design specification. The purpose of this work is to develop an interactive simulation program to present the forces and deflections for future teaching and learning purposes. In line with numerous mechanics textbooks, the Euler-Bernoulli beam theory was chosen as the approach for the mathematical analysis of the deflection of beams.

The methodology of programming is by modular approach to provide a clear separation between the functional layers. The core of the functional layers is the computational function SJ05.m which performs all sub-function computations and presents the results in the form of maximum deflection, deflection graph, and 2D animation of the deflection. Presentation of the computations is also verified with published solutions of textbook (Ferdinand P. Beer, E. Russell Johnston, Jr., John T. DeWolf, 2006), as well as compared with freeware beam deflection software available to the public.

In an attempt to distinguish between freeware beam application available on the internet, user-friendliness and visual presentation are high importance in the program. Deflection diagram, stating maximum deflection and location of maximum deflection have been tuned to present a gentle curve instead of one that spans over an entire graphical window.