Abstract
The study presents a direct method for obtaining symbolic solutions for continuous beams. The external applied concentrated forces, distributed forces and moment couples are represented by step/singular functions. The integration of the governing differential equation and the solution of the boundary and support conditions are performed using Mathematica. The output of the code produces closed-form symbolic solutions for the beam deflection and its derivatives, as well as all support reactions and moments. Several examples are presented to illustrate the capability of the proposed procedure.
| Original language | English |
|---|---|
| Pages (from-to) | 69-76 |
| Number of pages | 8 |
| Journal | International Journal of Mechanical Engineering Education |
| Volume | 36 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2008 |
Keywords
- Computer algebra
- Continuous beam
- Mathematica
- Symbolic computation
ASJC Scopus subject areas
- Education
- Mechanical Engineering