Objectives

The objective of this session is to solicit from the participants, simple problems from their respective fields of interest, that are well suited for solving using Scilab. The contributions may consist of the following:

1. A brief and concise problem statement
2. Some concepts, theory and mathematics required to solve the problem
3. Scilab solution in the form of scripts, functions, numerical examples, solutions from known theory and comparison of results obtained from Scilab with those obtained from theory

Sample Problems from Structural Engineering

To get you started, I will list a few problems from structural engineering:

1. Determine the principal stresses and principal planes in a three dimensional state of stress (Theory of elasticity).
2. Determine the free vibration results (natural frequencies and corresponding mode shapes) of a multi-degree of freedom spring-mass system.
3. Analysis of skeletal structures using truss and beam elements by the direct stiffness matrix method of structural analysis
4. Analysis of continua by the Finite Element Method.
5. Optimization of skeletal steel structures (such as trusses, domes, roof grids) designed as per the building code of your country.

Note that the above are not precise problem definitions and do not include theory, solution and code. The last few problems will involve considerable effort even for very simple features (as compared to existing commercial software tools).