Beam Solutions     A good introduction to FE, explains how equations are developed for stiffness and deflection. 
Heat Transfer      This method uses the relaxation theory to calculate heat flow and temperature distribution in a solid object.

FREE Finite Element Beam Solver:-   Based on above theory.  Requires Microsoft Excel to work
Why not check beam solver against these on line Beam Stress Calculators 

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Page last updated 30 January 2002