Generalized Functions And Calculus Operators Of Mathematica Applied To Evaluation Of Influence Lines And Envelopes Of Statically Indeterminate Beams

Abstract

The paper presents an analytical method of finding functions of influence lines of statically indeterminate beams. There are presented solutions of a fourth order equation with a right hand side with second and third derivative of Dirac delta. There is shown that their solution are influence lines of moments and transverse forces. Moreover, thanks to Mathematica, analytical form of envelopes functions can be evaluated.

Keywords

• Influence lines
• fundamental solution
• generalized functions
• Dirac delta
• Heaviside step function
• structural mechanics
• differential equations
• envelopes
• Mathematica