Engineering Mechanics

Proceedings Vol. 13 (2007)

ENGINEERING MECHANICS 2007

Copyright © 2007 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Sobotka J.
pages 253 - +10p., full text

The classical mathematical model of beam-columns contains derivatives of functions for the bending moment, the shear force, the axial force, the slope, and the deflection, that are not defined at points in which internal supports or concentrated lateral and axial loading or internal hinges or internal sliding connections are situated. In order that the mathematical model of the beam-columns may be valid also at these points of discontinuity we use generalized functions and derive the generalized mathematical model in the form of a system of ordinary differential equations. We use the Laplace transform for solving this generalized model with constant axial tension force. The solution found is the generalization of the classical initial parameters method because it covers also discontinuous beam-columns, i.e. with internal hinges or internal sliding connections.

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