Alternative Analytical Method Used in Plotting the Shear Force and Bending Moment Diagrams, Displacements and Rotations Distributions for Beams Subjected to Bending

Marin, Cornel; Filip, Vivian; Marin, Alexandru
January 2009
AIP Conference Proceedings;1/12/2009, Vol. 1089 Issue 1, p156
Academic Journal
The actual graphical methods used by engineers when plotting the stress distributions are based on integrating the differential equations of stresses for each beam segment. The resulting integration constants are obtained by imposing boundary conditions for each beam segment. Using MathCAD, this alternative proposed analytical method uses the step function [uppercase_phi_synonym](x-a) which introduces a compact form of the stresses, strain and displacements expressions. The constructive optimization is thus easier to be performed.


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