Alternative Analytical Method Used in Plotting theShear Force and Bending Moment Diagrams,Displacements and Rotations Distributions forBeams Subjected to Bending

摘要

The actual graphical methods used by engineers when plotting the stress distributionsare based on integrating the differential equations of stresses for each beam segment. Theresulting integration constants are obtained by imposing boundary conditions for each beamsegment. Using MathCAD,this alternative proposed analytical method uses the step functionф(x-a) which introduces a compact form of the stresses,strain and displacements expressions.The constructive optimization is thus easier to be performed.