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Shear and Bending Stresses in Beams

Beams are one of the main design elements a structural engineer will work with. This is a loaded simply supported beam:

For the PE exam, a loaded beam has two main options for failure, shear and bending.

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How to Draw Shear Diagrams

Shear diagrams are an easy way to visualize shear values along a beam or member and also reveal the maximum positive and negative shear values.

The first step will always be to simplify any and all load distributions into point loads and to solve for all exterior reactions.

Begin the shear diagram by drawing a horizontal line, this is the line for zero shear. I like to draw my shear diagrams directly below the actual member so that they line up and I designate my shear diagrams with a big V.

The beam is 20ft long divided into 5 foot sections.

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