Bending moments

The bending moment is the amount of bending that occurs in a beam. It is a calculation used to identify where the greatest amount of bending takes place.

For most beams with a uniformly distributed load (UDL), this bending occurs mid-span. The type of load and its location has a significant impact on the overall bending of a beam.

Bending moment graphs

See if you can match each beam diagram with its matching bending moments graph. The first diagram and graph are given as an example.

Select the remaining graphs to move them next to their matching beam diagram.

This picture shows the correctly matched beam diagram and shear force graph.

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Note: Conventions for moments vary - here the clockwise moment is regarded as positive. If the other convention is used, that a clockwise moment is negative, then the graphs shown will be reflected in the x axis (ie inverted).