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How to Determine the Position and Value of Maximum Bending Moment For a Simply Supported Beam.

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George Kamiti

Hello good people. George Kamiti here. Thank you so much for taking your time to watch today's educational video on how to determine the position of maximum bending moment and calculating it's value.

The maximum bending moment in a given flexural structure is always important in estimating both structural displacement (stiffness) and stress (strength) performance of structures in practical designs. Designers are particularly interested in developing an appropriate procedure to minimize the maximum moment through optimal structure design.

The bending moment occurs when an external force is applied to a structural element (such as a column or beam), causing the element to bend and eventually fail. For example, for a simply supported beam carrying a load, the maximum bending moment occurs in the beam at the point of maximum stressthe final moment before it fails. This principle is critical in building design for maximum structural integrity.

There are two types of bending moments, depending on which way the bending occurs.
Sagging or positive bending which occurs when the top fiber compresses, causing a tension (or pulling) reaction in the bottom fiber.
Hogging, also known as negative bending, occurs when compression occurs at the bottom, causing tension at the top.

Bending moment is maximum when shear force is zero. Using the shear force diagram, you can easily determine the position of maximum bending moment. To get its value, you should multiply the force and distance from the point of action of the force up to the maximum bending moment position on the sfd.
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posted by sleutelenu1