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Bending Moment Equations for Beams
Bending moment equations and formulas offer a quick and easy analysis to determine the maximum bending moment in a beam. They are an important part of structural design, as bending force is often the governing force in the failure of a member. Equations offer a fast way to calculate the maximum bending force in the member, for you to continue with your designs and are a great reference for an engineer to do a rough calc or a quick check of their software results. So feel free to bookmark this page and refer to it anytime you need!
Below is a concise table that shows the bending moment equations for different beam setups. Don’t want to hand calculate these, sign up for a free SkyCiv Account and get instant access to a free version of our beam software!
Use the equations and formulas below to calculate the max bending moment in beams. Bending moment equations are perfect for quick hand calculations and designs for different types of beam, including cantilever, simply supported, and fixed beams. The equations are generally based on empirical results but offer an accurate and quick calculation. All these beam types are covered in the table below!
Find the bending moment equations for your beam project:
Bending Moment Equations Table
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SkyCiv Beam Analysis Software
SkyCiv Beam Analysis Software allows users to analyze beam structures easily and accurately. You can get a simplified analysis of your beam member, including reactions, shear force, bending moment, deflection, stresses, and indeterminate beams in a matter of seconds.
If you want to give it a try first, Free Beam Bending Moment Calculator is a great way to start, or simply sign up for free today!
