Free Bending Moment Calculator
Find the maximum bending moment for a simply supported beam with a uniform distributed load.
kN/m
m
Maximum Bending Moment
45.00 kN-m
Maximum Shear Force30.00 kN
Maximum Bending Moment vs Distributed Load (w)
Maximum Bending Moment for a Simply Supported Beam
Under a uniform load, the moment diagram is parabolic with its peak at midspan.
Formulas
M_max = w L^2 / 8 (at midspan)
V_max = w L / 2 (at the supports)
These are the most fundamental results in structural analysis and form the starting point for beam design.
Example Calculation
A 6 m simply supported beam carrying 10 kN/m.
- 01M_max = 10 x 6^2 / 8 = 10 x 36 / 8 = 45 kN-m
- 02V_max = 10 x 6 / 2 = 30 kN
Frequently Asked Questions
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