EngiRef / Civil Engineering Formula

Maximum Moment (Simply Supported, Uniform)

Maximum Moment (Simply Supported, Uniform): Maximum bending moment at center. A Beams formula in civil engineering. Variables Mₘₐₓ, w and L, each with SI and…

Beams

Specification

Name
Maximum Moment (Simply Supported, Uniform)
Discipline
civil
Category
Beams
LaTeX
M_{max} = \frac{wL^2}{8}
Description
Maximum bending moment at center
Conditions
Simply supported beam with uniform load
Can solve for
Mₘₐₓ, w, L
Tags
moment, beam, uniform, simply, supported

Variables

Variables for Maximum Moment (Simply Supported, Uniform)
SymbolNameUnitSi UnitImperial Unit
MₘₐₓMaximum MomentN·mN·mft·lbf
wLoad per Unit LengthN/mN/mlbf/ft
LSpanmmft

Common questions

What is the Maximum Moment (Simply Supported, Uniform) formula?
Maximum bending moment at center. It sits under Beams, Civil engineering in the EngiRef reference.
What do the symbols in the Maximum Moment (Simply Supported, Uniform) formula mean?
In Maximum Moment (Simply Supported, Uniform), Mₘₐₓ is maximum moment in N·m; w is load per unit length in N/m; L is span in m.
When does the Maximum Moment (Simply Supported, Uniform) formula apply?
Maximum Moment (Simply Supported, Uniform) holds under this condition: Simply supported beam with uniform load.