Bending Moment of a Cantilever Beam with a Uniformly Distributed Load (UDL) Calculator

Load (P):

Distance between the two supports (L):

Distance from left support (x):

How This Is Calculated

Maximum Bending Moment (at the fixed support): $$ M_{max} = \frac{P \cdot L^2}{2} $$ Bending moment for any distance x from the left support: $$ M_{x} = \frac{P \cdot x^2}{2} $$ where:

M = Bending Moment (Nm)

P = Load per unit length (N/m)

L = Distance between the two supports (m)

x = Some distance from the left support (m)

Assumptions

The beam behaves according to Hook's Law.
The load is evenly distributed across the beam.
Deflections of the beam are assumed to be small relative to its length.
The cross-section is uniform.
The weight of the beam is negligible.

Related Calculators

Point Load on a Cantilever Beam

Point Load at Center of Cantilever Beam