Bending Moment of Simply Supported Beam with a Center Point Load Calculator

Load (P):

Distance between the two supports (L):

Distance from left support (x):

How This Is Calculated

Maximum Bending Moment: $$ M_{max} = \frac{P \cdot L}{4} $$ Bending moment for 0 ≤ x ≤ L/2: $$ M_{x} = \frac{P \cdot x}{2} $$ Bending moment for L/2 < x ≤ L: $$ M_{x} = \frac{P \cdot (L-x)}{2} $$ where:

M = Bending Moment (Nm)

P = Load (N)

L = Distance between the two supports (m)

x = Some distance from the left support (m)

Assumptions

The beam is simply supported.
The load is concentrated at a single point at the center of the beam.
The material of the beam behaves according to Hooke's Law.
The cross-section is uniform.
The weight of the beam is negligible.

Related Calculators

Point Load on a Simply Supported Beam

UDL Over Entire Span of Simply Supported Beam