Bending Moment of a Cantilever 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 (middle of the beam):

M_{m a x} = \frac{P \cdot L}{2}

Bending moment for 0 ≤ x < L/2:

M_{x} = \frac{P \cdot L}{2} - P \cdot x

Bending moment for L/2 ≤ x ≤ L:

M_{x} = \frac{P \cdot L}{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

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