T304

Cantilever Beam with a Moment Load

This page provides formula for beam shear, moment and deflection formula for a cantilever beam with a Moment load.
Beam Illustration

Nomenclature:
R = Reaction force
V = Shear force
M = Moment
l = beam length
x = location
E = Modulus of elasticity
I = Moment if Inertia
y = deflection

Relationships:
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R1 = 0 
M1 = MB
M = MB
V = 0
y = (MB * x^2) / (2 * E * I)
ymax = (MB * l^2) / (2 * E * I)  at x = l