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:

————–

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

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