This page provides formula for calculating reactions, shear, moments and deflections for a cantilever beam with an end load.

Member Illustration

Nomenclature:

R = Reaction force

V = Shear force

F = Loading force

M = Moment

l = beam length

x = location

E = Modulus of elasticity

I = Moment if Inertia

y = deflection

Relationships:

————–

R1 = V = F

M1 = -F * l

M = F * (x – l)

y = (F * x^2)/(6 * E * I) * (x – 3 * l)

ymax = -(F * l^3)/(3 * E * I) at x = l

Up Next