T301

Cantilever Beam with End Load

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

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:
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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