T303

Cantilever Beam with Uniform Load

This page provides formula for beam shear, moment and deflection formula for a cantilever beam with Uniform loading.

Nomenclature:
R = Reaction force
V = Shear force
w = Distributed 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 = w * l 
M1 = -(w * l^2)/2
V = w * (l - x)
M = -(w / 2) * (l - x)^2
y = (w * x^2) / (24 * E * I) * (4 * l * x - x^2 - 6 * l^2)
ymax = -(w * l^4) / (8 * E * I)  at x = l