T303-Cantilever Beam with Uniform Load

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

Beam Illustration

Beam Illustration

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:
————–
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

Back Up Next

Leave a Reply

Your email address will not be published. Required fields are marked *