T302

Cantilever Beam with Intermediate Load

This page provides formula for beam shear, moment and deflection formula for a cantilever beam with an Intermediate load.

Nomenclature:
R = Reaction force
V = Shear force
F = Loading force
M = Moment
l = beam length
a = Support to force dimension
b = Force to beam end dimension
x = location
E = Modulus of elasticity
I = Moment if Inertia
y = deflection

Relationships:
--------------
R1 = V = F 
M1 = -F * a
MAB = F * (x - a)
MBC = 0
yAB = (F * x^2)/(6 * E * I) * (x - 3 * a)
yBC = (F * a^2)/(6 * E * I) * (a - 3 * x)
ymax = (F * a^2)/(6 * E * I) * (a - 3 * l)  at x = l