|Table of Contents |Section Contents|

SHEAR, MOMENT AND DEFLECTION OF BEAMS

CANTILEVER - UNIFORM LOAD

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