# Cantilever Beam Slope, Deflection for Load at Any Point Formula - Civil Engineering

#### Formula Used:

Slope at free end = Pa2 / 2EI
Deflection at any section = Px2(3a-x) / 6EI(for x less than a)
Deflection at any section = Pa2(3x-a) / 6EI(for a less than x)

Where,

P is the externally applied load,
E is the Elastic Modulus,
I is the Area moment of Inertia,
Lis the Length of the beam and
x is the position of the load
a is the distance of load from one end of the support
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