Please use our intuitive, free online tool to calculate the slope and deflection of a cantilever beam when subjected to a concentrated load at any designated point. This calculator is designed to provide accurate results for determining the beam’s slope and deflection under the influence of a full load. Its user-friendly interface makes it convenient for engineers, students, and anyone interested in structural analysis and beam behavior.

## Cantilever beam with load at any point formula

Slope at free end = Pa^{2} / 2EI

Deflection at any section = Px^{2}(3a-x) / 6EI(for x less than a)

Deflection at any section = Pa^{2}(3x-a) / 6EI(for a less than x)

The variables used in the formula are:

P is the externally applied load,

E is the Elastic Modulus,

I is the Area moment of Inertia,

L is 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