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 = 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)
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
