Use our free online tool to effortlessly calculate the slope and deflection of a cantilever beam with a load at the free end. This calculator is specifically designed to help you determine the slope and deflection of the beam under a uniformly distributed load. You can quickly obtain accurate results for the beam’s characteristics by inputting the relevant parameters. This tool proves valuable for engineers and individuals studying structural mechanics and beam analysis.
Cantilever beam with load at free end formula
Slope at free end = PL3 / 6EI
Deflection at any section = Px2( x3 + 6L2 – 4Lx ) / 24EI
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