Cantilever beam with load at free end Calculator

Externally applied load
lbs
Elastic Modulus
lbs
Area moment of inertia
inches
Length of the beam
inches
Load position

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

Cantilever beam with load at free end Calculator

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