# Cantilever Beam Slope and Deflection With Uniform Load Calculator

The beam anchored at only one end is known as a cantilever beam. The beam carries the load to the support where it is forced against by a moment and shear stress. Determine the slope and deflection of a cantilever beam with uniform load at both the ends using this online cantilever beam calculator. The externally applied load, elastic modulus, area moment of inertia, the length of the beam, and the load position are the parameters in cantilever beam slope and deflection with uniform load calculator.

### Example:

Calculate cantilever beam slope and deflection with uniform load Given that,

Externally applied Load(P) = 85 lbs

Elastic Modulus(E) = 455 psi

Area moment of inertia(Iz) = 45 inches

Length of the beam(L) = 59 inches

Load position(x) = 10

#### Solution:

P_{0}= 85 x 59 / (59 -10)

=102.34

Slope = 102.34 x 59^{3} / 6 x 455 x 45

= 42.77

Deflection = 102.34 x 10^{2} ( 10^{3} + 6 x 59^{2} - 4 x 59 x 10 ) / 24 x 455 x 45

=122.43