# Cantilever Beam Slope and Deflection Calculator with Uniformly Distributed Load

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. The cantilever beam slope and deflection calculator with uniformly distributed load determine the slope and deflection based on externally applied load, elastic modulus, area moment of inertia, the length of the beam, and the load position.

### Example:

Calculate cantilever beam slope and deflection with uniformly distributed load from the given,

Externally applied load P = 50

Elastic Modulus E = 15

Area moment of inertia I = 20

Length of the beam L = 20

Load position x = 15

#### Solution:

Slope at free end = 50 x 20^{3} / 6 x 15 x 20

= 222.22
Deflection at any section = 50 x 15^{2}( 15^{3} + 6 x 20^{2} - 4 x 20 x 15 ) / 24 x 15 x 20

= 7148.43