How to Calculate Slope at the End of a Simply Supported Beam

What is the formula to calculate the slope at the end of a simply supported beam?

Given data: A simply supported beam carries uniformly distributed load of 20 kN/m over the length of 8 m. If El=55000 kN.m2, what is the slope at the end of the beam?

The formula to calculate the slope at the end of a simply supported beam is:

θ = (w * L^3)÷ (24 * El)

Calculating the slope at the end of a simply supported beam involves using the formula:

θ = (w * L^3)÷ (24 * El)

Where θ represents the slope at the end of the beam, w is the uniformly distributed load, L is the length of the beam, and El is the flexural rigidity of the beam.

Substitute the given values into the formula:

θ = (20 * 8^3) ÷ (24 * 55000)

Calculate the expression:

θ = (20 * 512) ÷ (24 * 55000)

θ = 10240 ÷ 1320000

θ = 0.0077

Therefore, the slope at the end of the beam is 0.0077.