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.