What is the formula for the deflection of a simply supported beam under a central point load?
Practice Questions
1 question
Q1
What is the formula for the deflection of a simply supported beam under a central point load?
PL^3 / 48EI
PL^3 / 12EI
PL^3 / 24EI
PL^3 / 36EI
The deflection (δ) at the center of a simply supported beam under a central point load (P) is given by δ = PL^3 / 48EI.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the formula for the deflection of a simply supported beam under a central point load?
Solution: The deflection (δ) at the center of a simply supported beam under a central point load (P) is given by δ = PL^3 / 48EI.
Steps: 5
Step 1: Identify the type of beam. We are dealing with a simply supported beam.
Step 2: Understand the load applied. There is a central point load (P) acting at the center of the beam.
Step 3: Recognize the variables involved in the formula. L is the length of the beam, E is the modulus of elasticity of the material, and I is the moment of inertia of the beam's cross-section.
Step 4: Write down the formula for deflection (δ) at the center of the beam. The formula is δ = PL^3 / 48EI.
Step 5: Plug in the values for P, L, E, and I into the formula to calculate the deflection.
