What is the maximum deflection for a cantilever beam with a point load at the fr
Practice Questions
Q1
What is the maximum deflection for a cantilever beam with a point load at the free end?
PL^3/3EI
PL^4/8EI
PL^3/48EI
PL^2/2EI
Questions & Step-by-Step Solutions
What is the maximum deflection for a cantilever beam with a point load at the free end?
Step 1: Identify the variables in the formula. You need to know the point load (P), the length of the beam (L), the modulus of elasticity (E), and the moment of inertia (I) of the beam's cross-section.
Step 2: Understand the formula for maximum deflection. The formula is δ = PL^3 / 3EI.
Step 3: Plug in the values for P, L, E, and I into the formula.
Step 4: Calculate L^3 (length cubed).
Step 5: Multiply the result from Step 4 by P (the point load).
Step 6: Multiply E (modulus of elasticity) by I (moment of inertia).
Step 7: Divide the result from Step 5 by the result from Step 6, and then divide that by 3 to find the maximum deflection (δ).
