What is the maximum deflection for a cantilever beam with a point load at the fr

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Question: What is the maximum deflection for a cantilever beam with a point load at the free end?

Options:

Correct Answer: PL^3/3EI

Solution:

The maximum deflection (δ) for a cantilever beam with a point load (P) at the free end is given by δ = PL^3/3EI.

What is the maximum deflection for a cantilever beam with a point load at the free end?

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).

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