Civil Engineering MCQFE Civil Exam (USA)

A 3 m long cantilever beam carries a uniformly distributed load of 4 kN/m. The flexural rigidity EI is 2.1 x 10^4 kN-m^2. What is the slope at the free end in radians?

ACI Concrete Testing MethodsBeam DeflectionHARD

Choose the correct answer

A

0.00171

B

0.00343

C

0.00686

D

0.01371

Correct Answer

B. 0.00343

Why is this the answer?

The slope at the free end of a cantilever beam under a uniformly distributed load is given by the formula θ = wL^3 / (6EI). Substituting the values: θ = (4 * 3^3) / (6 * 2.1 * 10^4) = 108 / 126000 = 0.000857 rad. Note: The original explanation cited the formula for deflection (wL^4/8EI) instead of slope, and the provided options appear to be based on a different calculation or error. Given the options, 0.000857 is the correct physical result.

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