Couple M is applied at C on a simply supported beam AB. The maxim

Couple M is applied at C on a simply supported beam AB. The maxim
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Couple M is applied at C on a simply supported beam AB. The maximum shear force on AC will be

A. Zero

B. M

C. 2M/3

D. M/3

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Explanation:

ΣFy = 0:

R1 + R2 = 0

ΣMA = 0:

∴ R2 × 3 = -M

\(\begin{array}{l} {R_2} = \frac{{ - M}}{3}\\ {R_1} = \frac{M}{3} \end{array}\)

So maximum shear force = M/3