A concentrated load P acts on a simply supported beam of span L a

A concentrated load P acts on a simply supported beam of span L a
| A concentrated load P acts on a simply supported beam of span L at a distance L/4 from the left end. The bending moment at the point of application of load is given by:

A. PL/4

B. 3PL/9

C. 3PL/16

D. PL/16

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

Right Answer is: C

SOLUTION

R1 + R2 = P

R2 × L = P × L/4

R2 = P/4

R1 = 3P/4

Bending moment at the point of applied load:

\({M_P} = {R_1} \times \frac{L}{4} = \frac{{3P}}{4} \times \frac{L}{4} = \frac{{3PL}}{{16}}\)

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