RANDOM GATE QUESTIONS

Strength Of Materials

2. A simply supported beam of span length 6 m and 75 mm diameter carries a uniformly distributed load of 1.5 kN/m.

What is the maximum value of bending moment?

1

6.75 kNm

 Correct Answer

2

13.5 kNm

3

81 kNm

4

125 kNm

Explanation

RA + RB =1.5 × 6 = 9 kN

Taking moment about B, we get

RA × 6 = 1.5 × 6 × 3

∴ RA = RB = 4.5 KN

Mmax=4.5x+(−1.5)×x22$M_{max}=4.5x+\left(-1.5\right)\times \frac{x^2}{2}$

At x = 3, we get

Mmax=6.75 kNm