Question

In a simply supported beam \( (l + 2a) \) with equal overhangs \( (a) \) and carrying a uniformly distributed load over its entire length, B.M. at the middle point of the beam will be zero if

• A. \( l = 2a \)
• B. \( l = 4a \)
• C. \( l<2a \)
• D. \( l>a \)

Hint:

- When overhangs are half the span of the beam, the bending moment at the center is zero.

Answer 1

The Correct Option is A

Step 1: Understanding moment distribution. - In a simply supported beam with equal overhangs and UDL, bending moment cancels at the midpoint when \( l = 2a \). Step 2: Selecting the correct option. Since the midpoint bending moment is zero when \( l = 2a \), the correct answer is (A).