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MHT CET2016PhysicsMechanical Properties of Solids

Let a steel bar of length l , breadth b and depth d be loaded at the center by a load W . Then the sag of bending of beam is (Y = Young's modulus of steel)

Options

  1. AW l 3 2 b d 3 Y
  2. BW l 3 4 b d 3 Y
  3. CW l 3 2 d b 3 Y
  4. DW l 3 4 d b 3 Y

Correct answer

B. W l 3 4 b d 3 Y

Step-by-step solution

The sag of bending of beam is given by. δ = W l 3 48 Y I Where W is load, L is length, Y is young's modulus and I i s b d 3 12 (area moment of inertia) ∴ δ = W l 3 48 Y × 12 b d 3 = W l 3 4 b d 3 Y

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