Assuming the stress block diagram of the rectangular concrete beam section as per IS 456 - 2000, the depth of the centre of compressive force measured from the neutral axis is given by: (Assuming Xu as the depth of neutral axis from top compression fiber)

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  1. 0.58 Xu
  2. 0.67 Xu
  3. 0.42 Xu
  4. 0.36 Xu

Answer (Detailed Solution Below)

Option 1 : 0.58 Xu
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Explanation:

Stress and Strain Diagram of a Singly Reinforced Beam in Limit State Method:

F1 Abhayaraj 25.2.21 Pallavi D1

Where Xu = Actual depth of neutral axis

fck = Characteristic compressive strength of concrete

fy = Yield stress of steel

Design compressive strength of concrete = 0.45 fck

Maximum compressive force resisted by concrete, C = 0.36 fck.b.xu

The centroid of the compressive force is at a distance of 0.42Xu from the extreme compression fiber.

So the distance of CG from the neutral axis = xu – 0.42xu = 0.58 xu 

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