If permissible compressive stress in concrete in-bending for M20 grade of concrete is 7 N/mm2, then modular ratio will be : 

This question was previously asked in
UKPSC JE Civil 8 May 2022 Official Paper-I
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  1. 18.66
  2. 13.33
  3. 10.98
  4. 9.33

Answer (Detailed Solution Below)

Option 2 : 13.33
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Detailed Solution

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Concept:

Modular ratio (m):

The value of modular ratio m is given below;

\(m={E_s\over E_c}={280\over 3σ_{cbc}}\)

Where σcbc = permissible compressive stress due to bending in concrete N/mm2, Es = modulus of elasticity of steel, and Ec = modulus of elasticity of concrete. 

Calculation:

Given

Grade of concrete is M20

Permissible compressive stress (σcbc) = 7 N/mm2

Modular ratio (m) = \({280\over 3\sigma_{cbc}}={280\over 3\times 7}=13.33\)

Modular ratio (m) is 13.33. Hence option (2) is the correct answer.

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