What is modular ratio of concrete grade M30 when effect of creep is NOT considered?

This question was previously asked in
JKSSB JE CE 2021 Official Paper Shift 2 (Held on 27 Oct 2021)
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  1. 9.33
  2. 8.12
  3. 10
  4. 7.30

Answer (Detailed Solution Below)

Option 4 : 7.30
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ST 1: JKSSB JE - Surveying
20 Qs. 20 Marks 20 Mins

Detailed Solution

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Concept:

Modular ratio:

In the elastic theory for the reinforced concrete structure, concrete and reinforcing steel are converted into one material. This is done by using the modular ratio ‘m’.

It is the ratio of modulus of elasticity of steel and concrete.

However, concrete has varying moduli, as it is not a perfectly elastic material.

Short term modulus of elasticity:

The short-term modulus of elasticity is given by

  

Long term modulus of elasticity:

The long-term modulus of elasticity is considered to take into account the effect of creep and shrinkage.

The modular ratio is taken as

where σcbc is permissible compressive stress in concrete in bending.

Calculation:

Grade of concrete = M30

Modular ratio ‘m’ (without considering creep effect)

  = 7.30

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