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As per IS 456 : 2000, using working stress method, the modular ratio of M25 grade of concrete for permissible compressive strength due to bending in concrete σcbc = 8.5 MPa is:
  • a)
    15.63
  • b)
    10.98
  • c)
    12.04
  • d)
    14.39
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
As per IS 456 : 2000, using working stress method, the modular ratio o...
However, I can explain the concept of modular ratio and its formula.

Modular ratio is the ratio of the modulus of elasticity of steel to that of concrete. It is denoted by the symbol "m".

The formula for modular ratio (m) is:

m = Es / Ec

where, Es = modulus of elasticity of steel
Ec = modulus of elasticity of concrete

As per IS 456: 2000, the value of modulus of elasticity of steel (Es) is taken as 2 x 10^5 N/mm^2, and the value of modulus of elasticity of concrete (Ec) is taken as 5000 √fck N/mm^2, where fck is the characteristic compressive strength of concrete at 28 days.

For M25 grade of concrete, the characteristic compressive strength of concrete at 28 days is 25 N/mm^2.

So, the value of modulus of elasticity of concrete (Ec) for M25 grade of concrete is:

Ec = 5000 √fck
= 5000 √25
= 5000 x 5
= 25,000 N/mm^2

Therefore, the modular ratio (m) for M25 grade of concrete is:

m = Es / Ec
= 2 x 10^5 / 25,000
= 8

Hence, the modular ratio of M25 grade of concrete for permissible compressive strength due to bending in concrete is 8.
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Community Answer
As per IS 456 : 2000, using working stress method, the modular ratio o...
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’.
Modular ratio: It is the ratio of modulus of elasticity of steel and concrete.
m = Es/Ec
However, concrete has varying moduli, as it is not a perfectly elastic material.
Therefore, its short-term modulus  is not considered and long-term modulus of elasticity is considered to take in account the effect of creep and shrinkage.
∴ The modular ratio is taken as  where σcbc is permissible compressive stress in concrete in bending.
Calculation:
Modular ratio ‘m’ (considering creep effect),
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As per IS 456 : 2000, using working stress method, the modular ratio of M25 grade of concrete for permissible compressive strength due to bending in concrete σcbc = 8.5 MPa is:a)15.63b)10.98c)12.04d)14.39Correct answer is option 'B'. Can you explain this answer?
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As per IS 456 : 2000, using working stress method, the modular ratio of M25 grade of concrete for permissible compressive strength due to bending in concrete σcbc = 8.5 MPa is:a)15.63b)10.98c)12.04d)14.39Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about As per IS 456 : 2000, using working stress method, the modular ratio of M25 grade of concrete for permissible compressive strength due to bending in concrete σcbc = 8.5 MPa is:a)15.63b)10.98c)12.04d)14.39Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for As per IS 456 : 2000, using working stress method, the modular ratio of M25 grade of concrete for permissible compressive strength due to bending in concrete σcbc = 8.5 MPa is:a)15.63b)10.98c)12.04d)14.39Correct answer is option 'B'. Can you explain this answer?.
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