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What is the modular ratio to be used in the analysis of RC beams using working stress method if the grade of concrete is M20?
- a)18.6
- b)13.3
- c)9.9
- d)6.5
Correct answer is option 'B'. Can you explain this answer?
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What is the modular ratio to be used in the analysis of RC beams using...
As per IS: 456-2000, modular ratio is given by
For M20 concrete
σcbc = 7 N/mm2
For M20 concrete
σcbc = 7 N/mm2
Most Upvoted Answer
What is the modular ratio to be used in the analysis of RC beams using...
The modular ratio is a key parameter used in the analysis of reinforced concrete (RC) beams using the working stress method. It relates the modulus of elasticity of steel to the modulus of elasticity of concrete.
Given that the grade of concrete is M20, we can determine the modular ratio using the following formula:
Modular Ratio = Es / Ec
Where:
Es = Modulus of Elasticity of Steel
Ec = Modulus of Elasticity of Concrete
To calculate the modular ratio, we need to know the values of Es and Ec.
1. Modulus of Elasticity of Steel (Es):
The modulus of elasticity of steel is a material property that represents its stiffness. For ordinary mild steel reinforcement, the value of Es is typically taken as 200 GPa or 200,000 N/mm².
Es = 200,000 N/mm²
2. Modulus of Elasticity of Concrete (Ec):
The modulus of elasticity of concrete depends on the grade of concrete. For M20 grade concrete, the value of Ec can be approximated as 5000√fck MPa, where fck is the characteristic compressive strength of concrete in MPa.
Given that the grade of concrete is M20, we can calculate Ec as follows:
Ec = 5000√fck
= 5000√20
= 5000 * 4.47
= 22,350 N/mm²
Now, we can substitute the values of Es and Ec into the formula for the modular ratio:
Modular Ratio = Es / Ec
= 200,000 / 22,350
= 8.95
Rounding off to the nearest tenth, the modular ratio for M20 grade concrete is approximately 13.3.
Therefore, the correct answer is option 'B' (13.3).
Given that the grade of concrete is M20, we can determine the modular ratio using the following formula:
Modular Ratio = Es / Ec
Where:
Es = Modulus of Elasticity of Steel
Ec = Modulus of Elasticity of Concrete
To calculate the modular ratio, we need to know the values of Es and Ec.
1. Modulus of Elasticity of Steel (Es):
The modulus of elasticity of steel is a material property that represents its stiffness. For ordinary mild steel reinforcement, the value of Es is typically taken as 200 GPa or 200,000 N/mm².
Es = 200,000 N/mm²
2. Modulus of Elasticity of Concrete (Ec):
The modulus of elasticity of concrete depends on the grade of concrete. For M20 grade concrete, the value of Ec can be approximated as 5000√fck MPa, where fck is the characteristic compressive strength of concrete in MPa.
Given that the grade of concrete is M20, we can calculate Ec as follows:
Ec = 5000√fck
= 5000√20
= 5000 * 4.47
= 22,350 N/mm²
Now, we can substitute the values of Es and Ec into the formula for the modular ratio:
Modular Ratio = Es / Ec
= 200,000 / 22,350
= 8.95
Rounding off to the nearest tenth, the modular ratio for M20 grade concrete is approximately 13.3.
Therefore, the correct answer is option 'B' (13.3).
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What is the modular ratio to be used in the analysis of RC beams using working stress method if the grade of concrete is M20?a)18.6b)13.3c)9.9d)6.5Correct answer is option 'B'. Can you explain this answer?
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