The modulus of elasticity of concrete in N/mm2 can be assumed as follo...
Modulus of Elasticity of Concrete
The modulus of elasticity of concrete is a measure of its stiffness or ability to deform elastically under load. It is an important parameter in structural design as it affects the behavior of a concrete structure under different types of loading.
The modulus of elasticity of concrete can be assumed using the formula:
E = 5000 fck
where E is the modulus of elasticity of concrete in N/mm2 and fck is the characteristic cube compressive strength of concrete in N/mm2.
Explanation of the Correct Answer
The correct answer is option 'D', which states that the modulus of elasticity of concrete is given by E = 5000 fck. Let's understand why this is the correct answer.
The modulus of elasticity of concrete is influenced by various factors such as the type of aggregate used, water-cement ratio, curing conditions, and the compressive strength of concrete. The relationship between the modulus of elasticity and compressive strength of concrete is empirical and is given by various codes and standards.
According to the Indian standard code IS 456:2000, the modulus of elasticity can be estimated using the formula E = 5000√fck, where fck is the characteristic cube compressive strength of concrete in N/mm2. This formula is widely used in practice and provides a reasonable estimate of the modulus of elasticity for normal strength concrete.
The factor of 5000 in the formula represents the average ratio between the modulus of elasticity and the compressive strength of concrete. It takes into account the properties of typical concrete materials and their behavior under loading. The use of this factor provides a conservative estimate of the modulus of elasticity, ensuring the safety and reliability of the design.
Therefore, option 'D' which states that the modulus of elasticity of concrete is given by E = 5000 fck, is the correct answer based on the Indian standard code IS 456:2000.
Summary
- The modulus of elasticity of concrete is a measure of its stiffness or ability to deform elastically under load.
- The modulus of elasticity can be estimated using the formula E = 5000 fck, where fck is the characteristic cube compressive strength of concrete in N/mm2.
- This formula is based on the Indian standard code IS 456:2000 and provides a conservative estimate of the modulus of elasticity for normal strength concrete.
- Option 'D', which states that the modulus of elasticity of concrete is given by E = 5000 fck, is the correct answer.
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