For M25 concrete with creep coefficient of 1.5, the long-term static ...
Explanation:
M25 Concrete:
M25 concrete is a mix design of concrete where the "M" stands for Mix and the number 25 represents the characteristic compressive strength of the concrete after 28 days of curing. Thus, M25 concrete has a characteristic strength of 25 MPa (MegaPascals) after 28 days.
Creep Coefficient:
Creep is the phenomenon of deformation that occurs with time under a sustained load. The creep coefficient is a parameter that represents the ratio of long-term deformation to immediate deformation. In this case, the creep coefficient is given as 1.5.
Static Modulus of Elasticity:
The static modulus of elasticity is a measure of the stiffness or rigidity of the concrete. It represents the relationship between stress and strain in the elastic range. The higher the modulus of elasticity, the stiffer the concrete is.
Provisions of IS:456-2000:
IS:456-2000 is the Indian Standard Code of Practice for Plain and Reinforced Concrete. It provides guidelines and specifications for the design and construction of concrete structures.
According to IS:456-2000, the long-term static modulus of elasticity (Em) for M25 concrete with a creep coefficient of 1.5 is given by the formula:
Em = 5000 √(fck) / (1 + 1.5)
Where:
- Em is the long-term static modulus of elasticity
- fck is the characteristic compressive strength of concrete at 28 days
Calculation:
For M25 concrete, the characteristic compressive strength (fck) is 25 MPa.
Using the formula, we can calculate the long-term static modulus of elasticity (Em):
Em = 5000 √(25) / (1 + 1.5)
Em = 5000 √(25) / 2.5
Em = 5000 * 5 / 2.5
Em = 10000 MPa
Rounding off to the nearest integer, the long-term static modulus of elasticity for M25 concrete with a creep coefficient of 1.5 is 10000 MPa.
Therefore, the correct answer is 10000.