Equivalent area of a reinforced cement concrete section is -a)(mAcAsc...
The correct answer for the equivalent area of a reinforced cement concrete section is option 'B' (AcmAsc). In order to understand why this is the correct answer, let's break down the components of the reinforced cement concrete (RCC) section and the concept of equivalent area.
1. Reinforced cement concrete (RCC) section:
- RCC is a composite material made up of concrete and reinforcement bars (usually steel bars).
- The concrete provides compressive strength, while the reinforcement bars provide tensile strength to resist bending and cracking.
- The RCC section consists of a concrete component (Ac) and a steel reinforcement component (As).
2. Equivalent area:
- The concept of equivalent area is used to simplify the analysis and design of RCC sections.
- It is a hypothetical area that represents the combined effect of the concrete and steel reinforcement in resisting internal forces such as bending and shear.
- The equivalent area is used in calculations to determine the strength and behavior of the RCC section.
3. Calculation of equivalent area:
- The equivalent area is calculated by multiplying the area of the concrete component (Ac) by the modular ratio (m) and adding the area of the steel reinforcement component (As):
Equivalent area = (m * Ac) + As
4. Explanation of the correct answer:
- Option 'B' (AcmAsc) is the correct answer because it follows the correct equation for calculating the equivalent area.
- The modular ratio (m) represents the ratio of the modulus of elasticity of steel to the modulus of elasticity of concrete.
- By multiplying the area of the concrete component (Ac) by the modular ratio (m), we account for the contribution of the concrete in resisting internal forces.
- Adding the area of the steel reinforcement component (As) accounts for the additional strength provided by the steel bars.
- Therefore, the equation (AcmAsc) correctly represents the equivalent area of a reinforced cement concrete section.
In conclusion, the correct answer for the equivalent area of a reinforced cement concrete section is option 'B' (AcmAsc), as it follows the correct equation for calculating the equivalent area by considering the contribution of both the concrete and steel reinforcement components.
Equivalent area of a reinforced cement concrete section is -a)(mAcAsc...
Equivalent area of a reinforced cement concrete section is -(AcmAsc)