Which one of the following statements about the percentage of tensile ...
For a balanced section,
0.36 f
ck.b.x = 0.87 f
y A
st⇒
As f
y increases A
st decreases.
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Which one of the following statements about the percentage of tensile ...
The correct answer is option 'A', which states that the required percentage of steel reduces as the yield strength of steel increases.
To understand why this statement is correct, we need to have a basic understanding of reinforced concrete and the role of steel reinforcement.
Reinforced concrete is a composite material that consists of concrete and embedded steel reinforcement. The primary purpose of steel reinforcement in reinforced concrete is to provide additional strength and ductility to the structure, especially in tension.
In a balanced reinforced concrete section, the concrete and steel reinforcement reach their respective limits at the same time, resulting in a balanced failure mode. This means that both the concrete and the steel reinforcement reach their maximum stress capacities simultaneously.
Now let's discuss the factors that influence the required percentage of steel reinforcement in a balanced reinforced concrete section:
1. Strength of Concrete: The strength of concrete is an important factor in determining the required percentage of steel reinforcement. As the strength of concrete increases, it can carry a larger portion of the applied load, reducing the amount of steel reinforcement required.
2. Strength of Steel: The yield strength of steel is the point at which it begins to deform permanently under loading. Higher yield strength steel can carry more load before reaching its maximum stress capacity. Therefore, as the yield strength of steel increases, the required percentage of steel reinforcement decreases.
3. Stress-strain Relationship: The stress-strain relationship of both concrete and steel influences the required percentage of steel reinforcement. The modulus of elasticity of steel is higher than that of concrete, which means that steel can carry higher stresses. This allows for a reduction in the required percentage of steel reinforcement.
4. Design Method: The design method used, such as the working stress method or the ultimate load method, can affect the required percentage of steel reinforcement to some extent. However, the difference in the required percentage of steel is not significant and can be neglected for practical purposes.
In summary, the required percentage of tensile steel to produce a balanced reinforced concrete section reduces as the yield strength of steel increases. This is because higher yield strength steel can carry more load, reducing the amount of steel reinforcement required.
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