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An rcc circular column has a diameter of 300mm and it is reinforced with 8steel bar the total area of steel bar is 2513.27mm^2.the column carry a load of 250KN.if the modulus of elasticity for steel is 18times that of the concrete find the stresses in concrete nd steel.?
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An rcc circular column has a diameter of 300mm and it is reinforced wi...
Stresses in RCC Circular Column
Stresses in Concrete
The stress in concrete can be calculated using the formula:
σc = (P/Ac) + (Es/ Ec) × (As/Ac) × σs
Where,
P = Load on the column = 250 kN
Ac = Area of the column = π/4 × d^2 = π/4 × 0.3^2 = 0.07069 m^2
Es = Modulus of elasticity of steel = 18 × Ec
As = Total area of steel bars = 2513.27 mm^2 = 0.00251327 m^2
σs = Stress in steel bars = (P/Ac) × (As/As) = 250/(π/4 × 0.3^2 × 8) = 295.77 N/mm^2
Ec = Modulus of elasticity of concrete = 28000 N/mm^2
Substituting the values in the formula, we get:
σc = (250/0.07069) + (18 × 28000/28000) × (0.00251327/0.07069) × 295.77
σc = 245.33 + 8.38 × 10^-3 × 295.77
σc = 247.74 N/mm^2
Therefore, the stress in concrete is 247.74 N/mm^2.
Stresses in Steel Bars
The stress in steel bars can be calculated using the formula:
σs = (P/Ac) × (As/As)
Substituting the values in the formula, we get:
σs = (250/0.07069) × (0.00251327/0.00251327)
σs = 295.77 N/mm^2
Therefore, the stress in steel bars is 295.77 N/mm^2.
Explanation
The stress in the concrete is calculated using the formula that takes into account the load on the column, the area of the column, the modulus of elasticity of steel and concrete, and the area of steel bars. The stress in steel bars is calculated using a simpler formula that only takes into account the load on the column and the area of steel bars. The stresses in concrete and steel bars are calculated separately because they have different properties and behave differently under stress. The modulus of elasticity of steel is higher than that of concrete, which means that steel can handle more stress before breaking.
Stresses in Concrete
The stress in concrete can be calculated using the formula:
σc = (P/Ac) + (Es/ Ec) × (As/Ac) × σs
Where,
P = Load on the column = 250 kN
Ac = Area of the column = π/4 × d^2 = π/4 × 0.3^2 = 0.07069 m^2
Es = Modulus of elasticity of steel = 18 × Ec
As = Total area of steel bars = 2513.27 mm^2 = 0.00251327 m^2
σs = Stress in steel bars = (P/Ac) × (As/As) = 250/(π/4 × 0.3^2 × 8) = 295.77 N/mm^2
Ec = Modulus of elasticity of concrete = 28000 N/mm^2
Substituting the values in the formula, we get:
σc = (250/0.07069) + (18 × 28000/28000) × (0.00251327/0.07069) × 295.77
σc = 245.33 + 8.38 × 10^-3 × 295.77
σc = 247.74 N/mm^2
Therefore, the stress in concrete is 247.74 N/mm^2.
Stresses in Steel Bars
The stress in steel bars can be calculated using the formula:
σs = (P/Ac) × (As/As)
Substituting the values in the formula, we get:
σs = (250/0.07069) × (0.00251327/0.00251327)
σs = 295.77 N/mm^2
Therefore, the stress in steel bars is 295.77 N/mm^2.
Explanation
The stress in the concrete is calculated using the formula that takes into account the load on the column, the area of the column, the modulus of elasticity of steel and concrete, and the area of steel bars. The stress in steel bars is calculated using a simpler formula that only takes into account the load on the column and the area of steel bars. The stresses in concrete and steel bars are calculated separately because they have different properties and behave differently under stress. The modulus of elasticity of steel is higher than that of concrete, which means that steel can handle more stress before breaking.
Community Answer
An rcc circular column has a diameter of 300mm and it is reinforced wi...
As we know Stress = load / area.
250kN / 2513.27 = 99.47 N / mmsquare
250kN / 2513.27 = 99.47 N / mmsquare
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An rcc circular column has a diameter of 300mm and it is reinforced with 8steel bar the total area of steel bar is 2513.27mm^2.the column carry a load of 250KN.if the modulus of elasticity for steel is 18times that of the concrete find the stresses in concrete nd steel.?
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An rcc circular column has a diameter of 300mm and it is reinforced with 8steel bar the total area of steel bar is 2513.27mm^2.the column carry a load of 250KN.if the modulus of elasticity for steel is 18times that of the concrete find the stresses in concrete nd steel.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about An rcc circular column has a diameter of 300mm and it is reinforced with 8steel bar the total area of steel bar is 2513.27mm^2.the column carry a load of 250KN.if the modulus of elasticity for steel is 18times that of the concrete find the stresses in concrete nd steel.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An rcc circular column has a diameter of 300mm and it is reinforced with 8steel bar the total area of steel bar is 2513.27mm^2.the column carry a load of 250KN.if the modulus of elasticity for steel is 18times that of the concrete find the stresses in concrete nd steel.?.
An rcc circular column has a diameter of 300mm and it is reinforced with 8steel bar the total area of steel bar is 2513.27mm^2.the column carry a load of 250KN.if the modulus of elasticity for steel is 18times that of the concrete find the stresses in concrete nd steel.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about An rcc circular column has a diameter of 300mm and it is reinforced with 8steel bar the total area of steel bar is 2513.27mm^2.the column carry a load of 250KN.if the modulus of elasticity for steel is 18times that of the concrete find the stresses in concrete nd steel.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An rcc circular column has a diameter of 300mm and it is reinforced with 8steel bar the total area of steel bar is 2513.27mm^2.the column carry a load of 250KN.if the modulus of elasticity for steel is 18times that of the concrete find the stresses in concrete nd steel.?.
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