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A load of 300kN is applied on a short concrete column 250 mm x 250 mm. The column is reinforced by steel bars of total area 5600mm2. If the modulus of elasticity for steel is 15 times that of concrete, find the stress in concrete and steel. If the stress in concrete shall not exceed 4N/mm2, find the area of steel required so that the column may support a load of 600kN.​?
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A load of 300kN is applied on a short concrete column 250 mm x 250 mm....
Given Data:

Load applied on the column, P = 300kN

Dimensions of column, b = 250mm and h = 250mm

Total area of steel reinforcement, As = 5600mm2

Modulus of elasticity of steel, Es = 15Ec

Maximum permissible stress in concrete, σc = 4N/mm2

Load to be supported, P' = 600kN


Stress in Concrete and Steel:

Given that the column is short, the load is carried by both concrete and steel. Let σc be the stress in concrete and σs be the stress in steel.

Total area of cross-section of column, A = b x h = 250 x 250 = 62500mm2

From equilibrium, P = σc x Ac + σs x As

Where, Ac = A - As (area of concrete)

Therefore, σc = (P - σs x As) / Ac

Also, Es = 15Ec

Therefore, σs = σc x Es / Ec

Substituting the values, σc = 1.68N/mm2 and σs = 25.2N/mm2


Area of Steel Required:

To find the area of steel required to support a load of 600kN, let σc' be the stress in concrete.

From equilibrium, P' = σc' x Ac + σs x As

Also, σs = σc' x Es / Ec

Substituting the values, σc' = 2.52N/mm2

Let As' be the area of steel required.

Therefore, As' = (P' - σc' x Ac) / σs

Substituting the values, As' = 14000mm2

Therefore, additional steel of area 14000 - 5600 = 8400mm2 is required.

Thus, the total area of steel required to support a load of 600kN is 14000mm2.
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A load of 300kN is applied on a short concrete column 250 mm x 250 mm. The column is reinforced by steel bars of total area 5600mm2. If the modulus of elasticity for steel is 15 times that of concrete, find the stress in concrete and steel. If the stress in concrete shall not exceed 4N/mm2, find the area of steel required so that the column may support a load of 600kN.​?
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A load of 300kN is applied on a short concrete column 250 mm x 250 mm. The column is reinforced by steel bars of total area 5600mm2. If the modulus of elasticity for steel is 15 times that of concrete, find the stress in concrete and steel. If the stress in concrete shall not exceed 4N/mm2, find the area of steel required so that the column may support a load of 600kN.​? 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 A load of 300kN is applied on a short concrete column 250 mm x 250 mm. The column is reinforced by steel bars of total area 5600mm2. If the modulus of elasticity for steel is 15 times that of concrete, find the stress in concrete and steel. If the stress in concrete shall not exceed 4N/mm2, find the area of steel required so that the column may support a load of 600kN.​? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A load of 300kN is applied on a short concrete column 250 mm x 250 mm. The column is reinforced by steel bars of total area 5600mm2. If the modulus of elasticity for steel is 15 times that of concrete, find the stress in concrete and steel. If the stress in concrete shall not exceed 4N/mm2, find the area of steel required so that the column may support a load of 600kN.​?.
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