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A short column 20 cm x 20 cm in section is reinforced with 4 bars whose area of cross section is 20 sq.cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2 and 300 kg/cm2, the safe load on the column should not exceed ________.
- a)412 kg
- b)4120 kg
- c)412000 kg
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A short column 20 cm x 20 cm in section is reinforced with 4 bars whos...
The load carrying capacity will be,
W = Stress in concrete x area of concrete + stress in steel x area of steel
W = 40 x (20 x 20 - 20) + 300 x (20)
= 21200 Kg
So none of these are correct.
Most Upvoted Answer
A short column 20 cm x 20 cm in section is reinforced with 4 bars whos...
Given data:
Cross-sectional area of the column = 20 cm x 20 cm = 400 sq.cm
Area of cross-section of each bar = 20 sq.cm
Permissible compressive stress in concrete = 40 kg/cm2
Permissible compressive stress in steel = 300 kg/cm2
To calculate the safe load on the column, we need to find out the load-carrying capacity of both concrete and steel.
Load-carrying capacity of concrete:
The load-carrying capacity of the column depends on the cross-sectional area and the permissible compressive stress in concrete. The formula to calculate the load-carrying capacity of concrete is:
Load-carrying capacity of concrete = Cross-sectional area x Permissible compressive stress
Substituting the given values, we get:
Load-carrying capacity of concrete = 400 sq.cm x 40 kg/cm2 = 16000 kg
Load-carrying capacity of steel:
The load-carrying capacity of the column also depends on the number of bars and the permissible compressive stress in steel. The formula to calculate the load-carrying capacity of steel is:
Load-carrying capacity of steel = Number of bars x Area of each bar x Permissible compressive stress
Substituting the given values, we get:
Load-carrying capacity of steel = 4 x 20 sq.cm x 300 kg/cm2 = 24000 kg
Safe load on the column:
The safe load on the column is the minimum of the load-carrying capacity of concrete and steel. Therefore, the safe load on the column is:
Safe load on the column = Minimum (Load-carrying capacity of concrete, Load-carrying capacity of steel)
Safe load on the column = Minimum (16000 kg, 24000 kg)
Safe load on the column = 16000 kg
Therefore, the safe load on the column should not exceed 16000 kg.
Hence, option D is the correct answer.
Cross-sectional area of the column = 20 cm x 20 cm = 400 sq.cm
Area of cross-section of each bar = 20 sq.cm
Permissible compressive stress in concrete = 40 kg/cm2
Permissible compressive stress in steel = 300 kg/cm2
To calculate the safe load on the column, we need to find out the load-carrying capacity of both concrete and steel.
Load-carrying capacity of concrete:
The load-carrying capacity of the column depends on the cross-sectional area and the permissible compressive stress in concrete. The formula to calculate the load-carrying capacity of concrete is:
Load-carrying capacity of concrete = Cross-sectional area x Permissible compressive stress
Substituting the given values, we get:
Load-carrying capacity of concrete = 400 sq.cm x 40 kg/cm2 = 16000 kg
Load-carrying capacity of steel:
The load-carrying capacity of the column also depends on the number of bars and the permissible compressive stress in steel. The formula to calculate the load-carrying capacity of steel is:
Load-carrying capacity of steel = Number of bars x Area of each bar x Permissible compressive stress
Substituting the given values, we get:
Load-carrying capacity of steel = 4 x 20 sq.cm x 300 kg/cm2 = 24000 kg
Safe load on the column:
The safe load on the column is the minimum of the load-carrying capacity of concrete and steel. Therefore, the safe load on the column is:
Safe load on the column = Minimum (Load-carrying capacity of concrete, Load-carrying capacity of steel)
Safe load on the column = Minimum (16000 kg, 24000 kg)
Safe load on the column = 16000 kg
Therefore, the safe load on the column should not exceed 16000 kg.
Hence, option D is the correct answer.
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A short column 20 cm x 20 cm in section is reinforced with 4 bars whose area of cross section is 20 sq.cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2and 300 kg/cm2, the safe load on the column should not exceed ________.a)412 kgb)4120 kgc)412000 kgd)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A short column 20 cm x 20 cm in section is reinforced with 4 bars whose area of cross section is 20 sq.cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2and 300 kg/cm2, the safe load on the column should not exceed ________.a)412 kgb)4120 kgc)412000 kgd)None of theseCorrect answer is option 'D'. Can you explain this answer? 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 short column 20 cm x 20 cm in section is reinforced with 4 bars whose area of cross section is 20 sq.cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2and 300 kg/cm2, the safe load on the column should not exceed ________.a)412 kgb)4120 kgc)412000 kgd)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A short column 20 cm x 20 cm in section is reinforced with 4 bars whose area of cross section is 20 sq.cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2and 300 kg/cm2, the safe load on the column should not exceed ________.a)412 kgb)4120 kgc)412000 kgd)None of theseCorrect answer is option 'D'. Can you explain this answer?.
A short column 20 cm x 20 cm in section is reinforced with 4 bars whose area of cross section is 20 sq.cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2and 300 kg/cm2, the safe load on the column should not exceed ________.a)412 kgb)4120 kgc)412000 kgd)None of theseCorrect answer is option 'D'. Can you explain this answer? 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 short column 20 cm x 20 cm in section is reinforced with 4 bars whose area of cross section is 20 sq.cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2and 300 kg/cm2, the safe load on the column should not exceed ________.a)412 kgb)4120 kgc)412000 kgd)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A short column 20 cm x 20 cm in section is reinforced with 4 bars whose area of cross section is 20 sq.cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2and 300 kg/cm2, the safe load on the column should not exceed ________.a)412 kgb)4120 kgc)412000 kgd)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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