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A water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)
Correct answer is between '7.5,7.6'. Can you explain this answer?
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A water tank is supported on 4 columns, which form a square of side 3m...
The arrangement of the column / footing will be as follows:
Total load = 400 ton.
load in each column, Q = 400/4 = 100 ton
∴ Stress at a depth of 3m under any column
Total load = 400 ton.
load in each column, Q = 400/4 = 100 ton
∴ Stress at a depth of 3m under any column
(Two column will be at a distance 3 m & one column will be at a distance 3√2m)
= 5.30+ 1.876+ 0.34
= 7.516 ton/m2
Most Upvoted Answer
A water tank is supported on 4 columns, which form a square of side 3m...
Given:
- The water tank is supported on 4 columns, forming a square of side 3m.
- The total load of the water tank is 400 ton.
- The load on each footing is assumed to be a point load.
To find:
The vertical stress induced at a depth of 3m under any one of the footings.
Solution:
Step 1: Calculate the load on each footing
The load on each footing can be calculated by dividing the total load of the water tank by the number of footings. Since there are 4 footings, the load on each footing is:
Load on each footing = Total load / Number of footings
= 400 ton / 4
= 100 ton
Step 2: Calculate the area of each footing
Since the footings form a square of side 3m, the area of each footing is:
Area of each footing = Side^2
= 3m^2
= 9m^2
Step 3: Calculate the vertical stress induced at a depth of 3m
The vertical stress at a depth of 3m can be calculated using the formula:
Vertical stress = Load / Area
Substituting the values:
Vertical stress = 100 ton / 9m^2
Converting ton to kg (1 ton = 1000 kg):
Vertical stress = 100,000 kg / 9m^2
Converting kg to t/m^2:
Vertical stress = 11,111.11 t / 9m^2
≈ 1,234.57 t / m^2
Therefore, the vertical stress induced at a depth of 3m under any one of the footings is approximately 1,234.57 t/m^2.
Conclusion:
The correct answer is between 7.5 and 7.6 t/m^2, which is not the same as the calculated value of 1,234.57 t/m^2. It is possible that there is an error in the given answer or in the calculation. Please double-check the calculations and review the answer to ensure accuracy.
- The water tank is supported on 4 columns, forming a square of side 3m.
- The total load of the water tank is 400 ton.
- The load on each footing is assumed to be a point load.
To find:
The vertical stress induced at a depth of 3m under any one of the footings.
Solution:
Step 1: Calculate the load on each footing
The load on each footing can be calculated by dividing the total load of the water tank by the number of footings. Since there are 4 footings, the load on each footing is:
Load on each footing = Total load / Number of footings
= 400 ton / 4
= 100 ton
Step 2: Calculate the area of each footing
Since the footings form a square of side 3m, the area of each footing is:
Area of each footing = Side^2
= 3m^2
= 9m^2
Step 3: Calculate the vertical stress induced at a depth of 3m
The vertical stress at a depth of 3m can be calculated using the formula:
Vertical stress = Load / Area
Substituting the values:
Vertical stress = 100 ton / 9m^2
Converting ton to kg (1 ton = 1000 kg):
Vertical stress = 100,000 kg / 9m^2
Converting kg to t/m^2:
Vertical stress = 11,111.11 t / 9m^2
≈ 1,234.57 t / m^2
Therefore, the vertical stress induced at a depth of 3m under any one of the footings is approximately 1,234.57 t/m^2.
Conclusion:
The correct answer is between 7.5 and 7.6 t/m^2, which is not the same as the calculated value of 1,234.57 t/m^2. It is possible that there is an error in the given answer or in the calculation. Please double-check the calculations and review the answer to ensure accuracy.
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A water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. Can you explain this answer?
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A water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. 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 water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. 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 water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. Can you explain this answer?.
A water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. 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 water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. 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 water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. Can you explain this answer?.
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A water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. Can you explain this answer?, a detailed solution for A water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. Can you explain this answer? has been provided alongside types of A water tank is supported on 4 columns, which form a square of side 3m. The total load of the water tank is 400 ton. Assuming the load on each footing as point load, find the vertical stress induced at a depth of 3m under any one of the footings? (In t/m2)Correct answer is between '7.5,7.6'. Can you explain this answer? theory, EduRev gives you an
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