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Determine the centre of pressure on an isosceles triangle plate of base 6m and altitude 6m when it is immersed vertically in an oil of specific gravity 0.75. The base of the plate coincides with the free surface of oil.
- a)6 m
- b)3 m
- c)9 m
- d)12 m
Correct answer is option 'B'. Can you explain this answer?
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Determine the centre of pressure on an isosceles triangle plate of bas...
Explanation: ŷ=I/Aĥ + ĥ
I=bh³/36
ŷ=36*2/18 + 2
=3 m.
I=bh³/36
ŷ=36*2/18 + 2
=3 m.
Most Upvoted Answer
Determine the centre of pressure on an isosceles triangle plate of bas...
Given data:
Base of the plate, b = 6 m
Altitude of the plate, h = 6 m
Specific gravity of oil, γ = 0.75
Centre of pressure: It is defined as the point where the resultant force of the fluid pressure acts on an immersed body.
The centre of pressure on the isosceles triangle plate can be determined by using the following steps:
Step 1: Determine the area of the plate
The area of the isosceles triangle plate can be calculated as:
A = (1/2)bh
A = (1/2)(6)(6)
A = 18 m²
Step 2: Determine the location of the centroid of the plate
The centroid of an isosceles triangle is located at a distance of (2/3)h from the base.
Therefore, the distance of the centroid from the base is:
x = (2/3)h
x = (2/3)(6)
x = 4 m
Step 3: Determine the depth of the plate in the oil
As the base of the plate coincides with the free surface of the oil, the depth of the plate in the oil is equal to the altitude of the plate, which is 6 m.
Step 4: Determine the pressure at the centroid of the plate
The pressure at the centroid of the plate can be calculated as:
P = γh
P = (0.75)(6)
P = 4.5 kN/m²
Step 5: Determine the moment of the pressure forces about the base of the plate
The moment of the pressure forces about the base of the plate can be calculated as:
M = PxA
M = (4.5)(4)
M = 18 kN-m
Step 6: Determine the location of the centre of pressure
The location of the centre of pressure can be determined by using the following formula:
xcp = (1/2)(h) + (M/PA)
xcp = (1/2)(6) + (18/4.5x18)
xcp = 3 m
Therefore, the centre of pressure on the isosceles triangle plate is located at a distance of 3 m from the base of the plate. Hence, the correct answer is option (B).
Base of the plate, b = 6 m
Altitude of the plate, h = 6 m
Specific gravity of oil, γ = 0.75
Centre of pressure: It is defined as the point where the resultant force of the fluid pressure acts on an immersed body.
The centre of pressure on the isosceles triangle plate can be determined by using the following steps:
Step 1: Determine the area of the plate
The area of the isosceles triangle plate can be calculated as:
A = (1/2)bh
A = (1/2)(6)(6)
A = 18 m²
Step 2: Determine the location of the centroid of the plate
The centroid of an isosceles triangle is located at a distance of (2/3)h from the base.
Therefore, the distance of the centroid from the base is:
x = (2/3)h
x = (2/3)(6)
x = 4 m
Step 3: Determine the depth of the plate in the oil
As the base of the plate coincides with the free surface of the oil, the depth of the plate in the oil is equal to the altitude of the plate, which is 6 m.
Step 4: Determine the pressure at the centroid of the plate
The pressure at the centroid of the plate can be calculated as:
P = γh
P = (0.75)(6)
P = 4.5 kN/m²
Step 5: Determine the moment of the pressure forces about the base of the plate
The moment of the pressure forces about the base of the plate can be calculated as:
M = PxA
M = (4.5)(4)
M = 18 kN-m
Step 6: Determine the location of the centre of pressure
The location of the centre of pressure can be determined by using the following formula:
xcp = (1/2)(h) + (M/PA)
xcp = (1/2)(6) + (18/4.5x18)
xcp = 3 m
Therefore, the centre of pressure on the isosceles triangle plate is located at a distance of 3 m from the base of the plate. Hence, the correct answer is option (B).
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Determine the centre of pressure on an isosceles triangle plate of base 6m and altitude 6m when it is immersed vertically in an oil of specific gravity 0.75. The base of the plate coincides with the free surface of oil.a)6 mb)3 mc)9 md)12 mCorrect answer is option 'B'. Can you explain this answer?
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Determine the centre of pressure on an isosceles triangle plate of base 6m and altitude 6m when it is immersed vertically in an oil of specific gravity 0.75. The base of the plate coincides with the free surface of oil.a)6 mb)3 mc)9 md)12 mCorrect answer is option 'B'. 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 Determine the centre of pressure on an isosceles triangle plate of base 6m and altitude 6m when it is immersed vertically in an oil of specific gravity 0.75. The base of the plate coincides with the free surface of oil.a)6 mb)3 mc)9 md)12 mCorrect answer is option 'B'. 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 Determine the centre of pressure on an isosceles triangle plate of base 6m and altitude 6m when it is immersed vertically in an oil of specific gravity 0.75. The base of the plate coincides with the free surface of oil.a)6 mb)3 mc)9 md)12 mCorrect answer is option 'B'. Can you explain this answer?.
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