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The maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45
and safe allowable stress of foundation material 4.16 MPa without considering uplift force is about
and safe allowable stress of foundation material 4.16 MPa without considering uplift force is about
Correct answer is between '122,123'. Can you explain this answer?
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The maximum height of a low gravity dam of elementary profile made of ...
**Problem statement**
Find the maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45 and safe allowable stress of foundation material 4.16 MPa without considering uplift force.
**Assumptions**
- The dam is of elementary profile.
- The uplift force is not considered.
- The safe allowable stress of foundation material is 4.16 MPa.
- The relative density of concrete is 2.45.
**Calculations**
The maximum height of a low gravity dam without considering uplift force can be calculated using the following formula:
Hmax = (2σ/ρg) - (1/3)B
where,
Hmax = maximum height of the dam
σ = safe allowable stress of foundation material = 4.16 MPa
ρ = relative density of concrete = 2.45
g = acceleration due to gravity = 9.81 m/s²
B = base width of the dam
The base width of the dam for elementary profile is given by:
B = 2/3 Hmax
Substituting the value of B in the first equation, we get:
Hmax = (3σ/ρg) - (1/2)Hmax
Simplifying the equation, we get:
Hmax = (2/3) (3σ/ρg)
Hmax = 2σ/ρg
Substituting the given values, we get:
Hmax = 2(4.16×10⁶)/(2.45×9.81)
Hmax ≈ 122.3 m
Therefore, the maximum height of the low gravity dam of elementary profile made of concrete of relative density 2.45 and safe allowable stress of foundation material 4.16 MPa without considering uplift force is about 122.3 meters.
Find the maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45 and safe allowable stress of foundation material 4.16 MPa without considering uplift force.
**Assumptions**
- The dam is of elementary profile.
- The uplift force is not considered.
- The safe allowable stress of foundation material is 4.16 MPa.
- The relative density of concrete is 2.45.
**Calculations**
The maximum height of a low gravity dam without considering uplift force can be calculated using the following formula:
Hmax = (2σ/ρg) - (1/3)B
where,
Hmax = maximum height of the dam
σ = safe allowable stress of foundation material = 4.16 MPa
ρ = relative density of concrete = 2.45
g = acceleration due to gravity = 9.81 m/s²
B = base width of the dam
The base width of the dam for elementary profile is given by:
B = 2/3 Hmax
Substituting the value of B in the first equation, we get:
Hmax = (3σ/ρg) - (1/2)Hmax
Simplifying the equation, we get:
Hmax = (2/3) (3σ/ρg)
Hmax = 2σ/ρg
Substituting the given values, we get:
Hmax = 2(4.16×10⁶)/(2.45×9.81)
Hmax ≈ 122.3 m
Therefore, the maximum height of the low gravity dam of elementary profile made of concrete of relative density 2.45 and safe allowable stress of foundation material 4.16 MPa without considering uplift force is about 122.3 meters.
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The maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45and safe allowable stress of foundation material 4.16 MPa without considering uplift force is aboutCorrect answer is between '122,123'. Can you explain this answer?
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The maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45and safe allowable stress of foundation material 4.16 MPa without considering uplift force is aboutCorrect answer is between '122,123'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45and safe allowable stress of foundation material 4.16 MPa without considering uplift force is aboutCorrect answer is between '122,123'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45and safe allowable stress of foundation material 4.16 MPa without considering uplift force is aboutCorrect answer is between '122,123'. Can you explain this answer?.
The maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45and safe allowable stress of foundation material 4.16 MPa without considering uplift force is aboutCorrect answer is between '122,123'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45and safe allowable stress of foundation material 4.16 MPa without considering uplift force is aboutCorrect answer is between '122,123'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum height of a low gravity dam of elementary profile made of concrete of relative density 2.45and safe allowable stress of foundation material 4.16 MPa without considering uplift force is aboutCorrect answer is between '122,123'. Can you explain this answer?.
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