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Calculate the diameter of the rivets by crushing consideration if permissible compression stress in rivets is 120N/mm², thickness of plate 3mm and P=15kN.
- a)10.4mm
- b)11.5mm
- c)9.2mm
- d)8.6mm
Correct answer is option 'A'. Can you explain this answer?
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Calculate the diameter of the rivets by crushing consideration if perm...
Explanation: P=4x[d t σ].
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Introduction
To calculate the diameter of rivets based on crushing considerations, we will use the given values: permissible compression stress, thickness of the plate, and the load applied.
Given Data
- Permissible compression stress (σ) = 120 N/mm²
- Thickness of plate (t) = 3 mm
- Load (P) = 15 kN = 15,000 N
Calculating the Required Area
The area required to support the load can be calculated using the formula:
Area (A) = Load (P) / Permissible stress (σ)
- A = 15,000 N / 120 N/mm²
- A = 125 mm²
Finding the Diameter of the Rivet
The area of a rivet is given by the formula:
A = (π/4) * d²
Where d is the diameter of the rivet.
Rearranging the formula to find the diameter:
d = √(4A/π)
Substituting the area calculated:
- d = √(4 * 125 mm² / π)
- d = √(500 / π)
- d ≈ 10.4 mm
Conclusion
Thus, the diameter of the rivets, considering crushing, should be approximately 10.4 mm. Therefore, the correct answer is option 'A'.
This calculation ensures that the rivets can safely bear the applied load without exceeding the permissible compression stress.
To calculate the diameter of rivets based on crushing considerations, we will use the given values: permissible compression stress, thickness of the plate, and the load applied.
Given Data
- Permissible compression stress (σ) = 120 N/mm²
- Thickness of plate (t) = 3 mm
- Load (P) = 15 kN = 15,000 N
Calculating the Required Area
The area required to support the load can be calculated using the formula:
Area (A) = Load (P) / Permissible stress (σ)
- A = 15,000 N / 120 N/mm²
- A = 125 mm²
Finding the Diameter of the Rivet
The area of a rivet is given by the formula:
A = (π/4) * d²
Where d is the diameter of the rivet.
Rearranging the formula to find the diameter:
d = √(4A/π)
Substituting the area calculated:
- d = √(4 * 125 mm² / π)
- d = √(500 / π)
- d ≈ 10.4 mm
Conclusion
Thus, the diameter of the rivets, considering crushing, should be approximately 10.4 mm. Therefore, the correct answer is option 'A'.
This calculation ensures that the rivets can safely bear the applied load without exceeding the permissible compression stress.
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Calculate the diameter of the rivets by crushing consideration if permissible compression stress in rivets is 120N/mm², thickness of plate 3mm and P=15kN.a)10.4mmb)11.5mmc)9.2mmd)8.6mmCorrect answer is option 'A'. Can you explain this answer?
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Calculate the diameter of the rivets by crushing consideration if permissible compression stress in rivets is 120N/mm², thickness of plate 3mm and P=15kN.a)10.4mmb)11.5mmc)9.2mmd)8.6mmCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Calculate the diameter of the rivets by crushing consideration if permissible compression stress in rivets is 120N/mm², thickness of plate 3mm and P=15kN.a)10.4mmb)11.5mmc)9.2mmd)8.6mmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the diameter of the rivets by crushing consideration if permissible compression stress in rivets is 120N/mm², thickness of plate 3mm and P=15kN.a)10.4mmb)11.5mmc)9.2mmd)8.6mmCorrect answer is option 'A'. Can you explain this answer?.
Calculate the diameter of the rivets by crushing consideration if permissible compression stress in rivets is 120N/mm², thickness of plate 3mm and P=15kN.a)10.4mmb)11.5mmc)9.2mmd)8.6mmCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Calculate the diameter of the rivets by crushing consideration if permissible compression stress in rivets is 120N/mm², thickness of plate 3mm and P=15kN.a)10.4mmb)11.5mmc)9.2mmd)8.6mmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the diameter of the rivets by crushing consideration if permissible compression stress in rivets is 120N/mm², thickness of plate 3mm and P=15kN.a)10.4mmb)11.5mmc)9.2mmd)8.6mmCorrect answer is option 'A'. Can you explain this answer?.
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