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 Determine the diameter of the bolts used in rigid flange coupling if transmitted torque is 270N-m, pitch circle diameter=125mm and four bolts are emplace in the coupling. Permissible shear stress in the bolts is 70N/mm².
  • a)
    3.8mm
  • b)
    3.6mm
  • c)
    4.4mm
  • d)
    4mm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Determine the diameter of the bolts used in rigid flange coupling if t...
Explanation: d²=8M/πDNτ.
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Determine the diameter of the bolts used in rigid flange coupling if t...
To determine the diameter of the bolts in the rigid flange coupling, we need to calculate the shear stress in the bolts based on the transmitted torque.

Step 1: Convert the torque to N-mm:
270 N-m = 270,000 N-mm

Step 2: Calculate the total force acting on each bolt:
Total force = Torque / (Pitch circle diameter / 2)
Total force = 270,000 N-mm / (125 mm / 2)
Total force = 270,000 N-mm / 62.5 mm
Total force = 4320 N

Step 3: Calculate the area of each bolt required to withstand the shear stress:
Area = Force / Permissible shear stress
Area = 4320 N / 70 N/mm
Area = 61.71 mm²

Step 4: Calculate the diameter of each bolt:
Area = π * (diameter / 2)²
61.71 mm² = 3.1416 * (diameter / 2)²
diameter / 2 = √(61.71 mm² / 3.1416)
diameter / 2 = 4.96 mm
diameter = 9.92 mm

Therefore, the diameter of the bolts used in the rigid flange coupling is approximately 9.92 mm.
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Determine the diameter of the bolts used in rigid flange coupling if transmitted torque is 270N-m, pitch circle diameter=125mm and four bolts are emplace in the coupling. Permissible shear stress in the bolts is 70N/mm².a)3.8mmb)3.6mmc)4.4mmd)4mmCorrect answer is option 'C'. Can you explain this answer?
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Determine the diameter of the bolts used in rigid flange coupling if transmitted torque is 270N-m, pitch circle diameter=125mm and four bolts are emplace in the coupling. Permissible shear stress in the bolts is 70N/mm².a)3.8mmb)3.6mmc)4.4mmd)4mmCorrect answer is option 'C'. 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 Determine the diameter of the bolts used in rigid flange coupling if transmitted torque is 270N-m, pitch circle diameter=125mm and four bolts are emplace in the coupling. Permissible shear stress in the bolts is 70N/mm².a)3.8mmb)3.6mmc)4.4mmd)4mmCorrect answer is option 'C'. 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 Determine the diameter of the bolts used in rigid flange coupling if transmitted torque is 270N-m, pitch circle diameter=125mm and four bolts are emplace in the coupling. Permissible shear stress in the bolts is 70N/mm².a)3.8mmb)3.6mmc)4.4mmd)4mmCorrect answer is option 'C'. Can you explain this answer?.
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