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Determine the width of the cotter used in cotter joint connecting two rods subjected to axial load of 50kN and permissible shear stress in cotter is 50N/(mm² ). Given thickness of cotter=10mm
  • a)
    5omm
  • b)
    100mm
  • c)
    150mm
  • d)
    25mm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Determine the width of the cotter used in cotter joint connecting two ...
Explanation: Cotter is subjected to double shear hence width=P/(2*τ*t).
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Determine the width of the cotter used in cotter joint connecting two ...
To determine the width of the cotter used in the cotter joint, we can use the formula for shear stress:

Shear stress = Force / Area

Given:
Axial load = 50 kN = 50,000 N
Permissible shear stress = 50 N/mm

We need to convert the axial load to force per unit length (mm) to match the units of shear stress.

Force per unit length = Axial load / Length

Since the length of the cotter is not given, we cannot directly calculate the force per unit length. However, we can assume a length for the cotter and calculate the force per unit length based on that assumption.

Let's assume a length of 100 mm for the cotter.

Force per unit length = 50,000 N / 100 mm = 500 N/mm

Now, we can use the shear stress formula to find the area of the cotter:

Shear stress = Force / Area

50 N/mm = 500 N/mm / Area

Area = 500 N/mm / 50 N/mm = 10 mm^2

The width of the cotter is equal to the width of the rod it connects. Therefore, the width of the cotter should be designed to have an area of 10 mm^2.
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Determine the width of the cotter used in cotter joint connecting two rods subjected to axial load of 50kN and permissible shear stress in cotter is 50N/(mm² ). Given thickness of cotter=10mma)5ommb)100mmc)150mmd)25mmCorrect answer is option 'A'. Can you explain this answer?
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Determine the width of the cotter used in cotter joint connecting two rods subjected to axial load of 50kN and permissible shear stress in cotter is 50N/(mm² ). Given thickness of cotter=10mma)5ommb)100mmc)150mmd)25mmCorrect 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 Determine the width of the cotter used in cotter joint connecting two rods subjected to axial load of 50kN and permissible shear stress in cotter is 50N/(mm² ). Given thickness of cotter=10mma)5ommb)100mmc)150mmd)25mmCorrect 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 Determine the width of the cotter used in cotter joint connecting two rods subjected to axial load of 50kN and permissible shear stress in cotter is 50N/(mm² ). Given thickness of cotter=10mma)5ommb)100mmc)150mmd)25mmCorrect answer is option 'A'. Can you explain this answer?.
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