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Calculate the diameter of pin from shear consideration with maximum shear stress allowed is 40NN/mm² and an axial tensile force of 50kN is acting on the rod.
  • a)
    39mm
  • b)
    44mm
  • c)
    49mm
  • d)
    52mm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Calculate the diameter of pin from shear consideration with maximum sh...
Explanation: As the pin is subjected to double shear diameter (D) = √(2P/π x τ) = 38.80mm.
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Calculate the diameter of pin from shear consideration with maximum sh...
² and maximum load acting on the pin is 2000N.

We can use the formula for shear stress:

τ = F / (π/4 * d²)

where τ is the shear stress, F is the maximum load, and d is the diameter of the pin.

Rearranging the formula to solve for d:

d = √(4F / (π * τ))

Substituting the given values:

d = √(4 * 2000N / (π * 40NN/mm²))

d = √(2000 / (10π))

d = √(200 / π)

d ≈ 8.99mm

Therefore, the diameter of the pin from shear consideration is approximately 8.99mm.
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