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 If knuckle joint is to fail by crushing failure of pin in fork, then determine the diameter of knuckle pin when 50kN axial tensile force act on rods. Given: Max allowable compressive stress=25N/mm², thickness of each eye of fork=25mm.
  • a)
    40mm
  • b)
    50mm
  • c)
    60mm
  • d)
    70mm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If knuckle joint is to fail by crushing failure of pin in fork, then d...
Explanation: d=P/2aσ = 40mm.
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If knuckle joint is to fail by crushing failure of pin in fork, then d...
To determine the diameter of the knuckle pin, we need to calculate the maximum allowable compressive stress on the pin.

Given:
Maximum allowable compressive stress = 25 N/mm²
Axial tensile force acting on rods = 50 kN

Since the knuckle joint fails by the crushing failure of the pin in the fork, the maximum compressive stress on the pin will be equal to the tensile stress acting on the rods.

Tensile stress = Force/Area

Converting the axial tensile force to N:
50 kN = 50,000 N

Let's assume the diameter of the knuckle pin as d.

The area of the knuckle pin can be calculated using the formula:
Area = π(d²/4)

Equating the tensile stress and compressive stress:
Force/Area = Maximum allowable compressive stress

50,000 N / (π(d²/4)) = 25 N/mm²

Simplifying the equation:
(50,000 * 4) / (π * d²) = 25

200,000 / (π * d²) = 25

Dividing both sides of the equation by 25:
8,000 / (π * d²) = 1

Rearranging the equation:
d² = 8,000 / (π * 1)

d² = 2,546.48

Taking the square root of both sides:
d ≈ √2,546.48

d ≈ 50.46 mm

Therefore, the diameter of the knuckle pin, when a 50 kN axial tensile force acts on the rods, is approximately 50.46 mm.
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If knuckle joint is to fail by crushing failure of pin in fork, then determine the diameter of knuckle pin when 50kN axial tensile force act on rods. Given: Max allowable compressive stress=25N/mm², thickness of each eye of fork=25mm.a)40mmb)50mmc)60mmd)70mmCorrect answer is option 'A'. Can you explain this answer?
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