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A double fillet joint is being subjected to a transverse load. The height and length of the fillet is 10 mm and 100 mm respectively. The maximum shear stress is 100 MPa. The maximum load the joint can carry is
  • a)
    707 N
  • b)
    141 N
  • c)
    718 kN
  • d)
    141 kN
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A double fillet joint is being subjected to a transverse load. The hei...
Given data:
Height of fillet joint (h) = 10 mm
Length of fillet joint (l) = 100 mm
Maximum shear stress (τ) = 100 MPa

To find:
Maximum load the joint can carry.

Formula used:
The maximum load the joint can carry is given by the formula:
P = τ×A
where,
τ = Maximum shear stress
A = Area of the fillet joint

Area of the fillet joint is given by the formula:
A = 2×(l×h/2) + l×h
where,
l = Length of fillet joint
h = Height of fillet joint

Calculation:
Area of the fillet joint = 2×(l×h/2) + l×h
= (l×h) + (l×h)
= 2×l×h
= 2×100×10
= 2000 mm²

Maximum load the joint can carry = τ×A
= 100×10^6×2000×10^-6
= 200 kN
= 200000 N

Therefore, the maximum load the joint can carry is 200 kN or 200000 N which is option (d).
Free Test
Community Answer
A double fillet joint is being subjected to a transverse load. The hei...
P=2x0.707x10x100x100=141400/1000=141.4kN
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