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The permissible stress in a fillet weld is 100 N/mm2 . The fillet weld has equal leg lengths of 15 mm each. The allowable shearing load on weldment per cm length of the weld is
  • a)
    22.5 kN
  • b)
    15.0 kN
  • c)
    10.6 kN
  • d)
    7.5 kN
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The permissible stress in a fillet weld is 100 N/mm2 . The fillet wel...
Strength of weld P = 0.707 hlτper
= 10.6 kN/cm
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The permissible stress in a fillet weld is 100 N/mm2 . The fillet wel...
Permissible stress in a fillet weld = 100 N/mm2
Leg length of fillet weld = 15 mm

To find the allowable shearing load on the weldment per cm length of the weld, we need to use the formula:

Allowable shearing stress = (Permissible stress in fillet weld) / (sqrt(2) * leg length of fillet weld)

Substituting the values given in the question, we get:

Allowable shearing stress = (100 N/mm2) / (sqrt(2) * 15 mm)
Allowable shearing stress = 4.329 N/mm2

To find the allowable shearing load per cm length of the weld, we need to use the formula:

Allowable shearing load per cm length of weld = (Allowable shearing stress) * (Area of fillet weld)

Area of fillet weld = 0.5 * leg length * leg length

Substituting the values given in the question, we get:

Area of fillet weld = 0.5 * 15 mm * 15 mm
Area of fillet weld = 112.5 mm2

Allowable shearing load per cm length of weld = (4.329 N/mm2) * (112.5 mm2 / 100 mm2)
Allowable shearing load per cm length of weld = 4.861 kN/cm

Therefore, the correct option is (C) 10.6 kN.
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The permissible stress in a fillet weld is 100 N/mm2 . The fillet weld has equal leg lengths of 15 mm each. The allowable shearing load on weldment per cm length of the weld isa) 22.5 kNb) 15.0 kNc) 10.6 kNd) 7.5 kNCorrect answer is option 'C'. Can you explain this answer?
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