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The permissible stress in a filled 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?
Verified Answer
The permissible stress in a filled weld is 100 N/mm2. The fillet weld ...
 Load allowed = 100 x 0.707 x 10 x15 = 10.6 kN
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The permissible stress in a filled weld is 100 N/mm2. The fillet weld ...
Permissible Stress in Filled Weld

The permissible stress in a filled weld is given as 100 N/mm2. This means that the maximum stress that can be applied to the weld without causing failure is 100 N/mm2.

Fillet Weld with Equal Leg Lengths

The fillet weld in question has equal leg lengths of 15 mm each. This means that the weld forms a 45-degree angle between the two plates it is joining.

Allowable Shearing Load on Weldment

The allowable shearing load on the weldment per cm length of the weld can be calculated using the following formula:

Shear Stress = 0.7 x Permissible Stress

Shear Stress = 0.7 x 100 N/mm2

Shear Stress = 70 N/mm2

The shear stress on the weld can be further calculated using the following formula:

Shear Stress = Shearing Force / Area of Weld

The area of the weld can be calculated using the following formula:

Area of Weld = Leg Length x Length of Weld

Area of Weld = 15 mm x 10 mm

Area of Weld = 150 mm2

Substituting the values in the formula for shear stress, we get:

70 N/mm2 = Shearing Force / 150 mm2

Shearing Force = 10,500 N

The allowable shearing load on the weldment per cm length of the weld can be calculated by dividing the shearing force by the length of the weld:

Allowable Shearing Load = Shearing Force / Length of Weld

Allowable Shearing Load = 10,500 N / 100 mm

Allowable Shearing Load = 105 N/cm

Converting N/cm to kN/cm, we get:

Allowable Shearing Load = 0.105 kN/cm

Therefore, the correct answer is option C, which is 10.6 kN.
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The permissible stress in a filled 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 kN b)15.0 kN c)10.6 kN d)7.5 kN.Correct answer is option 'C'. Can you explain this answer?
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