Mechanical Engineering > GATE 2025 > Welded Joints
Two plates of thickness 10 mm each are to be joined by a transverse fillet weld on one side and the resulting structure is loaded as shown in the figure below.
If the ultimate tensile strength of the weld material is 150 MPa and the factor of safety to be used is 3, the minimum length of the weld required to ensure that the weld does NOT fail is ______ mm (rounded off to 2 decimal places).
If the ultimate tensile strength of the weld material is 150 MPa and the factor of safety to be used is 3, the minimum length of the weld required to ensure that the weld does NOT fail is ______ mm (rounded off to 2 decimal places).
Correct : 28.28
The minimum weld length required is 28.28 mm.
For a transverse fillet weld, the allowable shear stress is calculated as:
τallow = UTS / (√3 × FOS) = 150 / (1.732 × 3) = 28.87 MPa
The throat thickness for a fillet weld on 10 mm plates is:
tthroat = 0.707 × 10 = 7.07 mm
Minimum weld length = Applied Load / (τallow × tthroat)
Substituting the load from the figure gives L = 28.28 mm.
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