GATE ME 2021 Set 1 — Question 65
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Machine Design → Machine Elements → Bolted, Riveted & Welded Joints
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Question
A cantilever beam of rectangular cross-section is welded to a support by means of two fillet welds as shown in figure. A vertical load of acts at free end of the beam.
Considering that the allowable shear stress in weld is , the minimum size (leg) of the weld required is ______ mm (round off to one decimal place).
Correct answer
6.4 to 6.9
Solution
Given:
Load
Distance
Bending moment
Weld height
Number of welds
Allowable shear stress For two vertical fillet welds:
Area of weld throat , where is throat thickness.
Moment of inertia of weld throat Bending stress in weld throat:
Direct shear stress in weld throat:
Using the maximum shear stress theory for the weld (as per standard design practice for this configuration):
Setting :
Leg size Rounding to one decimal place, the minimum leg size is .
Load
Distance
Bending moment
Weld height
Number of welds
Allowable shear stress For two vertical fillet welds:
Area of weld throat , where is throat thickness.
Moment of inertia of weld throat Bending stress in weld throat:
Direct shear stress in weld throat:
Using the maximum shear stress theory for the weld (as per standard design practice for this configuration):
Setting :
Leg size Rounding to one decimal place, the minimum leg size is .
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