GATE CE 2022 Set 1 — Question 38
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Structural Engineering → Connections & Plastic Analysis → Tension Members
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Question
A weld is used for joining an angle section ISA 100 mm 100 mm 10 mm to a gusset plate of thickness 15 mm to transmit a tensile load. The permissible stress in the angle is 150 MPa and the permissible shear stress on the section through the throat of the fillet weld is 108 MPa. The location of the centroid of the angle is represented by in the figure, where mm. The area of cross-section of the angle is 1903 mm. Assuming the effective throat thickness of the weld to be 0.7 times the given weld size, the lengths and (rounded-off to the nearest integer) of the weld required to transmit a load equal to the full strength of the tension member are, respectively
Correct answer
(A) 541 mm and 214 mm
Solution
1.Total tensile load N.
2.From the diagram, the weld size mm. Effective throat thickness mm.
3.Strength of weld per unit length N/mm.
4.Total required length of weld mm.
5.Taking moments about the line of to ensure the resultant weld force passes through the centroid: .
6. mm.
7. mm.
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