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GATE 2022 CE (CE1) – Question 38

Steel Structures · Connections: simple, eccentric, beam-column · 2 marks · Multiple choice

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 Cyy in the figure, where Cyy = 28.4 mm. The area of cross-section of the angle is 1903 mm2. Assuming the effective throat thickness of the weld to be 0.7 times the given weld size, the lengths L1 and L2 (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

Two 5 mm fillet welds of lengths L1 and L2, spaced 100 mm, connect the section to a 15 mm gusset plate. See the attached source image.
  1. 541 mm and 214 mm
  2. 214 mm and 541 mm
  3. 380 mm and 151 mm
  4. 151 mm and 380 mm

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Correct answer: (A) 541 mm and 214 mm

Explanation

The full tensile strength is $1903(150)=285450$ N. Each 5 mm fillet has throat $0.7(5)=3.5$ mm and capacity per length $3.5(108)=378$ N/mm. Thus $L_1+L_2=285450/378=755.1587$ mm.

Moment balance about the upper weld gives $L_2/(L_1+L_2)=28.4/100$. Hence $L_2=214.465$ mm and $L_1=540.694$ mm, rounded to **541 mm and 214 mm (A)**.