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 C_yy in the figure, where C_yy = 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

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Correct Answer is : 541 mm and 214 mm

GATE Civil Engineering (CE) 2022 Shift 1 Solved Paper