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GATE 2018 CE (CE2) – Question 33

Steel Structures · Connections: simple, eccentric, beam-column · 1 mark · Numerical answer

A fillet weld simultaneously carries factored normal stress 120 MPa and shear stress 50 MPa. According to IS 800:2007 referred to in the paper, equivalent stress, to two decimals, is ______ MPa.

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Correct answer: 147.50 to 148.50

Explanation

Combine normal and shear components using $f_e=\sqrt{f_n^2+3\tau^2}$. Thus $f_e=\sqrt{120^2+3(50^2)}=147.9865$ MPa, rounded to 147.99 MPa.