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GATE 2019 CE (CE2) – Question 48

Steel Structures · Design of beams, beam-columns and column bases · 2 marks · Numerical answer

A rolled I-section rests on a 75 mm wide end bearing plate as shown. Flange thickness is 20 mm, web thickness 8 mm, root radius 10 mm, yield stress 250 MPa and material partial safety factor 1.10. Under IS 800:2007, find web bearing strength (kN), to two decimal places.

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Correct answer: 272.60 to 272.80

Explanation

End-bearing effective length is $75+2.5(t_f+r)=75+2.5(20+10)=150$ mm. Web bearing resistance is $150(8)(250)/1.10=272727.3$ N, or **272.73 kN**.