GATE 2018 ME (ME1) – Question 49
A simply supported beam is 100 mm wide, 200 mm high and 4 m long, carrying a 10 kN/m UDL. Maximum bending stress, to one decimal, is ______ MPa.
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Correct answer: 29.8 to 30.1
Explanation
Maximum moment is $wL^2/8=10(4^2)/8=20$ kN m. Section modulus is $bh^2/6=100(200^2)/6=666666.7$ mm³. Stress is $20\times10^6/666666.7=30.0$ MPa.