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GATE 2018 CE (CE1) – Question 52

Steel Structures · Plastic analysis of beams and portal frames · 2 marks · Numerical answer

The symmetrical welded I-section shown has 140 mm wide, 9 mm thick flanges, overall depth 200 mm and web thickness 6.1 mm. Its weaker-axis plastic section modulus, to one decimal, is ______ cm³.

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Correct answer: 88.0 to 92.0

Explanation

The weak-axis plastic neutral axis passes through the web centreline. The flanges contribute $2(9)(140^2)/4$, and the web contributes $(200-18)(6.1^2)/4$. Total plastic modulus is 89893.055 mm³ = 89.9 cm³.