GATE CE 2026 Set 1 — Question 52
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Structural Engineering → Connections & Plastic Analysis → Shape Factor & Collapse Load
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Question
The cross-section of a steel T-beam is shown in the figure where all dimensions are in mm.
(Figure not to scale)The plastic section modulus of the given cross-section is _________ (in integer).
Correct answer
12 to 12
Solution
1.Calculate total area of the cross-section:
- Area of flange
- Area of web
- Total Area
The PNA divides the total area into two equal parts (). Since the flange area is exactly , the PNA lies at the junction of the flange and the web.
3.Calculate Plastic Section Modulus ():
, where is the distance from the PNA to the centroid of each area part.- For the flange (above PNA): ,
- For the web (below PNA): ,
4.Express in requested format:
The integer value is 12.
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