GATE CE 2018 Set 1 — Question 52
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Structural Engineering → Connections & Plastic Analysis → Shape Factor & Collapse Load
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Question
The dimensions of a symmetrical welded I-section are shown in the figure. 
The plastic section modulus about the weaker axis (in cm, up to one decimal place) is ______
Correct answer
88 to 92
Solution
1.Identify the weaker axis: For a symmetrical I-section, the weaker axis is the y-axis (vertical axis passing through the center of the web).
2.Calculate Plastic Section Modulus ():
, where is the distance from the plastic neutral axis (y-axis) to the centroid of each area element.3.Contribution of Flanges:
There are two flanges. Each flange is split into two rectangles of mm by the y-axis.4.Contribution of Web:
The web is split into two rectangles of mm.5.Total Plastic Section Modulus:
6.Convert to cm:
Rounding to one decimal place, the value is 90.1 cm.Continue learning with Success Tracker
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