GATE CE 2022 Set 2 — Question 38
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumShape Factor & Collapse LoadConnections & Plastic AnalysisStructural Engineering
Structural Engineering → Connections & Plastic Analysis → Shape Factor & Collapse Load
Last updated
Question
For the square steel beam cross-section shown in the figure, the shape factor about axis is and the plastic moment capacity is . Consider yield stress and .
The values of and (rounded-off to one decimal place) are
Correct answer
(A) S = 2.0, M_P = 58.9 kN-m
Solution
1.Elastic Section Modulus (): For a square section of side rotated by , the moment of inertia about the centroidal axis is . The distance from the neutral axis to the extreme fiber is .
2.Plastic Section Modulus (): The plastic neutral axis divides the area into two equal halves. For this diamond shape, it consists of two triangles, each with area . The centroid of each triangle from the neutral axis is .
3.Shape Factor ():
4.Plastic Moment Capacity ():
Given and .Rounding to one decimal place, .Thus, and , which corresponds to option (A).Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Connections & Plastic Analysis
2026 Set 1 Q13A thin-walled spherical gas balloon of radius and wall thickness () is subjected…2026 Set 2 Q14A rectangular singly reinforced concrete beam has a width of 300 mm and an effective depth of 550…2026 Set 1 Q14Black dot shown in the figure qualitatively represents the shear centre of the angle section. The…2026 Set 2 Q15As per IS:800-2007, design of a cantilever steel beam section for its moment capacity requires…2026 Set 1 Q15Which one of the following is utilized to determine the long-term deformation of concrete under…