GATE CE 2023 Set 1 — Question 53
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardPrincipal Stresses & PlanesTorsion, Stress Transformation & ColumnsStructural Engineering
Structural Engineering → Torsion, Stress Transformation & Columns → Principal Stresses & Planes
Last updated
Question
The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (in N/mm, in integer) at the point? ____________________________
Correct answer
7 to 7
Solution
From the figure, the stresses on the horizontal plane are:
N/mm (tension)
N/mmOn a plane inclined at , the stresses are:
N/mm
N/mmUsing the stress transformation equations:For :Substituting in (1):The principal stresses are:The magnitude of the maximum principal stress is 7.
N/mm (tension)
N/mmOn a plane inclined at , the stresses are:
N/mm
N/mmUsing the stress transformation equations:For :Substituting in (1):The principal stresses are:The magnitude of the maximum principal stress is 7.
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 Torsion, Stress Transformation & Columns
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…