GATE CE 2019 Set 1 — Question 29
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumSimple Bending TheoryStress, Strain & BeamsStructural Engineering
Structural Engineering → Stress, Strain & Beams → Simple Bending Theory
Last updated
Question
For a given loading on a rectangular plain concrete beam with an overall depth of , the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of . The curvature in the beam cross-section (in , round off to 3 decimal places), is ___________
Correct answer
0.001 to 0.001
Solution
Curvature () is defined as the rate of change of slope, which for a beam in bending is given by:where:
= compressive strain at the extreme fiber =
= tensile strain at the extreme fiber =
= overall depth of the beam = Substituting the values:The curvature is .
= compressive strain at the extreme fiber =
= tensile strain at the extreme fiber =
= overall depth of the beam = Substituting the values:The curvature is .
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 Stress, Strain & Beams
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…