GATE CE 2025 Set 1 — Question 50
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardBending Moment (Determinate Beams)Stress, Strain & BeamsStructural EngineeringSimple Bending Theory
Structural Engineering → Stress, Strain & Beams → Bending Moment (Determinate Beams)
Last updated
Question
For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of AC is given by . The value of is ___________________ (rounded off to the nearest integer).
Correct answer
3 to 3
Solution
1.Determine the reactions:
Let and be the vertical reactions at supports A and B respectively. Taking moments about B for the entire beam of length :2.Bending moment at the mid-point of AC:
The mid-point of AC is at a distance from support A. The bending moment at any point in segment AC () is:At :
3.Second derivative of the deflection curve:
The governing equation is .For segment AC, the flexural rigidity is . Thus, at the mid-point of AC:
4.Find :
Comparing this with the given expression , we find .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…