GATE CE 2020 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 / -0HardAnalysis of ArchesDeterminate Structures & Energy MethodsStructural Engineering
Structural Engineering → Determinate Structures & Energy Methods → Analysis of Arches
Last updated
Question
A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale)
Neglecting self-weight, the maximum bending moment generated in the structure (in kN.m, round off to the nearest integer), is ___________.
Correct answer
95 to 97
Solution
The structure shown is a parabolic arch with a pin support on the left and a roller support on the right. Since there is no horizontal restraint at the roller support, the horizontal thrust .
For a simply supported curved beam (arch with ), the bending moment at any section is equal to the beam moment ().
For a simply supported beam of span with a uniformly distributed load , the maximum bending moment occurs at the center ():Given and :Rounding to the nearest integer, the maximum bending moment is 96 kN.m.
For a simply supported curved beam (arch with ), the bending moment at any section is equal to the beam moment ().
For a simply supported beam of span with a uniformly distributed load , the maximum bending moment occurs at the center ():Given and :Rounding to the nearest integer, the maximum bending moment is 96 kN.m.
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 Determinate Structures & Energy Methods
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…