GATE CE 2017 Set 1 — Question 7
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumAnalysis of ArchesDeterminate Structures & Energy MethodsStructural Engineering
Structural Engineering → Determinate Structures & Energy Methods → Analysis of Arches
Last updated
Question
The figure shows a two-hinged parabolic arch of span subjected to a uniformly distributed load of intensity per unit length.
The maximum bending moment in the arch is equal to
Correct answer
(C) zero
Solution
For a two-hinged parabolic arch subjected to a uniformly distributed load over the entire span, the horizontal thrust is given by:where is the rise of the arch. The bending moment at any section from the support is:where is the beam bending moment and is the vertical coordinate of the arch at . For a parabolic arch:The beam bending moment for a UDL is:Substituting and into the bending moment equation:Thus, the bending moment is zero at every section of the arch.
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…