GATE CE 2016 Set 2 — Question 16
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumIndeterminate StructuresIndeterminate Analysis & Influence LinesStructural Engineering
Structural Engineering → Indeterminate Analysis & Influence Lines → Indeterminate Structures
Last updated
Question
The kinematic indeterminacy of the plane truss shown in the figure is
Correct answer
(A) 11
Solution
The kinematic indeterminacy () for a plane truss is given by:
where is the number of joints and is the number of support reactions.
From the figure, the joints are:
The supports are a hinge (2 reactions) and a roller (1 reaction), so .
.
where is the number of joints and is the number of support reactions.
From the figure, the joints are:
- 3 joints on the bottom chord (including the two supports).
- 3 joints on the middle horizontal chord.
- 1 joint at the top apex.
The supports are a hinge (2 reactions) and a roller (1 reaction), so .
.
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 Indeterminate Analysis & Influence Lines
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…