GATE CE 2016 Set 1 — Question 43
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumTrusses (Joints & Sections)Determinate Structures & Energy MethodsStructural Engineering
Structural Engineering → Determinate Structures & Energy Methods → Trusses (Joints & Sections)
Last updated
Question
A plane truss with applied loads is shown in the figure.
The members which do not carry any force are
Correct answer
(A) FT, TG, HU, MP, PL
Solution
We identify zero-force members using standard truss analysis rules:
1.Joint F: Members EF and FG are collinear. Member FT is non-collinear, and there is no external load at joint F. Therefore, .
2.Joint T: Members ET and TS are collinear. Members TF and TG are non-collinear. Since and there is no external load at joint T, the vertical component of must be zero, implying .
3.Joint H: Members GH and HJ are collinear. Member HU is non-collinear, and there is no external load at joint H. Therefore, .
4.Joint M: Members LM and MN are collinear. Member MP is non-collinear, and there is no external load at joint M. Therefore, .
5.Joint P: Members NP and PQ are collinear. Members PM and PL are non-collinear. Since and there is no external load at joint P, the vertical component of must be zero, implying .
Thus, the zero-force members are FT, TG, HU, MP, and PL.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…