GATE ME 2020 Set 1 — Question 40
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67HardTrusses (Joints & Sections)StaticsEngineering MechanicsEuler's Theory of ColumnsBeams & ColumnsStrength of Materials
Engineering Mechanics → Beams & Columns → Euler's Theory of Columns
Last updated
Question
The truss shown in the figure has four members of length and flexural rigidity , and one member of length and flexural rigidity . The truss is loaded by a pair of forces of magnitude , as shown in the figure.
The smallest value of , at which any of the truss members will buckle is
Correct answer
(C) (2π² EI)/(l²)
Solution
The loads are applied at opposite joints along the diagonal. This means the diagonal member carries the entire load in compression, while the four outer members carry zero force.For the diagonal member:
Length , Flexural rigidity .
Euler buckling load .Since the other members are zero-force members, they will not buckle. Thus, the smallest value of for buckling is .
Length , Flexural rigidity .
Euler buckling load .Since the other members are zero-force members, they will not buckle. Thus, the smallest value of for buckling is .
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 ME 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 Beams & Columns
2026 Set 1 Q16A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The…2026 Set 1 Q29A hydraulic crane supports a mass of with its piston-cylinder actuator, inclined at…2026 Set 1 Q40A cantilever beam of length is subjected to a concentrated load and a moment as shown…2026 Set 1 Q41Two structural members are connected by a hinge and they are externally loaded as shown in the…2026 Set 1 Q42A 5 kg mass is suspended at the free end of an overhanging massless beam, having a pin support and…