GATE ME 2021 Set 2 — Question 34
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumEuler's Theory of ColumnsBeams & ColumnsStrength of Materials
Strength of Materials → Beams & Columns → Euler's Theory of Columns
Last updated
Question
A column with one end fixed and one end free has a critical buckling load of . For the same column, if the free end is replaced with a pinned end then the critical buckling load will be ________ N (round off to the nearest integer).
Correct answer
800 to 840
Solution
The Euler's critical buckling load is given by , where is the effective length.Case 1: One end fixed, one end free
Effective length
Case 2: One end fixed, one end pinned
Effective length
Substituting the value from Case 1:Rounding to the nearest integer, we get .
Effective length
Case 2: One end fixed, one end pinned
Effective length
Substituting the value from Case 1:Rounding to the nearest integer, we get .
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 Q40A cantilever beam of length is subjected to a concentrated load and a moment as shown…2026 Set 1 Q42A 5 kg mass is suspended at the free end of an overhanging massless beam, having a pin support and…2026 Set 1 Q49A simply supported beam is subjected to an external point load as shown in the figure below.…2026 Set 1 Q51A cylindrical pressure vessel made of steel has diameter of and wall thickness of…2026 Set 1 Q52A welded square plate of is subjected to biaxial state of stress of…