GATE ME 2017 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.NAT+2 / -0MediumEnergy Methods & CastiglianoBeams & ColumnsStrength of Materials
Strength of Materials → Beams & Columns → Energy Methods & Castigliano
Last updated
Question
A point mass of is dropped onto a massless elastic bar (cross-sectional area , length , Young's modulus ) from a height of as shown (Figure is not to scale). If , the maximum compression of the elastic bar is _____ mm.
Correct answer
1.5 to 1.52
Solution
Given:
Mass
Height
Area
Length
Young's Modulus
Acceleration due to gravity Step 1: Calculate the axial stiffness of the bar ():Step 2: Calculate the static deflection ():Step 3: Calculate the maximum compression () using the impact factor formula:The maximum compression of the elastic bar is approximately .
Mass
Height
Area
Length
Young's Modulus
Acceleration due to gravity Step 1: Calculate the axial stiffness of the bar ():Step 2: Calculate the static deflection ():Step 3: Calculate the maximum compression () using the impact factor formula:The maximum compression of the elastic bar is approximately .
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…