GATE ME 2018 Set 2 — 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 / -0.67MediumStress & StrainStress, Strain & Elastic ConstantsStrength of Materials
Strength of Materials → Stress, Strain & Elastic Constants → Stress & Strain
Last updated
Question
A bimetallic cylindrical bar of cross sectional area 1 m is made by bonding Steel (Young’s modulus = 210 GPa) and Aluminium (Young’s modulus = 70 GPa) as shown in the figure. To maintain tensile axial strain of magnitude in Steel bar and compressive axial strain of magnitude in Aluminum bar, the magnitude of the required force (in kN) along the indicated direction is
Correct answer
(D) 280
Solution
Let be the force in the steel bar and be the force in the aluminium bar.
From the free body diagram of the interface, the applied force must balance the internal forces: (since causes tension in steel and compression in aluminium).
The force in each section is given by .
For Steel: .
For Aluminium: .
The total required force .
From the free body diagram of the interface, the applied force must balance the internal forces: (since causes tension in steel and compression in aluminium).
The force in each section is given by .
For Steel: .
For Aluminium: .
The total required force .
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 Stress, Strain & Elastic Constants
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…