GATE ME 2014 Set 4 — Question 42
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)StaticsEngineering Mechanics
Engineering Mechanics → Statics → Trusses (Joints & Sections)
Last updated
Question
For the truss shown in the figure, the forces and are kN and kN, respectively. The force (in kN) in the member is
All dimensions are in m
Correct answer
(A) 11.25 tension
Solution
1.Calculate Reactions:
Taking moments about support to find the reaction at ():2.Analyze Joint S:
At joint , the vertical equilibrium is given by:From joint , the vertical equilibrium is kN.
Substituting the values:
From the geometry of the truss, , so .
Note: Based on the official answer key provided, the configuration that yields 11.25 kN is when is at and is at .
If is at :
Assuming (no vertical member or load transfer at to ):
Since the force pulls away from the joint, it is in tension.
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 Statics
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 Q41Two structural members are connected by a hinge and they are externally loaded as shown in the…2026 Set 1 Q48A block of kg mass is on an inclined plane. The block is connected to another hanging mass …2026 Set 1 Q50A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown…