GATE ME 2014 Set 3 — Question 45
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67HardDeflection of BeamsBeams & ColumnsStrength of Materials
Strength of Materials → Beams & Columns → Deflection of Beams
Last updated
Question
A force is applied at a distance from the end of the beam as shown in the figure. The frame consists of a horizontal cantilever of length fixed to the wall at its left end; its free (right) end is point . At a rigid vertical member connects to a lower horizontal arm, also of length , which extends back towards the wall and ends free. The force acts vertically downward on the lower arm at a distance from its free (left) end. What would be the value of so that the displacement at 'A' is equal to zero?
Correct answer
(C) 0.33L
Solution
Treat the vertical member and lower arm as rigid; they only transmit the load to point , the tip of the cantilever of length .Load transferred to . acts on the lower arm at horizontal distance from (the arm has length and is measured from its free end). Moving to gives:
- a downward force at the tip, and
- a couple which, because lies on the wall side of , tends to rotate the tip upward.
- (A) : couple too small, moves down.
- (B) : couple too large, moves up.
- (C) : deflection is zero.
- (D) : couple too small, moves down.
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 at mid-span and an…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…