GATE CE 2016 Set 2 — Question 31
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumRigid Design (IRC)Pavement DesignTransportation Engineering
Transportation Engineering → Pavement Design → Rigid Design (IRC)
Last updated
Question
In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair of statements.I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade reaction.Which one of the following combinations is correct?
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade reaction.Which one of the following combinations is correct?
Correct answer
(B) I: False; II: False
Solution
The radius of relative stiffness () is given by the formula:
where:
= Modulus of elasticity of concrete
= Thickness of the slab
= Modulus of subgrade reaction
= Poisson's ratioAnalysis of Statement I:
where:
= Modulus of elasticity of concrete
= Thickness of the slab
= Modulus of subgrade reaction
= Poisson's ratioAnalysis of Statement I:
- , so it is directly related to the modulus of elasticity.
- . As Poisson's ratio () increases, the term decreases, which causes to increase. Thus, is directly related to Poisson's ratio, not inversely. Therefore, Statement I is False.
- , so it is directly related to the thickness of the slab.
- , meaning it is inversely related to the modulus of subgrade reaction. The statement claims it is directly related, which is incorrect. Therefore, Statement II is False.
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 CE 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 Pavement Design
2026 Set 1 Q19Corrections are applied to the basic length of the runway strip considering: (i) The elevation …2026 Set 2 Q23An incident occurred on one side of a median on a four-lane dual carriageway road section. This…2026 Set 2 Q24Which one of the following statements is TRUE?2026 Set 1 Q24Cant on a Broad Gauge railway track is calculated for an equilibrium speed (in km/h),…2026 Set 2 Q25The primary purpose of the Windrose diagram is for the design of