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The volumetric strain in case of a thin cylindrical shell of diameter 'd', thickness 't', subjected to
internal pressure 'P' is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The volumetric strain in case of a thin cylindrical shell of diameter ...
The Volumetric strain: for a thin cylindrical shell thickness 't' & dia 'd' is given as:



ϵ = σ / E * [ 5/ 2 − 2μ]

Now, σ = is called hoop stress = P Dm /2t

Therefore,


ϵ = P Dm /2t E * [ 5/ 2 − 2μ]

and furthur,

ϵ = P Dm /4t E * [ 5 − 4μ]

[which is option C] ✅


Note:
_The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient._
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The volumetric strain in case of a thin cylindrical shell of diameter d, thickness t, subjected tointernal pressure P isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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