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Consider two concentric circular cylinders of different materials M and N in contact with each
other at r = b, as shown below. The interface at r = b is frictionless. The composite cylinder
system is subjected to internal pressure P. Let anddenote the radial and
tangential displacement and stress components, respectively, in material M Similarly,and  denote the radial and tangential displacement and stress components, respectively,
in material N. The boundary conditions that need to be satisfied at the frictionless interface
between the two cylinders are :
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider two concentric circular cylinders of different materials M an...

Internal pressure causes the stress in radial as well as circumferential direction.
At r=b i.e. interference of the cylinder can be frictionless if Stress in radial direction must be equal. Velocity in radial direction must be equal. (This condition will make the normal force Zero)
As radius of the cylinder increases due to inside pressure, there will be relative velocity between the contact surfaces in the circumferential direction.
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Consider two concentric circular cylinders of different materials M and N in contact with eachother at r = b, as shown below. The interface at r = b is frictionless. The composite cylindersystem is subjected to internal pressure P. Letanddenote the radial andtangential displacement and stress components, respectively, in material M Similarly,anddenote the radial and tangential displacement and stress components, respectively,in material N. The boundary conditions that need to be satisfied at the frictionless interfacebetween the two cylinders are :a)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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Consider two concentric circular cylinders of different materials M and N in contact with eachother at r = b, as shown below. The interface at r = b is frictionless. The composite cylindersystem is subjected to internal pressure P. Letanddenote the radial andtangential displacement and stress components, respectively, in material M Similarly,anddenote the radial and tangential displacement and stress components, respectively,in material N. The boundary conditions that need to be satisfied at the frictionless interfacebetween the two cylinders are :a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider two concentric circular cylinders of different materials M and N in contact with eachother at r = b, as shown below. The interface at r = b is frictionless. The composite cylindersystem is subjected to internal pressure P. Letanddenote the radial andtangential displacement and stress components, respectively, in material M Similarly,anddenote the radial and tangential displacement and stress components, respectively,in material N. The boundary conditions that need to be satisfied at the frictionless interfacebetween the two cylinders are :a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider two concentric circular cylinders of different materials M and N in contact with eachother at r = b, as shown below. The interface at r = b is frictionless. The composite cylindersystem is subjected to internal pressure P. Letanddenote the radial andtangential displacement and stress components, respectively, in material M Similarly,anddenote the radial and tangential displacement and stress components, respectively,in material N. The boundary conditions that need to be satisfied at the frictionless interfacebetween the two cylinders are :a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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