Define the main difference between thick and thin cylinders and give an example for each type of cylinder Derive the expression of longitudinal stress, o, for a closed thick cylinder which has inner radius, R₁ and outer radius, R₂ and subjected to internal pressure only. Figure Q3 shows a cross section of composite cylinder that is made by shrinking a tube of 330 mm internal diameter and 50 mm thick over another tube of 330 mm external diameter and 50 mm thick. The radial pressure at the common surface, after shrinking is 180 MPa. Suppose the compound cylinder is subjected to an internal fluid pressure of 1200 MPa, determine; i) the hoop stresses at inner radius and outer radius of inner cylinder, ii) the hoop stresses at inner radius and outer radius of outer cylinder. Ro P ↓ Figure Q3 R₁

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
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Define the main difference between thick and thin cylinders and give an example for
each type of cylinder
Derive the expression of longitudinal stress, o, for a closed thick cylinder which has
inner radius, R₁ and outer radius, R₂ and subjected to internal pressure only.
Figure Q3 shows a cross section of composite cylinder that is made by shrinking a
tube of 330 mm internal diameter and 50 mm thick over another tube of 330 mm
external diameter and 50 mm thick. The radial pressure at the common surface, after
shrinking is 180 MPa. Suppose the compound cylinder is subjected to an internal fluid
pressure of 1200 MPa, determine;
i)
the hoop stresses at inner radius and outer radius of inner cylinder,
ii)
the hoop stresses at inner radius and outer radius of outer cylinder.
Ro
P
Figure Q3
R₁
Transcribed Image Text:Define the main difference between thick and thin cylinders and give an example for each type of cylinder Derive the expression of longitudinal stress, o, for a closed thick cylinder which has inner radius, R₁ and outer radius, R₂ and subjected to internal pressure only. Figure Q3 shows a cross section of composite cylinder that is made by shrinking a tube of 330 mm internal diameter and 50 mm thick over another tube of 330 mm external diameter and 50 mm thick. The radial pressure at the common surface, after shrinking is 180 MPa. Suppose the compound cylinder is subjected to an internal fluid pressure of 1200 MPa, determine; i) the hoop stresses at inner radius and outer radius of inner cylinder, ii) the hoop stresses at inner radius and outer radius of outer cylinder. Ro P Figure Q3 R₁
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