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

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

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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