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.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Stress Transformation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY