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A thick-walled pipe of internal diameter 200 mm and external diameter 300 mm is designed to withstand an internal fluid pressure of 20 MPa.  a) At both inner and outer surfaces, determine: i) the radial stress, ii) the hoop stress, and iii) the maximum shear stress. b) Sketch the variation of hoop stress and radial stress across the pipe thickness. Indicate the values of the stresses at both inner and outer radii. c) What is the percentage error between the maximum hoop stress values calculated using thick and thin cylinder equations?

A thick-walled pipe of internal diameter 200 mm and external diameter 300 mm is designed to withstand an internal fluid pressure of 20 MPa.  a) At both inner and outer surfaces, determine: i) the radial stress, ii) the hoop stress, and iii) the maximum shear stress. b) Sketch the variation of hoop stress and radial stress across the pipe thickness. Indicate the values of the stresses at both inner and outer radii. c) What is the percentage error between the maximum hoop stress values calculated using thick and thin cylinder equations?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A thick-walled pipe of internal diameter 200 mm and external diameter 300 mm is designed to withstand an internal fluid pressure of 20 MPa. 
a) At both inner and outer surfaces, determine:

i) the radial stress,

ii) the hoop stress, and

iii) the maximum shear stress.


b) Sketch the variation of hoop stress and radial stress across the pipe thickness. Indicate the values of the stresses at both inner and outer radii.


c) What is the percentage error between the maximum hoop stress values calculated using thick and thin cylinder equations?

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