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?

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.11P: The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in...

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