A compound cylinder is formed by shrinking one cylinder over another, the final dimensions being, inner diameter = 150mm, diameter at the junction = 200mm, outer diameter = 250mm. If the radial pressure at the junction due to shrinkage is 40N/mm2, calculate: (a) Initial stresses in the cross section of the tube. (b) If a fluid pressure of 80N/mm2is admitted in the compound tube calculate the final stresses. Plot the variation of hoop

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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A compound cylinder is formed by shrinking one cylinder over another, the
final dimensions being, inner diameter = 150mm, diameter at the junction =
200mm, outer diameter = 250mm. If the radial pressure at the junction due to
shrinkage is 40N/mm2, calculate: (a) Initial stresses in the cross section of the
tube. (b) If a fluid pressure of 80N/mm2is admitted in the compound tube
calculate the final stresses. Plot the variation of hoop and radial stress across
the wall thickness.

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