State clearly the assumptions made in Lame's theory of thick cylinders. Assuming fundamental formula for radial and hoop stresses in a thick cylinder, prove thát when a collar having an internal diameter D, and an external diameter D, is shrunk on to a solid shaft of the same material and having an external diameter D1 + 8(8 being small shrinkage allowance) then the radial pressure at the ES (D - D7) 2 D,D? joint is equal to

State clearly the assumptions made in Lame's theory of thick cylinders. Assuming fundamental formula for radial and hoop stresses in a thick cylinder, prove thát when a collar having an internal diameter D, and an external diameter D, is shrunk on to a solid shaft of the same material and having an external diameter D1 + 8(8 being small shrinkage allowance) then the radial pressure at the ES (D - D7) 2 D,D? joint is equal to

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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