(1) A steel cylinder (Oyp = 260 MPa) of inner radius a and outer radius 3a is subjected to an in %3D fluid pressure pi (Note: ratio of wall thickness (t) to inner radius indicates that this is a thick- cylinder). (a) Determine (i) the maximum radial stress (ơmax); (ii) the maximum tangential stress (o (b) Determine the limiting values of pi, using: (i) the maximum distortion energy theo failure; and (ii) the maximum shear stress theory of failure. (Hint: Maximum radia tangential stresses occur at the same radial distance, see slide 8 of Lecture 9 notes); use maximum stresses as your principal stresses). (c) A steel gun barrel of inner radius 0.6 m is subjected to an internal explosive pressure of 80 The tensile and compressive elastic strengths of the material are 320 MPa. Assuming a fact.

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 8.5.7P: A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0,5 in, is subjected...
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(1)
A steel cylinder (Øyp = 260 MPa) of inner radius a and outer radius 3a is subjected to an internal
fluid pressure pi (Note: ratio of wall thickness (t) to inner radius indicates that this is a thick-walled
cylinder).
(a) Determine (i) the maximum radial stress (ơmax); (ii) the maximum tangential stress (o0max).
(b) Determine the limiting values of p, using: (i) the maximum distortion energy theory of
failure; and (ii) the maximum shear stress theory of failure. (Hint: Maximum radial and
tangential stresses occur at the same radial distance, see slide 8 of Lecture 9 notes); use these
maximum stresses as your principal stresses).
(c) A steel gun barrel of inner radius 0.6 m is subjected to an internal explosive pressure of 80 MPa.
The tensile and compressive elastic strengths of the material are 320 MPa. Assuming a factor of
safety of 2, design the wall thickness of the gun barrel.
Transcribed Image Text:(1) A steel cylinder (Øyp = 260 MPa) of inner radius a and outer radius 3a is subjected to an internal fluid pressure pi (Note: ratio of wall thickness (t) to inner radius indicates that this is a thick-walled cylinder). (a) Determine (i) the maximum radial stress (ơmax); (ii) the maximum tangential stress (o0max). (b) Determine the limiting values of p, using: (i) the maximum distortion energy theory of failure; and (ii) the maximum shear stress theory of failure. (Hint: Maximum radial and tangential stresses occur at the same radial distance, see slide 8 of Lecture 9 notes); use these maximum stresses as your principal stresses). (c) A steel gun barrel of inner radius 0.6 m is subjected to an internal explosive pressure of 80 MPa. The tensile and compressive elastic strengths of the material are 320 MPa. Assuming a factor of safety of 2, design the wall thickness of the gun barrel.
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