(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.

(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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

(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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