Question

Q1. A vessel is to be used for internal pressure up to 207 MPa. It consists of two hollow steel cylinders which are shrunk one onto the other. The inner tube has an internal diameter of 200 mm and a nominal external diameter of 300 mm, while the outer tube is 300 mm nominal and 400 mm for the inner and outer diameters, respectively. The interference at the mating surface of the cylinders is 0.1 mm. $E = 207 ext{GPa}$ and $v = 0.3$. (a) Determine the radial and circumferential stresses at the bores and outside surfaces of the tubes of the compound cylinder. The axial stress in the cylinders is to be neglected. [30 marks] (b) On the same stress/diameter axis, plot all the calculated stress (i.e. radial and circumferential stresses) of the compound cylinder [10 marks]

          Q1.
A vessel is to be used for internal pressure up to 207 MPa. It consists of two hollow steel
cylinders which are shrunk one onto the other. The inner tube has an internal diameter of
200 mm and a nominal external diameter of 300 mm, while the outer tube is 300 mm nominal
and 400 mm for the inner and outer diameters, respectively. The interference at the mating
surface of the cylinders is 0.1 mm. $E = 207 	ext{GPa}$ and $v = 0.3$.
(a) Determine the radial and circumferential stresses at the bores and outside surfaces of
the tubes of the compound cylinder. The axial stress in the cylinders is to be neglected.
[30 marks]
(b) On the same stress/diameter axis, plot all the calculated stress (i.e. radial and
circumferential stresses) of the compound cylinder
[10 marks]

Q1.
A vessel is to be used for internal pressure up to 207 MPa. It consists of two hollow steel
cylinders which are shrunk one onto the other. The inner tube has an internal diameter of
200 mm and a nominal external diameter of 300 mm, while the outer tube is 300 mm nominal
and 400 mm for the inner and outer diameters, respectively. The interference at the mating
surface of the cylinders is 0.1 mm. E = 207 extGPa and v = 0.3.
(a) Determine the radial and circumferential stresses at the bores and outside surfaces of
the tubes of the compound cylinder. The axial stress in the cylinders is to be neglected.
[30 marks]
(b) On the same stress/diameter axis, plot all the calculated stress (i.e. radial and
circumferential stresses) of the compound cylinder
[10 marks]

Added by Mariano S.

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