A closed cylinder (26 + 60) cm long, containing 3 MPa pressurized fluid, due to this pressure a change in volume and change in length occurs has the values 1.535 × 10-6 m3 and 4.2 x 10-5 m3, respectively. Determine: (a) the diameter and thickness of the cylinder. (b) the hoop and longitudinal stresses. (c) to what value can the fluid pressure be increased before failure occurs according to the maximum principal stress theory of elastic failure? (d) under the pressure produced in (c), what will be the extra fluid required to = 200 GPa, v = 0.3, and the pumped into the cylinder. For the material of the cylinder, E yield stress oy in simple tension 280 MPa.

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 8.2.6P: A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of...
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A closed cylinder (26 + 60) cm long, containing 3 MPa pressurized fluid, due to this
pressure a change in volume and change in length occurs has the values 1.535 × 10-6 m3
and 4.2 x 10-5 m3, respectively. Determine: (a) the diameter and thickness of the
cylinder. (b) the hoop and longitudinal stresses. (c) to what value can the fluid pressure be
increased before failure occurs according to the maximum principal stress theory of elastic
failure? (d) under the pressure produced in (c), what will be the extra fluid required to
pumped into the cylinder. For the material of the cylinder, E
200 GPa, v =
0.3, and the
||
yield stress oy in simple tension 280 MPa.
Transcribed Image Text:A closed cylinder (26 + 60) cm long, containing 3 MPa pressurized fluid, due to this pressure a change in volume and change in length occurs has the values 1.535 × 10-6 m3 and 4.2 x 10-5 m3, respectively. Determine: (a) the diameter and thickness of the cylinder. (b) the hoop and longitudinal stresses. (c) to what value can the fluid pressure be increased before failure occurs according to the maximum principal stress theory of elastic failure? (d) under the pressure produced in (c), what will be the extra fluid required to pumped into the cylinder. For the material of the cylinder, E 200 GPa, v = 0.3, and the || yield stress oy in simple tension 280 MPa.
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