7. A thick-wall cylinder is made of steel (E-200 GPa and v=0.29), has an inside diameter of 20 mm, and an outside diameter of 100mm. The cylinder is subjected to an internal pressure of 300 MPa. Determine the stress components at r = 10 mm.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.5.11P: -11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0...
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7. A thick-wall cylinder is made of steel (E-200 GPa and v=0.29), has an inside diameter of
20 mm, and an outside diameter of 100mm. The cylinder is subjected to an internal pressure
of 300 MPa. Determine the stress components at r = 10 mm.
8. (a) A thick-wall cylinder, as shown in Figure 1, is made of steel (E-200 GPa and v=0.29),
has an inside diameter of 20 mm and has an outside diameter of 100 mm. The cylinder is
subjected to an internal pressure of 300 MPa. Determine the stress components
000 and Ozz at r=r, and r=₁.
10
Longitudinal Stress
Figure 1: Various stresses acting on a thick-walled pressure vessel.
(b) In order for the pressure vessel not to fail due to fracture, the initial length of a crack
must be less than a certain size. Determine the maximum allowable crack length a if the
material The fracture toughness Kc = 50 MPa√m.
Transcribed Image Text:7. A thick-wall cylinder is made of steel (E-200 GPa and v=0.29), has an inside diameter of 20 mm, and an outside diameter of 100mm. The cylinder is subjected to an internal pressure of 300 MPa. Determine the stress components at r = 10 mm. 8. (a) A thick-wall cylinder, as shown in Figure 1, is made of steel (E-200 GPa and v=0.29), has an inside diameter of 20 mm and has an outside diameter of 100 mm. The cylinder is subjected to an internal pressure of 300 MPa. Determine the stress components 000 and Ozz at r=r, and r=₁. 10 Longitudinal Stress Figure 1: Various stresses acting on a thick-walled pressure vessel. (b) In order for the pressure vessel not to fail due to fracture, the initial length of a crack must be less than a certain size. Determine the maximum allowable crack length a if the material The fracture toughness Kc = 50 MPa√m.
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