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A cylindrical steel pressure vessel, with a diameter of 7.5 m and a wall thickne

ID: 1820307 • Letter: A

Question

A cylindrical steel pressure vessel, with a diameter of 7.5 m and a wall thickness of 40 mm, must operate at a pressure of 5.1 MNm-2. In the design it is assumed that the vessel fails as a result of unstable extension of a fatigue crack developing in the axial direction of the vessel. To avoid such a failure, the number of times the vessel may be loaded from zero to maximum load is limited to 3000.
The maximum allowable K (at failure) in this material is 200 MNm-3/2 and fatigue crack growth is described by:
da/dn •A•(?K)4, where A= 2.44•10-14(MNm-3/2)-4m
Determine the pressure at which the vessel should be tested before used in order to guarantee that failure does not occur before loading it 3000 times. Assume K1= ?(?a)1/2.

Explanation / Answer

Ans: 8.98 MP

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