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A pressure vessel with thin walls is subject to the following sequence of loading: 1) 50000 cycles with pressure p variable between ( and 100

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A pressure vessel with thin walls is subject to the following sequence of loading: 1) 50000 cycles with pressure p variable between ( and 100 ber 2) 8000 cycles with pressure p variable between 0 and 120 bar A preliminary NDT inspection revealed the presence of a longitudinal crack with length 10 mm, for which the SIF can be expressedes K, = opvin, where a, is the circumferentialstress. Knowing that the pressure vessel has the following dimensions and material properties: Wall thickness: 3-5 mm Diameter: d = 100 mm Plain strain fracture toughness: Kic = 100 MPa mid Paris coefficients: n=]: C=45 x 10-11 and assuming that for crack propagation Paris law is applicable, answer the following questions Calculate the critical crack lengths for the two loading conditions (ael, a-2) Verify whether the component can complete the loading sequence without failure If verification of point 2) is not positive, calculate the number of cycles that can be reached

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