Consider a rocket casing (cylindrical pressure cylinder) with a 260 in diameter

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Consider a rocket casing (cylindrical pressure cylinder) with a 260 in diameter and a wall thickness of 0.73 in made of steel of S_y = 240ksi and fracture toughness 79.6 ksi-Squareroot in. It was designed to withstand an internal pressure of 960 psi however it had a sudden failure at 542 psi. What was the designed factor of safety against yielding ? Assuming that the failure happened due to crack propagation determine the crack length that initiated the sudden failure assuming (assume two different but simple orientations for the crack) ?

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