A thin walled steel cylindrical pressure vessel with a radius of 800 mm and a wall thickness of 38 mm is designed to carry an internal pressure of 8 MPa. The steel has a fracture toughness of 95 MPa ,/m and a yield strength of 520 MPa. For this material take the exponent in Paris relation, m = 3 and the coefficient, C= 10-11.
Answer the following questions, stating clearly how you obtained each answer.
• i.What is the maximum crack length through the wall that the vessel can tolerate when operating at the maximum internal pressure to give a reserve factor of 2.5 on the load? • ii.On inspecting the vessel, a welding defect in the shape of a through-thickness edge crack is discovered and is measured to be 4 mm long. Determine how many pressurising cycles will it take for the crack to grow to the size determined in part (i) if the vessel is regularly cycled to 90% of its maximum internal pressure? iii.When the crack has grown to 6.0 mm the vessel is accidently subjected to 100 overload cycles equal to 436 MPa. Again using the fatigue calculator, determine what length the crack will grow to during these overload cycles? What is the percentage reduction in life as found in part (ii) due to these overload
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