7. = A cylindrical pressure vessel has a radius of 1.5 m, and an internal pressure...
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7. = A cylindrical pressure vessel has a radius of 1.5 m, and an internal pressure of 1 MPa. The pressure vessel is to be designed on a leak-before-break criterion. You may assume that the stress-intensity factor for any cracks in the pressure vessel is given by K 1.120(a)/2 where a is the depth of the crack and o is the stress normal to the crack. You can either make the material out of (i) an aluminum alloy with a fracture toughness of 35 MPa.m /2, and oy of 325 MPa and a density of 2700 kg/m, or a steel with a fracture toughness of 140 MPa.m /2, and oy of 500 MPa and a density of 7900 kg/m. (a) What is the minimum mass (per m) of the pressure vessel if the safety of factor on the wall thickness is 3? (550 kg/m) (b) What would be the answer to part a if the safety factor on the pressure is 3 (instead of a safety factor on the thickness) (580 kg/m) 7. = A cylindrical pressure vessel has a radius of 1.5 m, and an internal pressure of 1 MPa. The pressure vessel is to be designed on a leak-before-break criterion. You may assume that the stress-intensity factor for any cracks in the pressure vessel is given by K 1.120(a)/2 where a is the depth of the crack and o is the stress normal to the crack. You can either make the material out of (i) an aluminum alloy with a fracture toughness of 35 MPa.m /2, and oy of 325 MPa and a density of 2700 kg/m, or a steel with a fracture toughness of 140 MPa.m /2, and oy of 500 MPa and a density of 7900 kg/m. (a) What is the minimum mass (per m) of the pressure vessel if the safety of factor on the wall thickness is 3? (550 kg/m) (b) What would be the answer to part a if the safety factor on the pressure is 3 (instead of a safety factor on the thickness) (580 kg/m)
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