MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MATERIALS SCIENCE AND ENGINEERING CAMBRIDGE, MASSACHUSETTS 02139 3.22 MECHANICAL PROPERTIES OF MATERIALS PROBLEM SET 11 ASSIGNED MAY 7, 2003 DUE MAY 13, 2003 1. (2 3. A piston, 9 cm in diameter, is used to increase the internal pressure in a cylinder from 0 to 50 MPa. The cylinder, which is made of peak-ages aluminum alloy (yield strength = 500 MPa, KIc = 35 MPa m ), has the following dimensions: length = 20 cm, inner diameter = 9 cm, and outer diameter = 11 cm. This piston-cylinder arrangement suffered a malfunction which caused the cylinder to burst. Post failure analyses showed the presence of a defect in the form of an elliptical flaw 4.4 mm long at the inner wall, 1.5 mm deep an oriented normal to the hoop stress in the cylinder. Compute the magnitude of the pressure at which the cylinder
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