The circumferential stress, , (also called hoop stress) in a pressurized cylindrical vessel is calculated by the equation =Prt=Prt , where P is the internal pressure, r is radius of the vessel, and t its thickness. Assume a vessel of 38 in. diameter, 0.25 in. thickness, and having an internal pressure of 5000 psi. Use Table 7.1 for properties. (Use Y = 1.0 and assume center crack geometry.)

What would be the critical crack length if the vessel were made of alloy steel (17-7 pH)?

The critical crack length would be in. (Round the final answer to four decimal places.)