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HW-06 - VK 250 Summer 2008 Homework 6(Due on Friday August...

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1 VK 250 Summer 2008 Homework 6 (Due on Friday, August 8, 2008) 1. Callister (Textbook, 7 th edition), Page 246, Question 8.6. 2. Callister (Textbook, 7 th edition), Page 247, Question 8.10. 3. A cylindrical pressure vessel has an inner diameter of 150mm and a wall thickness of 5mm, and it contains a pressure of 20MPa. The safety factor against yielding must be at least 0 X = 2. Also, a leak-before-break criterion must be met, with a safety factor of at least a X = 9 on crack length (if we call the critical crack length to be c c , this means c a c X t ). (a) Is the vessel safe if it is made from 300-M steel ( Y σ =1740MPa, IC K =65MPa m )? (b) From ASTM A517-F steel ( Y σ = 760MPa, IC K = 187MPa m )? (c) What minimum fracture toughness is required for the material in this application? (d) What safety factor on K to IC K (i.e. the value of / IC K K ) is accomplished by the a X = 9 requirement? 4. A company sells 100,000 widgets made out of SiC. The Weibull parameters are m = 10.0 and S o = 100 MPa (with V o = 1.00 m 3 ). The widgets have a volume of 5.00x10 -5 m 3
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