Exam - ME 382 Winter 2007 Final Exam Friday This is a...

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1 ME 382 Winter 2007 Final Exam Friday, April 20, 2007 This is a closed book exam; students are allowed an unmarked copy of the ME382 data book, but no other notes or books. Answer all questions. Show all calculations for full credit. There are a total of 14 pages to this exam. It is a violation of the honor code to discuss this exam before April 27 with anyone who has not taken the exam. It is a violation of the honor code to ask anyone about the contents of this exam. Use a ruler / straight edge to read from graphs! Where appropriate, you may assume that the acceleration caused by gravity is equal to 9.81 m . s -2 Name: Section: Honor Pledge:
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2 Question 1 a) A thin-walled cylindrical pressure vessel has an average radius of 200 mm and a wall thickness of 1.0 mm. It supports an internal pressure of 1.0 MPa and a torque of 24.0 kN . m, at a temperature of 600 ºC. The cylinder is made of a material that has a uniaxial yield strength of 500 MPa at 600 ºC. The steady-state uniaxial creep law for the material is given by ˙ " = 4.6 # 10 $ 4 % exp( $ 160 # 10 3 / RT ) + 3.5 # 10 $ 8 % 4 exp( $ 200 # 10 3 / RT ) /s where the stress, σ , is in MPa, the temperature, T , is in K, and R is the molar gas constant in (J/mol . K). Creep failure occurs when the strain reaches a value of 0.01. i) What is the safety factor in stress against yield?
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3 ii) What is the life-time of this component?
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