Midterm+II-W-07 - ME 382 Winter 2007 Mid-term 2 Monday...

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1 ME 382 Winter 2007 Mid-term 2 Monday, April 2, 2007 This is a closed book exam; students are allowed an unmarked copy of the ME382 data book. Answer all questions. Show all calculations for full credit. Answer all questions on this exam. There are a total of 11 pages to this exam. Use a ruler / straight edge to read from graphs! Name: Section: Honor Pledge:
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2 Question 1 (a) A high strength aluminum alloy panel (show below) is to be designed to support a load of 5.0 MN. The length of the panel is 6.0 m and the width, W , is fixed at 1 m. Only the thickness, B , is a variable dimension. Because of the size of the panel you are required to assume that a through-thickness, center crack of length 2 a = 25 mm might exist in service. You have the assignment of designing the lightest structure possible that will carry the required load with a factor of safety of 2.5 against net section yielding and a factor of safety of 2.0 against catastrophic fracture. You have two materials to choose from 2219-T851 Aluminum Alloy and 7075-T651 Aluminum Alloy. The properties of the alloys are given below and you may assume that the density is the same for each. You may assume that K I = σ ( π a ) 1/2 . You may also assume that plane strain conditions exist for any
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