practice_quiz2 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING CAMBRIDGE, MASSACHUSETTS 02139 2.002 MECHANICS AND MATERIALS II SPRING, 2003 PRACTICE QUIZ II Distributed : Wednesday, April 28, 2004 This quiz consists of four (4) questions. A brief summary of each question’s content and associated points is given below: 1. (15 points) This is the credit for your (up to) two (2) pages of self-prepared notes. Please be sure to put your name on each sheet, and hand it in with the test booklet. You are already done with this one! 2. (15 points) A lab-based question. 3. (20 points) A set of 4 short, straightforward questions about plasticity. 4. (50 points) A longer problem on fatigue crack growth and fracture. The last 2 pages of the quiz contain “useful” information. Please refer to these pages for equations, etc., as needed. If you have any questions about the quiz, please ask for clarification. Good luck!
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Problem 1 (15 points) Attach your self-prepared 2-sheet (4-page) notes/outline to the quiz booklet. Be sure your name is on each sheet. Problem 2 (15 points) (Lab Problem) A strip of 2024-T4 aluminum alloy is 3 mm thick and 30 mm wide. Material properties for the alloy include E = 70 × 10 3 M P a , ν = 0 . 3, and σ y = 300 M P a . The strip is to be bent over a solid circular cylindrical die of radius “ R ”. Answer the following questions: ( 5 points ) What is the smallest value the radius “ R can have so that the strip of 2024-T4 aluminum fully springs back to its original shape after having been wrapped around the die? ( 5 points ) The aluminum strip is bent around a die having outer radius R = 30 mm .
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