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CES EduPack – Design Problem 2 Using Level 2, with Units set to ‘Metric’ and ‘Use Absolute Units for Temperature’: 1. Use the ‘Advanced’ feature to construct a graph of for an internal crack of length 2a = ...

CES EduPack – Design Problem 2 Using Level 2, with Units set to ‘Metric’ and ‘Use Absolute Units for Temperature’: 1. Use the ‘Advanced’ feature to construct a graph of for an internal crack of length 2a = 1 mm versus density (). Label the five materials with highest values of on the graph. 2. Suppose that the resolution limit of the non-destructive testing equipment available to you is 1 mm, meaning that it can detect internal cracks of this length or larger. You are asked to explore which materials will tolerate cracks equal to or smaller than this without brittle fracture. Make a graph of versus . Plot on the graph. Label the top five materials that will yield but not break, even though it contains cracks, on the graph. 3. Create a Yield Strength v. Density graph. Apply the following Limits: Yield Strength greater than 300 MPa, minimum elongation of 5%, and Density less than 3,000 kg/m3. Then use the ‘Properties’ button to modify the axes so that the x-axis has a range of 1,000 – 10,000 kg/m3 and the y-axis has a range of 10 – 1,000 MPa. Finally, label the remaining materials on the graph. 4. Valve springs for high performance automobile engines must be light to minimize inertial loads, since part of their mass moves with the valves. At high engine speeds the valves, if heavy, bounce out of contact with the valve itself (‘valve bounce’), impeding the flow of gas into and out of the combustion chamber. The energy stored per unit volume is equivalent to modulus of resilience of a material, i.e., . The energy stored per unit weight is then, . So the best choices are materials with the highest value of Make a bar graph with this quantity on the y-axis, and label the top five ‘best’ materials on the graph. NOTE: In order for the material to be stiff enough, it must have E > 20 GPa. In addition, engine operation temperatures can reach 200°C. Therefore, use a Limit of E > GPa, and a Limit of Maximum Service Temperature minimum of 200°C.

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