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# HW-01 - VK 250 Summer 2008 Homework 1(Due on Friday July 4...

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1 VK 250 Summer 2008 Homework 1 (Due on Friday, July 4, 2008) 1. Engineering stress-stain data are plotted in the figure below. For the initial portion of a tension test on 7075-T651 aluminum. Note that data points A and B are labeled with their stress-strain coordinates. (a) Obtain an approximate value of the elastic modulus E . (b) If a sample of this material is strained to point B and then unloaded, what is the plastic (permanent) strain that remains after unloading? (c) If a bar of this material 150mm long is strained to point A and then unloaded, what is its length at point A and also after unloading? (d) Repeat (c), but with the bar loaded instead to point B. 2. Callister (Textbook, 7 th edition), Page 170, Question 6.28. (only solve (a)~(e)) 3. Callister (Textbook, 7 th edition), Page 171, Question 6.37. 4. Show that when a material deforms by conserving its volume ( i.e., A 0 l 0 = Al) , the energy absorbed per unit volume is the same whether expressed in terms of nominal or true stress and strain; i.e ., σ n d ε n 0 ε n = ˜ σ d ˜ ε 0 ˜ ε

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