HW5 - ⎥ ⎦ ⎤ ⎢ ⎣ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − = 2 cos 4 3 1 1 2 1 2 2 4 4 2 2 r a r a r a r

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MAE 3250 Analysis of Mechanical and Aerospace Structures Fall 2009 HW# 5, Due: 11:10 am, Monday, Oct. 26th 1. A composite member is made of a hollow steel cylinder shrink fit over a hollow steel rod ( 210 = E GPa and 28 . 0 = υ ). The outer radius of the cylinder is 6 cm, and he inner radius of the radius if 2.5 cm. The outer radius of the steel rod is 2.505 cm and the inner radius is 7.5 mm. The lengths of both are the same. a. Compute the interfacial pressure. b. Compute ) ( r r σ and ) ( r θ in both cylinders c. Use the MatLab to plot results of part b for ) ( r r in both cylinders on a single set of axes and the results for ) ( r in both cylinders on a separate set of axes. 2. Consider a plate with a hole in the middle as shown in the figure, we have shown that
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Unformatted text preview: ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − = 2 cos 4 3 1 1 2 1 2 2 4 4 2 2 r a r a r a r , ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + = 2 cos 3 1 1 2 1 4 4 2 2 r a r a , ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + − − = τ 2 sin 2 3 1 2 1 2 2 4 4 r a r a r a. please use MatLab to plot / ) , ( a r , / ) , ( a , / ) , ( a r b. please use MatLab to plot / ) 2 , ( π ± r r , / ) 2 , ( ± r , / ) 2 , ( ± r r 3. Problem 4.37 in the Book, Page 171. 2a x y σ 0 σ 0...
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This note was uploaded on 10/02/2010 for the course MAE 3250 taught by Professor Gao during the Fall '10 term at Cornell University (Engineering School).

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