CSE-MAE 2313 Exam03Sol

# CSE-MAE 2313 Exam03Sol - CE 2313 MAE 2312 Mechanics of...

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056 CE 2313 / MAE 2312 Mechanics of Materials Examination III April 26, 2007 Name: _______________________________________ There are 4 numbered problems on this exam. The relative weight of each problem is provided in parentheses immediately after the problem number. Time allowed for the exam is 80 minutes. Read the problems carefully and don’t waste time doing work that is not requested. Problem statements may include information that you do not really need. Provided values have at least three significant digits even when not expressed that way. Draw Free Body Diagrams (or other diagrams) when appropriate!!!! Show each problem solution in detail. Test credit will be based primarily on your solution method rather than your numerical solution. If you are filling each page, you are probably doing too much. If you do need additional space for a solution ask for a blank sheet of paper. On that sheet, write the 3 digit test ID in the lower right corner and clearly identify the part of the test you are working on. Formulas 3 3 12 12 x y A bh I hb I = = = x y h b C z z M y I VQ It Qy A σ τ =− = = ' '' cos 2 sin 2 22 sin 2 cos 2 2 xy xx y x y σσ σσ θτ θ σσ τθ +− =+ + 2 2 1 2 2 2 tan 2 2 xy p xy xy = + ⎛⎞ + ⎜⎟ ⎝⎠ + 1.5 req'd allow max allow max allow max allow web I S c M S V A V A = = () 2 2 2 2 dd v EI w x dx dx v EI V x dx dx dv M EI dx = = 222 0 6 xa Pbx vL b x EI L ≤≤ 0 32 6 Mx vx L x L EI L + 3 2 24 wx L x L EI + P v x a b L v x L w v x L M 0

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056 1) (20) A point P is in a state of plane stress. The diagram at the right
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CSE-MAE 2313 Exam03Sol - CE 2313 MAE 2312 Mechanics of...

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