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Unformatted text preview: ASE 365Structural Dynamics Name: Dr. J. K. Bennighof February 26, 2009 TEST 1 This test is closed-book, except that you are allowed to use one handwritten two-sided sheet of notes that you have prepared. Do all of your work neatly , with each problem beginning on a separate page. Clearly designate each of your answers with a box or circle. When you hand in your test, place the test handout, with your name on it, on top, followed by your work, with your sheet of notes on the bottom. Staple all pages together. Problem 1 (30%) Mass m is supported by a uniform simply supported beam of length L , bending stiffness EI , and negligible mass at midspan, and its motion is resisted by dashpot c . The midspan deflection of a simply supported beam under a concentrated midspan load P is equal to PL 3 / 48 EI . (a) Use a free body diagram appropriately to derive an equation of motion governing the upward displacement y ( t ), where y ( t ) is measured relative to m s position when the beam is not...
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- Spring '10