HW_Week02 - AAE 352 Summer 2010 Homework 2 Readings/Media Problems Problem 4-1 Four rod elements are attached to each other to form a single

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AAE 352 Summer 2010 Homework 2 Readings/Media Problems
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Problem 4-1 Four rod elements are attached to each other to form a single structure as indicated. Note that element 4, although it is shown slightly below the other three elements, is actually in-line with the other three, but connected only at nodes 1 and 4. Develop a matrix method analysis model for this structure. Clearly show the 4x4 system stiffness matrix and the restrained stiffness matrix. a) If element 2 is heated 100 degrees Fahrenheit, find the stresses in each element. Be sure to specify which elements are in tension or compression. b) If elements 1, 2 and 3 have no temperature change, but element 4 is cooled 50 degrees Fahrenheit, find the stresses in each element.
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Problem 4-2 Four springs are assembled as shown. Nodes 2, 3, 4 and 5 are restrained to be zero. The angle θ is 45 o . Two different axis systems are shown. Use the global system numbering shown. a) Solve for the 2x2 restrained system stiffness matrix in terms of the x-y system when k
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This note was uploaded on 01/18/2012 for the course AAE 352 taught by Professor Chen during the Fall '08 term at Purdue University-West Lafayette.

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HW_Week02 - AAE 352 Summer 2010 Homework 2 Readings/Media Problems Problem 4-1 Four rod elements are attached to each other to form a single

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