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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