In this structure, it has three beams 1,2,3 of length 3L. Beams 1,2,3 have a cross section area A, A, and 3A respectively. Beams 1 and 2 have a Young's modulus 3E, while beam 3 has a Young's modulus 2E. The beams are attached to some roller supports on the left and right (ignore the size of the supports). In the middle, the beams are attached to a rigid beam, which always stays perfectly vertical, and its width and mechanical property is neglected (serving only as a joint). The system is initially free of any stress. A distributed load of wintesity w0 is then applied (over a distance L) on the middle rigid beam. Calculate the normal stress in each member in terms of given variables.
In this structure, it has three beams 1,2,3 of length 3L. Beams 1,2,3 have a cross section area A, A, and 3A respectively. Beams 1 and 2 have a Young's modulus 3E, while beam 3 has a Young's modulus 2E. The beams are attached to some roller supports on the left and right (ignore the size of the supports). In the middle, the beams are attached to a rigid beam, which always stays perfectly vertical, and its width and mechanical property is neglected (serving only as a joint). The system is initially free of any stress. A distributed load of wintesity w0 is then applied (over a distance L) on the middle rigid beam. Calculate the normal stress in each member in terms of given variables.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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In this structure, it has three beams 1,2,3 of length 3L. Beams 1,2,3 have a cross section area A, A, and 3A respectively. Beams 1 and 2 have a Young's modulus 3E, while beam 3 has a Young's modulus 2E. The beams are attached to some roller supports on the left and right (ignore the size of the supports). In the middle, the beams are attached to a rigid beam, which always stays perfectly vertical, and its width and
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