Question

A 2.4 n diameter solid aluminum post is subjected to a horizontal force of P 9.5 kips, a vertical force o P 23.1 k ps, and a concentrated torque of T 4.5 kip- acting in the directions shown. Assume L 4 n. The yield strength of the aluminum s σΥ 72 ksi, and a minimum factar of safety of FSin 1.87 is required by specificatian. Consider paints H and K, and determine whether the aluminum post satisfies thae specifications according to: (a) the maximum-shear-stress theory, b) the maximum-distortion-enery theory. H K Answers: a) Maximum-shear-stress theary 2.0577 57 FSx Accepatable? (Yes-1, No-0) (b) Maximum-distortion-energy theory 513 746 Acceptable? (Yes-1, No-0)

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Answer #1

diametond)- 2.4 in 千 てxy - 23.1 TTd3 22.893 FS 452千 сху.._id3 m(2.ayS AXa.S man乏Hー-|9.831 KSI て GmaTE: 22.952 KSİ てmx 4 = 17.234 KSİ 12 2x 22.9S2 2x 14.284 Hence noat acceptable FS 42 구2- H231) FS F.SH2.

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