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437_Mechanics Homework Mechanics of Materials Solution

437_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 4.177 A beam of unsymmetric cross section is subjected to a couple M0 acting in the PROBLEM 4-177 horizontal xz plane. Show that the stress at point A is z], —- I _ _:_}:_J2’_z_ My IyIz q 1y: where 1?, 1,, and 1,, denote the moments and product of inertia of the cross section with respect to centroida] axes, and My the moment of the couple. SOLUTION The Stvess 63 vam'es pineal»- L wH'L He CooMMafas j and 2- Since. +- e made.) 430ch is zero "Hue. U‘ and 'z-o‘xes are J CQM'I'V‘OI' 914.2 0.): es. : Cty + C12 when». C. awe-J C1 0LM cows-tawé-s. M1: {3,61% = 4.332% m CESJZAA : ‘12C. ‘I-Jr—Cz ...
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