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818_Mechanics Homework Mechanics of Materials Solution

# 818_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM7.65 7.65 (a)vaethatthecxpressiona;q,-~ 12.), ”win-ea“ 0,, and: a, compmentsofsu'essalong therecmngularmxy 'andy’ ,isindependmtuf: orientationofthweaxw. Also, showthatthegivenacpmsionrepresmtsthesquareof the tangent drawn m the origin of the coordinates tn Mohr’s circle. (1:) Using the invarianoepropertyestahliahedinparta, exprmtheshem'ingstrus gintermsof‘q. 05,, andtlleprincipalsuusesqmand% (a) From Molar“: circfe ﬁ’j’ = R 5;" 29f 6,9‘ = 6'”: + Vans 26? (if = 640: "" 9 cos 29’; 2 @JGJ'— 21:14 = 6:5; — R’cos‘zer- 2’sxn‘2el, = 62.»: - R: 3 I‘nolepemfen‘i'la; 9],, Draw pin: 5? Prom otﬁ'gl‘n +1.an1 +0 'Hne cva‘wcje of} K. Tw'canle OCK \s a N3“ 'h‘ltwjlt 6: 61:1 "' 6:qu 6mm :EW/ 6;, 5'3, — 62..., 6'...-., The sijn canno+ Be alder-Minecf 43mm alum: aqua/hank ...
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