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875_Mechanics Homework Mechanics of Materials Solution

# 875_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 7.134 through 1.137 The tbllowing state of stain has been measured on the surface PROBLEM 7.137 of a thin plate. Knowing that the surface ofthe plate is mutt-used, detemine (a) the direction and magnitude of the pﬁneipal strains, (b) the maximum in-plane shearing 3mm, (c) the maximum shearing strain. (Use v = % } E,:*300/4 SJ r—Zoo/a YU:+'7S/” SOLUTION Pjoﬁed Pain)“, W04) . _ x. (-30011, 825,4) Y: (- ZOO/ug-GSZSA) C1C—250/u, o) ‘8 y a 7.5 "hm 29‘, 2“ 5,0 29f, = — 60.16 x 95 2‘30.]3’ -‘ 39.!5' 9o, 7 5187" "- b R * {(5014)‘ +(37-5/4)‘ -: 100.8 (a) 89.: Emn+ ’R = —9\50M'| ioO.8/4 r —f47.2/4 4 EB..- Emn._Q r "2wﬂ-looo8ﬂ I: “3.51/4 " (b) Y‘mmcin-r.f.‘.\ ‘: 2R 2 20’.G A v“ -/ ac = ———I_“’u (5.1+ 80 r ——-—-—~,f’y (aw-Edi = — iv: (-30% “20024) I + 250 ,u, 4 2'50” Emit. = — 35' H 250/4 + 35/}! = GOl/u i" "7 ...
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