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816_Mechanics Homework Mechanics of Materials Solution

816_Mechanics Homework Mechanics of Materials Solution - :1...

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Unformatted text preview: :1 7.63 Forthestazeofmmshown itis knowuthatthemnlandshearingsu-esmare PROBLEM 7-63 directed as shown and that a, = 14 ksi, a, = 9 ksi, and a“. = s ksi. Dctmnine (a) the orientation of the principal planes, (b) the principal sums a... , (c) the maximum in- planc shearing stress. SOLUTION H lean“) 6‘) =9 teal-J 61...: a'C67.+§ 3.- ”.5" 1a.; 6nd») = luff. .- fi '1 R = 6m»; ‘- 6M:M =1 11.5—5 =‘ 6.5 ks; R = (54—51; Y‘ + 1:; 113 = 351/ 12“- §gfirr = i1/ 95* -.2.5’- = a: e la..- 80+ H is given "“163 7.1:, is Posi‘Hve J Hm: 1’3 = +6 ((53 1’3 (ks?) L 243‘ fl (:1) +4.“ 29,. e éfigy l (2X6) __ " 5 ' 2-“ E E ‘ €7.33" ‘5 ~ 6‘ 33.6?” {Cf 9., I23.cq° ‘1 E (a 6...“:- 6.4+? '1‘: . . - = 13 ksi L; 1” CC.) fthSm-phul: R .-—— =‘ 6.51!“ 1. ' _ __J 5' 1"""1 {hi 3 ar— ...
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