HW7 - HW 60 5'47 Fm%flflfc;fi7n 6~43 c 4,— 0’...

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Unformatted text preview: HW 60 5'47 Fm?%flflfc;fi7n 6~43- c _ _{_ 4) ,— 0’ LX" E‘Ex" "lg-K (3)11“ 62) Z“. wig-“(AffifioX/D )- —-EE-(_2WX(0‘+ 0 ) : aaozgf @ an %W¢n (5“?4 I é! : 295?" 737 6x1“ 62>: é-(mefi) ‘“ “Elam”? 0 > : woo/0’1 (D m M. 36%: E: [83“? Grok m 2. A piece of ductile metal is confined on two sides by a rigid die as shown below. A uniform compressive stress oz is applied to the surface of the metal, and it may be assumed that there is no friction between the metal and the die. Furthermore, assume the material is isotropic linear elastic with a modulus of elasticity of E and a Poisson’s ratio of v. Determine expressions for the following in terms of oz ,E, and v: a) b) C) d) e) The stress in the x — direction The stress in the y — direction The strain in the x — direction The strain in the y — direction The strain in the z - direction rigid die 7h“ M M “for/5°“ :41 My. W Madam 6x : o WfTfl-ML 0"- 5073A Sides HI t/Lg j Main: 23 : o ”LE-V66)-i6~—162 23 2 E fl f£ x'l' 2 — E j E. 6.3 : ’1) 62 ENS/f. OMEFMLIIE U12 W‘timfl firm 05C {J‘r‘nd D; U)! ZMA :0 : —80x4 "f 9/.11 Dy: 26‘67 bi: 1‘ (a) ad W beam the-{#1 505%": E) MB f 5, ll; fl 2F)!” 2 Dy‘ B] By: Dy: 26.67%‘1, 8;! 6f ' TD], ZFxt-O Z BX BX : 0 Elvis“? Z—MB‘FP/r6 H MB: 6x 25.67: léO-ft'l/b (5) out Um {rem Jaw}. £59?ch C {smiling a4 aém) zfyzo : Pyicy g: 26.67% J, Mt __———-—-—""'""‘_'“ C . L— D C P 2' Y :M‘lio '3 ’ Mc+ 17/‘3 (5’) a 5ft :Aj— j: @fiffi Mt :A3” '27 ”i *2 so 1‘ A3 — 5° X 5 Aj : 300b,; Swami? mommE «Enact PME A EMA:0 : MA ‘ I: mm 'X olx IMA’J;1[:(O(—6)-9(0(X :MA—i%(ré:*3xl)l: 1‘- MA " 3°” MA ; Eoooftwb U.) 6 (X g [:2 C 3000 — 309% v 1.6 [00 EH: 2 300~V- o “(g—id: 2 Kné = - v — %z a v : 300 - BBS—(IX—6): Z —-:%7(1+1009( “fl ZMC : O = 300“ ~3000 “M —— j’f‘ l°°7tr.(9(-6—IC).0(7(: ‘- —'300?( 3000 M“ (“A-6) )Ij‘f-IQST ”at“: +jai-éé [an :1: pH; : 3009(" *3000 —-/b|— TCX“ 6); 25X; + 50%?- “24-00 Mz—q 91:07 ogxgs (OF-{Admin ALWNLA bozo V: [NM‘LC =C1®x=m v13“; MZJZ'V'AXJ‘ C2 1 3001+ CZ @X:0, M:_3ooo _ M:<Beo'><— zoomfi-w a) a) Few 5<’X$ 12 w- - '°6 (X—é) ”Ejjmxj :ji'i°6:(x 6)0{X+C3:—- g’xz—f'oo’X-f— C3, @sz, v:o V:-£§%2+Ioox M: jfiV-AHQ : jf(—igx1+roox)-M +C+ :—-2-;?5—x3+ 50X2+C+ @ Fm“ m ”X: , M24200 -55 -pm: —%x63+ SOXGZ+CT A is _-C 3% ; ‘ emu; I f5 6 :2 I . I ZMA =0 :2 Bj-clsww— (Wm-(4:; 83 Z. 133~3 U? T )x (8% 313’.) :5 :0 .: (goth/mam ~Aj m 53 Aj : 667 U) M rebut C J,ch 1E 7g @ @2A3:[email protected] MC : Aj-gin :667Z5' 81‘" : $53.5lh-(,£ ' . 50M. MFW D: E::Egpm , A3 7 , VD ‘ ._ L :: - | Lb (VD : Afl # gow/l-njtq—m :366765 20?“) I35 3 ---,_ . £4431"; Mp: AJ' '1'" 50%H" z :1 4.00 5" ”(/6 7—122. I @m F-BD in dab/(m w Mm; ZMA':0 a—Af-SSOYIB + 5ny + foe—max” .\ By: 2250 (A? T I 25/30 2 “4650 ‘f’ 3/ +A)’ —j: {ooxzdx , : A/ :: 6050 LL, 1‘ ' _'<4009(3- WOW) 3 :_ ~27oofb Lb _ O ' . CF? 31;) At Yal‘t C__ . 3 = Mom Mb We MC? :mz- (64(de + 60001:, - aft 7“Z-Z4- PM F-BD 4M m EM; 0 : 6000N-6m + 20X103N‘m + 35' 61m -(4090%-6m)- 3m -(—'1-x4ono% -6m)- (6"‘+§l’(6m) gj : 18,667N f 111 :. o z '- 6000” + “3 Jr BJ ’ (”WWW ‘EMWW '6'") Aj :. 25,355 N T WM W W a; TMIA owl paid 5. Mfizflomm — 61w 6m : ~56'kN"m Mb :_(Jix4|e% -6m)x(~;—x6m) : — 24kN~MA 77% W W S/uw 19m). W My mam-ms; 5L9” 19M“ -. 10hr!“ PEI—3%: 5h: 23,3594 [8.66m :73!er I: IZRN ‘ 5W - 6.67M! jokum 43m.» 424 m '56AéN—m ...
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