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hw28-10sol - WM*1 aoumom\D 353(Jami 96w 3 923.0575 ”6/5...

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Unformatted text preview: WM *1?) - aoumom \D 353 (Jami) 96w; 3: 923.0575) ”6/5, Eku \O.‘000\u} (:1: 0.000400 “Vt/U 143/va052??? (36' “‘0 0C 13“"? “A \CmD; 0" Mi 6’1 CooumaN; \0 00.0% 71);)“;4‘) lLOfiGTXDyOOOTé» 4 0.3:- (00004 ~ (“0005“”)?- —— \o l 16' )3; Emmi) 6) " (WE/QT?“ U ”MW C “06?“ ~_ -ISVLQQ‘LE‘L. (o m )Lo 0001)] + 0.6 ZCmmm C 0.008%)?“ E 6 (WM) 1v)[\““yjéa+ VCC’) “ €731 OOQ s C 7 “O “ (oujbuooo‘éml) + 0.66L0_ooo68 t 00004)) “ Q66) )Co 4) U0 50.0600634g )0; 0‘3'50 \Ls; “H (6 (637‘- Win: \(64 (new WY‘C‘EMW 10—37. Determine the bulk modulus for each of 'the following materials: (a) rubber, Er = 0.4 ksi, v, = 0.48, and (b) glass, Eg = 8(103) ksi, vg = 0.24. a) For rubber: K = ___E’._.. _—_— __9i__ _ 3 33 k ' A ’ 3 (1 — 2 v,) 3(1 — 2(0.48)] _ ' S‘ “S‘ b) For glass: E 8 103 . K g ( ) = 5.13 (103) ksi Ans. 8 = 3 (1 — 2 vg) = 3[1 — 2(0.24)] 12 ksi 10—38. The principal stresses at a point are shown in the figure. If the material is A- 36 steel, determine the principal strains [0'1— v(a2 + a3)] = W{12 — 0.[32 [8 + (— 20)] I}: 546 (10*) mile) 82:;15-[02— V071 + a3)]=§9f()—1(—1—03—){8 — 0.[32[—12+<20)}364(10"5) 1 1 s3 = EM - v(cr1 + 02)] = m [—20 — 0.32(12 + 8)] = —910(10*‘) — 546 (10-6) em, = 346 (10—6) em = —910(10—6) Ans. 8max ‘— Q L L=\°0m *———- «DZ—*w—"x A; 10% 1’: \SN yzom Ex: 03000011533 FM) E ‘ Gl‘ c, \ ALMA Soumm) - .2 - P38: 1 : 47,7417N/M1 =- 41.147 \kpa 1‘ 0. u 0} =85 “/75“! J5 495 \ fl / ex ' i 101 V971 7/2“ * ’l H)“ \2 = E —. 4"” : n 3102000 \qu 2 my; coal 6,. 0,00000115 ' G: E : \T.${o GOA : 1.0L C194 EY —_ 6% z -1, 6x 44.13) {0.00000115 “fl : -O.0000001,‘515*—”5 M ARA 1‘ & 4’ Ex, (OK) : (LOW “' k‘OAOOOOOO (4315) (10 M\ : \q'qc‘c‘c‘g-(MM 3 Q :1 Cu +97 Jre,‘ = 000000115 + 1 L— 0,000009L’blfl :_ 0‘0000m4‘6512 ;_ \A‘énb'“ L“: M ALMN‘WW‘ VWJ = 1r (ml-mi 000 ”A: «$53 “3 VW « tr + efl cu m = T{ L\0 MM ' 003151W'1)(\0MM\11hoot,“ $(115‘\0'b\)(\00 “WAX : u‘mSMQLBE M3 \Jw’vfi :4 _ m‘msamsw— NAM u.) g = _.————i<- . 3 WV»: mlmsflm M “'5 = \A‘aauo“ '—‘-., ...
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