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HW9_soln - 94 01 A N HR a New AIS ‘045(CL Pb“ 09561?...

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Unformatted text preview: 94 01: A N} HR a New AIS]: ‘045 (CL) Pb“? 09561?» cm Jog—log wanna/mfg; arnd draw a; 5+kai3h+ \fme,+ifik0wt§)ld +he clad-a, A:35O is Ta im‘l'ekccpf CUL N—F: i, Calcula‘fe B from (1.5640416) P17 OM “me 75"” ‘9 ) 203 N; _ [mp/0185A) ._. 4,0247 3— ' [0500 7 _ -—0.08€7 UQ:SSO(N4) MP6: 4 (b) 00 a lens z‘- sguares fit; N; C/c’peMC/GMZL ’/B _ EL N; '(A) 7776 mesa/hwy (OMSch/H‘hs are (rm 2 -— [OH/é, ) B = l/ma = “0.051%! c; -: 32,15 : lag, :7; {043: A = 3’8! MPa. N~0;O‘Hé MP 2w0[ CHMPGL Uazfigf 4' q 4 /000 N-F) Cycles (C) (If =A/2_b : 884/2—009/4/ b=B=- 0:0?/é 2: 93 9 ”7/00. 04:73? (ZNf)”0’09/6 MP0, 4 ii 0;: A A143 R©C~Ioo s‘l‘eel. (a) Plot da+a cm log—109 Coordz'ma+é=5 and draw a: Efraighf lid/m f/amwgh +1059 dam. C{moo (M $20) A 0-o g ‘ /\4/ (y; /es ’ 00————J——__—l.___.__L—__.J.____.L_____J ’ I )0 m" 103 104 IDS ’04 A:5’ZO is z‘mfer-ce/of a{ N? CalcuM‘h—z B fiL-korm a 5650445! poi/wt. 921...? 8 A [a (OZ/A) A «N; 6—W g : 22.1Lf..._00_._/W5m2 O... 9;... .. ._ o 0520 (09 ( /0 5) ’ ' 63.1820 “19—00526 MPQ (1?) Lens“ Sguares ff}; /V)c depe/ndewz‘. =3, l (7.5) p2) The resu’lv‘v’mg Cams +5144 +3 are m4=—-/'7,5‘72) C:51.S+3 8:: ’/444 ="0,056845 CB C:’% log/L A: IO— = 35M) MPa Oa=€§S//\4:O’0568 MPa (0 qc’2A/2b: €35 Mpg b:B:-0.0568 022:385 (2N9 005‘? MP5: ié Q—q -: A N48 ) SRIM compos/‘fe (a) P/a?‘ 5/ng 044 /09—/og COG/’d/Mfl/PS a/rm’ draw a Siva/”952‘ //’Vle +hkowgh ff. 1007 —— U) 7—flwo [Tfiw w 70 (2) ‘ F l I I /_0 /o2 A93 m4 /05 x06 /0" _ N79 (ya/es Read +w0 pain/11‘s from {We //me ,- (A?) 0;) (I) (3520/ MD) [2) (/03 3%) Oj:A/\I,B) O‘er/Vzgj H52 Ema/(a) ‘ My 0‘, — Mg 0; /pg mp — /0y :4” 759 N, * ”29 N2 “ My 300 */oy m7 B : -' 0, /036 _ ' 07 mo Mpa / . = __ =».——_——— = gag Mp4 A N18 300 01/036 -- ./ OZL=/$’0/é/\_/F 0 ”3‘ Mpg (9.6, ,9. 2) (b) Leas'f— Sguakés 757+; A? depewa’emz- N4.'=<%>V8 My M; :84 /0j03 ~é/09A L——-—-V-/ WW >/ “:“m '2’ 1» C 7778 resy/f/‘mg (9745 fax/y; $5 an: 777 : ~ ‘7, 2&43) 6: 2o, 7/3 A=/p“ = $734 MPG. 9.32 For given data on 2024-T3 A1 at various R , and for data of Prob. 9.7: (a) Calculate and plot oar vs. N f for the SWT equation, and include the fitted line for R = —1. (b, c, d) Repeat for equations of Goodman, Morrow with ('93, and Morrow with 0"f. O-ar = V 6max 6a (SWT) 6 Car =-—q-‘* (Goodman) 1—0,” lou ‘ 6 6a,. =—-a—~ (Morrow 81(3) l—Gm/GfB 6 0,, = ——‘1——— (Morrow o’f) 1&0,” /0’f Numerical values and plots are on pages that follow. SWT correlates the data very well. Goodman gives a poor correlation, being overly conservative for positive R. Morrow with 6/3 is reasonable but inferior to SW 1 . Morrow with o'f is grossly nonconservative. (51-32, 19.2) 0', b 60 0,, 5.3 Allcin MPa 1749 -o.1591 359 497 610 Morrow Morrow SWT Goodman (513) (0'5) R Nf: cycles C$max Ga OIm O-ar car Car Car 0.60 252,000 469 93.8 375.2 209.7 382.7 243.7 119.4 0.60 520,000 459 91.8 367.2 205.3 351.5 230.6 116.2 0.40 85,000 448 134.4 313.6 245.4 364.2 276.6 163.8 0.40 144,000 414 124.2 289.8 226.8 297.9 236.6 148.9 0.40 351,000 372 111.6 260.4 203.8 234.4 194.7 131.1 0.40 701,000 345 103.5 241.5 189.0 201.3 171.3 120.1 0.02 30,000 448 219.5 228.5 313.6 406.3 351.0 252.5 0.02 60,000 386 189.1 196.9 270.2 313.2 279.3 213.1 0.02 85,000 362 177.4 184.6 253.4 282.2 254.4 198.3 0.02 156,000 310 151.9 158.1 217.0 222.8 205.0 167.0 0.02 355,000 260‘ 127.4 132.6 182.0 173.8 162.8 137.9 -0.30 24,000 414 269.1 144.9 333.8 379.8 352.9 293.4 —0.30 67,000 345 224.3 120.8 278.1 296.2 279.6 240.9 ~0.30 132,000 310 201.5 108.5 249.9 257.8 245.1 214.8 -0.30 353,000 241 156.7 84.35 194.3 188.7 181.8 164.6 -0.60 6,200 448 358.4 89.6 400.7 437.2 420.1 377.8 -0.60 18,200 372 297.6 74.4 332.7 350.0 338.9 310.8 -0.60 43,000 331 264.8 66.2 296.1 305.5 297.0 275.2 -0.60 112,000 276 220.8 55.2 246.9 248.4 242.8 228.0 -'0.60 172,000 241 192.8 48.2 215.6 213.5 209.3 198.3 -0.60 231,000 207 165.6 41.4 185.1 180.6 177.7 169.6 -O.6O 546,000 190 152.0 38.0 169.9 164.6 162.1 155.4 -0.60 1,165,000 179 143.2 35.8 160.1 154.3 152.1 146.2 -1.00 8,000 379 379.0 379.0 379.0 379.0 379.0 -1.00 13,100 345 345.0 345.0 345.0 345.0 345.0 —1.00 53,000 276 276.0 276.0 276.0 276.0 276.0 -1.00 306,000 207 207.0 207.0 207.0 207.0 207.0 -1.00 1,169,000 172 172.0 172.0 172.0 172.0 172.0 R = - 1,000 521.9 521.9 521.9 521.9 Fit 4,000,000 139.5 139.5 139.5 139.5 00000 (q.32) P03) 1000 (B n. 2 6" E 2024-T3 A! 1 00 1.E+O3 1.E+04 1.E+05 1.E+06 1.E+07 Nf , Cycles 1000 m a E 6“ C at E 'U 0 O (D 2024-T3 AI 1 00 1.E+03' 1.E+04 1.E+05 1.E+06 1.E+07 Nf, Cycles 1000 2024—T3 Al N n. E 6“ S B 2 100 1.E+03 1.E+O4 1.E+05 1.E+06 1.E+07 Nf , Cycles 1000 2024-T3 Al :5 n. 2 a" E ‘6 2 using 6} 100 1.E+03 1.E+O4 1.E+05 1.E+06 1.E+07 N,, Cycles 9_-4_Q A151: M42 sfeeLJzt—so H13 03.115245 <71: 1757, Azl<a37 Mpg.) 8:—0.0762 50!;‘0’ Circular- Shaft d=30 WW) loaded Zero +0 T: 270 @Nvm, #3 6:. : FT 791;; “ng Y‘:\/§ (AT/”£2“: ”WW/2 gar: die—(awe MN 'rnXZ) . T(O.OZS/m)3 =7037 Mp0. - B —DIO7‘2 4., “MN :1\937(N+) = 705.7 MPa N = 705'7 ”O. 7 .— _g (.7337 0 ‘2 ._ 283,500 cycies ‘ (17))(:? gyrifilr: ”Cm Wr=2mmfi ”Fax: 2_ (o. 020 MN '21:} “TN/2 [“3 “who (has/MP : 3’43 MP“ — r cr =__]Zg—_—OTZ’_TT_’T-__‘" f r2- x y) +08! 0;) +(Uz‘ cm +é(7‘,¢f+’i;:+"r;) GH=BEyJX¢2 E— m2112‘ A (TH WWW/3! MP0.) (C) N4: )(N N = 20 (100,000) : 2 mo" cycles 0" = B— m, We ~63”; r352: 4:42;: *— r=(_2__f3__1)‘/3_ [2J3 (.-OOH>MN ’M) T/s ”77—0837 M” ,mz)(2 wo‘f" 0762 I": O. 2 — O 63m-26,3rmm10‘= 52.54044” ‘ w Esf/‘rmqfe repeflflomj +45 {aw/Mire for“ (iii/em S'erss hl‘sfakx , 1:0!" 8426514 [QVGI o-F cyclimg) usimg SW73 Ca/cw/afe Np O‘xma :w - 57m:'m 0a: 2 2 Haw aflfl’y 5% 9'20 Vb , Jam 10* 077714204. :0; (ZNf)bj N£:Ji<— o—a/ a) 2024—T4 Al Stresses in MP3 G'f = 900 = -0.102' j Nj 6min Gmax Ga Nfi Nj/Nfi 1 20 1 10 290 90 1.03E+07 1 .95E-06 2 50 —50 200 125 1.27E+07 3.94E-06 3 1 -50 290 170 4.55E+05 2.20E-06 2‘. = 8.08E—06 8;: 124,000 repeh‘h‘oms B.f =1/2= 1.24E+05 4 2A1 E5+Mmdm.mwe+Hnmu hpfaflure Qor giveaa s+ress PH5+oPy,CJ§Pn9 fl4orroug calamari“: N; for ear/'4 level 01‘ cydfi’mfih (T ' _ I‘M 0m '1' 6. EM (Ta: Inna-x2 Inn ) 07444: 9(2) 444 , b _ l o; Vb G&:(5£“U.m)(2|\l¥)) 1Vé—‘2‘(_m%,_%> sfart 210 145 AISI 1015 steel Stresses in MPa o'f= 1020 = —O.138 Morrow j N] 6min cmax 6a cm Nfi leNfi 1 50 0 145 72.5 72.5 6.13E+07 8.15E-07 2 1 -95 145 120 25 2.27E+06 4.41 E-07 3 1 —150 210 180 30 1.16E+05 8.63E-06 2 = 9.89E-06 Bf =1/E= 101,138 4 (a. +7, ,9, 2) An alternate solution is to proceed similarly except for calculating the life N f using the SWT equation. 6 —C - oa=———‘“a"2 “‘1“, x/cmaxofio'flzlvflb /— M r .1 [— ’ 812% Nf _ 2 df 1 one rep AISI 1015 steel Stresses in MPa o'f= 1020 b = -0.138 5 W T' j N] (7min Gmax c5a N1] N j/ Nfi 1 50 O 145 72.5 8.49E+06 5.89E-06 2 1 -95 145 120 1.37E+06 7.31 E-07 3 1 -150 210 180 8.23E+04 1.22E—05 2 = 1.88E-05 Bf = 1/2 = 53,271 ...
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