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MAE3800Test2_6 - Problem 5{25 points A Iwisfing mm load...

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Unformatted text preview: Problem 5 {25 points) A Iwisfing mm: load cell mensms Iha twisting momma, Mx. using twu strain gagas 5. I : la: —d;‘ ) = usx 104m“ placed on a cylindrical shaft. Idieslly the measurement should at“): amend by the shear force 1’; Physical 6“ limiealiws. howavur. make it impossible no oomplchely eliminate the influence by the shear farm The madam-ed “w = _F2 (5 “' ‘7)an ’2 =-5,dem’I-‘_ emm' 15 known as mass sensitivity. In this misc, you are m damning the arm msifiviry efrhe twisting (a) I ' momentload cell no a. 51m: force Fz. Thales}! cell and Ike strain gases are showuint’ac following figure. Thai 0 -F§L*do *3 _—5. ”X IG’F make 45° angle mm the am «mien ofil'ié cylinder. ”-3 1 = W16“ #1 5 (a)DeMnninelhamflmlmessoxallocafiunkmdBhytbehwdhgmmmtdmismmdbydumm (b)fv"='v35 2; “"4"“ “-1 F2. (Use the fm-mnln in beam bending) (0) At point A: (MWlimesheatsllm'cxymlocation2%mbdwalalmomemeJUsuhcfannuhinshxfiimfiim) _ ”01.2.4 __ i)!" [0) Assume Elm a; and fig: In 01: only was mmems In 0mm locations, calwlat: the slain oompmmts :3, ‘r ‘ E : 4.88: r Fm Wm13yata‘an5‘113- s,:~w dangle-“F. (:1) 6mm III: 5min: read by the two was In. and 511 E =2.59x|0“'Nm (sflfyoumuttommm thawislingmnmcm, lhnse mo gages simuldbe placpdalllw two idjmntnrmsln a whom Image: .Derivq'daemlnumhkp" mw'mjofflu-bndy' c'inmitWhNfl)andtheshm m”) mpgmmmmszn. y,,_,=%’I’=—4mxao"y Alldimnnnionure in'mmm. Atpoim B- Aluminum' mb'mg's: Inside dime»: 4i = 0.0183 In, a"; T6 , ours-ids dimmr 60: 0.021? m, ‘3 — E - “3-03 “10 1'. Modulus ofclasticity E $6.39 . ml“ Nil-n2. _ _ 3’ = we, = 2357x104}:I Pufsim‘s min v - 0.33 1' _ r9 = 1—31 a —4.40x1o“‘M. (d) g '8 5 + glsgxfozds"): ‘ ’+ ‘2_’(o)+—_1—‘H‘2‘M Jib—2.3411045;Fianna-“M, grins a a, +5 a), ng,.{a=135")= 2 ’+ ”(DHT’H—ngw'” 2 m ..1’2£".=-2.11on";;+2.2mr’u, (e) F3 Puinl ofrasuliam V Z rare: and moment application _ as. —83)=.5(—4.40)<10'5M! —0.l4x10“’5F,) (-ti malo— 1) FM M3 " 3} RNA 41: AT: wharf/‘11”? (5T3: MU an) {Haj m ”Hi; 5...». l: ‘5 6T"; . “\LBT)‘ {’n(DTn)+£1n{g t/t) L3“) 41an [w L bT‘J- - lnfib‘n] "WI . l5 mII I}. 3:) Y = 4i 4" El. 35:1: “fit 0 Sim m WWW low? rLt-Fiiv‘y‘.‘ 1"? m5 Ia1.-'s,%-bII__ iv: Wadi—11 mm” {945th Nun-n awful Mull-W “W“ ML” Ix" HEYL = Emu 4.3L." :: 7.1% T'ifilplgvh-I'F S T : d-"WHIII? III! [3 Pl _I .ifiil I (ll-Tl I I {M - f 1‘1. zL-i i 3 ‘ ‘ ' ‘ . ‘ — i L J 'ikl 2 PJ -! '1 (51 C7 -"1‘° M30 m T-b‘b‘v-iiuhw l ‘ )l x $11 ' ~ 3 F 1:30-511 My: fin/w 91‘} 7 I '-- l. , 3 l-‘I‘? ”9' van—49%“ I Y: 90:. 'Lomsn m4, —, G =%III=—. IIIJII 5‘4 ’— t-n-I‘a‘ll . f . —~ U) V? 3.4 ': I“ . 97 E K “(510) El {l-flrirvc am: \- . - *;—+(I+ 3- .I Auk-(2“: c619?- fi-lgl'fl J.‘ m5 ($73—- -%1,3'I #1. A” {a \ i?)- l I . l {4; :5 ‘13 ~— "—7 f_M_I:q3M')£'_If _ ’bELFI " T'*.T?1-S"1'17 E IE?“ 2) {M16 Lam‘s-Jun W ‘-}_.0£‘L 5—va 3:: if III—I 7‘LISI ”maul-[3% a0 II/IIIII III " IIJIIIII ”NM { “a u“ WW" ”H“. t WU“ .. mm: is. 2112::Wfkgr Lu) in) E WW—rlm ‘ n , .- . {ml (‘v-{L $1: M 5W6 \ R) ‘qu (III III II III M; “- 11.3.”? n. FmUM " ’3 "‘ t” ” ‘1} ”“3: .I. . 93‘“ =- Fm ’~‘ {La-L . \\ 9H5" LL14, ‘- ' MN“ 5m“ firm)” ’r‘ a U“: a m!“ M3 \ «ch: 1. II \\ Ever» - -4’12-4; +5.54! ”)qu ngwwl : m3 r ‘4 d6 \ “‘29 {Ia-'13 “my ’41:; “*3!” guts? b \ ’" Emu 9,, a MW“ [31‘ M Him-imp“ - _ __ 6w, -'3---q>‘lrv " _',_.__n~-—-—----———.__. gL - Err—J“ ~..1122.3 W, ‘1’ . , -—-—-—f _ . iiizl‘éflim ,3 -i ‘13? S '{5 ‘PJ II III ., If]? ( 3&‘401'6? (- OLDL (1 bf): “if“; it {6 3 ijfl§+ {fig “529+E’fl‘sm 3.5T ,_ -Hi fLiz. , -. 2 1 2. (M - - mm” -.. 1009136.]; v, = 53:42.14”: ‘ azrss t”- ‘ n m ' - - . /' ‘2’ iv’é-viéa) M 2:1":- ._ WI 7.26335 . 0’ #4905102 53IH1.16F$I_,,‘-” 12- 4 #5:: II I ‘3 w in am. airy _,_,_..-A _ ,7 ___7 77— ,,,,,,,,,, ——— _ W ‘ Ir. J E ‘ ('3) W Pfii‘l‘glr‘éih Lu» Q. ‘JW'FY" fifiiil 3 025 Th;-E 501‘” g“, gq'4wr5lfi‘"? in» $07“) I‘ n fix + V rv 4w!" 6] I? _.._ g £3 ...
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