Solutions for Fundamentals of Modern Manufacturing , 5/e (published by Wiley) MPGroover 2012
25 NONTRADITIONAL MACHINING AND THERMAL CUTTING PROCESSES Review Questions 25.1 25.1
Why re the nontr nontrdit dition ionl l !ter !teril il re!ovl re!ovl pro"es pro"esses ses i!port i!portnt# nt# Answer. $esons for i!portn"e of nontrditionl !teril re!ovl pro"esses re (1) the need to shpe ne% !etl lloys nd non&!etls tht re diffi"ult to !"hine by "onventionl pro"esses' (2) the reuire!ent of unusul nd "o!ple %or* prt +eo!etries' nd () the need to void surf"e d!+e %hi"h is often sso"ited %ith "onventionl !"hinin+.
25.2
-here re four four "te+or "te+ories ies of nontrd nontrdition itionl l !"hinin !"hinin+ + pro"esses pro"esses,, bsed bsed on prin"ipl prin"ipl ener+y ener+y for!. for!. !e the the four "te+ories. "te+ories. Answer. -he four "te+ories re (1) !e"hni"l, but not in"ludin+ "onventionl !"hinin+' (2) ele"tri"l' () ther!l' nd () "he!i"l.
25. 25.
o% o% does does the the ult ultr rso soni ni"" !"h !"hin inin in+ + pro" pro"ess ess %or* %or*## Answer. n ultrsoni" !"hinin+, brsives "ontined in slurry re driven t hi+h velo"ity +inst the %or* by tool vibrtin+ t lo% !plitude nd hi+h freuen"y. -he tool os"illtes in dire"tion perpendi"ulr perpendi"ulr to the the %or* surf"e, surf"e, nd is fed slo%ly slo%ly into into the %or*, so so tht tht the shpe shpe of of the tool tool is for!ed in the prt. -he brsives, i!pin+in+ +inst the %or* surf"e, perfor! the "hip re!ovl.
25. 25.
es" es"ri ribe be the the %t %ter er 3et 3et "utt "uttin in+ + pro" pro"es ess. s. Answer. Wter 3et "uttin+ uses hi+h&pressure, hi+h&velo"ity stre! of %ter dire"ted t the %or* surf"e to "ut the %or*.
25.5
Wht is the the differen"e differen"e bet%een bet%een %ter %ter 3et "uttin+, "uttin+, brsive brsive %ter 3et "uttin+ "uttin+,, nd brsive brsive 3et "uttin+# "uttin+# Answer. W4 "uts %ith nrro%, hi+h velo"ity %ter stre!' 6W4 dds brsive +rits to the %ter stre!' nd 64M "uts %ith brsive prti"les tht hve been dded to hi+h velo"ity ir stre!.
25.7 25.7
!e !e the the three three !in !in type typess of ele"t ele"tro ro"h "he! e!i" i"ll !"hi !"hini nin+ n+.. Answer. -he three types re ele"tro"he!i"l !"hinin+, deburrin+, nd +rindin+.
25.8 25.8
dentify dentify the the t%o t%o si+nif si+nifi" i"nt nt disd disdvn vnt+e t+ess of ele"tro ele"tro"he "he!i" !i"ll !"hini !"hinin+. n+. Answer. isdvnt+es of 9M in"lude (1) "ost of ele"tri"l po%er to operte the pro"ess, nd (2) "ost of disposl of ele"trolyte slud+e.
25.:
o% does in"resin+ in"resin+ dis"hr+e dis"hr+e "urrent "urrent ffe"t ffe"t !etl re!ovl rte nd nd surf"e surf"e finish in ele"tri ele"tri"" dis"hr+e !"hinin+# Answer. 6s dis"hr+e "urrent in"reses, !etl re!ovl rte in"reses nd surf"e finish is de+rded.
25.; 25.;
Wht Wht is !ent !ent by by the the ter! ter! over" over"ut ut in in ele"t ele"tri" ri" dis"h dis"hr+e r+e !"hin !"hinin+ in+## Answer.
25.10 25.10
dentify dentify t%o t%o !3or !3or disdv disdvnt nt+es +es of of pls! pls! r" "utti "uttin+. n+.
9"erpts fro! this %or* !y be reprodu"ed by instru"tors for distribution on not&for&profit bsis for testin+ or instru"tionl purposes only to students enrolled in "ourses for %hi"h the tetboo* hs been dopted. Any other reproduction reproduction or translation of this work work beyond that permitted by Sections 107 or 108 of the 1976 United States Copyriht Act without the permission of the copyriht owner is unlawful!
25&1
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Solutions for Fundamentals of Modern Manufacturing , 5/e (published by Wiley) MPGroover 2012
Answer. -%o disdvnt+es of P6 re (1) rou+h surf"e on "ut ed+e nd (2) !etllur+i"l d!+e to "ut surf"e.
25.1 25.11
Wht Wht re so!e so!e of of the fuels fuels used used in oyf oyfuel uel "utt "uttin+ in+## Answer. Prin"ipl fuels re "etylene, M6PP (!ethyl"etylene&propdiene), propylene, propne, nd nturl +s.
25.12 25.12
!e the the four four prin"i prin"ipl pl step stepss in "he!i" "he!i"l l !"hin !"hinin+ in+.. Answer. -he four steps re (1) "lenin+, (2) !s*in+, () et"hin+, nd () de!s*in+.
25.1
Wht re re the three three !ethods !ethods of perfor!in+ perfor!in+ the !s*in+ !s*in+ step step in "he!i"l "he!i"l !"hinin+# !"hinin+# Answer. -he three !s*in+ !ethods re (1) "ut nd peel, (2) s"reen resist, nd () photo+rphi" resist.
25.1 25.1
Wht Wht is photor photoresi esist st in "he!i" "he!i"ll !"hin !"hinin+ in+## Answer. 6 photoresist is !s*in+ !teril tht is sensitive to li+ht. When eposed, it "he!i"lly trnsfor!s nd "n be re!oved fro! the surf"e of the %or*, levin+ the desired surf"e unprote"ted by the !s*nt.
Probe!s 6ns%ers to proble!s lbeled "A# re listed in n 6ppendi 6ppendi t the b"* of the boo*. A$$i%&tion Probe!s
25.1
=or the the follo%i follo%in+ n+ ppli" ppli"tion, tion, identify identify one or or !ore nontrditio nontrditionl nl !"hini !"hinin+ n+ pro"ess pro"esses es tht tht !i+ht !i+ht be used, used, nd present present r+u!ents r+u!ents to to support support your your sele"tion sele"tion.. 6ssu!e 6ssu!e tht tht either either the the prt +eo!etry +eo!etry or the %or* !teril (or both) pre"lude the use of "onventionl !"hinin+. -he ppli"tion is !tri of 0.1 !! (0.00 in) di!eter holes in plte of .2 !! (0.125 in) thi"* hrdened tool steel. -he !tri is re"tn+ulr, 85 by 125 !! (.0 by 5.0 in) %ith the seprtion bet%een holes in e"h dire"tion > 1.7 !! ( 0.0725 in). Soution? Possible pro"esses? E'M nd L'M "n !*e holes of this si@e %ith depth&to&di!eter rtios s lr+e s 0.125/0.00 > 1.25.
25.2
=or the the follo%i follo%in+ n+ ppli" ppli"tion, tion, identify identify one or or !ore nontrditio nontrditionl nl !"hini !"hinin+ n+ pro"ess pro"esses es tht tht !i+ht !i+ht be used, used, nd present present r+u!ents r+u!ents to to support support your your sele"tion sele"tion.. 6ssu!e 6ssu!e tht tht either either the the prt +eo!etry +eo!etry or the %or* !teril (or both) pre"lude the use of "onventionl !"hinin+. -he ppli"tion is n en+rved lu!inu! printin+ plte to be used in n offset printin+ press to !*e 285 by 50 !! (11 by 1 in) posters posters of of Ain"olnBs Ain"olnBs Gettysbur+ Gettysbur+ ddress. ddress. Soution? Possible pro"ess? photo"he!i"l en+rvin+' !*in+ ne+tive of the spee"h nd trnsferrin+ this to either sil* s"reen or dire"tly to the photoresist %ould see! to be the !ost stri+htfor%rd !ethods.
25.
=or the the follo%i follo%in+ n+ ppli" ppli"tion, tion, identify identify one or or !ore nontrditio nontrditionl nl !"hini !"hinin+ n+ pro"ess pro"esses es tht tht !i+ht !i+ht be used, used, nd present present r+u!ents r+u!ents to to support support your your sele"tion sele"tion.. 6ssu!e 6ssu!e tht tht either either the the prt +eo!etry +eo!etry or the %or* !teril (or both) pre"lude the use of "onventionl !"hinin+. -he ppli"tion is throu+h&hole in the shpe of the letter A in 12.5 !! (0.5 in) thi"* plte of +lss. -he si@e of the CAC is 25 by 15 !! (1.0 by 0.7 in) nd the %idth of the hole is !! (1/: in).
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Solutions for Fundamentals of Modern Manufacturing , 5/e (published by Wiley) MPGroover 2012
the %or* !teril (or both) pre"lude the use of "onventionl !"hinin+. -he ppli"tion is blind&hole blind&hole in the shpe shpe of the letter letter G in 50 !! (2.0 in) in) "ube of steel. steel. -he -he overll overll si@e si@e of the the CGC is 25 by 1; !! (1.0 by 0.85 in), the depth of the hole is .: !! (0.15 in), nd its %idth is !! (1/: in). Soution? Possible pro"esses? ECM nd EDM %ould be useful for po"*etin+ opertions su"h s this.
25.5 25.5
Mu"h of of the %or* %or* t the the ut&6ny ut&6nythi thin+ n+ o!pn o!pny y involv involves es "utti "uttin+ n+ nd nd for!in+ for!in+ of of flt shee sheets ts of fiber&+lss for the plesure bot industry. Mnul !ethods bsed on portble s%s re "urrently used to perfor! the "uttin+ opertion, but produ"tion is slo% nd s"rp rtes re hi+h. -he fore!n sys the "o!pny should invest in pls! r" "uttin+ !"hine, but the plnt !n+er thin*s it %ould be too epensive. Wht do you thin*# 4ustify your ns%er by indi"tin+ the "hr"teristi"s of the pro"ess tht !*e P6 ttr"tive or unttr"tive in this ppli"tion. Soution? n pls! r" "uttin+, the %or* prt !ust be n ele"tri"lly "ondu"tive !teril. =iber +lss is not ele"tri"lly "ondu"tive. P6 is therefore not n pproprite pro"ess for this ppli"tion.
25.7
6 furniture furniture "o!pny "o!pny tht !*es upholstered upholstered "hirs nd sofs sofs !ust !ust "ut "ut lr+e lr+e untities untities of fbri"s. fbri"s. Mny of these fbri"s re stron+ nd %er&resistnt, %hi"h properties !*e the! diffi"ult to "ut. Wht nontrditionl pro"ess(es) %ould you re"o!!end to the "o!pny for this ppli"tion# 4ustify your ns%er by indi"tin+ the "hr"teristi"s of the pro"ess tht !*e it ttr"tive. Soution? Wter 3et "uttin+ %ould be n idel pro"ess for this ppli"tion. W4 "uts throu+h fbri"s ui"*ly nd "lenly, nd the pro"ess "ould be redily uto!ted.
Ee%tro%(e!i%& M&%(inin)
25.8
"A# (S units) n n 9M opertion the frontl %or*in+ re of the ele"trode is 1555 !! 2. 6pplied "urrent > 1200 !ps nd volt+e > 12 volts. -he !teril bein+ "ut is ni"*el (vlen"e > 2). onsult -ble 25.1 for the spe"ifi" re!ovl rte of ni"*el. () f the pro"ess is ;0E effi"ient, deter!ine the rte of !etl re!ovl in !! /!in. (b) f the resistivity of the ele"trolyte > 150 oh!&!!, deter!ine the %or*in+ +p.
> .2 10 &2 !!/6&s Soution? () =ro! -ble 25.1, the spe"ifi" re!ovl rte C > =ro! 9. (25.7) " (25.7) " #" > f > f A > A (C$ / A) A) A > A > C$ > > (.2 10 &2 !!/6&s)(1200 6) r r > (C$ > 1.0 !! /s > 272 !! /!in 6t ;0E effi"ien"y " effi"ien"y " #" > 0.;(272 !! /!in) > 22*+ !!,-!in (b) Given resistivity r > > 150 oh!&!!, $ oh!&!!, $ > %A > %A// r r in in 9. (25.2). $errn+in+, $errn+in+, > %A > %A// $r $r 2 > > (12 F)(1555 !! )/(1200 6)(150 oh!&!!) > ./*.0 !! 25.: 25.:
(DSS (DSS units units)) -he -he fron frontl tl %or*in %or*in+ + re re of of the the ele"t ele"trod rodee is .8 in 2 in n 9M opertion on pure lu!inu!. 6pplied "urrent > 1500 !ps nd volt+e > 12 volts. onsult -ble 25.1 for the spe"ifi" re!ovl rte of lu!inu!. () f the 9M pro"ess is :5 per"ent effi"ient, deter!ine the rte of !etl re!ovl in in /hr. (b) f the resistivity of the ele"trolyte > 7.: oh!&in, deter!ine the %or*in+ +p. Soution? () =ro! -ble 25.1, the spe"ifi" re!ovl rte C > > 0.000127 in /6&!in " #" > f > f A > A (C$ / A)( A)( A) A) > C$ r r > (C$ " #" > C$ > > 0.000127(1500) > 0.1:; in /!in t 100E effi"ien"y. effi"ien"y.
,
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Solutions for Fundamentals of Modern Manufacturing , 5/e (published by Wiley) MPGroover 2012
but the the ele"trode ele"trode used used to "ut the the hole hole is sli+htly sli+htly less thn thn 5 !! on its its sides sides to llo% llo% for for over"ut, over"ut, nd its shpe in"ludes hole in its "enter to per!it the flo% of ele"trolyte nd to redu"e the re of the "ut. -his tool desi+n results in frontl re of 25 !! 2. -he pplied "urrent > 1200 !ps. () Dsin+ n effi"ien"y of ;5E, ho% lon+ %ill it t*e to "ut the hole# (b) f the tool %ere desi+ned %ith frontl re eul to the hole si@e, ho% lon+ %ill it t*e to "ut the hole# Soution? () Given tht C > > .8 10 &2 !!/6&s =ro! 9. (25.7) f (25.7) f r r > > C$ / A > A > (.8 10 &2 !!/6&s)(1200 6)/(25 !! 2) > 0.1:12 !!/s 6t ;5E effi"ien"y, effi"ien"y, f r r > > 0.;5(0.1:12 !!/s) > 0.182 !!/s -i!e to !"hine > (12 !!)/(0.182 !!/s) > +1/ s 3 */*+ !in
(b) -he re of the sure hole > 5 2 > 1225 !!2 f r r > > C$ / A > A > (.8 10 &2 !!/6&s)(1200 6)/(1225 !! 2) > 0.072 !!/s 6t ;5E effi"ien"y, effi"ien"y, f r r > > 0.;5(0.072 !!/s) > 0.0 !!/s -i!e to !"hine > (12 !!)/(0.0 !!/s) > ,04/5 s 3 5/4* !in Co!!ent? -he ele"trode desi+n %ith the hole in the "enter redu"es the ti!e to !"hine by f"tor of 5 be"use of the redu"ed frontl re.
25.10
(DSS units) units) 6 .5 in di!eter di!eter throu+ throu+h h hole is to be "ut "ut in blo"* blo"* of titniu! titniu! (vlen" (vlen"ee > ) by ele"tro"he!i"l !"hinin+. -he blo"* is 2.0 in thi"*. -o speed the "uttin+ pro"ess, the ele"trode tool %ill hve "enter hole of .0 in, %hi"h %ill produ"e "enter "ore tht "n be re!oved fter the tool bre*s throu+h. f the effi"ien"y of the 9M opertion is ;0E, %ht "urrent %ill be reuired to "o!plete the "uttin+ opertion in 5 !inutes# Soution? 9le"trode frontl +p re A re A > > 0.25(.52 & .02) > 2.55 in 2 =ro! -ble 25.1, the spe"ifi" re!ovl rte C > > 0.00010 in /6&!in f r r > > C$ / A > A > 0.00010 $ 0.00010 $ /2.55 /2.55 > 0.0000;2 $ 0.0000;2 $ in/!in in/!in t 100E effi"ien"y. 6t ;0E effi"ien"y f effi"ien"y f r r > > 0.;(0.0000;2 $ 0.;(0.0000;2 $ ) > 0.00005 $ 0.00005 $ in/!in in/!in -o "ut throu+h 2.0 in"h thi"*ness in 5 !inutes reuires feed rte f r r > > 2.0/5 > 0.0 in/!in f r r > > 0.0 > 0.00005 $ 0.00005 $ $ > > 0.0/0.00005 > *251 A/
Ee%tri% Dis%(&r)e M&%(inin)
25.11
"A# (S units) 6n ele"tri" dis"hr+e !"hinin+ opertion is perfor!ed on tun+sten. eter!ine the !ount of !etl re!oved in the opertion fter one hour t dis"hr+e "urrent of 20 !ps for this !etl. Dse !etri" units nd epress the ns%ers in !! /hr. $efer to -ble .1 for the !eltin+ te!perture of tun+sten. Soution? =or tun+sten, the !eltin+ te!perture +iven in -ble .1 > 10 . Dsin+ 9. (25.8), " (25.8), " #" > &$ > &$ /' m1.2 > 77(20)/(10 1.2) > 0.5;;8 !! /s > 2*51 !!,-(r
25.12
(DSS units) units) 6n ele"tri" ele"tri" dis"hr+ dis"hr+ee !"hinin+ !"hinin+ opertion opertion is is perfor!ed perfor!ed on @in". @in". eter!ine eter!ine the !ount of !etl re!oved in the opertion fter one hour t dis"hr+e !per+e > 1: !ps for this !etl. Dse D.S. usto!ry units nd epress the ns%er in in /hr. $efer to -ble .1 for the !eltin+ te!perture of @in". Soution? =or @in", the !eltin+ te!perture +iven in -ble .1 > 8:8 =. Dsin+ 9. (25.8), " (25.8), " #" > &$ > &$ /' m1.2 > 5.0:(1:)/(8:8 1.2) > 0.0251 in /s > */5.0 in,-(r
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Solutions for Fundamentals of Modern Manufacturing , 5/e (published by Wiley) MPGroover 2012
f r r > " > " #"/ A > A > 0.0050/2.55 > 0.002085 in/!in -i!e to !"hine the 2.0 in"h thi"*ness ' m > 2.0/0.002085 > 1+,/1 !in 3 *+/.+0 (r 25.1 25.1
(DSS (DSS units units)) 6 !etl !etl re!ov re!ovl l rte rte of of 0.00: 0.00: in/!in is "hieved in "ertin 9M opertion on n iron %or* prt. Wht !etl re!ovl rte %ould be "hieved on lu!inu! in this 9M opertion, if the s!e dis"hr+e "urrent %ere used# onsult -ble .1 for the !eltin+ te!pertures of iron nd lu!inu!. Soution? =ro! -ble .1, the !eltin+ te!pertures of iron nd lu!inu! re 2:02 = nd 1220 =, respe"tively. =or iron, " iron, " #" > 5.0: $ 5.0: $ /2:02 /2:021.2 > 5.0: $ 5.0: $ /18,; /18,; > 0.0002;2 $ 0.0002;2 $ in in/!in Given tht " tht " #" > 0.00: in /!in 0.0002;2 $ 0.0002;2 $ > > 0.00: $ > > 0.00:/0.0002;2 > 28. 6. =or > lu!inu!, " lu!inu!, " #" > 5.0:(28.)/1220 1.2 > 1;.1:/7255 > ./.2225 in,-!in Co!!ent? e"use the !eltin+ te!perture of lu!inu! is si+nifi"ntly lo%er thn tht of iron, the !etl re!ovl rte is bout 2.: ti!es fster.
25.15
(S units) units) n %ire %ire 9M opertio opertion n perfor!ed perfor!ed on 12&!!&thi 12&!!&thi"* "* 10:0 10:0 steel usin+ usin+ tun+ste tun+sten n %ire ele"trode %hose di!eter > 0.125 !!, pst eperien"e su++ests tht the over"ut %ill be 0.02 !!, so tht the *erf %idth %ill be 0.175 !!. Dsin+ dis"hr+e "urrent > 15 !ps, %ht is the feed rte tht "n be used in the opertion# 9sti!te the !eltin+ te!perture of 0.:0E "rbon steel fro! the phse di+r! di+r! of =i+ure =i+ure 7.. Soution? =ro! =i+ure 7., ' m > 1500 for 10:0 steel Dsin+ 9. (25.8), " (25.8), " #" > 77(15)/(1500 1.2) > ;;70/:075 > 1.22 !! /s > 8.;2 !! /!in =rontl re of *erf A *erf A > > 0.175(12.0) > 1.;: !! 2 f r r > > 8.;2/1.;: > ,/,, !!-!in
25.17
"A# (DSS units) 6 %ire 9M opertion is perfor!ed on slb of 1/2&in&thi"* lu!inu! plte usin+ brss %ire ele"trode %hose di!eter > 0.005 in. t is nti"ipted tht the over"ut %ill be 0.001 in, so tht the *erf %idth %ill be 0.008 in. -he len+th of the "ut > 12 in. Dsin+ dis"hr+e "urrent > 10 !ps, %ht is the epe"ted ti!e to "ut throu+h the plte# onsult -ble .1 for the !eltin+ te!perture of lu!inu!. Soution? =ro! -ble .1, the !eltin+ te!perture of lu!inu! is 1220 =. Dsin+ 9. (25.8), " (25.8), " #" > 5.0:(10)/1220 1.2 > 50.:/7255 > 0.00:12 in /!in =rontl re of *erf A *erf A > > 0.50(0.008) > 0.005 in 2 f r r > > 0.00:12/0.005 > 2.2 in/!in -i!e to !"hine ' m > 12.0/2.2 > 5/* !in
25.18
(S units) units) 6 %ire 9M 9M opertion opertion is used to "ut "ut out pun"h&nd pun"h&nd&die &die "o!ponent "o!ponentss fro! 25&!!&thi"* 25&!!&thi"* tool steel pltes. o%ever, in preli!inry "uts, the surf"e finish on the "ut ed+e is poor. Wht "hn+es in dis"hr+e "urrent nd freuen"y of dis"hr+es should be !de to i!prove the finish# Soution? 6s indi"ted in =i+ure 25.:(), surf"e finish in 9M "ould be i!proved by redu"in+ dis"hr+e "urrent nd in"resin+ freuen"y of dis"hr+es.
C(e!i%& M&%(inin)
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Solutions for Fundamentals of Modern Manufacturing , 5/e (published by Wiley) MPGroover 2012
spe"ified depth, nd (") reuired di!ensions of the openin+ in the "ut nd peel !s*nt to "hieve the desired po"*et si@e on the prt. Soution? =ro! -ble 25.2, the penetrtion rte for this "o!bintion > 0.025 !!/!in nd the et"h f"tor ( f"tor ( e > 1.85.
() e+le"tin+ the f"t tht the initil re %ould be less thn the +iven di!ensions of 200 !! by 00 !!, nd tht the !teril re!ovl rte ( " ( " #") %ould therefore in"rese durin+ the "ut s the re in"resed, re A re A > > 200 00 H (0 0 & (15)2) > :0,000 H 1; > 8;,:08 !! 2 " #" > (0.025 !!/!in)(8;,:08 !! 2) > *115/2 !!,-!in (b) -i!e to !"hine (et"h) ' m > 15/0.025 > +.. !in 3 *./. (r (") Given ( Given ( e > 1.85, under"ut u > d / ( ( e > 15/1.85 > :.58 !! Ms*nt openin+ len+th > ) > ) H H 2u 2u > 00 H 2(:.58) > ,42/4+ !! Ms*nt openin+ %idth > * H H 2u 2u > 200 H 2(:.58) > *42/4+ !! $dius on "orners > " > " H H u > 15 H :.58> +/0, !! 25.1;
(DSS units) units) n "he!i" "he!i"ll !illin+ !illin+ opertion opertion on flt !ild !ild steel plte, it it is desired desired to "ut "ut n ellipse& ellipse& shped po"*et to depth of 0.25 in. -he se!i&es of the ellipse re a > 12.0 in nd b > :.0 in. 6 solution of hydro"hlori" nd nitri" "ids %ill be used s the et"hnt. onsult -ble 25.2 for the penetrtion penetrtion rte rte nd et"h f"tor f"tor.. eter!ine eter!ine () !etl re!ovl re!ovl rte in in in /hr, (b) ti!e reuired to et"h to depth, nd (") reuired di!ensions of the openin+ in the "ut nd peel !s*nt reuired to "hieve the desired po"*et si@e on the prt. Soution? =ro! -ble 25.2, the penetrtion rte for this "o!bintion > 0.001 in/!in nd the et"h f"tor ( f"tor ( e > 2.0.
() e+le"tin+ the f"t tht the initil re %ould be sli+htly less thn the +iven di!ensions of 12 in by : in, in, nd tht tht the !teril !teril re!ovl re!ovl rte ( " #") %ould therefore in"rese durin+ the "ut s the re in"resed, re of n ellipse A ellipse A > > ab > ab > (12.0)(:.0) > ;7 > 01.7 in 2 " #" > (0.001 in/!in)(01.7 in 2) > 0.017 in /!in > *4/.1+ in,-(r (b) -i!e to !"hine (et"h) ' m > 0.25/0.001 > 25. !in 3 0/*+ (r. (") Given ( Given ( e > 2.0, under"ut u > d / ( ( e > 0.25/2.0 > 0.125 !! -his !ust be doubled to deter!ine the effe"t on a nd b. Ms*nt openin+ aI > a H u > 12.0 H 2(0.125) > **/5 in Ms*nt openin+ bI > b H u > u > :.0 H 2(0.125) > /5 in 25.20
(S units) units) n "ertin "ertin "he!i"l "he!i"l bln*in bln*in+ + opertion, opertion, sulfuri" sulfuri" "id "id et"hnt et"hnt is used used to re!ove re!ove !teril fro! sheet of !+nesiu! lloy. -he sheet is 0.25 !! thi"*. -he s"reen resist !ethod of !s*in+ %s used to per!it hi+h produ"tion rtes to be "hieved. 6s it turns out, the pro"ess is produ"in+ produ"in+ lr+e lr+e proport proportion ion of s"rp. Spe"ified Spe"ified tolern"es tolern"es of 0.025 !! re not bein+ "hieved. -he fore!n in the M deprt!ent "o!plins tht there !ust be so!ethin+ %ron+ %ith the sulfuri" "id. CPerhps the "on"entrtion is in"orre"t,C he su++ests. 6nly@e the proble! nd re"o!!end solution. Soution? -he proble! in this "he!i"l bln*in+ opertion is tht the s"reen resist !ethod of !s*in+ "nnot "hieve the tolern"es spe"ified. -he photoresist !ethod should hve been used, nd the pro"ess should be "hn+ed over to dopt this !ethod.
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Solutions for Fundamentals of Modern Manufacturing , 5/e (published by Wiley) MPGroover 2012
Soution? =ro! -ble 25.2, ( 25.2, ( e > 1.85. n "he!i"l bln*in+, et"hin+ %ill o""ur on both sides of the prt. -herefore, the effe"tive hole depth on e"h side > one&hlf of the sto"* thi"*ness > 0.015/2 > 0.0085 in. Dnder"ut u > 0.0085/1.85 > 0.00 in i!eter of pttern holes > 0.100 & 2(0.00) > ./.1*0 in