Handbook-Gear-Design-Maitra-2nd-Ed

HANDBOOK OF GEAR DESIGN SECOND EDITION GIlIN M .....lTItt. , _ " .. •.... ....... Doo_ .. ' Roo""' ........ ...... b .. . ~. Tata McGraw_Hili Publishing Company L imited MOW DELHI .~ " " " " _ Offio" .. _ _ V.,. so .......... - . '",,, oJ IIoi/<d ... _ ... _ _ , u.- l _ _ _ ....... " ... .... _ . . .... . ..... ........ SIoo • • " .... , • •_ , .... , .. _ ------------------- -- .... . _ " . ...." " . . . . u_. _._ . n., _ _ , .... . ... ..... .,,.~. ,,~ ,.,. ~~ __ ,. .. . _ ' ... '"' .....,... /rom ..... . "..,. .. .... ..." . .. Me()r'~.H d l "' '''''' . . . ..... ..,. .... Mru. •• c_,.., L..... "OJ . ... _ C_.-. L _ _ , . '", , ...1"op'. N~ ...., ' J """,~_ A . _ , V .... u N .... , . . . . ~ , ...." • _ . . . . .. . . . . . .. . ,. ..,. u,_. '- " ~ N. " " ' ' ' ' ' ' ' ' ' " " " . .. ............ .. .""'. • • I n .II,,".,, <1 .11, .~ .".to" G,,';"~"' .'" I'..~" • Preface to the Second Edition I. ~~~t,'''''''' " . ~""," , ...... ed .... h,"<>y. , .. , t«hnoloi:)' ho. <vol,od ., • h'l h d<~,,< of ocl",". S, .... d.v<lorm<"" '<ad ong t o od,....,od ........... i", " Q mon ,r" ,"", '" "d ,<annl ' Y'''m. h.. , " ~'n " Ia«. 'n...., dov<iopm< .." h", l"""'I',od m ... "";'" th o «Ii,"",The pro<,,,.1 ",f",...,< r.lfill" , (he ' <G"".m .. " of <!nii" ,nl' n«H a nd ",hn.d. n~ I. th, now .o".,. I h,,-, . ad >OOf'<" ,<0,r,,,,, ,.I fi ,,, ...,,_ ..... _.,...«<1 "'ood,.... ,., apr''''''''' .,,", odd",... 1d,"'''', .... "" ,.",1""',- ro.- oI""'m'I"'" "d do.i, n d ",,,. ,,,,,,,, profli<. 1 ... " o.m ~","Iy """"' '' ~ by lho ""mondou. "'P" .... m.n tt.< prof"",,,,,,,)' from tb. ,,," u"'Y and oJ", from "' .... m;.,i .... 1>.0=1 i. I nd,. "d . bro..<!. 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S...... d" B.... d., .... br,oc_ 011'..... , C" O(!,"oB, 11, ... _ fi_". s_._ 2.10. """" N... DtIII, ,.d_troy. " - ," ... _ .. "km.' 11..1 ....... Rh ......... loop", "' ..... , ... T." • ..t_. t , D ~~ wot. C,int\&. Contents "'<1M • .. . , .., r _ .frio .. 4 .. , ..... , ruNDAMt:."ITAIA or'!O'3THl'DGUMI.~ G !.I 1.1 1.1 " I.,,,,,,",,,.. ... G.O<f." ..."f",,,,,,, .. , ..,, I,' ~,io<,pl<. of,,,.,,,,,,,,.. .. d '''''j' JO t< .,,"'" l ,S U C~".'"'';''''' ...k. ;ovo,.t< , un. ...0 U '",ol''''''''' '''I""oot.iIproIil< I.U un""",,,;,,,,,...... ,)'<0",;.1, ...... 1. 11 I .' C,..Io'<laLI'''' u' 1.1 c. ... • """'" ,~." po"",,"'" •• d " .. 'm." I 21 , "'"""" 2.1 11.. 110 ....... l-I 2.2 ~ _ _ "" ......... d _ _".~,~_~o" 2. J ..... - " " _ ,.......... " ... 2. J U U U r,,..<>I,<o' _ ... , "'.' ... of_"",......',•. p.,., .. .,.. J." $I, . . . . ' U I" . of"", ....... '"' C.........., 2." • .• _U....... . _ ' " ' ' 2.'" f...... "'<fr"<D<...d •• d""'K" 'of~ .., _ UJ M,.,," .. 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'.3<1 ~";'."'n". d"'~·;"i "'''''' . ..., • HELICAL GEARS .,' • . , G"'''''''Y''boh,,1 ~"" .,' ... 11,1.,, 1 J"""""'nolov •• d" I,,,,, •• l .l 3.3 E~ .,,· , l ,.' 'P"' 1m , od ,;n..1 .umb<, """h ... ... Cb"""riot;" .."",,011"" •." • .• S .. . " 01"""" '"I, ,<m • • ' ;. boh,aJ ;'" dm, l .U ',1 C ... ,.. " " lo 011.01,,,1 ' " ' ' •. If :1.1 H.d l" ,,, I>< I,col ;,... .. U • .1 C<><=,,,,.;" I><I,,,oI , m i", l . U •.• ,",,,. , lbol,,,01,,,,, ' . IT •. ,. lko,1" ,,,,,, .. fo< 1>01",01 ,oa" ' .tI •. " n, ... , ",,,,,,,';.,,,, "hd",.I" ",, l." .... " . ," .... Iy ... fo< 1><10<.11"" 3.>0 . ... 'lol"oI;m b<' '''I"'""' •.• , •.•• S"'"J,h " b '"",,, r..." I,co' '"'' .,., 3," C......,db<h, oIl' ..' 3.>. 3." ,1",;.,1>",,'1<'" 3.3, 3.11 ",pix""",", .. d.. m ot .. 1r"d, S" " by """" j, I"" .... l.1'lll'ioi, m,ofb<h,.II ' '' "'''·' l .U • WOR .' lAND WOI!.' l ·WIII:E I _~ .,' 0.' "•• d.m, ... I.ofwoom , .d"onn-"O",ld.h ·, .., ... TYF"'",f.·oom . ... , .. H.. ~ p.. 01. '""" and ~·"",," ... _ I , ., ... Wonn·d,,,,, ... ;" """.,'<-000," profik " .. ... 'occ . . .. ly ... oI"wonn-dn,·< ' .11 0,1 ~ ..,; " &f"", o< ' " . Ul ' .1 C .. ,,,,,,o,, owonn-do-""y>t<m U' ... t>dk<, .... oI".·onn_wn . . .. , m"", ,,'ona--dn,', ... Hondio ,.".. ".k.b,,.,., ..., ,.,. Coo,,,,""""k.b"".. 4,21 ,," i'ff«, oI"b<" &<""" " ". U' , ... lko,1" ",,,ri. 0I". '" ",,-dn,', ... , ' .n Lo . d " "" lof ~·onn--d>i ,·, '.H , .,. f.W"'''''' yol"..,rm.dri " U' , s ~" RAIG "l ' U £"£ I . Gl:AAS '.1 lD«Kyo ' .....·d K" " • ., '.2 lind ''''"''''' ,,, • • • dmod. b J.2 '.J lIn·d " d ",I",,", •. • ,m ,"".,..""" •.• " ,.,m.", """,'"."""'",,,·f,,, too" •.• Pron l,<""""",,, . ,o.,-d,.. ,, ' .7 H • .• G.;"" I,.. , r", ",I .. ,.." oro ,,,,,,no 00.' •. 7 •.• f""" " .Iy'" r", 1I.,,~ 1 ,,,n H •.• """ .. ,"'1><.,,", ...... '.Il ' .9 B,nd,."", .. ,,""''''' '.B .... Coo" " """"".1.. """ '.lJ , .• t ut ••h •• d m.o""",, ,., 1><,,1' " '' •.,. ' .12 Eff""""y " ........ l'" d,h, .... .. , G,.. " I01. ..""""00 • S PIRAL BEVf.LGF.ARS '. 1 of' p,,,1 ",~t I" " •.• Sp", 1",... ' ' ' ' I '''''''''')' "d .... 1, ",I .. io", •.• "" Gt",.... ')'"'''' ""t Z.rol •• d hy;<Jid '"'' ' .'2 •• 'y'" '' .f",I,, 1",... I"'" •. •• k"",,, 'Y''"'' . fop".t 0."" l"" •• .., Arcoid ,,,,,,. ,, ", 1,,10."" '"'' ."~,,.I ~<>" Kli n.:tl n bo ' ~ P.I I . id '.1 G",,,,,, ' .10 lJ ~. ,. ' . J.! " ,., " "y,"" '.2 UO •.• 1.",mi"'"' I"" ..,> 7.' ",01.","1" " 7.10 •. , PI•• 1.1 N""., I" . ... , ,," U G''''"" ph"" '.20 • .• P" J ' ' '''J 7.2> •.• No, ..." " " • 7.10 ' '' SC ': Ll .A~· EO US , 'OPlUi 1 .1 ~""""i oo"",.". M.' G",,",,, oo' ''' I •• d..,,,,,,,,,,, ' .ll I .' G"'<'''''I I''''''<'''' • .,. i.l •.• G",r",,' I.JP"'''''''' ' .2' 8.S P",fibof,•.,.""", •• dt'''' ' '''.'' .... • .• G", M ..;"h .... d,,,,,h., ' .J2 I .' TYr<' ,low 0<,,,, r"I",,,." <a"... •... • ." • .• Sp"'p'" d" " I., 'f"'" r,om .. m"l. • ... U G", •• ", R. IO G • • • p... p•••• • · . U .... ,," . __ ."... ... I.M ' .12 T ... ns"y _ _ """""'-I: .. " ' .Il n.i", n...10-."'- fo.-,...."" _ _ _ ... . ... r ... Sl ..... ' .!O 1.15 rur............... 001 ....... ~ ' .U Lila"" (0,. MOl "'<00<<> 1.5> i. . . .~ .. 24 .....,... '~I~ i.""'" Aa BI~I.lO(; Ol "'" , . ••• •• 1 Fundamentals of Toothed Gearing 1.1 Introduction i."'"'' ... J . . . .,,,,,, • • ,, " ""' ",,Ion " < ,.... "po .. 00 .. " " , I,.,,", .,.., t. ' n . ... " ... ,... "d ""n, "On•• •• ,", ••••• r" by ...... of pro. '"'''' . " ~.~m."t d ...j"" ;"'" " ,... "<0'. t ,,-.,, ; 0." tb <.<" " ........ " ,...." . ... ',d.. "'•• ,."., d<, ''''0''''''' . ft • • """' N I' ", •• •, ,"'" """'N .... , .11 , "0., ,.< "',,.,, ,,, r", .. ~ ... ~ """". ... , ...< " '•••• d "" .k. p""'''' of .... pl •.""". ..-"""", • "''', ., .,;,',,0, ."..'",,. .".,,,.. d.O. p." T"'" •• ..,1 . .. " .... < "'1"'" of(;ear, ;.... " , , " • . A" h.... ,.< _","'. _" .. "... .o. 00" ... •• ;". t" " ~'" 0<>' ''''o"n.o\ , ..,",,",."' .. Ib, ' ....... ,,' ,..,. .... . 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". ,• ••• ,,,., •• , ... . . ... . ,. ,..... , ;. f' ~ " ........ ."' ... ro< ,...... fOO' ............ , ;0 • • ," ."'" '''''''',,,. i . .... . fj ..... , ... " •••. " .n.d" ... , .... 'h lb ... ,,, ... """,, "'J"" . ''''to,.. ". , APPENDICES , APPENDIX" Construction of Involute Gear Tooth r......d' n., ;", 1", ,_h profi l' m.,"nd" d If' 1"""" ""I l, co, '" d" n .. "pl . ..,od ""-. T>, ;·. 1." ",h, d" .."", of, h, "P ""I< d,. ,h, p' " b , 1",1< d ,,,d 'h, """ , ;",k dr ." " k.I .. ,d ,b, ful lo....., ,, I.. ,"",_ • _ •.1 "I''' d. "",,·2m d, ".,,-2 , 1.21>m TIr, ";0'''' .,'"''',,. &om"" b,,,, , I",,, ro , dl,,,,, ,,, ..... ",b " I ''''' ..,. d, · . ",d . , Dy F""""",01 '''",'''''''00. 'h, 0.. '" 'OK I, I, fowod by fi" , <10-,,,,,", ' ,.."", 1".,,01 I.. , . , ." ~'i 'h 0 ""''''. ,b«",I"",, I.,d 0", " f'<" b"',h,,, p""'"""iy <. k .1. ,.. IF i~, A. 1(>. II Th, p" ,b dITI< ,n"",," 'h, ,'",,,,, 1" " " I I'''' "C _1 h";,, h, p",b 1"''''_l 'b, I,'" m "" "'" ;, , h.. ""... " " '"1" '" , I, .. 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E,;, A I' " . , C ,.C:."'" h.,·, 00' bu • . -.• I, 'h, <10-' .' 1'1 , F, ... Ih,"'o< ,;"'I<., h, ''''''h profik I, ""O.d<O " P .. ,h, .... "",1< .. .......1. AI ro, """ ""',, ' h, " d..1 .. ,," 'h, "'" "",I< . • fill« " ro",okd. 'h, ,.,1 .. m .·h",h ,. d<t, .. "n«I "',Old;.; 10 'h, ..... , ,. d prorol< oll " ........ So, 1. 1. n., prorok GO h,,,"" ml h, J'" _ h co. " .; m, 1.,1y." "" '"pl, ; '" mlod 'hat ,Jo, of,., ..... ' iI • " ,,«"W- ""'" " "' ,.,,. " ,I., P'Io' , ... ., i. ~ . l f d",«,« " I"," , ""~., , . A' p n. , " ", il. nco Ioc",,,b, ",".' 00 th, 0' h".id< ~'",,~ """"pond, '0 1"""- C «" I"t ,id<, ,b, ,...r,i< d ..hI. Iu, .... d"u . An ' ,.,..0""' '' . nd .i"", I,rl<d m<thod «'d,nin" h, in;'olut<_h h.. """ ohon ,n ~' l- Al (b). rh .. "",hod ,. . d"l"''' f", ",di""l' ","",,,n'at,,,,, ~. d lOwin, ~'"", . n .," " ,,"""''' "'" n«<I<d_ AA., d" ..·'n , tho ""'''00<)' "",In .. W""'.' h, 0.", "",It" dn ... .. w..-.. ~ "'c . n'" ,. d" .... with "d,., (R ) _ AC .... ,' 'h, " ",,, &t A _T .. "" C ,cc. ~"·,, o ",. ",,,,b l, """'"ximo'.... o!IM,n,'oIu"" profi., .._" '" OOj"''' for oil ,.,...,,;"ol""'J""'<" o . f " .. i:I' .phi, "'p''''''''''O" ;.""",,<m<d, l'ho .. m, """,.. ;, "",.tod for.b,otho.b. lr«"h, ,oc<), profilt. ' ;g.A,' _ _ _ • .>cU ",w-a" """, l"'~" "h ,, """ ..... d d lOw in ~!h' ,n,olul< ,.r.-, ~ .h, """" """,, h i, ,.."',, • bboo.,.. """... _ F", both onron-e<<<O . m! ,m profi;" .• bi. method ~m " , """'" ,...r,1e.. So""" ;"""h,, "",hod ;, ,I", . >«1 f", m. "n, tom" I"" "d IOnn look. ,~ I "". oftb, "I,von' <l",I" .. , fowod Oy <.k.I .. ,,",,_.,in, , hof"",,"I.., ~""n i. F; .... CIo'p, 2 , nd 3. R 'n ll 'n~ th, "I""';"'" «"" 'n,ol'I< '''''.,' E<!' I.hnd "". "" ... rt to pi .. from 'h, ba>< <l",I,_ yo", . ... ,"'"J .. h'II' ''' vol"", for ' h, . ngl" '" find 'h, <Orr<'f""'di... vol .... of PI""" J '''''' 0 , .. ph p'p'."r a ,,'hll, . " ".... POP" " d Po'''''' • ...- ""''-' ...... th, 1>0", "",It .. ' h, , nd i",nin, r><' '"t ~ "ill " . " i" "0 1u« profllt. b find ,I., ",ho, "",fl l' d, h, tooth. ," ,.. hi. 01""1"'''' m.d< ,n " , ,i"" 'h, '""'.""" , ."''' to.--n!. ' h, I<fl . Th, tooth ,b" 'n..... 'h , 0.", "",It" then "","1.«0 • • d ...,',d ,., th, Iu", , ..I<. no> , "d, .X<" ...... 1d ...... bt •• II.bl, ,,,, .. N tO"'""'f'OOd .. 'h, "'''' Ioc...,. «' .h. ori J '" oft h, otho , b.1f bef"", """Iyin, .h, "".tor,," ""'''' """. 1'" olh.. ,,,,,,,,t<d ,I., ,I.", !,-,,,m",,, 'h" "d, ,oord,....... ,I., ,·.1"",., "p, ... ., «,..>t,,.,. ' 00 " . ... , prof,,. I. ""., I, ... mil" uy ,. ",,,, , I,,, ", • ....., ,~. A•• ,10.<>. '"" """" tb" •• ..,.. .. " , p",b d ",I" . d t'<I 'r "K I,,,•• )· b<" 1,.I",d b)- , .... 'b, f ", .. ,1"11 " . I. C "p' 2 " d ,. n , "I" la,oO ,..1." n. ,.,. b< """po"d ~'I,h 'h, d" ,,;.~ ,,' d,n . \C,,"' "" . ,,,,,...,.. rh, "" of", ,,,,,,10 profil,. i • . ,10, pan;"" from ,10, b." , '", 1<10 tJ" ,oot '''',. . , ~''''I ,.,10, fill<t. ;, "" . .... b<1oo<. SI"" 'k, 1</\ "d tI" .i .b, 10 ... prof,b . " """'" '"""" . • m"b ,lmphfioO _""" wil l b< '0 d ,, ~' fi "" __ prof'l< .... "'''P' "'." ".d • • POP<'. ,.,..". h." d 'hen 1<. """ '"" .",,,, ,rofil, • ft, " .>I,b II' adj. >li'I ,b, ",,,,,,,d profil< '0 """""'" ~ it. m, ""',·.... ,Il' Ioc ..... _k· t, I" "", po""" 'h, 'h", "",b .. iodl,,,,d , bo ... _. Hl' " '"I th, """"lp"""""''''"1 '" J"."' "'' m<tlooo>. 'h, ",·o,.".-b profi l.. of. __ ca. b< "" n ... pap<'. n, 'f'<"" I"yo't 0', "",Ilood 1" , ., ."' ""I" 10, rae, .. dn.. ~ ,ompoi .1•• 'he ,-n profil< can b< d"n. b ot tb, ml<, ""'" pan " "' of , . , ""•• " . bo "P""' "'oO " .Io." "lIy. A, 100,,,,00 d"~'b<" I. ,, ' Ioool. ,h i. """" .'rod.old "0"",. , 1".1" ... . [b" " P« ' " ""t " , .. "" of I. tho olio" .rnboO '" f" .•·h",b ' " ..I)' rood . pp",lm"lo", of """ . profil<&. fly I"'''''''' metlooo> . .d d'f><od"'l apon "'" b. m.. .. d "",,,m..,, 1"""'''1'.' """.... bI1 rood ",pi", of ,., b< d,,~", ~ ,,,. ca. b< • ...0 . . . . 'f><' "". ',,, f", "" "l' r""" _I .. "'. m"t" profil< to ~"' "' ,10, i0oi " • OOf7i'Jm .. ' ,... IIy ,10 I...."Md. ,., """Old I••• , __ , ",. 111' I ",,,, ,,d .10., '" lIb oth" pan"'''' of ,., too,b profil'. H.""·,,. all ,10, m<tkoJ . ...."iboO '" ,,, pro<i.o<' ..!T",;"', 'y , ,,,,,,, """'" profi l... m... 11 ,. I"" ~, ... ~' I ,b I"J' ..od.I ... " ... d "' .. 0 ' '''''4 ",' III. ,m,l l" mod , I". " bee...,.. 1""""''"l ll' ,M; ,u~ to m.I,,, I. ", d" ' IJ"I., """n<y ..d "'."." li"ly., "'<I' I• . Th, ~""" '". "",olood "d< .. n boO b<1o" by "" •. m"'od.... " i., ,., '00" " " ,I<" S,,~ I, 0 • • '''''P'''"' ''''''"lP'f><' . ""~',", prof,l<oft;" ''''''ootb " "I . ~,,,,k. Tk .. n ,b, ",.~I", ofth, i0oi roo I ""'''''' ' ' profih Fa ",I,odly 00 ,10, 0" " .. , 000.-.1 by adlo<.l" tap' .".. ~ p... . TIo< add"d.m ,f,'"""I."" . I. 1.2.'1_1< ", I' h ""P«' to ili pl"b 10 .. MM .• • " . "ovid<, ,be ' '''. ''''''1",1 1.. " • • of,_b th" ' ..,, and ,ootb n .. . ,,,. """,""" ..." "",fono", ,,, ,b, B..", J<.c. " PO ' IS, " ". '" ~'b",b " ,<th, ",,10 h... , doO",dwn , ~ ",I" '-23m. I. 'hI> " ••,...";.,,, '" So, . ... 00 ,."" prof'h loot, ,ap. S", 1, 0 •• 0<.",,,.1000< '''''pm", ""I• • P'f><'. d" .. ", P"" "", I, of", ... , to b< t,,, ",po'. '" .-b prom.. . ·111 b< ~",,, ' oO . Sltp l. The ~it<~ Ii"" MM <l,1ot ,.Itt, "'~ i. ~;Yidotd 10 .100<,.",,",I •• rl • •Sly h' 10 ...... 0 . .. d " mo."d , . b. '. __ _" .·dl . ... . b'., , "" .. 00 both , I,j" of,., ,·,,,,,. 1 " ",,, hn<. , • • .. m,l"m ..... . 'he P''''' ,lITl< of", , ..," <lhWkd ........1 ,"",,·. I. .. d "mb<,oO 1,2.3, ... d"n . 0 . .. d 1 ., 2', )'. <l<. T. I,,, I,,,,, , ...... t , I'J .m,.'. d" .· ,, '" """,111"."".,10 ',m "".." pmll" '0 tb, co .. " II" .. "'''' of,b",,' "d " d,,1 h." ro. ,be , ","0 "' ,j " n . Tho." d'on .. Fi¥- " .2(,1 .01>.;'",,11, . m, II.... , ,",,,,·.1 •. me", ,,, I,,,,, on" ",,,,,,,,,,,111 b< , , ' . I"m " " "''" I,. SI<, I, >/'''. pb<, ,, ' 10"'''''''"1 POf><' .= t h,," m ~I " , I...,' , " " '''. th .. th'p .. ,h 10 .. of,h, ~ k tool .. " 'J'ot '0 , . , p,tc h ';",1< til< pIlch ",,;01 I' .. ,loon .. l'8- A.l I", lb, " rt;".1 'h '" J' " .. ,be co",,, 10" oft" p",b ,;"'1<. of", ;'" " .u 'di ' n,. ....J C _ ,l'" ,lI io, ,_I 'oi,. 'iL ... . U .F• . A.' S,<I' 5, rh, , >ck. ~.''''" ;,.,d" ,b"""p"'"' ".,,". I"'P<' , ,, ... , ' h, I'" ",td, ,,,d,.;, ";,;01, , """, h ,)... PO!"'. lb, ",00 1, of ,h, ,..,. ;, "" ... ".., ..... ,h .. F"P<' br 0 , ko", F""'t!. S,<I''' No.', , h ,~ ood , . to t< ,k. F"p"'. ""h • ., •• ""'", .. of.... aod 'of"",...,"". n i, moo", , k.. 'h, ~ , " b 10 "" of,h, , ..,. h .. ..... roIlod 00 tho P'''' ,mok ... ,h .. ,h .. I..", ~..,... ta " ~' "' ,. 'h, at P"''' , . L. th .. , ..... tI .... th, ,ad i,1 10", ' h".u ~ h , ~;" "' tl",' ly .up<"mpoO<d oa F""II<II ,,,, ,)" .. , ' ..... fun ' th . . . th"" oft h,...,. . . bof.... Nut. , ki~ . od tb. P' P< ' ... " .. ""'"tt b " d 1 """,,;do ;" 'h, ......... moon .. " d d" .. ,,,,k ,b, .0"" 'b. ,..,•. U , " " "' ,' ., ,." f\ ,." J\ !\/\ J\ f\ f\ ,." - Il J\ f\ /\ ,., Il f\.. f\ f\ Il J\ n 1\ 1\ . . f\.. f\.. 1\ 1\'1\ ,~ .- f\.. f\ f\ f\ f\ ""U to, tac k ""th... K,F"''' th, . . - pro«'" r.. oi l to, PO'"" ,.. _ "de. ""'h, co"'" ]"", I",n,. ~ - 1 ...•• - I , • _ 1'.... k' _ " , Co;, .bould 0. .. k.. to ,n,." "" thoP'''~ 1",." ,( ", ' ''' ... . I~~Y' tho F""b ,,« 1. . , . 11 ""cn ~ v< 1""""_ "",<., .. Slop ~ T ", d", i"d profi I, , " h< m;"~>p<of ,", , oek proflb I bu . d.. ~ " . ..... _ ,..,." ... del;.."" ,I", ",an be ""'" from "'I.A..2 (b) " " th , _h ,..001<> '" l'od ...d l y tak" , >.hop<_ " ;,. p,,,;,.lo,iy ... ",.able;. <a"". t ~, middl< ""'"' ;, th. r,I""'_ W... 'h, <ft,..,,,,,,,. , '00 ,S A .... currER ........s eon...-,,_ .. O", ___ . . . . . . . . . . . ,,, ... . . . CUTTER FIg.A.I ...-..._ "'''J DDO, »llOO .'i·. " "",••'.~"'I' (oJ ,· v ""'! J ,... n:~ .,."I'~l ~'! " ""'JJ' P 4'i·~.,.!J<>KI • .,., _"" p'" ' ~ ". ' " "'1'''' '.' "'J "'''''' • • •• u,,1 '" "'U -, .....,. """1 ' -"4" ""J "'''''"''''Jo "PO' !.1 ... '."'JJ' P ~~ .. ," ~ -,,, ' 'I1N1JO ,~W"' '''1''''' w .,,~, t " ." . OJ , . ,J' " I".... ~""'''' I'"~ '" wo,', yl,," ."""'" ,~ , _" 4 .""'""'1''" VV -1'J" 1 -1""11"" ,. "",",f '" ,,,.,, '''I"wd ~.,., l",=>O' '.' ' .~"'I' 5'V >mlI!d -n. '>OS ' " ...,. '''''''''' ".' .' ·",,1 '.'" 4"'''JO ,~w"' JO """g, ' 4' ~' !" , ~ , 'f"" (q)" -V '""' " "'I' " ......, .'.' 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".1 (d •.", '00 h ~ • ,.,"""'" '><'0' •,.. ,.J'''''). " , .."., ..., ".,,' •• '" ,•• '0"""'....... ' "u ".fiL........ ,. 0. " ••"" ••• ,",,,• .,. ••". ". """pl< "' . ....... .. " ,,,. ,,.....,"" of ...." ". . . , ...,,''''' ', SK.,.". ""',."',,L.,,, " . ,." ... ",,' .. , ... "" ,« ". '0'.'" ."" ,"',,',.... L... Ib .... , ....... ". '" '" ,""'... ...,'" 'to .. '" L.". ,.•,...s , ••• ., " F,•. ". 8.H.",th< ••, ... "P""" ... ,","., ... ,.... " ., .. "." '" 0"" .... ,•• " .. ".,," .... '''' ... '''PO'' of"' .... " . ... of ... " ',, ofll'. I , Soe, 1." . •.• '>I', .". ,ho, ". ,," ,,, .... ,..,,, . "..,. of , .... " " " , . , .. ;I>.n "• •""0"- " " ••," '" . " ..., •• " .... of''''''''',<01 '"L" "., ,. L.. ".'«_1<. "",, ''''P'''''''''y , ,,,o wtoOl'" '"" ~, wo;,' •• y,., .".,' loop ......., . "•• ''''''k, ,,,, ••,, Yo' if, ·i. "",,,., . ,. ",,' ""'. ,,«,,' • .,. ........... , of".",., "" " .." ..... of,.. " ",,,, '001' ;" '"0'''' ... B"",,,, If,", ''''',' "'U ., "'I' ,,,.< ... " "'"...... , .. 10. oo 'y ,"" ~ < ,.ft , .. ' ''''~ o ... ..... .,. ...... 901 ' of"". "',, ' , ' , ,,, . . . .. " " " .. ,, " , F",. ".9. D.,. .....•poo ... . """,,..... ' '' ,,'',, ' '0"''''''''''''. ". """'« ,."."""'..po.... .. ,,' '0 .....;........... ,,' ,..,.,. (Of ... ,,,' 0 , ..".,•• ,"." ",,'O,o;"'y, .. "OI '001 ' ,.,,",' ". '" " .........". ,..""."'. APPENDIX B Construction of Cycloidal Gear Tooth G ..... ""'.I MoIhod w , .. "' '''' .. ,oil..", •• ". ,." I, .. , • "",. ",. ,., , '''' ... , "'o<".r,., ,~, .. '" "'. , ,,._ T... •". ,. '" ,,,,Ioid '"'''_ TO. ,.," , .. o. ...... "" ""'Laa ,,, , •.,..,,,,,,,,, " ... ,... , " """'" .. ,,"'" ,·.1... to " , ,·.".bl.. " '" "",'o""'''n .,."". ,., ,,,.1,,,. ,-. 1,,, '" •• , ..... ''''''1' _""" ,"".'.to"'" ,b, "",." ""' .bo.,,,._ Tb< '"''' '" bo '"n .<o .",,~ . II, ".b',,' bo"',. .. """.id l" ,b, ,'''' .. ol ".,,, ()'T ,. '--. .. U_I 1. \rolI "" ,b, ''' ' '''' li .. T.6 ·, o"lulf ol, •• ';"b .. ,." .",•.,. "w .., .,,",.........1, ..". 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[~!.6. o ~b", • " =,b ...dO" or" , """•• " ...,,",•• "".. b • ,....d'o, "fl •• d;",.,,, •• ", " ~ to , 'OK" 1100"" .... or, •• 'ON' " ., , •• ,.""..,,""' ~, •• di" ''' •• ,,,,!~ , ,,",'" ~ ,,' .~ O. ••• t • • • , , ' , . . t •• '>t .,-.,<101. n ••,","" r.. th. ,><><><,,,,,,,, ." x ~ (e Y bl""'b · I~ _ h).;n,_~ -- . (0_• ~b< . . . . ..... ", •• of,b., """,, •• "' pi" • .;« .. b • ,b . .. ", • • of, •• "'" ,'. , , " , •• ,,''',•• ,~, .. o n. "'. " or .., '0'''';''' th. ;... ,,,",. . . . ,., " "."".,"'! ~ "d ,•• ,·n'," t', ,,, ,,,",'" ',b.= O. ~ APPEHOIX C Construction of Conjugate Profile p.. A ••• i .... ,. n. p.!, rooj" '" profi'" '" ,..,,, ' '',... ~b ~ . " >of.... '" «>o j . .... ","0 •. 'hot " .' . ' ,~o pro O'" , • .,,, • •• • • f'" " •• d m ... '0 . ........ "" "po.. "" ""'1••• ,•• ". ,n ,'001<, ." ,•• " " " I ,." " I" .'" • " , ,,,,,1.,,·.,,,,. , " "•. W.... . •,•• ." . ,. .. I" " ~" ... <t. m,d< of,., o' . .. " ",...... " 'f" " fo'''' ~ ,. ,. , . ,• . A• • nf .... I " ". 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B "',. p.'" d " , " , . ,n , ooj" '" ",. 0" • ........ ,wfi k , •.• ;., .. " .fI, "h . ... ,". ''''. ,,,0.,, "m ,• •...ri.,....,,"".... ... Ok ""," oU • . ot B ,• • ",,, . " .... Ok, pointB, " . ",.. " • • d • ,,,,, •., .. ". ,n , .. 0 '...." ••••• ".," " " . n . ",obi . .. 00"';' '" fi . . . .,... ... II.. po'" To " hI ,,~ tim . " .~ ~ , .. , " boo ••to ,,' .... ".'" ' , .. '" 0, , ,,, tk. B ', , • •,.. ,. p;" , po''' P ' o,.,B, ;' .....o to"d .... .. ' bo . . . . " . " ,0-..Wu, P .. ".u •. d .. . , . ' " with "d i.,B,B·, .. hi,h , ""th...ef••m B, " B ><>!h. t PB . B,Il · " n., "';n\B "', .. ,."" • . N "" . " .. , Ok ....·o.i ... ,'" " . .,," .0'" ." ."' '' '' ~" ,."' , ',",., ••. " ... poi .. B', of.;", ,;"'" "><.'" ,,. ''''."P," ...., ." , .""',,.Ionrthof ~i "h'''''' ' ...,.., ';"" '''''''''• • ,., . " b.d ,. p. , • • ," " ~ ""'. "'" B·,;' ,hu, """ ",. Too • •• "., " • • ,,,. . .,,, II "'" , • • ••" .".. "" j ' I '" ' '''" ,. , d" . ... «f"", II ~ ',b 0 .,.. """ .... ou II)- ," . ' ''ow W,,' 0', .. " . "., . ... , • ..-c. "" .. dI., .,.,' .. 8 ,ll ' " n ~ ' " ...... , • • " . f.o. 1\ " iI. .. .. .. B·,8,. B ,8 ',. ,., ,, I , ;. , . . . .. ,... . .,,' •• ," . ..... , ... j_,,,. '"'' ,...........," of". 8, fI , .. " ,... .. ..... , ".,,~." , • • • C...._ " ' , _ ... profi .. F",-C.l • To ,om... ",.. H i" h. "" I '''' po'.' . An" m",,1 """'.0, ,~< p ..." " po'." 00 ,h,.,.., ",.f,b """'- """'I'Y 'h.!"" h..... H, '" II .. WOO. i. , • • ,," "' U. lb, ","'''''''' 00,,,,,,1 to lb . ,,,. prom .. P"' '' J tb'''''lb 'h, P'''" PO'"' i,"P. .. , • • • ,,,, ,1 .. "" "", 'h, '''''"pI<!< '''''J"i''' ~rofjl . iI,F f" . be , . .,,"", ... "",0'", po,m, Th, , ,,,,,,d I..." " i. Ib, I,., of ' '''><t.i. ." h< I,"" 00 . lUcb , II t h, P<> ;"to of, .. ,." ., d,If",., ...... 10". "i""" II b<c""" ..... d,f1k.h to lay <q ..I .... "h<o ' ". ,," i. ""d,jJ",.L" p'.,,,,,, I,,d """"., Ie •• " ,"n " .. "Dod ;. "",nbod "'low . -" h th . .. d of F"'- C.I (b , . ' 'I. M, ~ " f l,. C. lib) i. J"-<'n , It;, by • • "" "1",1 ;. I••• th "" Ih, F,,- «.,,,,,," .. c.l(.,. ""'!. '" N",,-, ",")00. ' ,."b . to J" Ih, .hooO ••. u""", ••. Tb, .. d" " ,"dr, m '" mm ",d otT by. " ,,, hi, ",.k. - ., ' _ '1 ·" · · ,,~16 , 0, ' ~ . r. ,;" ,. ", . b . ~r, ... .. oj, •. • Now. t. ro.d ,d. ~., "" Ill" ",I .. ,"", d '2 - ' , .i. 9, m, d - 2,., ". 9. - 2r, H"." "" • Z,., ".i!!'. ,io. , it] II'! ". (~"l ~"" ... "d • • ,," SI_··", ..«I·..-.,, _' .... _._ .... _iil_ . . . . . . . ,. . _ '" . . c .. .. .., _ ....... . "4.11 .... _ _ .... i .... oIf ... ' ......... Io I. . C. llcl. _ _ ... btl .. ....... -..Rl,, __ •. APPENOIX 0 Basic Dimens ions of Standard Gear Tooth (Bu ic Rock u per IS: 2535) - . -..,. .... -. ,-.. .- ,-.. ,.,. ,-". ... .---. ,-....... ....,. ,-,-. ,. ,. ,. ... .-,,- ,- ,. ". ,. ,. ". ... ..•• ,-... ,,-- ,.,. ..... - A .. d; .. ,,,,,. , .. . . "• ,. ,. o. o. ., ,. o. ".- , • ~ "'" ,,' ,., U!3 ,. ,., ,. o. o• o. o. O. ,. ,. " ~ '. 0 '" '" '" .m 'Q'" ".r., ,'-'" , 0- 000- OJ" ,., ", " •• 0> '" '" •• o. U" ,.",. ,..:11 -- 0." 00.'" ,- ,-,,. ~ U1> . .m ~ 0- ,,- ..-.. .-.",,. ,~ " - • ,- • • .." - '.-.. -- ,. .- -,., ,. •• •• •• ,. •• •• ,,,,". ,". 00_ '" "" ,,,- ~'" " , "".. '" , •• , , -.- -_.,.. ••••••,. ....-.-... .-.. ,,"2 10 " '" .."., "00 11."'" •• ". ,~ ,,123" "."'" ,,- " .100 10.000 00_ 00_ 00_ 00_ -,,". .--,.., . .. ..,,- .,.,,- .---.... .-.-.., - .. ..- ..,,,,-.,,,-... .. .... -.- .. .. ,,' -.., - .......... .-,,.., ~'" U 14 ,-'" .00 ,,. 0000 1.1'" om 00. oo. ~ 0."" "" •• 00. •• ' 00. 11' ~ .., ""'" "."" "'''' ,,,- ,~ .- ,,- 10."'" 00_ ~ oo- 0000 •• no ,.- .00 0- _ 00 " 00 00_ 0000 0000 .",,"_ 0.' "."" ,.U7> 1n.1M 0000 -', 00' 00. 0- •• oo. ",2< ". ,•• ,00' '12.10" ' :!i.1$D APPENDIX E Gear Materials -- --- , _-. ._----- --'"- .-"__ ... - - -_. -_ ....... -....-- ". ""---......-.... ..--- . _. ""'_........._--'" -- --=.. .. ---.... • ,• •• , • .... •• ~ •• , '" "" "" " "" "" " '" os:.,.,... ~ "m_ ~. "-"-"" ~- ". ". , •• ~, ". " n' '" OJ <> ,"" ,. -- ... ..« _ "' _ _ _ _ I""b , ~ , " .. , ""'00 = •••• .... --. bo_I .... u _ , ,- ~ "-~ .... , , ... -.-'"" _ _ _ 0 - ...... , ....... '" '" ""'" 10 . . ", ... cn -~ "'--"'. -_.== - ...... ""---- -_.-, "-- --~ ~" . ~ .- .- - .- ,--- _. - . .. ''''-. -_. .. --. . .......... . ..... -. . - ..- ..- -- .-.--. .. .-. .. .. .. ...... ....- --.. ,.- ,-'- -- .. .... ..- ---...----. --. .. - .......p._... • ." • • • "" •" ,,. I. • ,~ " ''''_d-.,. .... , _..... ........., "' ,,,.,'" .=............... ',., , ...,.., -. C• ~. ,,. '. ,. ,,.. ,. •• •• •• ,. •oo ,. m ,. ,. ,. ,. ........ _ _ _ St ", ~. ••• •• C. C. • •• •• . ... ·'1 ,. ,. ,. ,. ,. ,. ,. ,. ,. ,. ,. ,. ,. ,. ,. ,. ,. ,. •• ,. , OJ 0 '" ~ -- ......, .... ,,• •• •• •• • "" •" •" "" »• ,•" • • ,, f _. __ •,.• '" • m " ,. ,. ,'" " ,. •• ,. ,. ,. .0 ,. ,. •• •• •• •• •• •• ,-•• ,. • • ''''00' ,.,oo ,,-•• ,. ,. , , •• ,•• • ;;::~ -~ .... ~ ..., ~ --..:,:,1".:," .. - - - -.. -....- -..............- ,. ,. ,. .oo " , ....._ ..... " ... d _ . ,,, ,," '"' _ _ '"'- _ _ '''-In , , , _' , - "'<1>£-'-"-'" ..". -~- " , • b _____ ~_ .. · • . .. , . ~"_ b'''' ""'_, • • _.. d P. .... . . _ .... _ _ _ _ _ _ _ t• • ••••• , ••• •••• _ . . .... 4 ' _ .... - . " " . . _ , • • ••• •• _ _ "' PPENDlX F Table of Con tact Ratios (C R) of Spur Gears in Mesh _ .. G . _'.,'.-._"' _ .... _ ...c.o -_ ._ _ " 'b '" ,. -"'_.- .......... " .. .- " "" "" ,,"" ,, ,, ,, ,, , - " "., " " ..-- " " U1. "" ...-. ..M.- ..-,.-.-". .-.-.....- .-..- .-... .- .., '-'" .."" .- '" ",-,,. n '. ... • "" ,," , ," •• "• m .. ,,,,., '"' ,,,,. , !.OJ' , • ,,.o" ,,,. 10 , ,..,., .., t.'" • • • ,,,,,,,'" ,,,- , ,,,,,- ,- ,,W ,',., ., ,. , ,-,-''''' ,." , ,' ''' m ,,, , ,- ,. , ,,- ,m ,,,,,- ,,- ,,.,_"" ''''' ,,' ''' ,,m ,m ,nM ,- ,- ,-,. ,. ,- " ,., ,.. .. .. '.. -- .. m •" • , 1 ~" t., .. • .. '" u n t.m '.111 I ;,;, ,- ,,,..." ,., ,,., ,... ,,'"' APPENDIX G Tables of Trig onometrica l Functions -_. - .. .. , .. - · . ...... .. .. .• ....... ....... . .. .. . ........ ...- ... . ... .. . ... .. ....... ...... , . -.. .-..... ....-. .....-." .-...... ··...._. ..... ... .... ~ .... OS' ,, , ,• ,-,n. ., "' ••• .~ "" "''' , . .. . . .. . .",,' ..... .. ,... · · ...... .. .. . ... ...... .... •• ·.... ·..- .. .....- · .. .. .. .". 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"" •" ;s~n It 1:1 I I ' Iliii , o 000 _ I 0 ~ - 0 .I, ~~ , IWU • 51 00000 I I !• t ~ l ,,0,,00 s,,~~ ~ • .. N~ !~ I ~~~~~I~~~~ ~!~ ! ~~ I~ ~~~ ~~~~!~ J~ ~~ I ~~ ~~ i~;!~~~ _ ___ ~ ~!~~i~ij ~ ~i 0 • illli _~_~~~~ -~--~--- -~ I, um ,I - ~ jg ~ -- -- ~- -.-- ~ 0000 0 000"0 -- - ,;~.; ~~~~ ----- ~~ U= ~ U =~ ~nuu~;~ , ----WI! ~~mmll mmm! 0';0 Ii! ,i J .. ~~~~ - ---'~ - , "iii I. ,I ~~~ ~ I ~~~~~~~~~~ I ~R~~~~~~MII:I! -~ UH!! ~~~~~ mWlw liIm w~ ' IIBil , 0 1 _ ~~ l i .~~ ~-. ~~~ ~~_~~ ~ _~~_ N~~ ~~" !WHi m -=~u~u . ......n~ ~~ ~ ~~ ~~ - ~ ~ ~~~ ~~ \ 1-Im~wm!!!m I!!!!mm •I Xl ~:;: ; l s ~~~ l~~ ~ S ~ I. "~ ~ ~ ~ ~' s. I , Ii - ' --"'_." _- ,. .. w ,,- ,,-, ,...". U ." -.. .... ... ,- ,-, . ,.." ..... ... . "...... ,. -" . .., ,-, . ,.. .,.... ,,-, -,,. ... .,,, . , ,-, ...... ,,.-" ,-, ,-, -- ,,-...... .- ,,-... .-,,,. --,- ,,-"....,., , ,.... ~ 0 "" " , ,. , ,,- ,-, . , ... ,-, _.. u"'. >.I", ~, ~. .., ",. .- " . ~ 0 0 " •" " • - ~" ~., ,, '_11" u_ .U,,, u n. u m um um UN. U." '.to., ..,'"' u", Uf" UN. u, .. ..- ",. ", "UN. '" " f" 0' ....om ..,,.. .. " '.,0>, " "'" '" "" • " "" "" •• •• • " 'UN'" 'HOO' II.''''' ..... ,, , u ... ">0.,'" -w..,m " "' ..... " ".• • , • • ........ \1.13.120' ,. .. ,,_. .. .. --...•,.., .. .. .. -,,~ - " ,.. to • u .. • ,~ '.'0Il ,u,., ,,~ ~"" un. ' 0- ,~ 0 • 0 ' ,~ , - It ..... , w - ' APPENDIX H In volute Functions ---" 0, ,, ,• •, ,• • " •" " ... "....- ..-. " " " " '" '" '" '" •• ,. "',,,"'., ""'" 1'1 ~"'". 0.0011031 ." ,. •• ,.,. '" .w 000>00 " '" ,. on •• ." .....,.•• -,. •• omu , .., '" " 0_, ,. '.00400"" ...••'" on •• •."""c. ,. '" . " 0.""""'" , , •• -. --. .." -..•• • .•" • ... .... " .. ~"'m " •• '.00>1'" , '" •• •• •• '" •• 0<,,,>11 '" • •" •• " • , 00>>0" "• '" •• -. ..... ... .---... .... • • • '" •• •• , '" •• .••,...... '.""IOn .. . """"" " ~ - ." -, ..,...,.. .. . ...••'" ._. ••.. ._.. "" . ,. ,. ... '" .. .. .. •• .." ,. 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"' ,,, -,.. ., .-..,,, on , m ,,,"" ......•• m ,.~ • .<1 • • .. -..- - -.. -." ." ,-.. ., .. . . ,...'" .. .., -•'"'"• ,... .... ".... ...,......-, ._••.... •• .. ....'" -"'..,. ,... ..., ..... .,....'" '" ... ..'" .....'". ..'" .'""., ...,.. -,.".. .. ....,. ..,,, ..,,,'" .- ._- . ......'" , "' ,., ,<1 0._' m 0."_ '.,m" no m ' ~, m e.6I()\o m APPENDIX I Tolerances on Gear Blanks ToIonIlICH Oft Go., Blank. --........ --_ .... .., ----- ,., - , '" '" "'-"- - - -"-1 , ", "' , , , , , m "' "' "' "' "' "' "' "'m " " In IT> IT> In w "' -~ .... ....- .. , " • • " • • APPENDIX J Table of Tooth Thickness Tol erances Table of Tooth Distance Tolerances APPENDIX "- Table of Centre Distance Tolerances APPENDIX M Standard Shaft Diameters If ... ,. .. ,.,. .. roo ._;., .pp'~""" ." "'"';''''. ,•• fi • • ",;o .. ;, " bI. '" ,,';. ,., t.,....". ",,"' "''' "" rt>.••• " <t." ••••••"'"'" ; , • • ;' j"'o,'" . ";_r.",,...... ;•• , ..... u ...... , r.. "",,';0, "".,;, ••.•"". , b, "" '"I.. . ... ', .. , ..... W"';." ' ''''_ 0< ''''' ; • • , • • " . ." " . " . . . . . bd ~. 0; , ... ,.."," ~ """ ,., ,. -" . • • ,., '" '" '" '" .. . . • • ,m • . . • • • fl,,,.... " "'" u. 0'" ""r",•• _ D ••• " " , I. bo'd ' ..... . ,. ... I''') ~, - "" - .. ~ ,.'" ... •• - . ,. •• r''' ••. .- - ,. . ... I'''' " , ,. '" '" '" "'" -'. , APPENDIX N Table of Fille t Rad ii for Stepped Shafts In Torsion ~" • • • • • • • " • •" • • • " " • • • ~ .. ...... .... .. ,.... .... .... .. .. .. .... .... .... ~ .. ,. -:\ •• • • •• • • • •• ". • ,., •• • ~ • ~ • • ~ -,. ~ ',,-. ,~ .. .... .. .." .... " .. .. " ~ 120 140 ,. ,. , ~ - ~ • _ .. - -- -- f .," .... ..... .... .... .... .... ...... .... .... ...... .... .. .. .. , ! - " ..•••• -•• 1110 1 .... -.... -.. ,.~ ~ •• .. 2(l 2> .... .. .. .. "" ' 10 ,., ..., ... = ,.. "'" _"" 1"'1""' .. ..•• ...... •• • .. •••• .. ...... ....... ". .... "... ..... . ...... ..... .. ...... ." ". ".. ... ..... ....••..". •• .. -- --•• :<00 """ I(:<) 11.0 " .0 ,...r."" .... ;;(1"), 1••• ;.,•• _ ...............,,.. onI; ••,,· .pp,.........." . r... pp~, .. "" ~ .... ",," _1","" ,n_,'.' ......, affiu." ,"•• Id .. ....... ..,. , •• ,......., . ..... _ ... ,...... . ...."0",,,,/1....... . . . -..... , ... ;,:. ...... ......... " .. fd", ...... " .. p,;.; • • ,• • ..- ......... ;; " 'r" ................. APPENDIX 0 Key for Power -- ... '-' • •• ~ O· .• ,'".. .. .. ...". ". 00 00 Ismlsslol _. ...- -_. _. - -" -. T_ • • • , • •• • .. "," • .. " ," . ••• • ...•,. ~ 'M . .,. ....,.., ... ..,." . .,'" .~ • .~ .0• .Ut"" " .,>0 ° 'M ....., ... ,. ° "'.0<' ° ° ... ~ .~ ..,.," _ .0.0 >" ...,'''' 00 "'.010 ..,.OOt .. ° ...,.". .••• • .. . .. "" . ••..•• •..• ,•• . ° .... . ° ...... ...... •••••• • ° ... ... ..... .... ."" •••.. .".00'•." ,. ° .° .- ... .. ... ... • • ••" ,• •• 'N' ....,'"~ ° .0 » , 10 '.10' ," , >0 .M ." 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" ""''''' ."t. 1.."" ,."" . ............., ;. ,,0< oI,,,,, ••• L.. "",.... " f" - • ," "" ,."" "" " " ••• •• "'". " ."• .. "" """ """ " •• ,." "" " .... ..,• .. .. '" ". --"' •• <7.0 ..-". •• '" '" '" '" It .• ... > 0 '" - - - -, ,_ . • .. 0 0- .~ .. .. •• '.1'" 0 0 0 ,,• .. .. ,• •• .... .... "," ,.•'" ...... .. , ..,". .... .. ,..• ,... ... •• • .... ..••'" ,..'". ........,. ,..,.,.. ,..." ........ ,. '" ,. .. ,. ,. " .. •• .. •• '" •• o• o. ., 0 o. •• o• o. o. ., 0 0- o• o. , • o. •• • O. • A.51 '" " ....... ' ':r'O..... . . n". ( MIf' ., , l\~~\\"'\'1 W f'k .......... ......at"' ... ) _- "' ...., ......u• PARAUHKEY T." " ",,,,," ,, ><I,b oHoy.,..,. (6 )'" i;,'m ;n ,~, .. Ok , ToI.,., ,,,,, 00 ".I,h .n,y' ••d ~ 'y_ "")" ' ", •• follow., .,. ••• ,.. -.., -,~ .! ...... --._. •• - u .-- .- -, , ''''-'·u .... '-' • .. ) • ... D,' . .. ·u .II,"ri,' of"':! Sto, 1.. ,...,, 1, "'<Oi'""'" I", ,h • • 6OO N',"",: D,,;, • .n.. A p... lld ~ oy of 'YI" A. " " ""1 d,m......... ,.',d" 12 mm . "'JIo' ~ mm • • d I"i" j'm ,". ,ull I>< ",,,,,,,,'M .. .... 11.1 K<y A. " , Ix ... IS, , ... c",./., ... C. ,,, ,.. ," , ;, .... lIy _ ... , .... 'Y ' ''' """"" 'pp"""""' " tl>< ~oy ';R. 'ool """ "-. ~oy "WI ,,,.mo'w.,,,,,,'y "'" """ -. ,10.,.. 1'" of ,bo,'. ~ d" m"" Ooc""",, fi ,"" . ~,"" , 0' 0. 1 .. I, .,." .., r..- d . to""'" ;"~ Ih, ,b . ~ d, . ... '" h," 1><<0 " niM .. t, Tb, .,,,.,,-d'"lto II>< . b. ~ d" rn"" "" 1'" ,I>< " I""",, H.,",m ," ""I.,,,," mor Ooc""", "",",.",, ;. >on,."",",- n, m", d", d.-.,,,&, ... ~'r " ..J.' "' ioth, """.".",, .. tb«If<ct;", , ...... >«""" •• ,.,,11 •• ''''.. ,."''" It" "'" I, od ;'J t. '" . . . (J . . .. ru~ locoli .. " """"'. To..we, In i. ,ftOd.ln, .... ft d ... """" ..,Ihin In, hub 1<0,"' •• , b. i ""'..... by .t.out 3~ or it m. y oJ", b< " " ",d.,.. d byb.rd,o••• . I'h< 10110.· •• 1'01 ... 0,,, ... , b< u,," for n ob .. in, . "", I .h . ~ • • ,f" ,;; . ,1><" L.(... ) _ t ,n"h d'hub .• (.to) - noel.." .. hub.IOD·ID ofhu b)'l! O"(N ,to) _ l 'orqu<. "d X . nd y , .. ,,,,1\",,;.,,0.,. follow. x • 0 .13 to 0.10 r", CI hub _ 0.31 ,. 0.41> r.,,- >1", 1hub Y • 0.1110 0 ." fo , Cl h.b • 0." '0 0. 11 f", "",I hub CiICumf..."ti oJ f"", F(N]. ',." , m" 'O< by ' " • • r I'" p(~ . ,,):': .,,", ",!(em) _ 0 , .... "', or 'M ~ _ h (, .. ) _ fl<'I'" of ko I,m I .ll<pth ofl, y on, WI< .hofl ooly. L I om) . l,"~'b oft')'. i • N......... (Nlem') • lI<on'l ;=<,." • ""'" roo CI b.b • 0000 f.,.- >1",1 hub. ,f"",p y,', APPENDIX P Gib-Head Kry for Power Transm'ission L"hOC' ' _.. "Sib-..ad k<y> ' ''' " p« ' h< rol"""~tab l< ba=I "" ,S, 22 ...,.., • . To .... ..., .. ""i• • ,,,, >1m, I".h .odf ..-ma'", .. ' foc," ho.< of..... 'I<' k<)". o..ii'''""...y"..... Sib-"'" loY'. 'h, .haft uy-ny mu" b< Ioop,h •• ,.. k<y •• ' hat '"""'" ~<~ ,<. ~ , ~<y ' " , .. ..,... ... "*";" r"''''-od<d r..- driv .. ~ 'h, ~ <Y" ih' w'nl< fiK"" C~ to !'An ' I" koys.' h, Sib-...,j k<y> , an '''' • • mll ...... ~"" . ...... .-_ .- G.e HEA D KEY • • . .. . " " 0 --... -. -'=', , • -. .-.. ... ... • • - -... --.. . ."... .- · . .'• . ... .. .. .,. .. ... .... .... • ~ • ~ • •• • • ~ •• •• • •• • " •• • • ••• •• , " • • " • •• •• • " • •• •• •• ,. •• •• ••• ••" ,•••• "" " •'M• •• , '''' " " • • •• •• " .. • •• •• •• 'f· . " "•• ., ., o• • . . " • •• • ., H'" •• ...... • • •• •• •• •• II, 'M •• "" •• •• •• •• • , . ,. • •• •• • • • • •• ," ' ,••• ," ". •• '.' ' " • oo ". " ••• ••• • ••• ." , •, • •• "' • ". •• ••• •• 0• • ••• , 0- ,. , • ••• O . '", ". . n • •• •• ., oo ,. '" • ,. ,. ,. • " '- " ..,019 H H H 0 0 ... .. ...... H .. .. . . .. . ' . .. .... '..-'-- .. .- ..- .... -..- ....- .. .-.- --..- .. -" . -... .. ~. oM ~ .. .. ...... .... . .. ........ .... ..--.. .. .. M 0 ~ OM OM APPENDIXQ Tangent Key for Power Transm ission AlO ' ..... x . .. ,,.. 1 .... " • • , , ... .. " ,.. " " ..... . ........ . ' " .,.... . . .. . , on.,." " .. . ,..... ;, ,, .. .........". ,. ..,• • ,.." .... ....",...... ,. ,. ..... of n, _• • "" ...III. ...III" "" TO • . . ., •• ,,_ ... , •• • • , ' n . . . , ... " "'. 11 ...... " " - ,. • ,. ,.,.,.'" ,. ,.,. ~ -.. '-~ " -. -, " " •"" , . ". . '- • • .. " • ,,, ,, ,, , '. , , ,,• ,, ,, , - ---,." ....-'" .. ....•• ,.,. ..,... .... .... ........•• ......,. ....•• ..•• ,. ~ ~ ~ .. ,- - .- , , • ,,• ,," ,," ,,•" , • •," ,," "" "" ,,," , .... .... .." ..•" 00 "• ,."• , " •" "", ,, • " •" .. ..,..,.'". .... ,..... ..'" '" ..," .... .... ," .... .. ,. ,. '" ,,, ,, ,,, , ,, , ,, ,, ,,, ,, •• • •• ,,• , ,, ,, ,, •• •• •• •• •• • '" --" ,• , , ,, ,,• ,,• , ,• ,,• ,, ,, , ,,• ,,, ,,, ,, , •, ,,, ,, •• ,,• •• .oo APf'ENDlX R Straight-Sided Splines for Power Transmission .u. 0"" <1«., .... "'" SPUME .0... """'CU' ......", .. OOR< i 0....... ""'_10 ....... =0 T1<E ru. ... <Y . .co. ........ <£'0' ....., . . ......... lIe U" TO 'H E ......... POlO, ... ,," T1<E IllO.. .""D< I<CCOIIDIWG TO ••m UUT'l 'OO"'" SPl ... ..... """""' ..... . 'I sTRAlGHr·SlDHJSpUl<u -~ - - '-.. '. ••" . . -. "" .-- - • -... , • ~. , •• •" " • • • • • " • • • •, •• •• •- -• "' •• •• ,. ~ ..n •• '.' -.' '.' " ,", , w '.•• •• • •• u '.' , N, u U u •• •• •• •• , -, u •• u u "'. • " ..... .... -ICooIOI ~. '. • • • .~ • ----- Dnit'_i<w< •• • •" " ~ •• • • • ••• • -• , •• .••" ," •• •• • •• ,. ." • - .. ~ , • "" '.' .." -•• -'.' ••• .... ... "'.'••• '.''.' ..."" . .. '.''.''.' '."'.'' '.''.''.' ',0 ' •• .., •• "• •• " ,. "," ••• ", •• •• , """"" '~ . r. ' . ... . " . ....., . r, . . .. .." _ 0 ,1 . .... , . .." " _ 1> .... """,." .."" =" .... ".,,-....'.11,•• ~2S><32. "" .. >1 --- '. • -..• - -.. - -.. .. .. .. .. .. --. .. .. .. .. .... .... .. .... .. .. ---- .. .... .. .. .. .... ...... •• • " " •" • • • • •• ••• • •• •• •• ••• •• •• • • •" •• " ..,.•" ..,... .. - • • ,,. ••• •, •• ."', •• ., •• "' •• • • •• M.' "• •• •• • ". •• , . "' •• ., ". • '0'-' ,. " , •• •• ., •• • •••• ••• , ,. •• ..., ., .." •• •• '.M oo • ., " ••• " •"•• ., ., .,•• •• •• ., •• •• ., •• ., ••• •• ., •• • ,• •• •• •• ....•• ......•• .."" , , oo " •••• •• •• " .,"" " "" •• •• .... ,. 'w " • ,- • •.. - ~- •• • • . ... . .. .. - • , ..• .... . ..• ...• ... .. " " ," m .. • •• ,,, -."'"', -•• .. ........ ,. ...,•• , .,•"'• ..•• .. .. ..• • .,• • .••••••, •• .. •• •• •• .. •• •• • • ., "' . , ...• ,•• .. ,, ••• ,•, .••"', .."'• ,"'"', .,•• ,, .,. , ,• ,, • - . • .. '" '" " • • "• " •- _ •. • •• • --" , n .• •, , • • • ,• " '" m '" • •. "",, • • .- .. _......- .. .. "' - - - ....-- ........--. • --."" 0.," " '" -- ""----. - ----_ .... ........ -_ ... . -- --'. -- . - -'''3_ ' .~ _ "' '" "' .. "' .. . ., " . . __ o• , $. . '" • •• " " ." ." • APP£HOIX S Tables of DimensionalTo lerances 'OlE"'~CE "ALlin II/~ . , _ _ .... ~'· b .r"' " .............. ... .... . '"to ' .... . ... ..,..., \ , ... S oUt , • • • • • • "• "• '" "• ", • • • • , • .. - • • • • • , • • • • '"• • • ,. • • • '"• • • ,. "• • ,. • • '"• • , • • '"• - •• • • • - - • •• • • APPENDIX T Tables of 5 1Units and Conversion Factors -.---- ,, • •, TIM' •• ......... do..-_ _do" -- -• ----- • • ••• Otlirrtions , . n, m<t", ;, ,10, '<O J, b "' ... , '" '.MO.763.n ... " ''''"i, h. i. ,.",.'" of, h, ,ad .. ",," '''''''''''''''''"I '''0' ,~,," •• b<t.= 'h, '''''If bd, 2, .. "d6",of,lo, ''l'",o • .~. ",,,•. 2. T>, ', '. "" m ",10, m", of ' h, ,""",.1<0,,' p<otolyl" of ,., "'''I''''' . b h " i. 'h, """"'y or,h, hm," ,, " ,"";••• , d" p. ,d, <I . M""" (B I PM , .. S<""•. "m P,,; • . J. r b, """",,, " d" dD'" ion of ~.1 ~l . M, .77() 1",;00, oI,h, "d .. " •• '''''''. ""'.''''g ,. "" ,,,.,,,,."""'.',<0 ' h, ,~-. b",,,r,", b,b of,., l oo.od " . " oI, h, "" i,m· ' Hoi"" . 0, H .. mpo,. ioth«oo" • • ' .om", ~·1ud,. i fm ... '"nod i. two"",Ib, p",lId "'""'"' ,..-, o, .. fi. il< ''"I th. of""I"iiol< .;" ' ,.. ''''''' ''''""' , •• d p...... 01 • d,,,. ,,, 01 'm<t" ' e' " ;n. '·"Dum. ~'ould p<odu« bot.· ... 'h, ,,,",,,.,,,,,,, • r."" ,~. , ' '02. 10.1"'~., •• "" m,", 0' 1<01,10 . 1. n, ' ,"vi •.•• It oI'''''.-y ..m« ''''1'''''"'', i, th' 1\-",,,,,, ,.,l....r thormo. 'h, dy.. mi , I<mpm'.., or,h, ";pl" P",", 01 ...."'•. flo, " .dd. ;. 'h, '.m.."", '"".'''y i. ,10, I"""",h,.' .. . ,""'''". of, ,",r.." -I ",.m ,."" of. 10"", body • II h, I<ml" "",, of ,OU1I "'~."'"' 1'" ",0&" m<t". l. lb, mol< .. 'h, . mo.oI of •• 10""" 01. i, 0 .0' , 00i,i" .. 'h", '" oI. m, 01 .ff"", i"i p' .."•• m "' d" , P'''' "'' 'y'"'' ~'b",b , ...... , .. ""y d,m,".. y 1','.",mor...1ooo Ll. ">00 ,. '"' ... I. odd ,n "ni" d,,,,",,,,, at""..,.,"", '" t~'o '''1'1''''''''''''1' " n," m ... " <om,n' ""'mollpla,, &nl '"nd .. IXI .. ,,,- • I , TIo< "d .. n '" ", ",a" ..,k ~h h. ' a.,n, ,It "rt<> "' ,b, «n'" or. ';",k, '"" 0Ir. I" l th on th, "", ... tb, ,in ~ "" .. I '0 " , " d," • ..-,h, d,'", . •. Th,,, ... d,,n;, 'h, ooltd .." i< ~ loch. h";"1 ;,.,,~<> "' " , ''''''" .... . p....... ,"" ... an " " on ", , ",foc, oI,h, .""", "'1 ... 1,. th " ..... ~U&" ~,,", , ld""-',,,,)' "" .. I" 'h, "d ," , oIth, .ph' ' ' , f","",'" _ ..... UnO. wOh s,...... Unm. S"",IHtI rbo sl "n," '" . ",m,n«d by ,h,d<ri=J "m" ,S",d. l nam" h,," """ odop<od ro. """"of 'h, d,,;"od SI "ni". to~"'" "db """,., " .;, 'l' m bol~ ~ h>< h . " I i,'''' ""low, TIo< .ymbo" .,.",..i 0J i 0 'h, Q.. ntlty rot...." "' ..... """...... to 'h, ""om ........ , ..... of ' h, ISO. " .. p«fmod 'hot th,,, ,ymboh.t< ...... '" ",,""0", . n" f""" "I..,,. <if«, o,<nll ""' r"""ity in "","tlr", .nd ,",,,I ~-n"" p , F", ",. mp!<, ,,,,,b , ymboI fa- r""" i. ond i. no """" I' "' Q • dO: ., • • y "''''' lott,,", • , . ""l ,« - , r ""', , ' _ ' ." w _._- -_. ._--· ... ---... .. · . , ...... '-" '- - ' " 'N . ".IM' .. - - -~o~~:' """"_. ' ,, '- ' -~' -~ ..... tJ ,' N~ . W~ • ,._,....' '= , I' ) • .... _ . _ . . . . _ ' .. _ ' "" 0;00 _ _ ....,.-, T ...n C• .to , d Units_ Compl.. _ •• ,,, •, •, ---~ ,, _ _I d - •• •o =, 0 --.. ..-.-.,,. ---- ----- ... .- ~- •, •' '"""-- -'' 1>«,...1 f, .. M . " . " m" lo ;pl.. d S! •• ;" . I....."'k 'k' " h• • , "",fox" ". , ,,.," '" , I>< f."""'·;"I tolol< . H'''''''PI'''',,;!fo<to''br,,!u,h , b, bo .. ",to ",", 10< .. ,Io ;p"<d '0 ..m • • , • b"I><, 0•• , ... 11.. "''' a. ;' ,oo,u,,,,tfo<,b. 1"'1""" d " 1, ,1,, .... ,10"' 10"' ,... ,,,' ".1> 10"" 10"" ... ....... - -.,.,., -- -., - . - ----- " ,, ,,' • •• 0 ~ ,, ,, ~ ~ ,," ~ 0 ,,_, Comf"' .... !",r,,,, ,)""Id not 10< ""d . .. "",Iy. U-9 .... « '" 'P''''''''''' 0,. 10m. .. ' .ot ' .. ~m, 1,., ..1,,,., ,b. ,.,,..""... f.. ,." of"""" i mf""" "' ""It. In '''''''''''' .,,&' '" l'''' ;.,b. folio.'''' " bk I••..,b labl • . , b, SI ••It. '" ..,It"••·I,h;. tkod. 110", 1 "' ''1 " .. _.- c ••• _ , ro<o<><" ..... , .,,_ I 0.'''' ,.., . 011 . • ' ..... '0' " .....-. _.---.... u.,.. . , '_1'1 " ('hI '" .. ".- 02ml" ,. , ,.,. , tI". IN"I '"'" . • • "" ,--.'-.... -'---" .~ -. '_(WI. ,, ~I"" I , ~ ~ "l '_n>mill"od "- I ' .... _,k .. M 1_ ... _ " .... -1 ~, __ .'.. " " • omm. 00' ""W0<' ,,' .~, "., ... ~ .' lJI , to" •• .,. .0.:>.,.,0' .' .,. ...00!'f' .", n.' • -- ---- -. --... ...- .. ••• -1"1 .~ ' .10' ~-'.1' • •• , •• ";,':';- • •• 00' _. ,,- _. ".11' 10.' c~_._."'''''''4_ ...,.,. ,.-1 , -'- P •• ~ ... ,,~ 1. . . 0.11.... to'" •• , , , . , ,......•• ' ......... ... ~-" , ..,"" 0._ ' " o ,--,- .. ,- .. :t' ," '-!:'II , ... "-,~~ ~"- .",.,0' ,,,,,,0-' .",.,,' ..,,", _1 ",,0' - .,.., - , • " ••• " K .... '" . . . . 01 .. un"., w> " ,,~. ," ",. . ..,,' ~ . , ,- .. ,.., • ]<r' , ~,." " .. ,. ..",,., w' T .. <•• " .,'", ,-. 1". of . ........ , ;. St •• ;" u. 1"-" i. ,., """,,-.. , " bk . ..... ""'-c. '" . . ...... - - ... ._10·" .. ''"'~ ... . . .. UO W_ ,.,,, 1 .,." .. ..,,,-' " .,,~ 1 . ... - , , , , • -. - ,- ,-_ ,-........ -....-,--- ,-_ ..----... ... ,,,,, , , , """" ~ 0._' ..' 0H.• ,_. " ,_.. ,' . '>.. '<_."' ",M" '.- ..., ..,,, ' ,~~ ._"",,-' .. 00.,.""" .... ~ ,.'*,......'''',o. .' ' ,~" "' l .l! • ,• - -,. - ,:~ 7. = • • " " ~. -- ,., 7, ..... ,-" ._. ~. ,.. a . .... " . ., ."'" , .... • ... ..· 4 ,.... 11 •• '" ." -.' ,. ,........ OF"" , ."'''OJ ,-, ,APPENDlXU Tables of Preferred Numbers and Sizes 0 .. , . ,. ,. ... -- •• •• .." •• ,. ,•• •• •• ... - --- - • . .....-. -. ,,.... ... . ,.." ......- -,," -. ,. ". . ,_. ."."". ,.". ,. ••• ,. .. ,. ,. •• ,. . .", ,. ,.",..." .", ••• •• .. ,,," ,." , ~, ,. ' •• '" ,. ,." .... • •• •• •• ,,' "." ,. ,. '" •• ,." ,. l.N ",. ,,," .., .~'" , oj", u,,' 'A ..,'"'" I." H' ..•• •• ,. '" '" •• •• •• ". ••• •• •• ~, "" .,."" •1>. , m" ,.U" ,."" .0.11 1.1". -" . ,-, .,W -0." 1.' '' ' '" ,. ,,, • 1 ..... 1.' " , I."", I.'''. I."" ..",. ._. . "."" 'A", ,.."" ,.. _h' -<I." - " " •• •• ." '" " '" ." ", , '" '" '" . •...• .," ." ., ""' 00 -.." «, "" .'.r> ~ '" ". ,. '" - ...,- •" • _.-----.. .. . . • •• . . ... •• .. .. •• ,. ,- •• •••• .- •••• -•• .._,..,,.. . .. .. .. ,.,... .... ...••..-. .. .. ,.... ....• .. .. ..-. .. .. .. . •.. .. .. . ,..... ,... .. .. .. .. .. .. .. ." ..... .... ••.... ".. ... .... ... .. . .. .. .. .. .. ... .. ,... .. .. .... .... ..•• .. ••,... .. .. "- , •• •• '" •• •• •• , " " 0 " u ,. " ,. • , " u • •• m '" •• •• " • n ,,'" , '" ,u , ,-" <0, u,."", ,.. '" . '.0> u,'" • '" m 0 ,. u • • • • '" • • • • •• •• • n • • u m ".71 , • • u ~ "" • • •• " APPENDIX V Surface Quality Symbols and Their Values ";. wtF"'." bk to"" I. " •• "k. 1",f..,<of. ~.oo."f"<'" ;" ",0'''''''. l 'k", ~. , • • Iup""""""" <1<,;",,,,,, f..- ,b. "k. 1 •• d ,h • .." •• 1 , .• ,... "'"l' "" ~.'" d,ff", .. . H.", •. I;mot ,., ' <1<';'"0''' ~ d, ,,,,,",,,, .. 1 " d •• , f.. , ~ •• h'y ,·. 1... , , I.bo"" 'Y"'''' of ,,,10,, ", .. bod. h, ,, "" .. d<.·;w. S;O<, ", od ..1,<Mod"""" '" ",d;.,,;; y ,," "" I•• 01". ""1" " o~"" 00"", p'"'' '' ,10. rmxi""'" "" """","",oJ ly ..... 1. • • d ,,,,"!,,, I,,,·, ,. m,, ' <o, ........ ,0<1 ~ t ok",,,, . o.d ",,,",,,,hi. ,.,1",«00<1,,,,,,,, of,b. ~. ",._ P;«'" ,., ' a "" """,o;kd foo, b, d,,,,,, .. ,,,,,, a fib."", •• 0'.1 I•• foo " . ",f .. , _lb, d, "",",,,,.. I 'al ... ",.. b.,. . . . . . ~A'" ,. App<od" S . I. , , " ,~" , 'h' " n.« ~. , h ' y • • d ,,' 1""" I,,; 01. vo I""ho".Io" d..1t o'hh_ 0 ........ h",d,,.. ", d ot •• 0' '"' I.,,,riol d" o· 1' 1 m" '. ,k"f.,.., . • 1,.",,, ", . ,.1""""",," . bo., ,bm . 11"",·.01. ,·. 1... 01" S.no<. ,and""", ;. 0 rw..",," 01" ,h. r.-oc", of ,""of.., "". """b,.;., •• fi ... h"l " """I.,.. 0001"'" "d .,.,.",......1 ' ", 1"'" hut_"'" '''''' ' m~"'" '0 th . . .<ri_ p;oco,Th .. mieolly, ,, ;, ~bk" f"'",rlb< .1 1 , ... ;,,,.... . . ,1..,. q•• I"y_ I. ~ ,",' I «. 'a ,,,,,,.01 "'"""«. " ,a,''',.' ",," ok,"""", ,_ ",, ~·'m. 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I '.(" lmb"'J'"'''I" n'''l' 'I''''<J 'II"'; - - .... ' iL sV .... , ' .. ( " _ . 1O<I."riol S, _ loh, D, ~ " . , . " ,......._ ~ •• IH) ,.10411<0,,,, 10 I.;' . 'J, I••• ' ........ '" • ... In...... h ..... _ _ '" ,.. ,;.... Io.~ ... t ._u ___ , r, .. _ ........ '....... ~-- ' , ...,.. I ..... " .... ,," r' ccc'c_ ' .......L . .... . , ...... n " ....""'' ' A LlO . . . . " , , " ....... . . . .'" • . , 1\'(\, " "J - - .. [,"~ ,. . ,., • •• , , •• -- .- ~ U . . .. • - APPENDIX W Checking of Gears by Means of. Balls or Rollers I. d•• p. ,," ;"p«';"" d'p' rtm,,". , .. " ' " .1Im ,hock<O by m, ... ,.. " p«''f'<'',fO«l d ,,',," bot." .. ' '"'. ,, ,,11>011 • • , ,.lion d,.",,,,,,,lIy oppo. h, ,_k . _ of , ho I "'· F.. , b" 1'""""'. P'" ., 0' ;to . " . . , ... moploy<d. Tho> ,od ",," hoc ~ ;.,oI"l.O<t,h , h,, ' . , .. ;'"'"'Y ..,,, ,", """Joo,j of, .."",,,,,,, ;00. n, I " "d",.." ;, m",."d ~ m... , " V"",;0, n Hpm" moo""""',,, ... , m ,I " m , ... ,; . , do, m ,W " ... 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