parcial diseño máquinas, hoja de cálculos

8/18/2019 Parcial Diseño Máquinas, Hoja de Cálculos

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Material Acero Forjado AISI 1045 HR Fmin = 2500Sy = 45 kpsi Fmax = 11000St = !2 kpsi

"xiste #ati$a por lo %e &ay %e de'nir (# y (#sSe

)a* )m*+ector My

,n$lo Rad F- Fy )y0 0 11000 0 01 0.01/452 10!.24 11./4/1 140./0/2 0.0405 10.21 !.!444 2!12.!1 0.0525!! 10!4.24 5/5.551 421!.40!04 0.0!11/ 10/.204 //.21211 522.5455 0.0!/24 105!.141/ 5!./11/ /024.2 0.104/1/ 10./40! 114.!11 !425.25/1

/ 0.1221/05 101!.00// 140.52/! !22./1/1! 0.124 10!2.4!! 150.0411 1121/./5 0.15/0/ 10!4.5/1/ 1/20.//12 120.00

10 0.1/452 10!2.!!5 110.125 1.4/411 0.11!22 10//.! 20!.!!5 15/./!!12 0.20451 10/5.2 22!/.02! 1/5!.1!1 0.22!2! 10/1!.0/0/ 24/4.41 1!11.114 0.24441 10/.25 21.140!5 14.505515 0.21/ 1025.1!41 2!4/.005 20!1.45//1 0.2/252! 105/.!/!/ 02.0101 2221/.0551/ 0.2/05/ 1051.52 21.0!!/5 255.!!541! 0.14152/ 1041.21/ .1!4 240/.5/11 0.1125 10400./04 5!1.24/ 2241.01/20 0.405!5 10.1!! /2.2215! 2/5/./221 0.5114 102.!4/ 42.04/44 2!!!5.422 0.!/244 101.0224 4120./25 014.221/2 0.401425/ 10125.554 42!.04241 14.!224 0.41!!/02 1004 44/4.100/ 2/!.!425 0.421 .!5 44!.!00!! 404.0!12 0.45/!51 !!./451 4!22.0!21 5.!02/ 0.4/12! !01.0/1// 4.!55 52./1

2! 0.4!!21 /12.4252 514.1!/1 /!40.5/!2 0.501454! 20.!1/! 52.05!2 0/.!50 0.525!/! 52.2/44 5500 4001.2411 0.5410520/ 42!.!401 55.41!!2 4151.4/!2 0.55!505 2!.520 5!2.1111 42/12.!0! 0.5/55!5 225./25 51.02 4!.25!/4 0.54115 11.41 151.1214 450/2.5 0.10!524 010./24 0.40! 421.!51


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0.2!1!5 !!.1!4 45.//! 4//.50/ 0.45//1!2 !/!4.01 1.525 4!50/./!5! 0.22512 !!.11!2 //2.2/2 42.!4/ 0.!0/!41 !54!.055! 22.524 50/24./!40 0.!11/ !42.4!!!/ /0/0./1 51!10.2//541 0./155!4 !01.!05! /21.42 52!/.!

42 0./0!2 !1/4.50! /0.4/ 5.5!!54 0./50415! !044.!0/2 /501.!1 54/0./1444 0.//44!/ /12.//! /41.2420! 551.1!45 0./!5!1 ///!.1/45 ///!.1/45 54.5254 0.!02!514 /41.2420! /12.//! 5/!0.5/424/ 0.!2004/5 /501.!1 !044.!0/2 5!4!.2454! 0.!//5!04 /0.4/ !1/4.50! 5!.1!4 0.!55211 /21.42 !01.!05! 0!1.450 0.!/24 /0/0./1 !42.4!!!/ 1/45.0!4451 0.!011/2 22.524 !54!.055! 2.!4

52 0.0/5/121 //2.2/2 !!.11!2 515.255 0.250245 1.525 !/!4.01 4/2.00554 0.424//! 45.//! !!.1!4 520!.//!/55 0.510 0.40! 010./24 025.!!5 0.//!4! 151.1214 11.41 !22.4!/5/ 0.4!// 51.02 225./25 /5!.045! 1.01220/ 5!2.1111 2!.520 !54./!245 1.02/442 55.41!!2 42!.!401 0!.!10 1.04/1/55 5500 52.2/44 !0./!11 1.0450!4 52.05!2 20.!1/! /04.5202 1.0!210414 514.1!/1 /12.4252 /11/./!5 1.055/4 4.!55 !01.0/1// /1!1/.!44 1.11/010/2 4!22.0!21 !!./451 /2445.025 1.144401 44!.!00!! .!5 /050.5!2 1.1511/1 44/4.100/ 1004 /4.024/ 1.1/0 42!.04241 10125.554 /414.//! 1.1!!2! 4120./25 101.0224 /4/.211 1.2042//1! 42.04/44 102.!4/ /524!.00/0 1.221/04! /2.2215! 10.1!! /5/41.55!//1 1.21!// 5!1.24/ 10400./04 /211.1451/2 1.25/0 .1!4 1041.21/ /5/.51

/ 1.2/4005 21.0!!/5 1051.52 //0!0.5!/4 1.21545 02.0101 105/.!/!/ //4!0.0///5 1.0!4 2!4/.005 1025.1!41 //!5.0202/ 1.24502 21.140!5 10/.25 /!20!.245// 1.4052 24/4.41 10/1!.0/0/ /!5.4!/! 1.15!2 22!/.02! 10/5.2 /!!41.125/ 1./!!1011 20!.!!5 10//.! /121.5!!!0 1.24 110.125 10!2.!!5 ///.504


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!1 1.41/1 1/20.//12 10!4.5/1/ /10.12!2 1.411 150.0411 10!2.4!! /!1!.054! 1.44!22! 140.52/! 101!.00// !0001.!45!4 1.40/5/ 114.!11 10./40! !010.44!5 1.4!52! 5!./11/ 105!.141/ !025./4! 1.500!1 //.21211 10/.204 !040.1

!/ 1.51!445 5/5.551 10!4.24 !042.020!! 1.55!!/4 !.!444 10.21 !055.!24! 1.5540 11./4/1 10!.24 !050.20/10 1.5/0/ ./5"301 11000 !002.4!2


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ls Fm = /50ls Fa = 4250

ASM" "678I9A Fer-a 11000t 1./

axial 8orsor Fyr Flector M-)- 8y- )y )x :)x3)y;


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104.1/ 2045.52! /4!.00// 520!.//!/ 124!/2 1.45"01010.52!1 204.511 /!4.0! 4/2.005 0!54! 1.41"010101.//!2 2142.5/// /240/.!10! 515.25 424125!!/ 1.44"0101005./1! 210.0/15 /140.4/5 2.!4 55!025 1.4/"010

1.512 22.! /0!.2 1/45.0!44 54/5//1 1.4"010/.!2! 22!.121 4/.!/15 0!1.4 /51! 1.4/0"010

1./1! 22!.14 !2!5.222 5!.1! !!/1211 1.4/0"0104.45//2 2/. /201.// 5!4!.245 /2241 1.4/0"0100.10 241/.4515/ 0/.!54 5/!0.5/42 410!52 1.4!"010

15.0/4 240.//2/ 4/.!012 54.525 422154!42 1.45"010!!.5 250.44! !2.52 551.1! 421!514 1.42"010!!2.5!11 2545.154 2.! 54/0./14 44415505 1.45!"010!5./2 25!.1!/25 14!4.20! 5.5!!5 4545052 1.452"010!4.01/5/ 22.42/ 02!.1!5 52!/.! 45540 1.44"010!1.!42/! 25.!/25 50./14 51!10.2//5 4/0/20 1.4"010!14.41424 2/04.511! 5/!2.25 50/24./! 4!!5/0 1.42"010

/./!! 2/42.22 55/1.1!1! 42.!4/ 4502!5 1.42"010//!.!1442 2//.2!0/ 552!.!/52 4!50/./!5 5041!12 1.414"010/0.2! 2!15.422 5400./241 4//.50 51120!5/0 1.40"010/42.2/5!! 2!50.! 52/04.121 421.!51 5255/!100 1.2"010/2.1404 2!!5.001 51!2.4/ 450/2. 54!/252 1.!0"010/04.!2! 21!.224 50045.154 4!.25!/ 54!244! 1./"010!5.///!/1 251.25/4 4!2.01! 42/12.!0! 5525215 1.54"010.51!2 2!2.21 4/25.215 4151.4/! 5102114 1.40"0104/.05!!24 01.!1!!2 454.4154 4001.241 5204/5 1.25"0102/.400!5 04./2/4 4454/.1 0/.!5 5//102//15 1.0"0100/.55144 0/2./002 41!.2541 /!40.5/! 5!44!! 1.2"0105!/.51/11/ 100./545/ 41/15./4! 52./1 51!11 1.2/"0105/.0!/ 12/.!55 402!0.554 5.!0 5!4!5204 1.25!"01054.1//5 154.00! !!.052/ 404.0!1 055!4/4/ 1.240"010

52.50! 1/.11/ //./411 2/!.!4 11!1 1.221"010505.5204 20.4104/ 50.0451 14.!2 1/!0!14 1.201"0104!4./!500 22.5/ 4421.412/ 014.221/ 24/24/1 1.1!1"0104.//02!! 24!.142 22.252 2!!!5.4 2!/551 1.10"010442.140 2/0.1!502 142/.14/1 2/5/./2 244/ 1.1"010421.244 20.45! 215.425 2241.01/ !10!2! 1.11/"010.044 0./204 2!4.52 240/.5/1 4215244 1.05"010

/!.! 2/.22 2!5.104 255.!!54 4001! 1.0/"0105./0/1 45.24 252/.441 2221/.055 44!2444 1.050"0104.4224 1.4/!1 2/!2.01! 20!1.45// 524!00 1.02"0101.0/54 /.!51 2222.4 14.5055 550!!25 1.002"01021.1112 0.!455 20/0.05 1!11.1 5/1/411 /!42002.021!! 404.0105 1104.44 1/5!.1! 51/5 540!102024.22!! 41.11/4 1/52.! 15/./!! 055!4 24404/224./211/1 42/.1!!1 1555.!0/ 1.4/4 15/!1!/ 045/1!14


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202.44402 4/.2122 14/4.2/2 120.00 2154/12 !/50551!01!0.10 44.1052 12/!!.1/52 1121/./5 2404! !542502!415/./12! 454.11! 111!.1!// !22./1/1 22145 !2!!/4/1515.2/212 40.40 04./!22 !425.25/1 12/2042 !01/!0112./!/!5 4.!1554 !00!.44 /024.2 01!452 /////0//0.2/0!/ 4/1.5!0 40./01 522.545 525101 /52124115

/./2!!!45 4/5.2!!1 4!0!.!51 421!.40!0 5/4!/0 /24/114/45.14054 4//.!25 20.!0415 2!12.!1 55244254 /00!204!422.5!54/2 4/.52!1! 10.42 140./0/ 5252/2 /5211/2/0

/.2/4"3014 4!0.05!21 5.24"3012 4.55"3012 4/02 4/02


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(t (ts %s1.! 1.4 0.

:)-3)x;


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411/!5/ 251050!1.4055 1041.4011/2 21/!44.5425042 104/.05/01 2/542!0!.5102! 104!!.2/!//152 2!//!4!1.54152!4 104/4.414101041 0025/./2/ 105041.0/5!2550!2 12/520.54/542 1050!.!1

4/40! 2544.1/50! 105102./5442!14 //4.2!!1! 1050/./42544145 50442.40240 1050!.!1440!424 2415.4/42/1 10501.005152/0 /00!.4!!1/ 104./422550/02 !!!.0/1 104!!.2!11/5/ 40101!/.000/4 104/14.42/0/221/ 41!!10.401204 1045./225!!00!0/ 42414/.211254 1045.1!42410451 4!!4.40/02! 104200.114

2!40!21/ 45122022.2/514 10!1.222/!0541!2 44!.40054 10/.!4221/0/!2/5 4/55/4.02522 104/4.!1202!4 4!/5!!.42215! 101!.221!04 442///.!5/0 102!/.011!5/5!2 51110140.1/122 102542.5/1/2/112 52254!.1115 1021!.551!451 5!451.4//52 101!0!.2215/2454212 544!2.21141! 10140/.!214/!0! 555!52.502242 100!5.5551!2/51 54244./44/ 100541.12// 5/!!0/.4/0222 1000/.42120!/044 5!/00!!.!/1!5 50.0!112400255 5!441./1122 0!2.5251040554 0454./1054 !555.155

02/14 15/102.0024!11 !00/.451!!2502 24///.// /4.!241!0//!002 22.010!44 !52.511/5/!!02 4140.454405 24.415!// 42/4.5/251!2 521.2/00240 5/255/.022 4//.!54

5/11/! 455.0041 41.444//!/4!22 /144051.24005! /.12421/! ///210.255!55 241./14!11101 !41204.200442 222.214!1!2!45 !!///4.1022!! 1500.242/1!11 52/2!.5505 0/5.4512200010 /001244.4441 !/.24451!11!5 /04//1!.10/! !22.55


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1522//4 /0!!55.!51 !!45.0121!2!41 /125//4./0202 !/4.5

41/220./ /15!502.425 !!21.05!/2/4.5 /1!/0!!0.40! !55.5454///!225.5 /2112!5.100! !515!.40002. /21124./!/0/ !410./11

1/22!1/.4 /245/!.1/50/ !452.5//0!!.! /25/2/.01052/ !25!5.!/115/.24 /242!.222/20 !1/10.5!

2.5!"302 /24!0.4!55!2 !0!2/.542


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a

% r>d ?>d (# (#s ka0.! 0. 1. 1.4 1. 0.4/4255!

+ector My axial 8orsor FyrF- Fy )y )- 8y- )y

2500 0 0 24.11/4/ 0 20!!./024.124 4.1011 1./0204 24.0/2!52 1.!04/! 20!!0.124!.4//0/ !/.24!/41! .15022 2.!4/ 2/.02/0 20!/0.4124.5/!4 10.!!1 5!./20 2./145 41./ 20!54./50/24.101 1/4.11!4 12//.!5114 2.40111 55.1/1521 20!2.4!240.4!/5 21/.!!5/ 15.5! 22.!441 !.422 20!0.0124!.04/4 21.2115! 114.!0 22.5044 !2./!4! 20/!.4

24!1.5! 04./5 222.45/ 21.25 .!1! 20/2/./0224/5./01/ 4/.2/52 254.4//1 21.25514 110.0/5112 20!0.15124.220!5 1.0!1 2!5.!2 20.45/1 12./2/51 202.21/242.01! 44.120444 1!1.01! 2!.4 1/.4222 205.1052454.0/ 4//.0224!! 45.!15 2!!./1!// 150.150 204.!4

2445. 51.//22/ !0!.!14 2!/.04/1 14.441/ 2042/.01!245.251 52.// 4120.!212/ 2!.5/41 1//.1!!1 204!.1122425./2 04.!04/ 441./05! 2!5.!10 11.4142/ 202.0452414.!145/ 4/.04/1 4/41.240 2!4.05!1 204./05/ 201/1./!/1240.15424 !.0 504.0/ 2!2./2402! 21!.00/// 200/4.!420./1! /0.222 555.!!05 2!1.2105 21.240/ 1/0.!/2//.412 //2.5424! 50.!0! 2/./22505 244.40!4! 1!1.25/2./44 !1.20! 54.000 2/!.0 25/.412 1/45.1424.2155 !55.0505! 25.!02 2/.!01! 2/0.511 12.42.510/ !5.1!/4 54.!5151 2/4.5!24/! 2!.44121 14.0121/.54 .514!4 !2.21 2/2./0114 2.2!4/1 12./241201.221 /.!2/!21 /15/./04/ 2/0.//22 0.0//1 122.24422!.!4 101.!411 /450.05 2!.!!4 21./0 10//.0!4225./4/ 105.5455 //41.!/ 2.51114 4.25!21 1!2./14224.!512 105.2/!/ !00.40// 24.511 4./1/525 1!/.!42222/.511 114./25 !1.5/ 22.00/42 5.0/122 1!0/.215

220/.!! 11/./!1 !00.104 25.04! /1.155! 1!4!.21!21!.542/ 1212.02405 !!!1.104! 25/.2410 !.44/5 1!25.00/5215.051 1250 15./0 254./154 5.411 1!0!5.5252142.1!25 12!/.551 44.!51// 252.10!0 40/.5511 1/00.54242120.12024 124./!1 /0/.455 24.42511 41.124/4 1//10.102/20./42 11.5/5 //.10424 24./!14 40.//1/ 1/514.2!20/2.5 1/.!22 1024./12 24.!45! 442.2/!14 1/1.0!204/.!!011 14.410 1050/.2012 240.2/0/2 45.5440 1/10.55!


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2022.5424 14.41 10//.4!!! 2/.41/5 44.!24/ 1!5.001!1.5!!/! 1504.5/5 11024.4/ 24.!2// 4/5.!!5 1/!.20141/0.02!! 15.15 112/!.14 21.//! 4!.4040 145.20142.!4 15/.00! 1152!.05 22!.5/242 4/./4544 122.42/2

115.11111 10.02 11//5.01 225.0/1! 50!.50! 15/.51!!.//5 140.14/5/ 1201!.1/!! 221./40 51!.!1/ 15/0.!/

1!5/.!20 1/2.!252 1225/./ 21!.5/200/ 52.202 1551.!!1!2!.!425 1/04.5 124.54 215.1040 5.40//2 152/.1041/!.45 1/.45 12/25.2/04 211.5/05 54.420!11 15022.2/

1//./5 1//./5 125.0 20/./25! 55.25 14/.//1/.45 1/!.45 11//.402 204.112!5 5!.4104 1450.!0!21/04.5 1!2!.!425 1/.4!2! 200.5!//5 5/!.44/ 14242.4245

1/2.!252 1!5/.!20 11.4!14 1.!012 5!/./! 1/./025140.14/5/ 1!!.//5 1!25.2 12.5!5! 5.15 1/00./210.02 115.11111 1402.// 1!.0551/ 05.!!14 142.5/115/.00! 142.!4 142. 1!5.042 14.20!/ 1142.1

15.15 1/0.02!! 1445. 1!1.0/05 2.25524 12!5/.0!!1504.5/5 1.5!!/! 140.0012 1//.00441 1.5!51 125/.2214.41 2022.5424 14!20.1// 1/2.!/!015 .!5 122/4./14.410 204/.!!011 15005.!!4 1!.!52 4/.!!5 11/!.201/.!22 20/2.5 151!.2! 14.4!501 55./0421 11//.!2/11.5/5 20./42 15. 10.1!/51 .22/2 11/.!!!124./!1 2120.12024 1555.1//! 155.!5!0/ /0./401! 110.500412!/.551 2142.1!25 15/02.202 151.4!1/!/ //.52/51 10/55./1

1250 215.051 15!4.4 14/.05!!24 !4.5!!22 10441.!51212.02405 21!.542/ 1021.4 142.5105 1./524 10124.4511/./!1 220/.!! 11/4.42! 1!.0/!/1 !.425 !04.14!5114./25 222/.511 122.1224 1.521! /04./14! 4!0.!51!!105.2/!/ 224.!512 144./! 12!.2 /10.!/2/ 154./14105.5455 225./4/ 102.422 124.24! /1.!105! !!25.!101.!411 22!.!4 1/5.00/4 11.2!424 /22.5444 !44.020//.!2/!21 201.221 1!2.44! 114.202 /2!.04/!5 !15./!2!.514!4 21/.54 1!4.!45/ 110.1/!41 /.040 /!2.04!4!5.1!/4 2.510/ 1/102.022 105.402! /!.!5! /4!.0/2!55.0505! 24.2155 1/21.0 100.541 /4.22! /142.542!1.20! 2./44 1/20./14! 5./555 /4/.!1/4 /!.044//2.5424! 2//.412 1/422.12 0.!!/51 /52.211!2/ 45.14

/0.222 20./1! 1/51!.041 !5.1// /5.2/// 105./0!!.0 240.15424 1/0.10 !1.0!105 /0.2!2 5/5.2/0/

4/.04/1 2414.!145/ 1/4.55 /.1224! /./22 5405.0140504.!04/ 2425./2 1///4.011 /1.154!/ //.42!54! 5052.144152.// 245.251 1/!4.2/ .120/4! //0.510 4/./2551.//22/ 2445. 1/1!.4/ 1.1504/ //.!//1 441.!4//.0224!! 2454.0/ 1/!2.1/2 5.12022! //.0!5 !4./4/44.120444 242.01! 1!040.44 51.0/24 //!.044 2.52


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1.0!1 24.220!5 1!0.212 4.0101! /!1.1!4/55 2.!/!24/.2/52 24/5./01/ 1!140.44 40.25 /!.22511 20.404504./5 24!1.5! 1!1!2.201 5.!4245 /!5.020 2545.042/21.2115! 24!.04/4 1!21!.42 0./45/ /!.5!5 21!2.0421/.!!5/ 240.4!/5 1!24.0/! 25.4042 /!/.122 1!20.105!1/4.11!4 24.101 1!2/4.122 20.510 /!!.5/4 145./50

10.!!1 24.5/!4 1!2.41 15.22! /!.!!! 102.511/!/.24!/41! 24!.4//0/ 1!0/.5! 10.2455/ /0.440512 /2!.!11254.1011 24.124 1!15.51 5.100/2 /0.!01! 4.450/2

1.50!"301 2500 1!1!./42 1.!01/"3014 /0.2221 1.2/!/"3012

A FI@A


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. d 1./30.5 de 1./

k kc kd0.!4452 1 1.004

Flector M-)x :)x3)y;


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14!20.1// 142501 /52105/ 21241455 12/50.0!50225140.0012 1/0!5402 /544!024 20/2114 152./151445. 1/!00/ /5!45 201/422!5 14225./10/

142. 1!2!255! /5/!5// 121/544 14!41.!151151402.// 1!!//!/0 /5!!52/ 105155 1550/.2/155/!1!25.2 14/0455 /5252 1!5051 11541./!02

11.4!14 200051 /54/0 1/425 1!050!.4!1/.4!2! 204!21 /50/!0 1///5111 1/45/4.1///!2511//.402 2122!!01 /5!22/5 1!112!1/ 1!111/.215/125.0 21!05/5!5 /51200 12441/ 1!//4.50102!12/25.2/04 22/1! /551441 15//441 1421.4404!124.54 2241!05 /52121 15111212 200/5!4.5!24221225/./ 24510! /50225 14545 20/2!40.21!421201!.1/!! 240442! /4/0!2/! 1!5!5 21/!5.42210511//5.01 2450!!5 /45105 14255/ 2202555.444!4/!1152!.05 251220 /405 12!0 22!5.!0!5!/

112/!.14 2545!10! /502!4 121444 20!2.1!111024.4/ 215/!2 /0102/! 11/!0!! 255.040210//.4!!! 25152 /24!0!05 112245// 2455!.20!0/1050/.2012 2/14!4/2 /1022 10!!42! 251!54./!42024/1024./12 2/2525 /12054! 101511/ 25/!!.424!//.10424 2!00!/ /04245 /1!45.5 2!.5/5001/0/.455 2!5414/2! !1/ 12022. 254.2412!05

44.!51// 2!/!25 200!1 !1!05!.2 2/5//1.545!2215./0 2401155 !42!/ !1221!0!.5 2!15011.525154!!!1.104! 2!002/5 /1/!41 /115 2!/110.2452!2!00.104 020124! //425 /102.1 220/.1

!1.5/ 05//54/ 5!20541 154. 2//55.!10525!00.40// 0/42 4/2/ 2440.1 020/0.45!042//41.!/ 12!044!1 402!1 5!02!/2./ 0!2//./4541!/450.05 102052 04!2522 5/4/21 12414.00//!1//15/./04/ 1142!2 20/424 400/!./ 1!021.0054!2.21 220451 0//15/ 455145! 2240.0/405/

54.!5151 24/0120 52/0 41/244!. 2/115.1!/550125.!02 2/2!4!5 5!!5014 !0045!. 1420.12///1

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ns# 0.0000/20/20.0000/20.0000/1/0/0.0000/12//40.0000/0/2!0.0000/050.000001

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