EXEL DE PCA PRESENTACION R3A FINAL.xls

seño de Pavimentos de Hormigón Método de la Portland Cement Association PCA

U.A.G.R. M.

Datos Generales

U.A.G.R.M. Proyecto: Tipo de carretera:

Eem!lo A&to!ista interde!artamental

Bermas de hormigón: Barras pasajuntas:

W18 =

".##E$#%

'i (o

"# años Periodo de diseño:  camiones !ue circulan so"re s o"re el "orde del pa#imento: ).# *.# $actor de seguridad de cargas: cargas se +allaran +allaran las re!eticio re!eticiones nes en el !eriod !eriod Tr%&co de diseño 'solo camiones pesados( en una sola d es!ectro de cargas

)"ser#aciones adicionales:

e epeor p e e eor o P*+,-**+ D. /0*/*) D. .2P.2)3.2

Modulo k combinado: Modulo de rotura S'C: Varianza de reitencia:

/arga por eje 'Toneladas(

135.5 MP M Pa/m

,##.# !ci

4.8 Mp Mpa

%##.# !ci

15! "M#todo conidera 15!$

/orrección carga por *2$

3epeticiones en el periodo de diseño

.spesor losa de 4ormigón:

"".# cm

Total $atiga =

#.#-

Total .rosión =

),.%-

+n%lisis por 5atiga 3epeticiones admisi"les

+n%lisis por erosión +cum +cumu u ac +cumulación de 3epeticiones ón 5atiga admisi"les erosión

.6.2 2.,/-**)2 %&uerzo eui(alente:

1.1

elaci*n de e&uerzo: 15.4 15.4 30 14.5 14.5 ,8 13.13.,1,. 1,. ,4 11.8 11.8 ,, 10.2 10.2 ,0 10.0 10.0 18 2.1 2.1 18., 8., 14 .3 .3 1, -.4 -.4 5.4 5.4 4.5 4.5 3.3.,. ,. 1.8

MPa

153.5 pi

actor de eroi*n

,. , .-8451

791 14824 34-3 1140 15,0,8 ,5,31 55-5-, 102,22,3, 1385,- 4335824    

limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada

43058, --1255 10840812481-4 405510 11534-88 88388350 limitada limitada limitada limitada limitada limitada limitada limitada



limitada

limitada



1.8

3.5! 5.,! -.-! .8! -.,! 4.8! 0.8!

0.40 0.38 0.35 0.33 0.31 0.,2 0., 0.,4 0.,, 0.,0 0.1 0.15 0.13 0.10 0.08 0.05

.6.2 T+,D.; %&uerzo eui(alente:

0.2 MPa

elaci*n de e&uerzo: ,., ,., 5, ,5.4 ,5.4 48 ,3.,3.44 ,1.8 ,1.8 40 ,0.0 ,0.0 318., 18., 3, 1-.3 1-.3 ,8 14.5 14.5 ,4 1,. 1,. ,0 10.2 10.2 12.1 2.1 .3 .3 5.4 5.4 3.3.1.8

1.8

1,8.3 pi

actor de eroi*n

,. , .385-8

718<

3-3 314,1310 -3-,51 151134 158-252 ,8,5508 1-804-1 ,023538 ,313-41     

limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada limitada

8,843 14405,840,01 04-4-4 31380,84 limitada limitada limitada limitada limitada limitada limitada limitada limitada

limitada

Total $atiga =

4.4! 5.1! .5! 2.0! 4.8!

limitada

77

>?

,)T+ -;P)3T+,T.: %n eta (eri*n del m#todo de la ociaci*n del Cemento Portland de lo %%.66. no e conideraron lo e&ecto del clima obre lo materiale de la di&erente capa del pa(imento por lo tanto no e inclu7en (ariacione de umedad 7 temperatura en la ubraante ubbae 7 loa de ormi9*n. %l modelo de elemento nito empleado para el dearrollo de ete m#todo conideraba olamente loa plana totalmente apo7ada 7 in alabeo in embar9o una 9ran cantidad de etudio (ericaron ue la tenione 9enerada por alabeo combinado con car9a de tr;co on muco ma7ore debido a la &alta de oporte ue e produce por la cur(atura de la loa.

0.30 0.,8 0.,0.,4 0.,, 0.,0 0.18 0.10.14 0.13 0.11 0.02 0.0 0.04 0.0,

,umero e e # ano e ano arga @ip /ategor a 1 /ategor a 9 e

. 3,.0 30.0 ,8.0 ,-.0 ,4.0 ,,.0 ,0.0 18.0 1-.0 14.0 1,.0 10.0 8 .0 - .0 4 .0

0.24.,3 15.81 38.0, 5-.11 1,4.00 ,04.2483.10 3,.,8 1-23.31

0.0 1.-0 ,.-0 -.-3 1-.-1 ,3.88 4.11-.14,.0 ,33.-0

%
/atego gorA rAa a 1 /ate /atego gorA rAa a9 /arga @ip /ate -0.0 5-.0 5,.0 48.0 44.0 40.0 3-.0 3,.0

4.12 -2.52

1.1.38.2 54.-

,8.0 ,4.0 ,0.0 1-.0 1,.0 8 .0 4 .0

-8.48 32.18 5.10 5.0, 132.30 85.52 31.20

44.43 30.4 45.00 52.,5 21.15 4.01

es por ca a 1777 cam ones esa o t po esa o t po o recarga o /ategor a < /ategor a  /ategor a > mp e

0.45 0.85 1.8 5.,1 .85 1-.33 ,5.15 31.8, 4.3 18,.0,

0.58 1.35 ,. 5.2, 2.83 ,1.- ,8.,5 38.83 53.24 1-8.85

. 0.54 0.-3 1.8 3.5, 4.12.-2 41.8, -8., 5.0

tandem

/ategorAa < /ategorAa  /ategorAa > 1.12 ,.21 8.01 ,1.31 5-.,5 103.-3

1.23.24 11.48 34., 81.4, 85.54

0.5 1.0 1.2 3.03 3.5, ,0.31 8.12 102.54

1,1.,, ,.54 85.24 22.34

15,.,3 20.5, 11,.81 1,4.-2

25.2 1.1-

200.00

180.00

160.00

140.00

Liviano

Mediano

120.00 Pesado tipo 1


80.00

Sobrecargad

60.00

40.00

20.00

0.00

200.00

180.00

160.00

140.00

Liviano

Mediano


. Pesado tipo 2

80.00

60.00

40.00

20.00

0.00

Sobrecargado

o

%camiones s Factor 0 0.3 0.6 1 2 3 4 5 6 7 8

0.74 0.78 0.805 0.825 0.855 0.87 0.88 0.888 0.895 0.9 0.905

6

0.895

0.!5

0.!

" #$

0.85

0.8

0.5

0. 0

& ' 0.000016$(6 ) 0.000442$(5 ' 0.00484!$(4 ) 0.02066$(3 ' 0.08266$(2 ) 0.146103$ ) 0.41082

1

2

3

4

5

6



8

!

ANALISIS DE FATIGA Y EROS Dat! "#$ %"#$ *& 4 Mpsi +& 0,15 L&180 in - &144 in arga & 18 /ip #ee sencio, antas d+aes carga de cada anta & 4500 b arga & 36 /ip #tandem, antas d+aes

&' #4,5 m #3,65 m

DATOS A INTROD(CIR D D )'%*+ ,'%.)/'%3*+ S%&$# )T* Ta"#%)T* S' ),/'%2*+

22 13.852 8.2 16.3 50.4

#%a

Si

8. 500.00 18 36 00

Pa!a"#!

in pci /ips /ips psi

pc "5 "6 "

o

# + & Me&

25.80

in

og#&

1.4116

230.2583! #ee sencio, sin berma atada 2248.2358!5 #ee tandem, sin berma atada 2213.66541 #ee sencio, con berma atada 1850.3!8082 #ee tandem, con berma atada

"1&

1.0141 correcion ees sencios

"1&

1.0141 correcion ees tandem

"2& "2& "3& "4&

0.!68 sin berma 1 con berma 0.8!4812 #6% de tra"ico en bordes 0.!526064 correcc. Por variacion de resistencia

D#t#%a' "# #!# #:a$#t# SA

TA

M#

2213.68

1850.40

C # )&!* C # ),/'%2*

153.542!

128.35

10.80483514 !.0316!2685

P )&!*

Repe

ION - METODO PCA SANSND 8.5!5

SA;SND 4.504

SANS;D 6.543

SA;S;D 3.42

TANSND !.53

TA;SND 4.662

TANS;D .255

TA;S;D 3.508

 6 NDNS  6 ND;S  6 ;D

0.!50 0.!!1 1

 7 NS  7 ;S

0.8!6 1

t#%a' # E<# S%&$# E<# T="#% 4.504 4.662 1 1

Fa't "# E! EF 1 0.!866024! Fa't #:a$#t# S%&$# Fa't #:a$#t#T="#%

0.!!122055 1

R#&#t'#! a"%!$#! C2 0.!4

0.008!2!455 0.00!24235! 6.6224633 .0!43681

N# !%&$# N# t="#%

I$%ta"a! I$%ta"a!

iciones admisibles para inicio de fisuracion SA

C #S' N a"%

2.68451326 2.3856815

TA 0.21!

I$%ta"a

0.183

I$%ta"a

W18 +naliado

2umatoria Tot Sumatoria

jes 2encillo argas en T 30 ,8 ,,4 ,, ,0 18 114 1,

13.-1---- 1,.088882 11.8011111 10.8233334 2.28555558 2.08 8.100000, .,-,,,,,4 -.35444445.44-----8

*$2 2.,543-43-.8-4,-45188 4.2-20-,82 3.50085,1243 ,.3202-401- 1.54883,3, 0.223130,13 0.5251-3133 0.334084545 0.1,55285, Sumatoria

jes Tandem 5, 48 44 40

,3.-0,,,,3 1,.181,5--0 ,1.8---- 8.--31-28842 12.21111, 5.2-0-1-04, 18.155555- 3.248318382

33, ,8 ,4 ,0 1-

1-.34 14.5,44445 1,.088882 10.8233334 2.08 .,-,,,,,4

,.500-5815 1.5015555 0.844,,1-1-1 0.43-4--28,3 0.,0182184, 0.022,-,-51 Sumatoria

0 0 0 0 0

0 0 0 0 0

0.13001--452 0.13001--452 3.138-5%00-

0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

,.00%=0 ,.00%=0

arga .! .!ui#alent orcentaj juste 138-.83343 ,38004.55,8-55 353428.123,152 53,,,-.54-455 -03,81.,10204 8-512.845,0,5 0-45-.4-20-523515.-413885 4-,8.24,--,8 48,01.154--3 5,5,3-8.28430-2

-.82%03 1.12%0, 1.%0, ,.--%0, 3.0,%0, 4.38%0, 3.53%0, ,.2%0, ,.31%0, 3.4%0,

>> > >> > >> > >> > >> > >> > >> > >> > >> > >> >

443114.0128-28 -33-4.204038-2 1,0,51.-8,-83 ,51181,.5,52,04

,.,,%0, 3.1%0, -.35%0, 1.,-%01

>> > >> > >> > >> >

324,2.0,-25,38,232.52535,1 ,385354.844333 334-5.5-053211 4,,--8.1-4,,448 1842,0.-4-0013 144-31.015-23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

1.82%01 1.12%01 1.12%01 3.-%0, ,.11%0, 2.,5%03

>> > >> > >> > >> > >> > >> >

.jes 2 1.42%=04 3.4%=04 .11%=04 1.5,%=05 ,.5,%=05 5.5%=05 .11%=05 2.2%=05 1.32%=04.34%=0-

14824 34-3 1140 15,0,8 ,5,31 55-5-, 102,22,3, 1%=004%=00-

30 ,8 ,,4 ,, ,0 18 114 1,

.jes 3.-4%=04 3-3 .31%=04 314,.13%=05 ,1310 -.3-%=05 -3-,51

5, 48 44 40

1.51%=01.52%=0,.83%=01.-8%=0,.02%=0,.31%=0-

,%=00,%=003%=00,%=00,%=00,%=00-

33, ,8 ,4 ,0 1-

encillos 1.42%=04 3.4%=04 .11%=04 1.5,%=05 ,.5,%=05 5.5%=05 .11%=05 2.2%=05 1.32%=04.34%=0-

andem 3-3-.02-815 3145.845888,1310.4425883 -3-,51.1445,3

151133.,24158-252.4842 ,8,550.8284-4 1-804-0.585,-4 ,02353.555,03 ,313-40.5,5554

D+T)2

*EFTon

*EF@ips

*18

*9E

*9s

13.616666 12.08888!2 11.80111114 10.8!333336 !.!8555558 !.08 8.1000002 .26222224 6.35444446 5.44666668

2!.!566664 2.!5!555624 25.!62444508 23.!653333!2 21.!6822226 1!.!111116 1.!4000044 15.!6888!28 13.!!812 11.!826666!6

23.60222228 21.866662 1!.!111116 18.1555556 16.34000004 14.52444448 12.08888!2 10.8!333336 !.08 .26222224 0 8181.8181 L*7 0 0 8.1 8.1 0 0 0 0 0 0 0 0 0 0 0 0

51.!2488!016 4.!3066684 43.!36444552 3!.!4222232 35.!48000088 31.!53856 2.!5!555624 23.!653333!2 1!.!111116 15.!6888!28 0 1!!!.!!!82 L*7 0 0 1.!4 1.!4 0 0 0 0 0 0 0 0 0 0 0 0

18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18

1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18

3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18

3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

1

pt

D

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024

G

BE

GFBE

B18

'0.160!1 1.08431566 '0.161!3315! 1.006!066 '0.160!1 1.061810!264 '0.165840504 1.006!066 '0.160!1 1.0426280612 '0.1688!132 1.006!066 '0.160!1 1.02856!4402 '0.11200166 1.006!066 '0.160!1 1.018518601 '0.1288!54 1.006!066 '0.160!1 1.01153!2852 '0.1408242 1.006!066 '0.160!1 1.00685624 '0.148!1!16 1.006!066 '0.160!1 1.0038460025 '0.15416606 1.006!066 '0.160!1 1.0020062051 '0.15386!1 1.006!066 '0.160!1 1.000!533222 '0.15!2354 1.006!066 '0.160!1 1.0000000015 '0.160!125! 1.006!066 '0.160!1 1.1365!22231 '0.154!2!143 1.006!066 '0.160!1 1.0!154441! '0.161323028 1.006!066 '0.160!1 1.05!338!!52 '0.1662248 1.006!066 '0.160!1 1.036!50!5 '0.16!812428 1.006!066 '0.160!1 1.021!3442 '0.1230501 1.006!066 '0.160!1 1.012323661 '0.13!458 1.006!066 '0.160!1 1.006428442 '0.14!664! 1.006!066 '0.160!1 1.00305410! '0.15554!8! 1.006!066 '0.160!1 1.0012815!!5 '0.1586586! 1.006!066 '0.160!1 1.000451488 '0.16011!35 1.006!066 '0.160!1 1.000000005 '0.160!1258 1.006!066 '0.160!1 43458421821! '4.051!5*'013 1.006!066 '0.160!1 L*7 L*7 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00024155! '0.1604833 1.006!066 '0.160!1 1.00024155! '0.1604833 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066 '0.160!1 1.00000000!8 '0.160!125 1.006!066

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024

'0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1

1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8

'0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125

1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066 1.006!066

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024 11.811024

'0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1 '0.160!1

1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.00000000!8 1.0000000015 1.0000000015 1.0000000015 1.0000000015 1.0000000015 1.0000000015

'0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125 '0.160!125! '0.160!125! '0.160!125! '0.160!125! '0.160!125! '0.160!125!

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/+*/*)2

GFB18

WEFW18

'0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883 '0.14883

0.1080208314 0.1456820315 0.20124518!4 0.285644358 0.4182413424 0.634!65124 1.00632654! 1.6802116 2.!!33088664 5.!50!036! 806554.6152 0.0820!3335 0.11543118! 0.1668!3! 0.2533035!5 0.3!!8!41! 0.665!61448 1.1845230!31 2.2!112404!5 4.!53140132 12.51153106 318605.345 !.224*'013 L*7 185050.!426 185050.!426 23.1!8856851 23.1!8856851 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426

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9.25747364 6.864264519 4.96906288 3.500852194 2.390964017 1.574883723 0.99371302 0.59516313 0.33407845 0.17255985 0.00000124 12.18125676 8.66316988 5.96061604 3.94783184 2.50065817 1.50157558 0.84422162 0.43646698 0.20189185 0.07992627 0.00000314 1028041333459.40000000 >?AL(E@ 0.00000540 0.00000540 0.04310557 0.04310557 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540

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0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540

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185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 185050.!426 806554.6152 806554.6152 806554.6152 806554.6152 806554.6152 806554.6152

0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000540 0.00000124 0.00000124 0.00000124 0.00000124 0.00000124 0.00000124

?,@ 1 , 3

APB SMP?% AD%M AD%M

EXEL DE PCA PRESENTACION R3A FINAL.xls

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