listado diseño cubierta

8/18/2019 Listado diseño cubierta

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EJEMPLO DE DISEÑO

Barra N34/N43

Perfil: C 100x50x15x2Material: Acero ( ASTM A 36 36 ksi

NudosLongitud

(m)

Características mecánicas

Inicial Final Área(cm²)Ix(1)

(cm4)Iy(1)

(cm4)It(2)

(cm4)xg()

(mm)yg()

(mm)

N4 N4 1!"#$ 4! %#!1$ 14!#% "!"% &$!$' "!""Notas:

(1) Inercia respecto al eje indicado(2) Momento de inercia a torsión uniforme(3) Coordenadas del centro de gravedad

andeo andeo lateral

lano * lano + ,la su-! ,la in.!

β 1!"" 1!"" "!"" "!""

L/ 1!"#$ 1!"#$ "!""" "!"""

Cm 1!""" 1!""" & &

C0 & 1!"""Notación:

β : Coeficiente de pandeoL : Longitud de pandeo (m)C m: Coeficiente de momentosC !: "actor de modificación para el momento cr#tico

arra

C3,CIN56 (,I6I 61""&"$ (2""$)) 5stado

7 8 t 9 9r 3x 3y :x :y 3x9r 3y9r 3x:y 3y:x 39 3 99r3:

N48N4x; " m

7 8 t ≤ (7 8 t)3áx!Cum-le

x; 1!"#$ mη < "!1

x; " mη = %!' N!!

(1) x; " mη = '!$

x; 1!"#$ mη = "!#

η = "!1x; " mη = 1!2 N!!

(2) N!!()x; " m

η = "!x; 1!"#$ m

η < "!1 N!!(4) x; " m

η = 12!>x; " m

η = 12!$C!MP"# $ 12%&

Notación:$ % t: Limitaciones geom&tricas': esistencia a tracción: esistencia a compresión'r: esistencia a torsiónM * : esistencia a fle*ión alrededor del eje + M , : esistencia a fle*ión alrededor del eje - . * : esistencia a corte en la dirección del eje + . , : esistencia a corte en la dirección del eje - M * 'r: esistencia a fle*ión alrededor del eje + com!inada con torsiónM , 'r: esistencia a fle*ión alrededor del eje - com!inada con torsiónM * . , : esistencia a fle*ión alrededor del eje + com!inada con corte en la dirección del eje - M , . * : esistencia a fle*ión alrededor del eje - com!inada con corte en la dirección del eje + M': esistencia a fle*ión com!inada con tracciónM: esistencia a fle*ión com!inada con compresión''rM.: "le*ión com!inada con cortante/ a*il , torsión 0 Compro!ación de .on Mises

*: istancia al origen de la !arraη : Coeficiente de aprovecamiento ()N44: No procede

Compro!aciones 5ue no proceden (N44):(1) La compro!ación no procede/ ,a 5ue no a, torsión4(2) No a, interacción entre torsión , fle*ión alrededor del eje + para ninguna com!inación4 or lo tanto/ la compro!ación no procede4(3) No a, interacción entre torsión , fle*ión alrededor del eje - para ninguna com!inación4 or lo tanto/ la compro!ación no procede4(6) No a, interacción entre a*il de tracción , momento flector para ninguna com!inación4 or lo tanto/ la compro!ación no procede4

"i'itacioes )eo'*tricas (1)

6e de0e satis.acer;

≤17 t %"

+1 / t ;21.0

0

?onde;


2/58


3/58

t; Factor de resistencia -ara tracciGn! t ; 7487

T; La resistencia nominal a tracciGn es igual al alor calculado segn la6ecciGn C2!1 del ,-Dndice ;

T ; 114769 t

C2!1 lasti.icaciGn de la secciGn 0ruta!

=n g y9 , F

T ; 114769 t

?onde;

A); Área de la secciGn 0ruta! A) ; 6433 cm²

.; Límite elástico del acero! . ; 26;462 M-8cm²

,esistecia a co'resi- (C4)

6e de0e satis.acer;

= ≤. Cc

(N 1

(

C ; 0.065

5l es.uerAo solicitante de cálculo -Dsimo se -roduce en el nudo N4 -ara lacom0inaciGn de acciones 1!2H1!2HC311!2HC321!%H6C"!>H:2!

?onde;

Pf ; esistencia a com-resiGn reJuerida -ara las com0inaciones de carga LF?! Pf ; 746


4/58

2c

n yF ("!%'> )Fλ=

. ; 2123488 M-8cm²

?onde; .; Límite elástico del acero! . ; 26;462 M-8cm²

yc

e

F

Fλ =

λc ; 7499

?onde;

.; Límite elástico del acero! . ; 26;462 M-8cm²

.e; 9ension elástica de -andeo a .lexiGn calculada segnlas 6ecciones C4!1!1 a C4!1!4!

.e ; ;472 M-8cm²

C4!1!1 6ecciones no sometidas a -andeo -or torsiGn o -or .lexotorsiGn! .crit; 9ensiGn crítica de -andeo tomada como la menor de Fex y Fey! .crit ; ;472 M-8cm²

?onde;

( )

( )

2

xex 2

x

r 5F

/ L= π

.ex ; 2


5/58

"; Longitud de la 0arra! " ; 1478


6/58

?onde;

=2

ex ey exyex

ey exy

I I &I6

I y&I x

Sex ; 134;3 cmP

?onde;

ex; 3omento e.icaA de inercia res-ecto al eBe *! ex ; 9841


7/58

Mc; esistencia de diseKo a .lexiGn!

=c n3O 3 !

1%9 AT;S # ;B,A

1%1%9 Nor'as cosieraas

,cero con.ormado; ,I6I 61""&2""$ (LF?)

Cate)or


8/58

1%2%1%9 Sit=acioes e roecto

ara las distintas situaciones de -royecto las com0inaciones de acciones se de.inirán de acuerdo con lossiguientes criterios;

≥ ≥

γ + γ + γ ∑ ∑Gj kj P k Qi k i j 1 i 1

G P Q

& ?onde;

RM ,cciGn -ermanenteM ,cciGn de -retensadoSM ,cciGn aria0leγ R Coe.iciente -arcial de seguridad de las acciones -ermanentesγ Coe.iciente -arcial de seguridad de la acciGn de -retensado

γ S1 Coe.iciente -arcial de seguridad de la acciGn aria0le -rinci-alγ Si Coe.iciente -arcial de seguridad de las acciones aria0les de acom-aKamiento

ara cada situaciGn de -royecto y estado límite los coe.icientes a utiliAar serán;

#%"%!% e rot=ra% Acero cofor'ao: AS S1009200> (",.

2%3%2 9 ?1@ (ASC#/S# >905

Coe.icientes -arciales de seguridad (γ )

Faora0le ?es.aora0le

Carga -ermanente (R) 1!4"" 1!4""6o0recarga (S)

:iento (S)Niee (S)

2%3%2 9 ?2 "r@ (ASC#/S# >905



Carga -ermanente (R) 1!2"" 1!2""

6o0recarga (S) "!""" "!'"":iento (S)Niee (S)


9/58

2%3%2 9 ?2 S@ (ASC#/S# >905




:iento (S)

Niee (S) "!""" "!'""

2%3%2 9 ?3 "r "@ (ASC#/S# >905



Carga -ermanente (R) 1!2"" 1!2""6o0recarga (S) "!""" 1!%""

:iento (S)

Niee (S)

2%3%2 9 ?3 S "@ (ASC#/S# >905




:iento (S)Niee (S) 1!%"" 1!%""

2%3%2 9 ?3 "r @ (ASC#/S# >905



Carga -ermanente (R) 1!2"" 1!2""6o0recarga (S) "!""" 1!%""

:iento (S) "!""" "!>""Niee (S)

2%3%2 9 ?3 S @ (ASC#/S# >905




:iento (S) "!""" "!>""


10/58

2%3%2 9 ?3 S @ (ASC#/S# >905


Faora0le ?es.aora0leNiee (S) 1!%"" 1!%""

2%3%2 9 ?4 "r@ (ASC#/S# >905



Carga -ermanente (R) 1!2"" 1!2""6o0recarga (S) "!""" "!'""

:iento (S) 1!%"" 1!%""Niee (S)

2%3%2 9 ?4 S@ (ASC#/S# >905




:iento (S) 1!%"" 1!%""Niee (S) "!""" "!'""

2%3%2 9 ?6@ (ASC#/S# >905



Carga -ermanente (R) "!#"" "!#""6o0recarga (S)

:iento (S) "!""" 1!%""Niee (S)

eslaa'ietos

Accioes Dariales si sis'o



Carga -ermanente (R) 1!""" 1!"""

6o0recarga (S) "!""" 1!""":iento (S) "!""" 1!"""


11/58

Accioes Dariales si sis'o



Niee (S) "!""" 1!"""

2%9 #ST,!CT!,A

2%1%9 Eeo'etr4 1!'"" & & & & & & 5m-otradoN% "!2$% 4!422 1!'"" & & & & & & 5m-otradoN$ 1!2'$ '!4' 1!12' & & & & & & 5m-otrado

N> 1!2'$ %!4>4 1!12' & & & & & & 5m-otradoN# 1!2'$ >!'4$ 1!12' & & & & & & 5m-otrado

N1" 1!2'$ 1"!1"" 1!12' & & & & & & 5m-otradoN11 1!2'$ 11!%' 1!12' & & & & & & 5m-otradoN12 1!2'$ 1!2"% 1!12' & & & & & & 5m-otradoN1 2!2# %!4>4 "!$'" & & & & & & 5m-otrado

N14 2!2# >!'4$ "!$'" & & & & & & 5m-otradoN1' 2!2# 1"!1"" "!$'" & & & & & & 5m-otrado

N1% 2!2# 11!%' "!$'" & & & & & & 5m-otradoN1$ 2!2# 1!2"% "!$'" & & & & & & 5m-otradoN1> 2!2# 14!$%" "!$'" & & & & & & 5m-otradoN1# !22" $!'1% "!$' & & & & & & 5m-otrado

N2" !22" >!'4$ "!$' & & & & & & 5m-otradoN21 !22" 1"!1"" "!$' & & & & & & 5m-otrado

N22 !22" 11!%' "!$' & & & & & & 5m-otradoN2 !22" 1!2"% "!$' & & & & & & 5m-otradoN24 !22" 14!$%" "!$' & & & & & & 5m-otrado


12/58

N=os

e.erenciaCoordenadas :inculaciGn exterior :inculaciGn interior

*(m)

+(m)

(m)

∆x ∆y ∆A θx θy θA

N2' 4!2"1 >!'4$ "!""" * * * * * * 5m-otradoN2% 4!2"1 1"!1"" "!""" * * * * * * 5m-otradoN2$ 4!2"1 11!%' "!""" * * * * * * 5m-otradoN2> 4!2"1 1!2"% "!""" * * * * * * 5m-otrado

N2# 4!2"1 14!$%" "!""" * * * * * * 5m-otradoN" %!"$% >!'4$ "!""" * * * * * * 5m-otrado

N1 $!#'1 >!'4$ "!""" * * * * * * 5m-otradoN2 $!#'1 1"!1#$ "!""" * * * * * * 5m-otradoN $!#'1 11!>4$ "!""" * * * * * * 5m-otradoN4 $!#'1 1!4#$ "!""" * * * * * * 5m-otrado

N' $!#'1 14!'4$ "!""" * * * * * * 5m-otrado

N% 12!"$% %!4>4 1!'"" & & & & & & 5m-otradoN$ 12!"$% >!'4$ 1!'"" & & & & & & 5m-otradoN> $!#'1 1$!'4$ "!""" * * * * * * 5m-otradoN# $!#'1 1%!"4$ "!""" * * * * * * 5m-otradoN4" >!#>2 1%!$#$ "!$' & & & & & & 5m-otrado

N41 >!#>2 1%!"4$ "!$' & & & & & & 5m-otradoN42 >!#>2 14!'4$ "!$' & & & & & & 5m-otrado

N4 >!#>2 1!4#$ "!$' & & & & & & 5m-otradoN44 >!#>2 11!>4$ "!$' & & & & & & 5m-otradoN4' >!#>2 1"!1#$ "!$' & & & & & & 5m-otradoN4% >!#>2 >!'4$ "!$' & & & & & & 5m-otrado

N4$ 1"!"14 1%!"4$ "!$'" & & & & & & 5m-otradoN4> 1"!"14 14!'4$ "!$'" & & & & & & 5m-otrado

N4# 1"!"14 1!4#$ "!$'" & & & & & & 5m-otradoN'" 1"!"14 11!>4$ "!$'" & & & & & & 5m-otradoN'1 1"!"14 1"!1#$ "!$'" & & & & & & 5m-otradoN'2 1"!"14 >!'4$ "!$'" & & & & & & 5m-otrado

N' 11!"4' 1'!2#$ 1!12' & & & & & & 5m-otradoN'4 11!"4' 14!'4$ 1!12' & & & & & & 5m-otrado

N'' 11!"4' 1!4#$ 1!12' & & & & & & 5m-otradoN'% 11!"4' 11!>4$ 1!12' & & & & & & 5m-otradoN'$ 11!"4' 1"!1#$ 1!12' & & & & & & 5m-otrado

N'> 11!"4' >!'4$ 1!12' & & & & & & 5m-otradoN'# 12!"$% 14!'4$ 1!'"" & & & & & & 5m-otradoN%" 12!"$% 1!4#$ 1!'"" & & & & & & 5m-otrado

N%1 12!"$% 11!>4$ 1!'"" & & & & & & 5m-otradoN%2 12!"$% 1"!1#$ 1!'"" & & & & & & 5m-otradoN% 1"!"14 1%!$#$ "!$' & & & & & & 5m-otradoN%4 12!"$% 1%!$#$ "!$' & & & & & & 5m-otrado

N%' 14!1# 1%!$#$ "!$' & & & & & & 5m-otradoN%% 1'!1$" 1%!$#$ "!$' & & & & & & 5m-otrado

N%$ 1'!1$" 1%!"4$ "!$' & & & & & & 5m-otrado


13/58

N=os


*(m)

+(m)

(m)


N%> 1'!1$" 14!'4$ "!$' & & & & & & 5m-otrado

N%# 1'!1$" 1!4#$ "!$' & & & & & & 5m-otradoN$" 12!"$% 1%!"4$ "!$'" & & & & & & 5m-otrado

N$1 14!1# 1%!"4$ "!$'" & & & & & & 5m-otradoN$2 14!1# 14!'4$ "!$'" & & & & & & 5m-otrado

N$ 14!1# 1!4#$ "!$'" & & & & & & 5m-otradoN$4 14!1# 11!>4$ "!$'" & & & & & & 5m-otrado

N$' 12!"$% 1'!2#$ 1!12' & & & & & & 5m-otradoN$% 1!1"$ 1'!2#$ 1!12' & & & & & & 5m-otradoN$$ 1!1"$ 14!'4$ 1!12' & & & & & & 5m-otradoN$> 1!1"$ 1!4#$ 1!12' & & & & & & 5m-otrado

N$# 1!1"$ 11!>4$ 1!12' & & & & & & 5m-otradoN>" 1!1"$ 1"!1#$ 1!12' & & & & & & 5m-otrado

N>1 1!1"$ >!'4$ 1!12' & & & & & & 5m-otrado

N>2 1%!2"1 1$!'4$ "!""" * * * * * * 5m-otradoN> 1%!2"1 1%!"4$ "!""" * * * * * * 5m-otradoN>4 1%!2"1 14!'4$ "!""" * * * * * * 5m-otrado

N>' 1%!2"1 1!4#$ "!""" * * * * * * 5m-otradoN>% 14!1# 1"!1#$ "!$'" & & & & & & 5m-otrado

N>$ 14!1# >!'4$ "!$'" & & & & & & 5m-otradoN>> 12!"$% "!2#$ "!""" * * * * * * 5m-otradoN># 1"!"14 "!2#$ "!""" * * * * * * 5m-otradoN#" $!#'1 "!2#$ "!""" * * * * * * 5m-otrado

N#1 %!"$% "!2#$ "!""" * * * * * * 5m-otradoN#2 4!2"1 "!2#$ "!""" * * * * * * 5m-otrado

N# 2!2# "!2#$ "!""" * * * * * * 5m-otradoN#4 "!2$% "!2#$ "!""" * * * * * * 5m-otradoN#' 12!"$% 1!2> "!$' & & & & & & 5m-otradoN#% 1"!"14 1!2> "!$' & & & & & & 5m-otrado

N#$ $!#'1 1!2> "!$' & & & & & & 5m-otradoN#> %!"$% 1!2> "!$' & & & & & & 5m-otrado

N## 4!2"1 1!2> "!$' & & & & & & 5m-otradoN1"" 2!2# 1!2> "!$' & & & & & & 5m-otradoN1"1 "!2$% 1!2> "!$' & & & & & & 5m-otradoN1"2 "!2$% 2!'# "!$'" & & & & & & 5m-otrado

N1" 2!2# 2!'# "!$'" & & & & & & 5m-otradoN1"4 4!2"1 2!'# "!$'" & & & & & & 5m-otrado

N1"' %!"$% 2!'# "!$'" & & & & & & 5m-otradoN1"% $!#'1 2!'# "!$'" & & & & & & 5m-otradoN1"$ 1"!"14 2!'# "!$'" & & & & & & 5m-otradoN1"> 12!"$% 2!'# "!$'" & & & & & & 5m-otrado

N1"# 12!"$% !#1 1!12' & & & & & & 5m-otradoN11" 1"!"14 !#1 1!12' & & & & & & 5m-otrado

N111 $!#'1 !#1 1!12' & & & & & & 5m-otradoN112 %!"$% !#1 1!12' & & & & & & 5m-otradoN11 4!2"1 !#1 1!12' & & & & & & 5m-otrado


14/58

N=os


*(m)

+(m)

(m)


N114 2!2# !#1 1!12' & & & & & & 5m-otradoN11' "!2$% !#1 1!12' & & & & & & 5m-otradoN11% 2!2# 4!422 1!'"" & & & & & & 5m-otradoN11$ 4!2"1 4!422 1!'"" & & & & & & 5m-otrado

N11> %!"$% 4!422 1!'"" & & & & & & 5m-otradoN11# $!#'1 4!422 1!'"" & & & & & & 5m-otrado

N12" 1"!"14 4!422 1!'"" & & & & & & 5m-otradoN121 12!"$% 4!422 1!'"" & & & & & & 5m-otradoN122 2!2# '!4' 1!12' & & & & & & 5m-otradoN12 4!2"1 '!4' 1!12' & & & & & & 5m-otrado

N124 %!"$% '!4' 1!12' & & & & & & 5m-otrado

N12' $!#'1 '!4' 1!12' & & & & & & 5m-otradoN12% 1"!"14 '!4' 1!12' & & & & & & 5m-otradoN12$ $!#'1 %!4>4 "!$'" & & & & & & 5m-otradoN12> %!"$% %!4>4 "!$'" & & & & & & 5m-otradoN12# 4!2"1 %!4>4 "!$'" & & & & & & 5m-otrado

N1" "!2$% 14!$%" 1!'"" & & & & & & 5m-otradoN11 1!2'$ 14!$%" 1!12' & & & & & & 5m-otrado

N12 1!2'$ 1'!4'% 1!12' & & & & & & 5m-otradoN1 $!#'1 $!'1% "!$' & & & & & & 5m-otradoN14 %!"$% $!'1% "!$' & & & & & & 5m-otradoN1' 4!2"1 $!'1% "!$' & & & & & & 5m-otrado

N1% 4!2"1 1%!1' "!""" * * * * * * 5m-otradoN1$ 4!2"1 1$!'4$ "!""" * * * * * * 5m-otrado

N1> 2!2# 1$!'4$ "!""" * * * * * * 5m-otradoN1# "!2$% 1$!'4$ "!""" * * * * * * 5m-otradoN14" !22" 1%!1' "!$' & & & & & & 5m-otradoN141 !22" 1%!>'" "!$' & & & & & & 5m-otrado

N142 2!2# 1%!>'" "!$' & & & & & & 5m-otradoN14 "!2$% 1%!>'" "!$' & & & & & & 5m-otrado

N144 2!2# 1%!1' "!$'" & & & & & & 5m-otradoN14' "!2$% 1%!1' "!$'" & & & & & & 5m-otradoN14% "!2$% 1'!4'% 1!12' & & & & & & 5m-otrado

N14$ 11!"4' %!4>4 1!12' & & & & & & 5m-otradoN14> 11!"4' '!4' 1!12' & & & & & & 5m-otradoN14# 1"!"14 %!4>4 "!$'" & & & & & & 5m-otrado

N1'" >!#>2 $!'1% "!$' & & & & & & 5m-otradoN1'1 1"!"14 1$!'4$ "!""" * * * * * * 5m-otradoN1'2 12!"$% 1$!'4$ "!""" * * * * * * 5m-otradoN1' 14!1# 1$!'4$ "!""" * * * * * * 5m-otrado

N1'4 >!#>2 $!'1% "!""" & & & & & & 5m-otradoN1'' !22" $!'1% "!""" & & & & & & 5m-otrado

N1'% !22" 1%!>'" "!""" & & & & & & 5m-otrado


15/58

N=os


*(m)

+(m)

(m)


N1'$ >!#>2 14!'4$ "!""" & & & & & & 5m-otrado

N1'> 1"!"14 14!'4$ "!""" & & & & & & 5m-otradoN1'# 11!"4' 14!'4$ "!""" & & & & & & 5m-otrado

N1%" 12!"$% 14!'4$ "!""" * * * * * * 5m-otradoN1%1 1'!1$" 14!'4$ "!""" & & & & & & 5m-otrado

N1%2 14!1# 14!'4$ "!""" & & & & & & 5m-otradoN1% 1!1"$ 14!'4$ "!""" & & & & & & 5m-otrado

N1%4 >!#>2 >!'4$ "!""" & & & & & & 5m-otradoN1%' 1"!"14 >!'4$ "!""" & & & & & & 5m-otradoN1%% 11!"4' >!'4$ "!""" & & & & & & 5m-otradoN1%$ 12!"$% >!'4$ "!""" * * * * * * 5m-otrado

N1%> 14!1# >!'4$ "!""" * * * * * * 5m-otradoN1%# 1!1"$ >!'4$ "!""" & & & & & & 5m-otrado

N1$" 1!1"$ 1'!2#$ "!""" & & & & & & 5m-otrado

N1$1 1'!1$" 1%!$#$ "!""" & & & & & & 5m-otradoN1$2 14!1# 1%!"4$ "!""" & & & & & & 5m-otradoN1$ 11!"4' 1'!2#$ "!""" & & & & & & 5m-otrado

N1$4 1"!"14 1%!"4$ "!""" & & & & & & 5m-otradoN1$' >!#>2 1%!$#$ "!""" & & & & & & 5m-otrado

N1$% %!"$% $!'1% "!""" & & & & & & 5m-otradoN1$$ %!"$% %!4>4 "!""" & & & & & & 5m-otradoN1$> %!"$% '!4' "!""" & & & & & & 5m-otradoN1$# %!"$% 4!422 "!""" * * * * * * 5m-otrado

N1>" %!"$% 1!2> "!""" & & & & & & 5m-otradoN1>1 %!"$% 2!'# "!""" & & & & & & 5m-otrado

N1>2 %!"$% !#1 "!""" & & & & & & 5m-otradoN1> 4!2"1 $!'1% "!""" & & & & & & 5m-otradoN1>4 4!2"1 %!4>4 "!""" & & & & & & 5m-otradoN1>' 4!2"1 '!4' "!""" & & & & & & 5m-otrado

N1>% 4!2"1 4!422 "!""" * * * * * * 5m-otradoN1>$ 4!2"1 1!2> "!""" & & & & & & 5m-otrado

N1>> 4!2"1 2!'# "!""" & & & & & & 5m-otradoN1># 4!2"1 !#1 "!""" & & & & & & 5m-otradoN1#" $!#'1 $!'1% "!""" & & & & & & 5m-otradoN1#1 $!#'1 %!4>4 "!""" & & & & & & 5m-otrado

N1#2 $!#'1 '!4' "!""" & & & & & & 5m-otradoN1# $!#'1 4!422 "!""" * * * * * * 5m-otrado

N1#4 $!#'1 1!2> "!""" & & & & & & 5m-otradoN1#' $!#'1 2!'# "!""" & & & & & & 5m-otradoN1#% $!#'1 !#1 "!""" & & & & & & 5m-otradoN1#$ 2!2# %!4>4 "!""" & & & & & & 5m-otrado

N1#> 1!2'$ '!4' "!""" & & & & & & 5m-otradoN1## "!2$% 4!422 "!""" * * * * * * 5m-otrado

N2"" 2!2# '!4' "!""" & & & & & & 5m-otradoN2"1 2!2# 4!422 "!""" * * * * * * 5m-otradoN2"2 2!2# 1!2> "!""" & & & & & & 5m-otrado


16/58


17/58

N=os


*(m)

+(m)

(m)


N24% "!2$% 1%!1' "!""" & & & & & & 5m-otrado

N24$ "!2$% 1'!4'% "!""" & & & & & & 5m-otradoN24> >!#>2 1!4#$ "!""" & & & & & & 5m-otrado

N24# 1"!"14 1!4#$ "!""" & & & & & & 5m-otradoN2'" 11!"4' 1!4#$ "!""" & & & & & & 5m-otrado

N2'1 12!"$% 1!4#$ "!""" * * * * * * 5m-otradoN2'2 1'!1$" 1!4#$ "!""" & & & & & & 5m-otrado

N2' 14!1# 1!4#$ "!""" & & & & & & 5m-otradoN2'4 1!1"$ 1!4#$ "!""" & & & & & & 5m-otradoN2'' >!#>2 11!>4$ "!""" & & & & & & 5m-otradoN2'% 1"!"14 11!>4$ "!""" & & & & & & 5m-otrado

N2'$ 11!"4' 11!>4$ "!""" & & & & & & 5m-otradoN2'> 12!"$% 11!>4$ "!""" * * * * * * 5m-otrado

N2'# 14!1# 11!>4$ "!""" * * * * * * 5m-otrado

N2%" 1!1"$ 11!>4$ "!""" & & & & & & 5m-otradoN2%1 >!#>2 1"!1#$ "!""" & & & & & & 5m-otradoN2%2 1"!"14 1"!1#$ "!""" & & & & & & 5m-otrado

N2% 11!"4' 1"!1#$ "!""" & & & & & & 5m-otradoN2%4 12!"$% 1"!1#$ "!""" * * * * * * 5m-otrado

N2%' 14!1# 1"!1#$ "!""" * * * * * * 5m-otradoN2%% 1!1"$ 1"!1#$ "!""" & & & & & & 5m-otradoN2%$ >!#>2 1%!"4$ "!""" & & & & & & 5m-otradoN2%> 1'!1$" 1%!"4$ "!""" & & & & & & 5m-otrado

N2%# 12!"$% 1%!$#$ "!""" & & & & & & 5m-otradoN2$" 12!"$% 1%!"4$ "!""" & & & & & & 5m-otrado

N2$1 12!"$% 1'!2#$ "!""" & & & & & & 5m-otradoN2$2 14!1# 1%!$#$ "!""" & & & & & & 5m-otradoN2$ 1"!"14 1%!$#$ "!""" & & & & & & 5m-otradoN2$4 2!2# 1%!>'" "!""" & & & & & & 5m-otrado

N2$' !22" 1%!1' "!""" & & & & & & 5m-otrado

2%1%2%9 Barras

2.1.2.1.- Materiales utilizads

Materiales =tiliaos

3aterial 5(M-8cm²)

νR

(M-8cm²). y

(M-8cm²)αHt

(m8mUC)γ

(t8mP)9i-o ?esignaciGn

,cero con.ormado ,693 , % % Msi 2"%#1$!" "!"" $#'>#1!2 2'4>!4 "!""""12 $!>'"Notación:

=: Módulo de elasticidad ν : Módulo de poisson>: Módulo de elasticidad transversal f , : L#mite el?sticoα @t : Coeficiente de dilataciónγ : eso espec#fico


18/58

2.1.2.2.- Des!ri"!i#$escrici-

3aterial arra(Ni8N.)

ieAa(Ni8N.)

er.il(6erie) Longitud(m)

βxy βxAL06u-!(m)

L0In.!(m)9i-o ?esignaciGn

,cerocon.ormado

,693 , % %Msi

N28N1 N28N1 C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N8N2 N8N2 C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N48N N48N C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N'8N4 N'8N4 C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N%8N' N%8N' C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N$8N> N$8N> C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & &

N>8N# N>8N# C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N#8N1" N#8N1" C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N1"8N11 N1"8N11 C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N118N12 N118N12 C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N18N14 N18N14 C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N148N1' N148N1' C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N1'8N1% N1'8N1% C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N1%8N1$ N1%8N1$ C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N1$8N1> N1$8N1> C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N1#8N2" N1#8N2" C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & &

N2"8N21 N2"8N21 C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N218N22 N218N22 C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N228N2 N228N2 C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N28N24 N28N24 C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N2'8N2% N2'8N2% C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N2%8N2$ N2%8N2$ C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N2$8N2> N2$8N2> C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N2>8N2# N2>8N2# C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N2'8N" N2'8N" C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N"8N1 N"8N1 C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & & N18N2 N18N2 C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N28N N28N C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N8N4 N8N4 C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N48N' N48N' C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N%8N$ N%8N$ C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N#8N> N#8N> C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N'8N# N'8N# C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N418N4" N418N4" C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &


19/58

escrici-


ieAa(Ni8N.) er.il(6erie)

Longitud(m)

βxy βxAL06u-!(m)


N428N41 N428N41 C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N48N42 N48N42 C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N448N4 N448N4 C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N4'8N44 N4'8N44 C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N4%8N4' N4%8N4' C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N4>8N4$ N4>8N4$ C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N4#8N4> N4#8N4> C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N'"8N4# N'"8N4# C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N'18N'" N'18N'" C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N'28N'1 N'28N'1 C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N'48N' N'48N' C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N''8N'4 N''8N'4 C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N'%8N'' N'%8N'' C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N'$8N'% N'$8N'% C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & & N'>8N'$ N'>8N'$ C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N%"8N'# N%"8N'# C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N%18N%" N%18N%" C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N%28N%1 N%28N%1 C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N$8N%2 N$8N%2 C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N4"8N% N4"8N% C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & &

N%8N%4 N%8N%4 C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N%48N%' N%48N%' C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N%'8N%% N%'8N%% C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & &

N%$8N%% N%$8N%% C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & & N%>8N%$ N%>8N%$ C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N%#8N%> N%#8N%> C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N4$8N$" N4$8N$" C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N$"8N$1 N$"8N$1 C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N$28N$1 N$28N$1 C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N$8N$2 N$8N$2 C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N$48N$ N$48N$ C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N'8N$' N'8N$' C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & &

N$'8N$% N$'8N$% C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & &

N$$8N$% N$$8N$% C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & & N$>8N$$ N$>8N$$ C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N$#8N$> N$#8N$> C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N>"8N$# N>"8N$# C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N>18N>" N>18N>" C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N>8N>2 N>8N>2 C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N>48N> N>48N> C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N>'8N>4 N>'8N>4 C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &


20/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N>%8N$4 N>%8N$4 C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N>$8N>% N>$8N>% C >"x4"x1'x2 (C) 1!%'" 1!"" 1!"" & &

N>#8N>> N>#8N>> C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N#"8N># N#"8N># C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N#18N#" N#18N#" C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N#28N#1 N#28N#1 C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N#8N#2 N#8N#2 C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N#48N# N#48N# C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N#%8N#' N#%8N#' C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N#$8N#% N#$8N#% C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N#>8N#$ N#>8N#$ C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & & N##8N#> N##8N#> C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N1""8N## N1""8N## C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N1"18N1"" N1"18N1"" C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N1"28N1" N1"28N1" C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N1"8N1"4 N1"8N1"4 C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N1"48N1"' N1"48N1"' C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N1"'8N1"% N1"'8N1"% C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N1"%8N1"$ N1"%8N1"$ C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N1"$8N1"> N1"$8N1"> C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N11"8N1"# N11"8N1"# C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & & N1118N11" N1118N11" C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N1128N111 N1128N111 C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N118N112 N118N112 C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N1148N11 N1148N11 C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N11'8N114 N11'8N114 C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N%8N11% N%8N11% C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N11%8N11$ N11%8N11$ C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N11$8N11> N11$8N11> C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N11>8N11# N11>8N11# C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N11#8N12" N11#8N12" C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & & N12"8N121 N12"8N121 C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N$8N122 N$8N122 C >"x4"x1'x2 (C) "!#>1 1!"" 1!"" & &

N1228N12 N1228N12 C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N128N124 N128N124 C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N1248N12' N1248N12' C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N12'8N12% N12'8N12% C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N12>8N12$ N12>8N12$ C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &


21/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N12#8N12> N12#8N12> C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N18N12# N18N12# C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N18N1" N18N1" C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N128N11 N128N11 C >"x4"x1'x2 (C) 1!'' 1!"" 1!"" & &

N118N12 N118N12 C >"x4"x1'x2 (C) "!%#$ 1!"" 1!"" & &

N148N1 N148N1 C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N1'8N14 N1'8N14 C >"x4"x1'x2 (C) 1!>$' 1!"" 1!"" & &

N1#8N1' N1#8N1' C >"x4"x1'x2 (C) "!#>1 1!"" 1!"" & &

N2#8N1% N2#8N1% C >"x4"x1'x2 (C) 1!#4 1!"" 1!"" & &

N1%8N1$ N1%8N1$ C >"x4"x1'x2 (C) 1!#4 1!"" 1!"" & &

N1>8N1$ N1>8N1$ C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N1#8N1> N1#8N1> C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N248N14" N248N14" C >"x4"x1'x2 (C) 1!#4 1!"" 1!"" & &

N14"8N141 N14"8N141 C >"x4"x1'x2 (C) "!%#$ 1!"" 1!"" & & N1428N141 N1428N141 C >"x4"x1'x2 (C) "!#>1 1!"" 1!"" & &

N148N142 N148N142 C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N1>8N144 N1>8N144 C >"x4"x1'x2 (C) 1!#4 1!"" 1!"" & &

N14'8N144 N14'8N144 C >"x4"x1'x2 (C) 1!#% 1!"" 1!"" & &

N14%8N12 N14%8N12 C >"x4"x1'x2 (C) "!#>1 1!"" 1!"" & &

N14$8N'> N14$8N'> C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N14>8N14$ N14>8N14$ C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & &

N12$8N14# N12$8N14# C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N14#8N'2 N14#8N'2 C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N1'"8N4% N1'"8N4% C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & & N18N1'" N18N1'" C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & &

N1218N% N1218N% C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N12%8N14> N12%8N14> C >"x4"x1'x2 (C) 1!"1 1!"" 1!"" & &

N>8N1'1 N>8N1'1 C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N1'18N1'2 N1'18N1'2 C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N1'28N1' N1'28N1' C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N1'8N>2 N1'8N>2 C >"x4"x1'x2 (C) 2!"% 1!"" 1!"" & &

N'8N42 N'8N42C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N428N4> N428N4>C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N4>8N'4 N4>8N'4C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N'48N'# N'48N'#C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N>48N%> N>48N%>C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N%>8N$2 N%>8N$2C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &


22/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N$28N$$ N$28N$$

C 1""x'"x1'x2

(C) 1!"#$ 1!"" 1!"" & &

N$$8N'# N$$8N'#C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N18N4% N18N4%C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N4%8N'2 N4%8N'2C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N'28N'> N'28N'>C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N'>8N$ N'>8N$C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N>$8N>1 N>$8N>1C 1""x'"x1'x2

(C)1!"#$ 1!"" 1!"" & &

N>18N$ N>18N$C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N$%8N'# N$%8N'#C 1""x'"x1'x2(C) 1!2# 1!"" 1!"" & &

N$18N$% N$18N$%C 1""x'"x1'x2(C) 1!2# 1!"" 1!"" & &

N%%8N$1 N%%8N$1C 1""x'"x1'x2(C) 1!2# 1!"" 1!"" & &

N>28N%% N>28N%%C 1""x'"x1'x2(C) 1!2# 1!"" 1!"" & &

N'8N'# N'8N'#C 1""x'"x1'x2(C) 1!2# 1!"" 1!"" & &

N4$8N' N4$8N'C 1""x'"x1'x2(C) 1!2# 1!"" 1!"" & &

N4"8N4$ N4"8N4$C 1""x'"x1'x2(C) 1!2# 1!"" 1!"" & &

N>8N4" N>8N4"C 1""x'"x1'x2(C) 1!2# 1!"" 1!"" & &

N"8N14 N"8N14C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N148N12> N148N12>C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N12>8N124 N12>8N124C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1248N11> N1248N11> C 1""x'"x1'x2(C)1!"#$ 1!"" 1!"" & &

N#18N#> N#18N#>C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N#>8N1"' N#>8N1"'C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1"'8N112 N1"'8N112C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1128N11> N1128N11>C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &


23/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N2'8N1' N2'8N1'C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1'8N12# N1'8N12#C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N12#8N12 N12#8N12C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N128N11$ N128N11$C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N#28N## N#28N##C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N##8N1"4 N##8N1"4C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1"48N11 N1"48N11C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N118N11$ N118N11$C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N18N1 N18N1 C 1""x'"x1'x2

(C)1!"#$ 1!"" 1!"" & &

N18N12$ N18N12$C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N12$8N12' N12$8N12'C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N12'8N11# N12'8N11#C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N#"8N#$ N#"8N#$C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N#$8N1"% N#$8N1"%C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1"%8N111 N1"%8N111C 1""x'"x1'x2

(C)

1!"#$ 1!"" 1!"" & &

N1118N11# N1118N11#C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N$8N% N$8N%C 1""x'"x1'x2(C)

1!4$2 1!"" 1!"" & &

N18N$ N18N$C 1""x'"x1'x2(C)

1!4$2 1!"" 1!"" & &

N1#8N1 N1#8N1C 1""x'"x1'x2(C)

1!4$2 1!"" 1!"" & &

N2'8N1# N2'8N1#C 1""x'"x1'x2(C)

1!4$2 1!"" 1!"" & &

N18N122 N18N122C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1228N11% N1228N11% C 1""x'"x1'x2(C)1!"#$ 1!"" 1!"" & &

N#8N1"" N#8N1""C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1""8N1" N1""8N1"C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1"8N114 N1"8N114C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N1148N11% N1148N11%C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &


24/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N128N1" N128N1"

C 1""x'"x1'x2

(C) 1!2%1 1!"" 1!"" & &

N1448N12 N1448N12C 1""x'"x1'x2(C) 1!2%1 1!"" 1!"" & &

N1418N144 N1418N144C 1""x'"x1'x2(C) 1!2%1 1!"" 1!"" & &

N1$8N141 N1$8N141C 1""x'"x1'x2(C) 1!2%1 1!"" 1!"" & &

N118N1" N118N1"C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N1>8N11 N1>8N11C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N248N1> N248N1>C 1""x'"x1'x2

(C)1!"'" 1!"" 1!"" & &

N2#8N24 N2#8N24C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N#8N4 N#8N4C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N148N# N148N#C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N2"8N14 N2"8N14C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N2'8N2" N2'8N2"C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N>8N' N>8N'C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N18N> N18N>C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N14>8N121 N14>8N121C 1""x'"x1'x2(C) 1!'"% 1!"" 1!"" & &

N14#8N14> N14#8N14>C 1""x'"x1'x2(C) 1!'"% 1!"" 1!"" & &

N1'"8N14# N1'"8N14#C 1""x'"x1'x2(C) 1!'"% 1!"" 1!"" & &

N18N1'" N18N1'"C 1""x'"x1'x2(C)

1!'"% 1!"" 1!"" & &

N14#8N12% N14#8N12%C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N12%8N12" N12%8N12" C 1""x'"x1'x2(C)1!"#$ 1!"" 1!"" & &

N>#8N#% N>#8N#%C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N#%8N1"$ N#%8N1"$C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1"$8N11" N1"$8N11"C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N11"8N12" N11"8N12"C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &


25/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N14#8N14$ N14#8N14$C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N14$8N% N14$8N%C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N128N1 N128N1C 1""x'"x1'x2(C) 1!"'" 1!"" 1!"" & &

N1$8N12 N1$8N12C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N28N1$ N28N1$C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N2>8N2 N2>8N2C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N118N2 N118N2C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N1%8N11 N1%8N11C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N228N1% N228N1% C 1""x'"x1'x2

(C)1!"'" 1!"" 1!"" & &

N2$8N22 N2$8N22C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N1"8N N1"8NC 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N1'8N1" N1'8N1"C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N218N1' N218N1'C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N2%8N21 N2%8N21C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N#48N1"1 N#48N1"1C 1""x'"x1'x2

(C)

1!"#$ 1!"" 1!"" & &

N1"18N1"2 N1"18N1"2C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1"28N11' N1"28N11'C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N11'8N% N11'8N%C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N>>8N#' N>>8N#'C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N#'8N1"> N#'8N1">C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1">8N1"# N1">8N1"#C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N1"#8N121 N1"#8N121 C 1""x'"x1'x2(C)1!"#$ 1!"" 1!"" & &

N1#8N14 N1#8N14C 1""x'"x1'x2(C)

"!$#1 1!"" 1!"" & &

N148N14' N148N14'C 1""x'"x1'x2(C)

"!$#1 1!"" 1!"" & &

N14'8N14% N14'8N14%C 1""x'"x1'x2(C) "!$#1 1!"" 1!"" & &

N14%8N1" N14%8N1"C 1""x'"x1'x2(C) "!$#1 1!"" 1!"" & &


26/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N48N4 N48N4

C 1""x'"x1'x2

(C) 1!"#$ 1!"" 1!"" & &

N48N4# N48N4#C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N4#8N'' N4#8N''C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N''8N%" N''8N%"C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N>'8N%# N>'8N%#C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N%#8N$ N%#8N$C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N$8N$> N$8N$>C 1""x'"x1'x2

(C)1!"#$ 1!"" 1!"" & &

N$>8N%" N$>8N%"C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N8N44 N8N44C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N448N'" N448N'"C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N'"8N'% N'"8N'%C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N'%8N%1 N'%8N%1C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N$48N$# N$48N$#C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N$#8N%1 N$#8N%1C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N28N4' N28N4'C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N4'8N'1 N4'8N'1C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N'18N'$ N'18N'$C 1""x'"x1'x2(C) 1!"#$ 1!"" 1!"" & &

N'$8N%2 N'$8N%2C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N>%8N>" N>%8N>"C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N>"8N%2 N>"8N%2 C 1""x'"x1'x2(C)1!"#$ 1!"" 1!"" & &

N#8N41 N#8N41C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N418N4$ N418N4$C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N>8N%$ N>8N%$C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &

N%$8N$1 N%$8N$1C 1""x'"x1'x2(C)

1!"#$ 1!"" 1!"" & &


27/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N$'8N'# N$'8N'#C 1""x'"x1'x2(C)

"!># 1!"" 1!"" & &

N$"8N$' N$"8N$'C 1""x'"x1'x2(C)

"!># 1!"" 1!"" & &

N%48N$" N%48N$"C 1""x'"x1'x2(C) "!># 1!"" 1!"" & &

N1'28N%4 N1'28N%4C 1""x'"x1'x2(C)

"!># 1!"" 1!"" & &

N%'8N$1 N%'8N$1C 1""x'"x1'x2(C)

"!># 1!"" 1!"" & &

N1'8N%' N1'8N%'C 1""x'"x1'x2(C)

"!># 1!"" 1!"" & &

N%8N4$ N%8N4$C 1""x'"x1'x2(C)

"!># 1!"" 1!"" & &

N1'18N% N1'18N%C 1""x'"x1'x2(C)

"!># 1!"" 1!"" & &

N1>8N142 N1>8N142 C 1""x'"x1'x2

(C)"!$#1 1!"" 1!"" & &

N1428N144 N1428N144C 1""x'"x1'x2(C)

"!$#1 1!"" 1!"" & &

N14"8N144 N14"8N144C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N1%8N14" N1%8N14"C 1""x'"x1'x2(C)

1!"'" 1!"" 1!"" & &

N1'48N1 N1'48N1C 1""x'"x1'x2(C)

1!4'> 1!"" 1!"" & &

N1''8N2' N1''8N2'C 1""x'"x1'x2(C)

1!42 1!"" 1!"" & &

N1'%8N1$ N1'%8N1$C 1""x'"x1'x2

(C)

1!2"4 1!"" 1!"" & &

N'8N1'$ N'8N1'$C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1'$8N1'> N1'$8N1'>C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1'>8N1'# N1'>8N1'#C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1'#8N1%" N1'#8N1%"C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1%18N>4 N1%18N>4C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1%28N1%1 N1%28N1%1C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1%8N1%2 N1%8N1%2 C 1""x'"x1'x2(C)1!"1 1!"" 1!"" & &

N1%"8N1% N1%"8N1%C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N18N1%4 N18N1%4C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1%48N1%' N1%48N1%'C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1%'8N1%% N1%'8N1%%C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &


28/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N1%%8N1%$ N1%%8N1%$

C 1""x'"x1'x2

(C) 1!"1 1!"" 1!"" & &

N1%#8N1%> N1%#8N1%>C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1%$8N1%# N1%$8N1%#C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1%"8N1$" N1%"8N1$"C 1""x'"x1'x2(C) 1!2$' 1!"" 1!"" & &

N1$18N>2 N1$18N>2C 1""x'"x1'x2(C) 1!2$' 1!"" 1!"" & &

N1$28N1$1 N1$28N1$1C 1""x'"x1'x2(C) 1!2$' 1!"" 1!"" & &

N1$"8N1$2 N1$"8N1$2C 1""x'"x1'x2

(C)1!2$' 1!"" 1!"" & &

N1%"8N1$ N1%"8N1$C 1""x'"x1'x2(C) 1!2$' 1!"" 1!"" & &

N1$8N1$4 N1$8N1$4C 1""x'"x1'x2(C) 1!2$' 1!"" 1!"" & &

N1$48N1$' N1$48N1$'C 1""x'"x1'x2(C) 1!2$' 1!"" 1!"" & &

N1$'8N> N1$'8N>C 1""x'"x1'x2(C) 1!2$' 1!"" 1!"" & &

N1$%8N" N1$%8N"C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1$$8N1$% N1$$8N1$%C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1$>8N1$$ N1$>8N1$$C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1$#8N1$> N1$#8N1$>C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N#18N1>" N#18N1>"C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1>"8N1>1 N1>"8N1>1C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1>18N1>2 N1>18N1>2C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1>28N1$# N1>28N1$#C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1>8N2' N1>8N2' C 1""x'"x1'x2(C)1!"1 1!"" 1!"" & &

N1>48N1> N1>48N1>C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1>'8N1>4 N1>'8N1>4C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1>%8N1>' N1>%8N1>'C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N#28N1>$ N#28N1>$C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &


29/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N1>$8N1>> N1>$8N1>>C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1>>8N1># N1>>8N1>#C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1>#8N1>% N1>#8N1>%C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1#"8N1 N1#"8N1C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1#18N1#" N1#18N1#"C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1#28N1#1 N1#28N1#1C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1#8N1#2 N1#8N1#2C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N#"8N1#4 N#"8N1#4C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1#48N1#' N1#48N1#' C 1""x'"x1'x2

(C)1!"1 1!"" 1!"" & &

N1#'8N1#% N1#'8N1#%C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1#%8N1# N1#%8N1#C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N1#$8N1'' N1#$8N1''C 1""x'"x1'x2(C)

1!42 1!"" 1!"" & &

N1#>8N1#$ N1#>8N1#$C 1""x'"x1'x2(C)

1!42 1!"" 1!"" & &

N1##8N1#> N1##8N1#>C 1""x'"x1'x2(C)

1!42 1!"" 1!"" & &

N2""8N1#$ N2""8N1#$C 1""x'"x1'x2

(C)

1!"1 1!"" 1!"" & &

N2"18N2"" N2"18N2""C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2"28N2" N2"28N2"C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2"8N2"4 N2"8N2"4C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2"48N2"1 N2"48N2"1C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N#8N2"2 N#8N2"2C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2"'8N2# N2"'8N2#C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N2"%8N2"$ N2"%8N2"$ C 1""x'"x1'x2(C)1!2"4 1!"" 1!"" & &

N2"$8N2"> N2"$8N2">C 1""x'"x1'x2(C)

1!2"4 1!"" 1!"" & &

N2">8N1'% N2">8N1'%C 1""x'"x1'x2(C)

1!2"4 1!"" 1!"" & &

N2"%8N2"# N2"%8N2"#C 1""x'"x1'x2(C) "!#>1 1!"" 1!"" & &

N2"#8N21" N2"#8N21"C 1""x'"x1'x2(C) "!#>1 1!"" 1!"" & &


30/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N21"8N2"' N21"8N2"'

C 1""x'"x1'x2

(C) "!#>1 1!"" 1!"" & &

N2118N2' N2118N2'C 1""x'"x1'x2(C) "!#>1 1!"" 1!"" & &

N2128N21 N2128N21C 1""x'"x1'x2(C) "!#>1 1!"" 1!"" & &

N218N214 N218N214C 1""x'"x1'x2(C) "!#>1 1!"" 1!"" & &

N2148N211 N2148N211C 1""x'"x1'x2(C) "!#>1 1!"" 1!"" & &

N21'8N21% N21'8N21%C 1""x'"x1'x2(C) "!#>1 1!"" 1!"" & &

N21%8N1#$ N21%8N1#$C 1""x'"x1'x2

(C)"!#>1 1!"" 1!"" & &

N21$8N21> N21$8N21>C 1""x'"x1'x2(C) 1!4'> 1!"" 1!"" & &

N21>8N21# N21>8N21#C 1""x'"x1'x2(C) 1!4'> 1!"" 1!"" & &

N21#8N1'4 N21#8N1'4C 1""x'"x1'x2(C) 1!4'> 1!"" 1!"" & &

N22"8N21# N22"8N21#C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2218N22" N2218N22"C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N>#8N222 N>#8N222C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2228N22 N2228N22C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N228N224 N228N224C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2248N221 N2248N221C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N21#8N22' N21#8N22'C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N22'8N22% N22'8N22%C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N22$8N2> N22$8N2>C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N22>8N22# N22>8N22# C 1""x'"x1'x2(C)"!#>1 1!"" 1!"" & &

N22#8N2" N22#8N2"C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N2"8N22$ N2"8N22$C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N218N2$ N218N2$C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N228N2 N228N2C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &


31/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N28N24 N28N24C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N248N21 N248N21C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N2'8N2% N2'8N2%C 1""x'"x1'x2(C) "!#>1 1!"" 1!"" & &

N2%8N2$ N2%8N2$C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N2$8N2> N2$8N2>C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N2>8N2' N2>8N2'C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N#48N2# N#48N2#C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2#8N24" N2#8N24"C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N24"8N241 N24"8N241 C 1""x'"x1'x2

(C)1!"1 1!"" 1!"" & &

N2418N1## N2418N1##C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N>>8N242 N>>8N242C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2428N24 N2428N24C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N248N244 N248N244C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2448N21$ N2448N21$C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N24'8N1# N24'8N1#C 1""x'"x1'x2

(C)

"!%#$ 1!"" 1!"" & &

N24%8N24' N24%8N24'C 1""x'"x1'x2(C)

"!%#$ 1!"" 1!"" & &

N24$8N24% N24$8N24%C 1""x'"x1'x2(C)

"!%#$ 1!"" 1!"" & &

N2"%8N24$ N2"%8N24$C 1""x'"x1'x2(C)

"!%#$ 1!"" 1!"" & &

N48N24> N48N24>C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N24>8N24# N24>8N24#C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N24#8N2'" N24#8N2'"C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2'"8N2'1 N2'"8N2'1 C 1""x'"x1'x2(C)1!"1 1!"" 1!"" & &

N2'28N>' N2'28N>'C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2'8N2'2 N2'8N2'2C 1""x'"x1'x2(C)

1!"1 1!"" 1!"" & &

N2'48N2' N2'48N2'C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2'18N2'4 N2'18N2'4C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &


32/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N8N2'' N8N2''

C 1""x'"x1'x2

(C) 1!"1 1!"" 1!"" & &

N2''8N2'% N2''8N2'%C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2'%8N2'$ N2'%8N2'$C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2'$8N2'> N2'$8N2'>C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2%"8N2'# N2%"8N2'#C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2'>8N2%" N2'>8N2%"C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N28N2%1 N28N2%1C 1""x'"x1'x2

(C)1!"1 1!"" 1!"" & &

N2%18N2%2 N2%18N2%2C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2%28N2% N2%28N2%C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2%8N2%4 N2%8N2%4C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2%%8N2%' N2%%8N2%'C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2%48N2%% N2%48N2%%C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N#8N2%$ N#8N2%$C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2%$8N1$4 N2%$8N1$4C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2%>8N> N2%>8N>C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N1$28N2%> N1$28N2%>C 1""x'"x1'x2(C) 1!"1 1!"" 1!"" & &

N2%#8N1'2 N2%#8N1'2C 1""x'"x1'x2(C) "!$'" 1!"" 1!"" & &

N2$"8N2%# N2$"8N2%#C 1""x'"x1'x2(C)

"!$'" 1!"" 1!"" & &

N2$18N2$" N2$18N2$"C 1""x'"x1'x2(C)

"!$'" 1!"" 1!"" & &

N1%"8N2$1 N1%"8N2$1 C 1""x'"x1'x2(C)"!$'" 1!"" 1!"" & &

N2$28N1' N2$28N1'C 1""x'"x1'x2(C)

"!$'" 1!"" 1!"" & &

N1$28N2$2 N1$28N2$2C 1""x'"x1'x2(C)

"!$'" 1!"" 1!"" & &

N2$8N1'1 N2$8N1'1C 1""x'"x1'x2(C)

"!$'" 1!"" 1!"" & &

N1$48N2$ N1$48N2$C 1""x'"x1'x2(C)

"!$'" 1!"" 1!"" & &


33/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N2$48N1> N2$48N1>C 1""x'"x1'x2(C)

"!%#$ 1!"" 1!"" & &

N2">8N2$4 N2">8N2$4C 1""x'"x1'x2(C)

"!%#$ 1!"" 1!"" & &

N2$'8N1% N2$'8N1%C 1""x'"x1'x2(C) "!#>1 1!"" 1!"" & &

N2">8N2$' N2">8N2$'C 1""x'"x1'x2(C)

"!#>1 1!"" 1!"" & &

N2"%8N1" N2"%8N1" C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N1##8N% N1##8N% C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N1%"8N'# N1%"8N'# C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N1'#8N'4 N1'#8N'4 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1'>8N4> N1'>8N4> C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1'$8N42 N1'$8N42 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1%"8N'4 N1%"8N'4 C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N1'#8N4> N1'#8N4> C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & & N1'>8N42 N1'>8N42 C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N1%8N$$ N1%8N$$ C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1%28N$2 N1%28N$2 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1%18N%> N1%18N%> C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1%"8N$$ N1%"8N$$ C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N1%8N$2 N1%8N$2 C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N1%28N%> N1%28N%> C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N1%$8N$ N1%$8N$ C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N1%%8N'> N1%%8N'> C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1%'8N'2 N1%'8N'2 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1%48N4% N1%48N4% C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1%$8N'> N1%$8N'> C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N1%%8N'2 N1%%8N'2 C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N1%'8N4% N1%'8N4% C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N1%#8N>1 N1%#8N>1 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1%>8N>$ N1%>8N>$ C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1%$8N>1 N1%$8N>1 C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N1%#8N>$ N1%#8N>$ C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N1$"8N$% N1$"8N$% C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1$28N$1 N1$28N$1 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1$18N%% N1$18N%% C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1%"8N$% N1%"8N$% C >"x4"x1'x2 (C) 1!$"" 1!"" 1!"" & &

N1$"8N$1 N1$"8N$1 C >"x4"x1'x2 (C) 1!4$# 1!"" 1!"" & &

N1$28N%% N1$28N%% C >"x4"x1'x2 (C) 1!2# 1!"" 1!"" & &

N1$'8N4" N1$'8N4" C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1$48N4$ N1$48N4$ C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1$8N' N1$8N' C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &


34/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N1%"8N' N1%"8N' C >"x4"x1'x2 (C) 1!$"" 1!"" 1!"" & &

N1$8N4$ N1$8N4$ C >"x4"x1'x2 (C) 1!4$# 1!"" 1!"" & &

N1$48N4" N1$48N4" C >"x4"x1'x2 (C) 1!2# 1!"" 1!"" & &

N1$#8N11> N1$#8N11> C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N1$>8N124 N1$>8N124 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1$$8N12> N1$$8N12> C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1$%8N14 N1$%8N14 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1$#8N124 N1$#8N124 C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N1$>8N12> N1$>8N12> C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N1$$8N14 N1$$8N14 C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N1>28N112 N1>28N112 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & & N1>18N1"' N1>18N1"' C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1>"8N#> N1>"8N#> C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1$#8N112 N1$#8N112 C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N1>28N1"' N1>28N1"' C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N1>18N#> N1>18N#> C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N1>%8N11$ N1>%8N11$ C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N1>'8N12 N1>'8N12 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1>48N12# N1>48N12# C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1>8N1' N1>8N1' C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1>%8N12 N1>%8N12 C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & & N1>'8N12# N1>'8N12# C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N1>48N1' N1>48N1' C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N1>#8N11 N1>#8N11 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1>>8N1"4 N1>>8N1"4 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1>$8N## N1>$8N## C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1>%8N11 N1>%8N11 C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N1>#8N1"4 N1>#8N1"4 C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N1>>8N## N1>>8N## C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N1#8N11# N1#8N11# C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N1#28N12' N1#28N12' C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & & N1#18N12$ N1#18N12$ C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1#"8N1 N1#"8N1 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1#8N12' N1#8N12' C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N1#28N12$ N1#28N12$ C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N1#18N1 N1#18N1 C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N1#%8N111 N1#%8N111 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1#'8N1"% N1#'8N1"% C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &


35/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N1#48N#$ N1#48N#$ C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1#8N111 N1#8N111 C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N1#%8N1"% N1#%8N1"% C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N1#'8N#$ N1#'8N#$ C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N1''8N1# N1''8N1# C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1#$8N1 N1#$8N1 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1#>8N$ N1#>8N$ C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N1##8N$ N1##8N$ C >"x4"x1'x2 (C) 1!>14 1!"" 1!"" & &

N1#>8N1 N1#>8N1 C >"x4"x1'x2 (C) 1!%"# 1!"" 1!"" & &

N1#$8N1# N1#$8N1# C >"x4"x1'x2 (C) 1!4$2 1!"" 1!"" & &

N2"18N11% N2"18N11% C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N2""8N122 N2""8N122 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2"18N122 N2"18N122 C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2""8N1 N2""8N1 C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & & N2"48N114 N2"48N114 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2"8N1" N2"8N1" C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2"28N1"" N2"28N1"" C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N2"18N114 N2"18N114 C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2"48N1" N2"48N1" C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N2"8N1"" N2"8N1"" C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N2"$8N12 N2"$8N12 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2">8N144 N2">8N144 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1'%8N141 N1'%8N141 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N2"%8N12 N2"%8N12 C >"x4"x1'x2 (C) 1!%4$ 1!"" 1!"" & & N2"$8N144 N2"$8N144 C >"x4"x1'x2 (C) 1!41> 1!"" 1!"" & &

N2">8N141 N2">8N141 C >"x4"x1'x2 (C) 1!2%1 1!"" 1!"" & &

N2"#8N11 N2"#8N11 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N21"8N1> N21"8N1> C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2"'8N24 N2"'8N24 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N2128N4 N2128N4 C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N218N# N218N# C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2148N14 N2148N14 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2118N2" N2118N2" C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N21'8N' N21'8N' C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & & N21%8N> N21%8N> C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N21$8N121 N21$8N121 C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N21>8N14> N21>8N14> C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N21#8N14# N21#8N14# C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N1'48N1'" N1'48N1'" C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N21$8N14> N21$8N14> C >"x4"x1'x2 (C) 1!>42 1!"" 1!"" & &

N21>8N14# N21>8N14# C >"x4"x1'x2 (C) 1!%4" 1!"" 1!"" & &


36/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N21#8N1'" N21#8N1'" C >"x4"x1'x2 (C) 1!'"% 1!"" 1!"" & &

N2218N12" N2218N12" C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N22"8N12% N22"8N12% C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2218N12% N2218N12% C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N22"8N14# N22"8N14# C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N2248N11" N2248N11" C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N228N1"$ N228N1"$ C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2228N#% N2228N#% C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N2218N11" N2218N11" C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2248N1"$ N2248N1"$ C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N228N#% N228N#% C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & & N22%8N% N22%8N% C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N22'8N14$ N22'8N14$ C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N22%8N14$ N22%8N14$ C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N22'8N14# N22'8N14# C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N22>8N1 N22>8N1 C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N22#8N12 N22#8N12 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2"8N1$ N2"8N1$ C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N22$8N2 N22$8N2 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N228N2 N228N2 C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N28N11 N28N11 C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & & N248N1% N248N1% C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N218N22 N218N22 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N2%8N N2%8N C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N2$8N1" N2$8N1" C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2>8N1' N2>8N1' C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2'8N21 N2'8N21 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N21'8N> N21'8N> C >"x4"x1'x2 (C) 1!4# 1!"" 1!"" & &

N21%8N1 N21%8N1 C >"x4"x1'x2 (C) 1!2' 1!"" 1!"" & &

N2128N# N2128N# C >"x4"x1'x2 (C) 1!4# 1!"" 1!"" & &

N218N14 N218N14 C >"x4"x1'x2 (C) 1!2' 1!"" 1!"" & & N2148N2" N2148N2" C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N2%8N1" N2%8N1" C >"x4"x1'x2 (C) 1!4# 1!"" 1!"" & &

N2$8N1' N2$8N1' C >"x4"x1'x2 (C) 1!2' 1!"" 1!"" & &

N2>8N21 N2>8N21 C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N228N11 N228N11 C >"x4"x1'x2 (C) 1!4# 1!"" 1!"" & &

N28N1% N28N1% C >"x4"x1'x2 (C) 1!2' 1!"" 1!"" & &

N248N22 N248N22 C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &


37/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N22>8N12 N22>8N12 C >"x4"x1'x2 (C) 1!4# 1!"" 1!"" & &

N22#8N1$ N22#8N1$ C >"x4"x1'x2 (C) 1!2' 1!"" 1!"" & &

N2"8N2 N2"8N2 C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N2"%8N11 N2"%8N11 C >"x4"x1'x2 (C) 1!4# 1!"" 1!"" & &

N2"#8N1> N2"#8N1> C >"x4"x1'x2 (C) 1!2' 1!"" 1!"" & &

N21"8N24 N21"8N24 C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &

N2418N11' N2418N11' C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N24"8N1"2 N24"8N1"2 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2#8N1"1 N2#8N1"1 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1##8N11' N1##8N11' C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2418N1"2 N2418N1"2 C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N24"8N1"1 N24"8N1"1 C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N2448N1"# N2448N1"# C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N248N1"> N248N1"> C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & & N2428N#' N2428N#' C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N21$8N1"# N21$8N1"# C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2448N1"> N2448N1"> C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N248N#' N248N#' C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N24$8N14% N24$8N14% C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N24%8N14' N24%8N14' C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N24'8N14 N24'8N14 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N2"%8N14% N2"%8N14% C >"x4"x1'x2 (C) 1!2 1!"" 1!"" & &

N24$8N14' N24$8N14' C >"x4"x1'x2 (C) 1!"24 1!"" 1!"" & &

N24%8N14 N24%8N14 C >"x4"x1'x2 (C) "!$#1 1!"" 1!"" & & N2'18N%" N2'18N%" C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N2'"8N'' N2'"8N'' C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N24#8N4# N24#8N4# C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N24>8N4 N24>8N4 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N2'18N'' N2'18N'' C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2'"8N4# N2'"8N4# C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N24#8N4 N24#8N4 C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N2'48N$> N2'48N$> C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2'8N$ N2'8N$ C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2'28N%# N2'28N%# C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & & N2'18N$> N2'18N$> C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2'48N$ N2'48N$ C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N2'8N%# N2'8N%# C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N2'>8N%1 N2'>8N%1 C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N2'$8N'% N2'$8N'% C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2'%8N'" N2'%8N'" C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2''8N44 N2''8N44 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &


38/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


N2'>8N'% N2'>8N'% C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2'$8N'" N2'$8N'" C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N2'%8N44 N2'%8N44 C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N2%"8N$# N2%"8N$# C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2'#8N$4 N2'#8N$4 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2'>8N$# N2'>8N$# C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2%"8N$4 N2%"8N$4 C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N2%48N%2 N2%48N%2 C >"x4"x1'x2 (C) 1!'"" 1!"" 1!"" & &

N2%8N'$ N2%8N'$ C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2%28N'1 N2%28N'1 C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2%18N4' N2%18N4' C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & & N2%48N'$ N2%48N'$ C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2%8N'1 N2%8N'1 C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N2%28N4' N2%28N4' C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N2%%8N>" N2%%8N>" C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2%'8N>% N2%'8N>% C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2%48N>" N2%48N>" C >"x4"x1'x2 (C) 1!'2% 1!"" 1!"" & &

N2%%8N>% N2%%8N>% C >"x4"x1'x2 (C) 1!2$' 1!"" 1!"" & &

N2%$8N41 N2%$8N41 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1$48N41 N1$48N41 C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N2%>8N%$ N2%>8N%$ C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & & N1$28N%$ N1$28N%$ C >"x4"x1'x2 (C) 1!"#$ 1!"" 1!"" & &

N2$18N$' N2$18N$' C >"x4"x1'x2 (C) 1!12' 1!"" 1!"" & &

N2$"8N$" N2$"8N$" C >"x4"x1'x2 (C) "!$'" 1!"" 1!"" & &

N2%#8N%4 N2%#8N%4 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1%"8N$' N1%"8N$' C >"x4"x1'x2 (C) 1!'2 1!"" 1!"" & &

N2$"8N%4 N2$"8N%4 C >"x4"x1'x2 (C) "!># 1!"" 1!"" & &

N2$18N$" N2$18N$" C >"x4"x1'x2 (C) 1!"%1 1!"" 1!"" & &

N2$28N%' N2$28N%' C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N1$28N%' N1$28N%' C >"x4"x1'x2 (C) "!># 1!"" 1!"" & &

N2$8N% N2$8N% C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & & N1$48N% N1$48N% C >"x4"x1'x2 (C) "!># 1!"" 1!"" & &

N2$48N142 N2$48N142 C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N2">8N142 N2">8N142 C >"x4"x1'x2 (C) "!$#1 1!"" 1!"" & &

N2$'8N14" N2$'8N14" C >"x4"x1'x2 (C) "!$' 1!"" 1!"" & &

N2">8N14" N2">8N14" C >"x4"x1'x2 (C) 1!"'" 1!"" 1!"" & &


39/58

escrici-



Longitud(m)

βxy βxAL06u-!(m)


Notación:Ni: Nudo inicial Nf: Nudo final β *, : Coeficiente de pandeo en el plano A+-A β *B : Coeficiente de pandeo en el plano A+A L!Dup4: Deparación entre arriostramientos del ala superior L!Inf4: Deparación entre arriostramientos del ala inferior

2.1.2.%.- &ara!ter'sti!as (e!)$i!as

Tios e iea

e.! ieAas

1 N28N1 N8N2 N48N N'8N4 N%8N' N$8N> N>8N# N#8N1" N1"8N11 N118N12 N18N14 N148N1'N1'8N1% N1%8N1$ N1$8N1> N1#8N2" N2"8N21 N218N22 N228N2 N28N24 N2'8N2% N2%8N2$N2$8N2> N2>8N2# N2'8N" N"8N1 N18N2 N28N N8N4 N48N' N%8N$ N#8N>N'8N# N418N4" N428N41 N48N42 N448N4 N4'8N44 N4%8N4' N4>8N4$ N4#8N4> N'"8N4#N'18N'" N'28N'1 N'48N' N''8N'4 N'%8N'' N'$8N'% N'>8N'$ N%"8N'# N%18N%" N%28N%1

N$8N%2 N4"8N% N%8N%4 N%48N%' N%'8N%% N%$8N%% N%>8N%$ N%#8N%> N4$8N$" N$"8N$1N$28N$1 N$8N$2 N$48N$ N'8N$' N$'8N$% N$$8N$% N$>8N$$ N$#8N$> N>"8N$# N>18N>"N>8N>2 N>48N> N>'8N>4 N>%8N$4 N>$8N>% N>#8N>> N#"8N># N#18N#" N#28N#1 N#8N#2N#48N# N#%8N#' N#$8N#% N#>8N#$ N##8N#> N1""8N## N1"18N1"" N1"28N1" N1"8N1"4N1"48N1"' N1"'8N1"% N1"%8N1"$ N1"$8N1"> N11"8N1"# N1118N11" N1128N111 N118N112N1148N11 N11'8N114 N%8N11% N11%8N11$ N11$8N11> N11>8N11# N11#8N12" N12"8N121N$8N122 N1228N12 N128N124 N1248N12' N12'8N12% N12>8N12$ N12#8N12> N18N12# N18N1"N128N11 N118N12 N148N1 N1'8N14 N1#8N1' N2#8N1% N1%8N1$ N1>8N1$N1#8N1> N248N14" N14"8N141 N1428N141 N148N142 N1>8N144 N14'8N144 N14%8N12N14$8N'> N14>8N14$ N12$8N14# N14#8N'2 N1'"8N4% N18N1'" N1218N% N12%8N14> N>8N1'1N1'18N1'2 N1'28N1' N1'8N>2 N2"%8N1" N1##8N% N1%"8N'# N1'#8N'4 N1'>8N4> N1'$8N42N1%"8N'4 N1'#8N4> N1'>8N42 N1%8N$$ N1%28N$2 N1%18N%> N1%"8N$$ N1%8N$2 N1%28N%>N1%$8N$ N1%%8N'> N1%'8N'2 N1%48N4% N1%$8N'> N1%%8N'2 N1%'8N4% N1%#8N>1 N1%>8N>$N1%$8N>1 N1%#8N>$ N1$"8N$% N1$28N$1 N1$18N%% N1%"8N$% N1$"8N$1 N1$28N%% N1$'8N4"

N1$48N4$ N1$8N' N1%"8N' N1$8N4$ N1$48N4" N1$#8N11> N1$>8N124 N1$$8N12> N1$%8N14N1$#8N124 N1$>8N12> N1$$8N14 N1>28N112 N1>18N1"' N1>"8N#> N1$#8N112 N1>28N1"'N1>18N#> N1>%8N11$ N1>'8N12 N1>48N12# N1>8N1' N1>%8N12 N1>'8N12# N1>48N1'N1>#8N11 N1>>8N1"4 N1>$8N## N1>%8N11 N1>#8N1"4 N1>>8N## N1#8N11# N1#28N12'N1#18N12$ N1#"8N1 N1#8N12' N1#28N12$ N1#18N1 N1#%8N111 N1#'8N1"% N1#48N#$N1#8N111 N1#%8N1"% N1#'8N#$ N1''8N1# N1#$8N1 N1#>8N$ N1##8N$ N1#>8N1 N1#$8N1#N2"18N11% N2""8N122 N2"18N122 N2""8N1 N2"48N114 N2"8N1" N2"28N1"" N2"18N114N2"48N1" N2"8N1"" N2"$8N12 N2">8N144 N1'%8N141 N2"%8N12 N2"$8N144 N2">8N141N2"#8N11 N21"8N1> N2"'8N24 N2128N4 N218N# N2148N14 N2118N2" N21'8N' N21%8N>N21$8N121 N21>8N14> N21#8N14# N1'48N1'" N21$8N14> N21>8N14# N21#8N1'" N2218N12"N22"8N12% N2218N12% N22"8N14# N2248N11" N228N1"$ N2228N#% N2218N11" N2248N1"$N228N#% N22%8N% N22'8N14$ N22%8N14$ N22'8N14# N22>8N1 N22#8N12 N2"8N1$ N22$8N2N228N2 N28N11 N248N1% N218N22 N2%8N N2$8N1" N2>8N1' N2'8N21 N21'8N>N21%8N1 N2128N# N218N14 N2148N2" N2%8N1" N2$8N1' N2>8N21 N228N11 N28N1%

N248N22 N22>8N12 N22#8N1$ N2"8N2 N2"%8N11 N2"#8N1> N21"8N24 N2418N11' N24"8N1"2N2#8N1"1 N1##8N11' N2418N1"2 N24"8N1"1 N2448N1"# N248N1"> N2428N#' N21$8N1"#N2448N1"> N248N#' N24$8N14% N24%8N14' N24'8N14 N2"%8N14% N24$8N14' N24%8N14N2'18N%" N2'"8N'' N24#8N4# N24>8N4 N2'18N'' N2'"8N4# N24#8N4 N2'48N$> N2'8N$N2'28N%# N2'18N$> N2'48N$ N2'8N%# N2'>8N%1 N2'$8N'% N2'%8N'" N2''8N44 N2'>8N'%N2'$8N'" N2'%8N44 N2%"8N$# N2'#8N$4 N2'>8N$# N2%"8N$4 N2%48N%2 N2%8N'$ N2%28N'1N2%18N4' N2%48N'$ N2%8N'1 N2%28N4' N2%%8N>" N2%'8N>% N2%48N>" N2%%8N>% N2%$8N41N1$48N41 N2%>8N%$ N1$28N%$ N2$18N$' N2$"8N$" N2%#8N%4 N1%"8N$' N2$"8N%4 N2$18N$"N2$28N%' N1$28N%' N2$8N% N1$48N% N2$48N142 N2">8N142 N2$'8N14" y N2">8N14"


40/58

Tios e iea

e.! ieAas2 N'8N42 N428N4> N4>8N'4 N'48N'# N>48N%> N%>8N$2 N$28N$$ N$$8N'# N18N4% N4%8N'2

N'28N'> N'>8N$ N>$8N>1 N>18N$ N$%8N'# N$18N$% N%%8N$1 N>28N%% N'8N'# N4$8N'

N4"8N4$ N>8N4" N"8N14 N148N12> N12>8N124 N1248N11> N#18N#> N#>8N1"' N1"'8N112N1128N11> N2'8N1' N1'8N12# N12#8N12 N128N11$ N#28N## N##8N1"4 N1"48N11N118N11$ N18N1 N18N12$ N12$8N12' N12'8N11# N#"8N#$ N#$8N1"% N1"%8N111N1118N11# N$8N% N18N$ N1#8N1 N2'8N1# N18N122 N1228N11% N#8N1"" N1""8N1"N1"8N114 N1148N11% N128N1" N1448N12 N1418N144 N1$8N141 N118N1" N1>8N11N248N1> N2#8N24 N#8N4 N148N# N2"8N14 N2'8N2" N>8N' N18N> N14>8N121 N14#8N14>N1'"8N14# N18N1'" N14#8N12% N12%8N12" N>#8N#% N#%8N1"$ N1"$8N11" N11"8N12"N14#8N14$ N14$8N% N128N1 N1$8N12 N28N1$ N2>8N2 N118N2 N1%8N11 N228N1% N2$8N22N1"8N N1'8N1" N218N1' N2%8N21 N#48N1"1 N1"18N1"2 N1"28N11' N11'8N% N>>8N#' N#'8N1">N1">8N1"# N1"#8N121 N1#8N14 N148N14' N14'8N14% N14%8N1" N48N4 N48N4# N4#8N''N''8N%" N>'8N%# N%#8N$ N$8N$> N$>8N%" N8N44 N448N'" N'"8N'% N'%8N%1 N$48N$#N$#8N%1 N28N4' N4'8N'1 N'18N'$ N'$8N%2 N>%8N>" N>"8N%2 N#8N41 N418N4$ N>8N%$N%$8N$1 N$'8N'# N$"8N$' N%48N$" N1'28N%4 N%'8N$1 N1'8N%' N%8N4$ N1'18N% N1>8N142N1428N144 N14"8N144 N1%8N14" N1'48N1 N1''8N2' N1'%8N1$ N'8N1'$ N1'$8N1'>

N1'>8N1'# N1'#8N1%" N1%18N>4 N1%28N1%1 N1%8N1%2 N1%"8N1% N18N1%4 N1%48N1%'N1%'8N1%% N1%%8N1%$ N1%#8N1%> N1%$8N1%# N1%"8N1$" N1$18N>2 N1$28N1$1 N1$"8N1$2N1%"8N1$ N1$8N1$4 N1$48N1$' N1$'8N> N1$%8N" N1$$8N1$% N1$>8N1$$ N1$#8N1$>N#18N1>" N1>"8N1>1 N1>18N1>2 N1>28N1$# N1>8N2' N1>48N1> N1>'8N1>4 N1>%8N1>'N#28N1>$ N1>$8N1>> N1>>8N1># N1>#8N1>% N1#"8N1 N1#18N1#" N1#28N1#1 N1#8N1#2N#"8N1#4 N1#48N1#' N1#'8N1#% N1#%8N1# N1#$8N1'' N1#>8N1#$ N1##8N1#> N2""8N1#$N2"18N2"" N2"28N2" N2"8N2"4 N2"48N2"1 N#8N2"2 N2"'8N2# N2"%8N2"$ N2"$8N2">N2">8N1'% N2"%8N2"# N2"#8N21" N21"8N2"' N2118N2' N2128N21 N218N214 N2148N211N21'8N21% N21%8N1#$ N21$8N21> N21>8N21# N21#8N1'4 N22"8N21# N2218N22" N>#8N222N2228N22 N228N224 N2248N221 N21#8N22' N22'8N22% N22$8N2> N22>8N22# N22#8N2"N2"8N22$ N218N2$ N228N2 N28N24 N248N21 N2'8N2% N2%8N2$ N2$8N2>N2>8N2' N#48N2# N2#8N24" N24"8N241 N2418N1## N>>8N242 N2428N24 N248N244N2448N21$ N24'8N1# N24%8N24' N24$8N24% N2"%8N24$ N48N24> N24>8N24# N24#8N2'"N2'"8N2'1 N2'28N>' N2'8N2'2 N2'48N2' N2'18N2'4 N8N2'' N2''8N2'% N2'%8N2'$

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Caracter!"% "!"'

2 C 1""x'"x1'x2 (C) 4! 1!%" 2!1" %#!1$ 14!#% "!"%Notación:

ef4: eferencia E: Frea de la sección transversal Ev,: Frea de cortante de la sección segGn el eje local A-A EvB: Frea de cortante de la sección segGn el eje local AA I,,: Inercia de la sección alrededor del eje local A-A IBB: Inercia de la sección alrededor del eje local AA It: Inercia a torsiónLas caracter#sticas mec?nicas de las pieBas corresponden a la sección en el punto medio de las mismas4


41/58

2.1.2.4.- *a+la de !#("ut

Tala e c-'=to

3aterial ieAa(Ni8N.) er.il(6erie)

Longitud(m)

:olumen(mP)

eso(Mg)9i-o ?esignaciGn

,cero con.ormado ,693 , % % Msi N28N1 C >"x4"x1'x2 (C) 1!'' "!""1 4!1

N8N2 C >"x4"x1'x2 (C) 1!'' "!""1 4!1

N48N C >"x4"x1'x2 (C) 1!'' "!""1 4!1

N'8N4 C >"x4"x1'x2 (C) 2!"% "!""1 '!$2

N%8N' C >"x4"x1'x2 (C) 2!"% "!""1 '!$2

N$8N> C >"x4"x1'x2 (C) 1!"1 "!""" 2!>%

N>8N# C >"x4"x1'x2 (C) 2!"% "!""1 '!$2

N#8N1" C >"x4"x1'x2 (C) 1!'' "!""1 4!1

N1"8N11 C >"x4"x1'x2 (C) 1!'' "!""1 4!1

N118N12 C >"x4"x1'x2 (C) 1!'' "!""1 4!1

N18N14 C >"x4"x1'x2 (C) 2

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