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A 0.1 .. G
A
D. Ja J P GaI Ia a UNAM
........................................................ 1
5.1 INTRODUCCIN............................................................................................................................... 35.2 CRITERIO GENERAL.......................................................................................................................... 5
5.2.1 ........................................................................................... 55.2.2 ...... ....... ........ ....... ....... ....... ........ ....... ....... ...... ...... ....... ...... ....... ....... ....... ...... ...... ....... 6
E ba aa aca a aa cc ......................... ............. 6M ca G....................................................................................................................................... 6Ac ...................... ............................ ............................ .............................. ......................... ............................ .7
5.2.3 E ......................................................................................................... 75.3 MTODO SIMPLIFICADO................................................................................................................... 9
5.3.1 F . .............................................................................................................. 95.3.2 C . ........................................................................................................11
5.4
COLUMNAANCHA.......................................................................................................................... 125.4.1 ............................................................................................................................. 12
5.4.2 ...................................................................................... 15a ca ....................... ............................ .......................... .............................. ......................... .......... 15a ca aa ........................ ............................ ............................ ...................... 16Ica a a ..................................................................................................................................... 16Ca Sa Va (J) .......................... ............................ ............................ ...................... 16
5.4.3 ....... ..... ........ ....... ....... ....... ........ ....... ....... ...... ...... ....... ...... ....... ....... ....... ...... ...... ...... 16Ac c a ...................... ............................ .............................. .......................... ...................... 16Cab c .............................................................................................................. 16M ba aa () ........................................................................................................................ 17M b ab .......................................................................................................................................... 17
5.4.4 ...................................................................................... 175.4.5 ........... ....... ...... ...... ....... ....... ....... ...... ....... ....... ...... ....... ...... ....... ...... ....... ....... . 185.4.6 ...... ....... ....... ...... ....... ....... ....... ........ ....... ....... ...... ...... ....... ....... ...... ....... ....... . 195.4.7 ...... ....... ....... ...... ...... ....... ....... ...... ....... ...... ....... ...... ....... ...... 195.4.8 ................................................................................................. 205.4.9 ............ ...... ...... ....... ....... ....... ...... ....... ....... ...... ...... ....... ....... ...... ....... ....... 20
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A 0.2 . . G
5.5 ELEMENTO FINITO......................................................................................................................... 215.5.1 ................................................................................................................... 215.5.2 ..................................................................................................... 225.5.3 ................................................................... 22
5.6 DIAFRAGMA...................................................................................................................................235.7 MUROS DIAFRAGMA.......................................................................................................................23
5.7.1 C ...................................................................................................................... 235.7.2 ...... ....... ....... ....... ...... ....... ....... ....... ....... ...... ....... ...... ....... ...... ....... ....... ...... .. 24
Ca aca ............................................................................................................................................... 25Daa a ...................................................................................................................................... 25
5.8 SOBRE LA OBTENCIN DE LAS FUERZAS SSMICAS............................................................................. 265.8.1 E ......................................................................................................... 265.8.2 A ....... ....... ........ ....... ....... ....... ........ ....... ....... ...... ...... ....... ....... ...... ....... ....... ...... .... 275.8.3 ................................................................................................... 285.8.4 E C .............................................................................................. 305.8.5 ................................................................................................................. 315.8.6 C .................................................................................................... 32
5.9 ANLISIS POR TORSIN ...................................................................................................................32
5.9.1 . ..................................................................................................................... 335.9.2 D . .................................. 345.9.3 F ........................................................................................ 345.9.4 E . .............................................................................................................. 355.9.5 E ....................................................................................................... 355.9.6 D , D ........................................................ 36
5.10 EJEMPLO DE ANLISIS DE EDIFICIO DE INTERS SOCIAL.....................................................................375.10.1 ..............................................................................................375.10.2 A C ........... ...... ....... ...... ....... ....... ....... ........ ....... ....... ...... ....... ...... ....... ...... ....... .37
La ..................................................................................................................................................... 37La aa ................................................................................................................................................. 37Ecaa .......................................................................................................................................................... 38M .............................................................................................................................................................. 38Caa a ..................................................................................................................................................... 38
5.10.3 ................................................................................................. 38Cc cca ............................................................................................................................. 38C aa .............................................................................................................................................. 38C c D X ................................................................................................................................ 39C c D Y ................................................................................................................................ 39Fa Sca ............................................................................................................................................. 39R ba ................................................................................................................................................ 40M c aa a ac a ca .......................................................................... 40Eac ................................................................................................................................... 42Rc .................................................................................................................................... 42R ................................................................................................................................. 43
5.10.4 ................................................................................................................... 435.11 EJEMPLO 2DE TORSIN SSMICA..................................................................................................... 445.12 NOTA SOBRE UN CASO TPICO........................................................................................................ 445.13 REFERENCIAS................................................................................................................................ 45
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0.3
5.1
A b cca a ac a c a, aca aa caca, cc
aa a ca, aa a acc, ba, a caa, a , a a ca, a b a a acc
, ca a c. La a , ca, a c a c a, a a a c c, caa c a
a, a aa cca aa aa aa c cc.
E aa ca a a D Fa, ccaa a a, a a a a a aa a a a bca a
aca a caa . E a Na Tcca Caa Maa (NTCM) ca aa ccac b a a ca
a ca a cac .E a NTC aa (NTCS) ca a cb a a ca ac aa a cac
. E c ca a ca c b a a NTCS abc ca acab
a a ca ba a
ca, a a NTCM abc a a caca a a . Ea aba.
E c a NTCS ,a, a c aa b
a a aa ba a , cc c a a ca.E a ca ca, ac a aac
a ca aa a a aa ca c a, ca aa, a cc a a
aa. Aca abc b a ca a cca
ca a cca acca aaa a a ca,a abc c aa ac. Aba a, a ca aba a aca a ca a a ca a a a . E c a a c ca a
acac.Ea a c b a a a ca
aca ac aa a ca a .
E aa a a a ca aNTCM, c ca, a a ca c a aa a aa
c.
La NTCS, a, a a ca aa ca
ca, ca, a bc
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A 0.4 . . G
a a aa ac aca a c a a ca a ccaca a ca, ca a cca acca. E a a aa caca
a a acaa aa a ca a cca acca a
ac acab aa ca.
Ea c ca a a NTCM, ca ca aca a c. E aa ca, ac a ac acab a
a ca a a a ca a.E ba, a a c
a ac ca a: a caa, a aaa, a c.
Ic cc aa a bc a ca ca a aa
, a aa c c a a aa a. A a c aaa a a a cca. E c aca a a a a aaa a a
ca a a a ; a ac ca.
P a
a c a a
a a cab c a aa a aa caa. Laa ca a c ba, a aa ca, a ca
(Hbb, 2011). A ca a c a a ca, aca, c a aa ac a.
U ac a a ca aca. S
a a cac a NTCM ca caa a ba c(Taa, 2008). S a c ca c aba aa ab .
N a ba a cc ac a a aab
a a ; aa a bca
ac, c a c b a aa c
cc c c.
Da cac acca a . Ca ca a aa ca. Ra a aaba a c
S a a aa
a aa ca ca aaa. E aa a a ac cc ac
ca
a aa caa c ca.
Ea a aac aa
cc a a aa a caa. E aa, b, a caca.
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0.5
Ta c aa a a a aa aa aa ca.
5.2
La NTC abc c a aa
a a cb a a ca aa (c 3.2.1) c :
L
, ,
.
E
, ,
ca c c bcaa a caa aa (c3.2.3.1)
P
,
( 3.2.3.2),
3.2.3.3. S
.
....( 3.2.3.2)
L
. E
. P
,
. P
.
A aaca, c c , ca a
ccac acac. Ica cc aa aa, c cc a a ca aa b aa a aa c a c aa cc aaa. E a aa
ca a aac c, a a a aa a c a
ca aaca.5.2.1
Paa a a cc aaa ca ca c acca acca a cc a ca ac a c aa: cc ca, aa ac . La NTCM
a a aa cc 3.1.6 aba a aa a bc
a .
) L
.
) L
.
) L
.
) E
.) L ,
,
0.003
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A 0.6 . . G
) A
,
.
Ea , c cc c )
ca a a aa a cc cc (NTC Cc 2.1), ac b a aa aa a cc.La a caca c aaa ac aa.
5.2.2
E aca a aa abc a NTCM 2.7.5.2, aa ca
a ca ac c
= 800 P = 600 P a ca ac a aa [ ]
E aca cc a ac a a cc 1.4.1.4 a
NTC cc = 8,000 (/c2),ca cc ca II c
ca a 200 /c2 c a c 1.9 2.2/3.
L a a
aca cc a aa c c a
5.2.1 a ac a a aa a aa cc b
0.003. Va c. S
a aa a ba. E aca, ca caa ca ac = 600
a a ac a a aa = / = 0.0016 < 0.003 . E ca cc a, a
= 200 /c2
, aca = 8,000 a = = 0.00176 < 0.003 . Paa cc a ca, ab ca, b caca aca ca = /0.003, cab b a aca aa a ca a a aca aa a c.
D a aa c
a ca , a a ca ac a aa a aa, a a a aacba c,
Fa 0.1 Ca ac aa aa a aa a ac aca aa: a) aa, b) cc.
E a ca aca cc a c , c
aa. E a a a NTC = 0.4
0.003
0.6
0.003
0.6
a) b)
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0.7
E a ca P a aa = 0.25a , a a ca
= 2(1+)E a a a NTC, a ccaba c = 0.3 , caba a aac. Sba, a a ca c a b a ca a = 0.66. E aba ba aaa aa a, ,ca, a P,a a c, 0 0.5.Eca ba c (C,
2011), ca a c a c aa 0.1 0.3 . S cc aaa aa .
E c a caca a a a a c aa cca a aa a c aa aa a cc. Ba aaa
a cac c a a a a a a a ca a a cc ca c
.
La ca ac ac ca c aca
c a ca aca ac = 2.03 10/c2.
5.2.3
E a Fa 0.2 a ca c ca. S a aa, aa cc , a ac
ca ccaa c ca, a ca
ccaa a ca.
E ba aba aa ca caa ca aca:
a) P a c a M a a aa P b a a a a ac a ba a a c. S a
, a cc a aaa (c aac a Fa 0.2). S a > a a cc a a c a aa . E a a, ca a a cc a ;
Fa 0.2 Scc aa , aaa ac cc aa.
a ca aa ac ca. Ea aa ba c aa ac a
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A 0.8 . . G
aa aa a aa cbac caa. E cc c a,a caa ac a aca, caca a a caaaa caa c
aca aa a a c aa.b) Oa a aba ba a c a a a a ac a ba aa c caca a a aa P aca M. E ca c aca c a.Ea aa c a a aac a ca a Fa 0.3.
L cc a cac:
= = = E a ca a ac a a aa a aa a a ac a a aa cc. Da a aa ca a a c.
E cc a a cac a a aa, a < 0.003c a c.
Aa a a. Ob ca a caa aa c = ( + )/2, = () (||, ) = ()
(|| , )
= (, ) > 0 = ( , ) > 0Haa cc ba aaca a a. E c bc c aba a a c a aa
= ()
()
,
Y ba aaca c = ( + /2) , = , = /2 ,Fa, = + + + + , =( + ) + +( + ) .Caca a a aa a
a , ac acac ca a a / /(), a caa aa a a. S ca ca b a a a Fa0.3
S / < 1ca . D a ca cc ca acca
( ) > 0.5. Ea a
a c ca.
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0.9
Fa 0.3 Pa (c/) a acca (/=M/P, ) a caa aa(P/P, a) a. D P a caa aaa a.
La ca a a Fa 0.3
ca a aca cc a aa aa a, a ac a a aa a a0.003, ba a a cca aca a c, a aa
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A 0.10 . . G
c a a a a a . L a ca aca . E ca ca a a aa
a ac ca, a ca a ca a a
.
Va a ab a .C a cb ,
=
+
1 =
+
/a a c aa b a / a c aab a ca. E a Fa 0.5 a a caa acaa.
S ba a acac a cab baa a, ca / , a / < 0.4; ca
Fa 0.5 Pc aa b aca a c a ac ac a, =0 G=0.4E. Sa ab a ccc ca a NTC DF. La a ca ca H/L=1.33
aa a20% (a a a Fa 0.5). Paa a , a = 2.5, aaba = 6.25.E c a a a
ca cca, a aa a b a a a ca, ,
ca aa . Ea a ca c
c a a a ca ac ( a c a Fa 0.6) ac a ca. E ac c a ca c aa caca aa. A c
a ccc, c a a b a b a a ( c
a ) ca. E caa c . Ta aca a Fa 0.4 a Taba 01a a c ca a caa . S caca a c ca a c ca a ac
a ca. La c caTaba 01 Caac ca a a F 5.4 c L_1=L_4=1.5,L_2=L_5=3, L_3=5, G=0.4 E A_c=5/6 A._/_T ca a
T MDF
L / / RDF/T1 1.5 0.04 0.08 1.81
2 3 0.21 0.23 1.10
3 5 0.49 0.38 0.77
a caa caca c
cc a caa a a. L a aca , a c a cc
a c c c
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0.11
, .
C aba aca, c ca c
ca a ba 81%, ca c c a
ca ba ca 23%.
La caa aa b aacaa a aa a a ca c c caca a a aa ba a , aa aa cba c a caa ca aa b a cc
.5.3.2 .
La cc aaa ca a a caaa a a
ca:
) E , 75
.
E aa aa
a a ca aa aa ac ca
ba aca. A,
) D
. P ,
, ,
, ( a
Fa 0.6 aa cc a cca.) La cc a a aa, c a c, c caca a ca .
) L
2.
Ca a aa aaaa, a aaca, c a b a a ba aaa,ca aa a a cc ca. E c
a ca ca a b a.
) L
1.5 13
.
La cc a a aa caa a a a a caa aa a .
E a a
ca a ca a cca , a ca a
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A 0.12 . . G
= 1, 1.33 = 1.33, > 1.33 Fa 0.6 R a; a aa b a ca .
a ab. La cc
a aa , a a , a cc ca a ba aa a .Ea cc a aca a aa ba a . L acaa aac abaaa aa ca aca a a caa cc a . L
a aa a c .
Db a cab a c a ba aa caca a ca . E cc a ca a, ac ca a caca a aa ca , c a c ,
aba c ba a, a a ac ac c cc.
E cc a a aa ac ac c a NTCS.( a c 5.8.4). Paa c caca
a a ca a cc c caca c c,
, Maa D S
a C Fa Ecca(CFE)
5.4 A
5.4.1
E a ca aca, ac a acca a aa a:
c aca b a cc a ca . Aca, b aca,
a b a. Sba, a ac c ca aca a, ca ca, aaba, aaaa a . Ea a ca c a a
a. Ea ac, caaa, a caa, a ac aca b ca aa c a
a , , c , c.
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A 0.13 .. G
E c, , a c (baa) ca cc aa a cc aaa aaa
.E a ca aca caa NTC cc 3.2.3.2. E a acac ac a c:
1) L a c baa ca ac ca.
2) La cc aa
a cc aa ca cc aaa ca.L ca a aa a a aaa, b c
. V c a Fa 0.9.
3) E c caa a
c . Ea c, a, a c a cc
a ca ca b b . ( 5.7). A aa aa c ca a a
c c, ca < 0.1.4) La a a cc b a ca, a ca aa
ca ca a c .
5) Paa a ac
a ccaa b , b a
a caa aa a a b.
E ac c a cc aa a ac
a a , cca , c. Paa aca ac, c aacca b aca a c
c cca a . Lacc c abc , ca, b a ca aca
b c c a c
a cc c . S a a Fa 0.8 ca
a (a = 0) , aa b ()
0.7 . ,
/2
/2
/2
/2
, ,
= + + = /
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A 0.14 . . G
a aa ().Na a cc a ca a cca a c, a c a a a a
cca a
ca aa.
L aa, aca a ccc a b
a aa a a c. E c acc a ba ac. S ba aac a a a ca ccac a a a aa
a a c ac ca ca Laa. E c a a a aa
a a ba
= = + Fa 0.8 Rcc cca. , a,
, ca. Da aa
a caca aa ca.
c
a, aa cac a a
a a a cacc c a aa.
6) La aaa, ca aa a cccca, c a baa c a a a baa
a; ca ac, a, a aa a aac aca a,100 1000 c a a aa
a. E aa acc cca aa cab a ca caa ba cca aa a aca.
E ca c a a a aa cca c , a cc aa
Ca: = + , E ,I a cc
cc aa a a ac
Fa 0.9 M a c ca aca, a ca, a ca acc aa,
a ca ca
a ac a /, aca cc aca a aa.
caa c a a a aaa ac,
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0.15
. La cc ca cc abaa, ca b, cbac c aa ca a, aa a c .
5.4.2
E a Fa 0.9 a aa
a c ca aca. L ca a cca a . E ca a ca cc a aa a ca. E a a, aa , aca, a a ca aba cc
aaa a a a cc, a cac a a a
ca Sa Va.
E a ca a cc, ca
aa, a ac a:
/
a aa a cc.
E ac a c b ca, a a ca a a a a cc, 1.2 (6/5) aa cc aa caa. E ac a b c = /ca a a a ac a bc aabca ca 1; a
cc a a
ca , a, a Caa aa a a a
1 =
c a a a (Hbb, 2011).A , a c ba a a , ca ca a ac ca.
E ca a ca b
a ca ca aa, a a aa.E a ca a a a ba a aa. La ca a ca cc a aca: a a ca a ac a, a a ca.
Hac cc ac a ca aa a ca b a
cac aa a (Taa, 2008),
=65 + 65 (1)2 + 2 0 < < 0.21 < < 6 = ( ) aa a ca a a ; = /a ac a. La cb
b ca : a ca = 0 b = 1 a aa a = 6/5 cc caaa.
E ac b a a . Ea b a aa a aa a, a caa ca aca baa a a ca a .S T, a a a
, a a aa a aa aa c aa c ca aa. La aac a ca a.
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A 0.16 . . G
E aa a ca a .2 b aaaa.
C ac a a ca aa (c a aa a a
), a NTC ca a aa b a a a, a ca b c a a ca ca.
()
La a aaa aa caca aa aa a
cc aba a aa, = /35.4.3
S a a cac cac ac a cac.
Ca aca a
a a, a b a ca cc a a ac cc , b a aa ab a c cc T a, acc a a 8 + a a ac a aa, aFa 0.10.a.
E a Fa 0.10.b a ca, c, , aba aa a, a a a
cab a c .
a)
b)
c)
Fa 0.10 a) M ca aca b) c aa, c) M ba
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0.17
Ea aac a c ba .
()
E a Fa 0.10.c, a a ac ba a aa. E
, b a c a ca aca ,
b a aca . E , ba a cac a NTC a a cc ba a aab c a cc a ab. Dca ab ca.
Ca aa b a
ab aaa ba c a ca.S a c ,a caa ca ca, a c a
ba a ab, b a b aa acaa a a aa a ab.Ca a ab , a a
a a c a
a a, a a c a, aa b ab a ca. A aa , a a a caa
ca, ca aa ca a
a a aa c.. A caaaa, a aba
a a a ca c, aca a aa
a ca a aaa a c. E a a c a ca aca c a c a. E
a ab caa ca, ac
a caa, aca a acaa baa .
5.4.4
E c ac a
a c aa ca aca.
S ba, a a a a aa (a 9), a a a aa acaa.
E ca a ca .
Fa 0.11 M a c a) a a baa b) baa.
La aa a c
a baa, ca ac ca, :
5 20 + 6 15 = 5 35 + 6 15
= /, = = 0, 1 ca a baa acaa,aa ca.
La caac aba c ac ca c a a
= 1 = 1535 + 6 15
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A 0.18 . . G
E a Fa 0.12 a c a ac ac, ca cc a: ac
Fa 0.13 E a a
. La a, ca, a a a ; a aaa ..a a aa
ca a ca 0.2 0.4 .Aca c a ac 20%, a ac ac
a a a a ca acaba a a Taba
02.Taba 02 Rac ac L/H a aa a aa c ac,
20% a aa.
G=0.4 E G=0.2 E
A 1.632 1.155
E 1.915 1.354
Na a ca
cc a ba ca a ca
/ a a a . Haca cac, a cac a a: ca aaa a a , a caa aa a aca
ca a ac a aca, aaa ac c ca / > 1.7 a aa = 0.4. Na b a aa cca a
= 0.2 .E a a aa a baa cb ab
c
= 12 ( 2 + /2)(7+4) , = 12 ca a ba a aca a baa:
ca a
/2,
a a . Ea ba a aca a aaa 75% a aa. Paa a aca ca aca a a
. E aca aa a a baa aca b, aa a baa aca a bacaa. E
ca a aa aca aca c.
5.4.5
Ca a a a aa a ac a,a ca a ca ca a a cc aaa a a aa .
La NTCM abc ac c c ca, b c a cc . VFa 0.14. Ca
a, ca a a cc a aca a
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0.19
aa a, ca a ca ac c. U a a a Fa 0.15. E 3D b ca c
ca a cc aa.
Fa 0.14 Ac c ca a a cc a. (F 3.5 a NTC)
Fa 0.15 M ca aca a
Fa 0.16 Vaa a. Db a aa c ca.
E ba, a, a
, ca b aba cc
a. E a cc aaaa a aa, c a a c aa, a a c a a a a cc aa; cac a a NTCM
5.4.6
E a Fa 0.16 a ca ba aa a. E a a a
ca, ca a ba ac.
5.4.7
L a a , aac a cc aa , b ca a a. E ca a caa ca .
E c cac, b aa ca
c ca. P : a Fa
0.15 a cc aa b c a a c a a
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A 0.20 . . G
ca c a; ba, ca a cc b c a cc aa a ab.
5.4.8
C b a a c aa a aaba a
a ca aca, a a ac c a a aa a a caa aa caa cca c a aa. S cac ac a Fa 0.17 c a ca aca.
Fa 0.17 M ba
FR1 FR2
FR3 FR4
Fa 0.18 D c ca aca
L a aFa 0.18. L a caac b c a c aaaaa a ca a cca; a Taba
03Taba 03 E a a ca c ca aca
EF1 EF2 EF3 EF4
(%) (%) (%) (%)
S1 3.9 8.3 10 13.4
S2 5.2 11 13.3 17.8
S3N1 10.7 5.7 26 25.5
S3N2 17.6 15.4 22.6 1.1
S3N3 5.3 6.1 12.4 5.4
S4N1 27.8 35 4.9 6.8
S4N2 31.9 35.5 21.6 42.1
S4N3 12.3 9.8 16.3 28.4
L ca c aacab aa a cc S1 S2, ba a cc ca a c a aa, , a a cab a .
5.4.9
C c a ca?. Ea a a a a a ba a . D c aa c a ca,
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0.21
ca a caa c a a ca b a a caca a a a a aa cab a. S ba
ca ca b aa , a c aa
aa cab. La ca ca
b a a c ca.P a a aa aca a a ca a a , a, a ca aa c ca
a a ac c. T ca. N
ac b c c aaabc, a ca.
S a a Fa 0.29, a
c ca aca c c aa, ca aa a aFa 0.28
5.5
E a c (EF) a, a, b a, ca a ca c a aa a c EF. E aca a a c a c ca a cc aa
ca aca. N ca cacaa ca a cc
ca a c c ac a a ac . E a ac ac a a a a a
ca a a 2,
ca a cca a 90, 135 45. D c b ca . ( Fa 0.19).Ma 3D, ba, aa a cab. La
cac a, a c aa caa , ab a
.
5.5.1
L c aaa, a a a a, caca
a a aa a a c
ca ac. Ab a aa a .
E ca a baa ca aa aa c a, c c a acc cab, a a a acaa ba .
Paa a a a , a aa
a aa a a baa, aca aac a aa a
c .
Paa a a ac ac ca
a ccaa a a ca c aa a a. E a a
, a, ac
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A 0.22 . . G
cc a a a ca cEF.
Fa 0.19 E a) ac ac. 2.0 , b) < < 135, c)L c b cc.
Paa a aa
ca a
a ca c baa c EF. U c a a Fa 0.20.E c a a cac a acaa, a , aa ca a, c a Fa0.19. U a c aa a ca aa.
La baa ca
b aa , a a . Ea
a c a ac a. P , a ba b, a, baa ,a c a c, aa c a, aaa
10%.5.5.2
Ua a ca a aa EF aa a aa aaba c
a , a a caca ca a , a aa a, a a c aa b a aaa aa ac . Ea a
c a a aac.S ba, aa ca cca a cc a a, aa aa a aa a ac. Sb ca ac c a aa a .
5.5.3
C ca ca aca a a c aa caca ac a a . L a a Fa 0.17
Fa 0.20D c ac a Fa 0.17.
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0.23
Taba 04 E a a ca c
EF1 EF2 EF3 EF4
(%) (%) (%) (%)
S1 4.5 0.2 2.9 3.2
S2 6 0.2 3.8 4.2
S3N1 7.3 3.4 7.8 8.6
S3N2 2.3 1.4 5 5.6
S3N3 2.4 3.3 2.1 2.7
S4N1 4.1 4.2 1.9 2.1
S4N2 0.6 4.8 5.9 6.2
S4N3 11.5 5.7 5.7 6.8
L a ca aaa ca a a Taba04. L a aa a ca b c .
5.6
Na, a a a cc aaa a. C ca , aaa aa a cc cca a c
ca a a.
5.7
E c c a ba ac
cc ac, c aa aa aa a abac, ac aa c
a ac a a caca . Ca a a ac a c
a ac (c
a ab) cac c , aa a cc a ca aa a
a a a ca a a a cac ca.
A cc c aaa, ca c a
ca ac
a c b. S , ac b cc ac, a cca aa caa (aacaa) b ca c a aaa
aa.La ca a aac c c ,a aa a,a ca a a a a ca aa a a ca ca ac aab a c aa. S ba,a aaa aa c ca
aa a a acaa ca, a aaa ca a ca cca a ca
aab c a ac b
aa. M a, ca c a ca, acbc ca ca aa a
a c aa ac.
Paa a a
ca c b aa a ca, a
aa c a a. E ca ca b
c a aa a, aa a ca
5.7.1
A baa aa aa, ac abaa c a a a, c a ca aca (cc I) a
a ca (a) ca
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A 0.24 . . G
ca a a a a , a (aa) a a a ca.
Fa 0.21 Dac ac aaa c aa a
S ba, baa aa aa aa aa a ac aa b a a ab
a ab a, c ca ac aa ca aa a Fa 0.21.
E aac c
acab a a cac c ac; a c b aaa ca a a cc a aa aca a a aa,c aa. La bc ca ab,b a a ccaa a c a aca; ba, a ccac
a ca cac(Ba M, 1998).
D a caacca
aa, a a , ac a cc aa a c
a a aa ca ( aaac a a):
1) P aa. S a caa ca, a a aa
a a a c a a a a acac caa.
2) P aaa a aa.
Ga a a a a c a, c a
b a a ca .
3) P a a a a aa. Ga a a (a a c a aa).
4) Ua cbac a a, ca, , c aa aa a, a
ca a aaa a a aa a a a a a a a.
5.7.2
Ba ba a aa aaa c a aa a c c , a a ac ca ca c a a
, a ca a ca c
a, a caa aa, aa, abaa a ca, b ac a ca cc
/ c a a a ca ca a. D a a ca cc, aca
a a cc aa aca ca.
E c cc: 1)ca a a 2) ca
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0.25
aa ac c a aa. E ca a caca a ca. Paa c c c a a a aca a aa
ac a ca 1) ca ca a a 0.7 a
aa a caa ca 2). Ea a cc
a aa ca.
Paa a aaa, Baab ca ca, a) c ca aca b) c a aa a. Ab aa
aa.
La aa cacaa c ca aca ac c a 0.1 c , aca aa a a ca ( Fa 0.22 b a cc)
/2
a ca = ( + 2 )c = . Ua aa a, b, a, a aa aa a ccaa, cca cc c aa a ca b ca
= / c aac a cac
aba. E ac a ca a aa a, ca
= 0.37 0.12+ 0.023
= 0.2 0.05+ 0.019 La aa a cc a a ca,c ca aaa aa,
a aa ba. La NTCM c 4.2
cca c a a aa a ca aa a a ca
ab. E , a a ca ab aa a a ca a ca aca. Ca
a ab c.
cc a c
a ab a a
aa b ca a b b
C a aa a ac a a .
E a aa a baa ca ba
aaa aaa ca aa a a a aa a a a aa a a.
Ea aa ca acaa aa ca ca
aa.
E a Fa 0.22 a a caac
ca ca a aa a aaa c aa a. L aca aa a c ba a a aa a
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A 0.26 . . G
ca aa a aa.Ca c a a a acc a aa c a ca a a.
E aca aa a aa a c a aa, aa a baa ac c aa a a, a a a
Fa 0.22 Ga caa aa aa a
aa ca c c a aa.
E a a aa caca a c , , aaca a .Ca a aa
ca a a, ac a aa a ca
0.50.22) = 0.19 0.03 L
h+ (0.0035
+ 0.005 Lh) E c a ac ac ca aa ca a aa, ca a
c a a aacaba c a aa.
U ac c aca Ba a
cc a a .E ca a ca aca
caa ca a b a / = / /. E a a ac ab ca a aa a.
5.8
N b a cc a
ca a a bca a ca ca c c aca
c ca a NTCS, aac a ac a ac a a aaac .
5.8.1
Paa a a a ca a
ca aca a aa ccaa caa a ca
cb a aa cc a a a . E a a aaa a, a ca aa caa aaa b aa a ac , cc c a. La a ,
a , aa a c a. E a aa c a ba
aa. E a aacc aca a aca
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0.27
c a ba a ca, cacc a. La cac ca cb
(0.2)D
a a aa (aa)
a ca, a a aa, a a c, , aa a ca acac aa a a ba c
a. a acac a ba c 1 a ba c a a cc a. Ua c a (Ca, 2007), 372.
5.8.2 A
La c a a cac aa a a a c aca a cac ca (0.2), a a a a a c a cbaca a a a
(0.3)
a a a
, a ca a a a ca a bac b, aa ca ba, ccac a caa a a ba a ca. La a a b ac ba acac (0.2) aa, a ba a caac
c (0.4)
a cca aa bac . S (0.3) (0.2) ca b (0.5)c
(0.6)a , a aa a a a,
0
0 0 La aa a a a
c a a a aa a a aa b, a c a cbaca a a aa c.
D a cac (0.5) b
2 + = (0.7)
a acc aa cc , = , = , = 2
La cac a a a ba c a acac a
ba c ac . La caca
+ 2 + = (0.8)D = . La a a a ac aca a a a
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A 0.28 . . G
a a: . Ua ac aa a ac. (0.3), cb c:
(0.9)
cca c a acacacaa a .La cac 0.8
ca b a c. (0.3) aa b a a a. Ua b aa
caca cc , ca a a c ca baa
. O b b a a c aaa a aa b a
a a ca . E a a ac aa. E a ca caca a a c aa. E ca b caca a
a ac ac a a c a.
Ua caacca a c a ca a, a a cb caa a a a (0.3), ca cca, a ca a
ca aa cca. La cc a cacab a a a aaabc a acac a a. P a a
caac a ac cca (Gb & VaLa, 1996), (KaJ Ba, 1976), , c, a caa a cc a cac aaca a a a a
ca a a (L, W, &C, 1986). Ea caacca c a ab c aa
b a c c a baaac.
E c c aa caa c aa, c , b a,a a a ca aa c , cc
c aa bac a cc a cac.
5.8.3
La c aaa aa aa, aa a acaa cc. Paa c , ca a a, ba a a cac aca a a cac bab
aa a ca.La a a bab aa aca a ba (0.8) c 2/ , aa aa cc, ccc c . La caa
a c aa cb a a a a ca a acaac aaa c a a acac a aa. E
a aa aca a cc c.
La NTCS c aa D.F., a a c c
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0.29
/ a
cca a Taba 3.1 a NTCSaa a a a D.F.. E aFa 0.23 a c aa aa III. C c c bb a a a a,(, ) .La a a ca a caca c a cbaca a a a c
Fa 0.23 Ec acac a a acac a aa; = / =
a c. (0.3) a a a aa c a.Ua a a a baba
a b a a aa a a a a a a. E
a a cca ba a Rb (1951)
=
(0.10)
C aba aaa aba, cc caca, , cc c aa
a ca caca c(0.10), a aa a c a a ba.E ca caca cc c
(0.10).P a a ca
= = (, ) a a c 0.4 = (, ) (0.11)
a ca c
. Paa b ca baa ca a a a a cc a,
a a
= = = = (0.12)E ca a ca c
= ()
S, c , aa caa a a ba, a a aa c a aa , c a a
= E a a aa a b aa a
a / a a a acac a a a. E aNTCS ca ac a ca, cca b c a ca aa a
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A 0.30 . . G
a a a a aa a a a 90% a a ca. (c 9.1)
5.8.4
Ma a c a,
c a, a caacaa a c aa aa. E aa . La cac caaa c,
S aa ca ( a ba aa aa) a, a a c aa
a ; aa aa ccaa aa
E ca
C 0 . La cca aa bac
(0.13)E ca , , ca a c. (0.13)
Ea ca c a a
a aa S a a aa ca a a cc
ca
/,
a acac a aa = 2/, a ca cbc
= 2 Q a a aa a NTCSaa aa a ca,, a, a b a.
A a a, a a ac caca a a a c
aa a aaca , ba aba caa a
c = () = () ()
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0.31
a ca aaa ca, cc aca aa. E , a a caca a aaca a a aa cc ac a.
E c a aa a, acc c a aa /(aa ccc a ba a) a aa a ba a aa aa.C c a c. (0.13) a ab a ca,a a c .
E aa aa caca c a (0.9) c a c a
= = C caca aa = ca
=
(
) c
= 0
a a a
= c
= 0 . E c ca a aa cacaa a a a ba c = .
Aaa caca aa ca a a c (0.11),, ca , cb c c
= (, )=
D a cac 0.12 = / = / a aa a, ca
c a aa a a ca.S a c a
cac a a c a acaa aa cc , a aNTCS aa caca a a
=
ca baa , ac aa c. (0.12) = = (,) = / . E a
= = =
a aa caacca aca.5.8.5
La a ca baa, caca
a cc a, a a ca aaa a. Ea a
acaa a aca b a a, c aab cca a baa a. S ba a
a a a a a a a acc aca c a. La NTCSa ca ca c c aaa ca ac = = 1 + ( 1) < /; caacc c. E ac cac , cc a c c ac c
a, a a a caaca a
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A 0.32 . . G
ca aa a a, c ca c a a.
Fa 0.24 Rac a aac c. ca baa ba a ca aa ca; cc /.E a Fa 0.24 a a ac a aa a
ca c c.
La NTCS abc a ab ac ca c a a a cac aa a
, aca b c aa
ca ca a aa a ca.
E a Fa 0.26 a c a a II a NTCS c = 2.Paa ca aa a NTCS cc 5.3 5.4 abc a a a: a aca, a = 2 = 1.5 ca a ca. E ac ca c ac aca a a a
ca, ca c c b aca
aa caca a a a a ca. N ab a c
a a a a ca.
5.8.6
Paa a ca a aa a ca, c ab a
NTCS c ac cc a a ca. La ccc
c a aa a aa .
D ac a cc 6.4 a NTCS, aa a ca a ca 0.9, 0.8 0.7 ac a cc aa. L 11 aa ca a a caa cb a c. 6.1 a
NTCS. S c c b ca a 0.9, 0.8 c a 0.7 aa a ca a caca c a ac a a c. 6.3 NTCS.
La cc aa abc, a, cc a ac ac aa ac, aac a
cc, a a ca a ca, c aa
, c., aa ac acb a.
5.9 A
A a a
, RCDF a a cab a c a ca
c, ca c
b a a ca c aa c c. A a ca ccc cca ca (e). S ca a a ca aca
= /
7/23/2019 Notas de Analisis
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0.33
c aa caa c c c, caa aa, b acaa a c ac. S c ca aa ccc c c
b . S ba, a cac b a
a a a a c a. Paa a
ca ac a ac acac a cca ca, a c c .
P a, c a b
a c b a ac ca ca (Rb,1951). P a a ab a a ca c
aca a a ca aaa a a ca a a
a ca. P a a, a a ca a a a a cacaa a a. P ,b a a cb
a a ca, a a ca a ca acaa (Pa &G, 1988), (D a La & Ca,1994), (Ecba & Aaa, 1998). E a acaa, a cca b
a c c a aa acca. La aa a caa c ca c
aca, b a a ca aca aa c a. A aa a a ca a cca
acca a c ca a a a aa aca ca a a cc .
Sa, a cca a ba
(0.14)a a c aca; ac acac ca, a cca ca cc
a ca, ac ccaacca ca a a aa a ca, ca a a cc a. D
ac c a NTCS .5, .0 0..E a cc a Pc Sca D,PSD (Ecba , 2002, 2004a, 2004b,
2008), aca a ca aa.
5.9.1
La a
caca, aaa a a ca caa , aF a
a a ac aa. S aa a a a c a a ac
0
a aa b
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A 0.34 . . G
Fa 0.25 R a . S a a aaa a
cs cs sin sin cs sin Ua a a ca a a , cs sin , cc
a a , a ca aa aa, a a a aa ca a a .
Hac a cac c a a aa b a aa aca cc c
a cc ,
5.9.2
.
E ca a c a a abaca ca
c , ca ,
(0.15)E ca c cacaca a a aa caa.
(0.16) a cac ca E ca aca caa , a,caca a ca a a a aa c c a a a , aa ca
aa a = = ,
= = (0.17) a caca c c ca a cca
. E c a ,
cacaa c cca ca (C V & T, 1986), (T,1990), c c aa.
5.9.3
Ua aa c a
c
=
ac acac
ca c,
= / (0.18)Ua a c c c
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0.35
(0.19) a aca ca a acc a a aa a a cc a. S a a c aaa
/,
a aa ca a a cc a, a aa c
=
c a c. 0.19 cb c
/, a cca aaa ac a a c.0.14 a ac acac a NTCS a
= . + 0. 0. a aab aa caa , = /. Ma aa a c cc a
c aa ac a .
5.9.4 .
E a aca c aa,, c , c aa caa a a cc X
Y a ca, (Ecba ,2004a):
= = (0.20)La caa , caca c
= ; (0.21)
a caa ca
ba a caa ca, , caa c a ca.
Paa caca a caa , , a cac. E b a acaa a ca aa , cacaa c a c, c, ca
a aac a . A, a caa caca c a cac :
(0.22)
D ca c ; , caa c a ca a cc
, ca.P aa caa a a cc
a ca :
; (0.23)E b a a ca b. A, a , aa caa a a cc a :
(0.24)
.5.9.5
E a aca c ca,, c c, , caa
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A 0.36 . . G
a a cc . E :
; (0.25)La caa caca c:
= (0.26) a a caaa acaa ; ca a cc
, ca.
La caa , caca a ca c
c :
= = (0.27) a a c c:
= = (0.28)C a c,
b ca c c a a ca a
cca . A, a aa caaa a cc a :
= (0.29)5.9.6
,
E Pc Sca D ca ca, D, a
ac acac a a c aa a a cab ca. Ca a (Ecba , 2004a):
1. A a a c c,caca a a ca ca a a
a ba c c.
2. Caca a a
ca ( a,a aa, ca, c.) ca ca c aca ca a a cacaa aa, a caa a aca a ca.
3. Caca a caa caa c ca c, a a cac
(0.26) (0.27), ca.
4. C a caa caa , c a cac0.25 caca a cca ca,. C a, caca a c b ca a c c a, c ca ca.5. Caca Fac Acac T, FAT, b , ca,c a cac , aa ca RCDF :
= + 0. + . = + 0. < 0.
=
0.
6. E a cac = /; = /; a aca ca a ; b a a a ca ca
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0.37
a a cc acac . Ea aa a c ca c aa b a ca aa a 2. A, a aa,
, aa caa a, X Y, a ca b c:
+
(0.30)
= +
a
a aa , ca a a cc a cac ca; , , ca c aa a c, b a
ca aa a 2.
7. Caca a a ca. Paa , a
a ca( a, a aa,ca, c.) ca ca c caca a 2, ca c FATcaca a 5. E :
= = 5.10
S aa a ca aa a15.94 a 6.84 ac c
c =2.5 aa. Paa c a c, aaa
a Za II D Fa. S cac a ba aac a aa ba 15c aa c I ac a a NTCM. La aa a ca a a Fa 0.28.
La a a aa a a a
5.10.1
M K/2
P
R ( ) 60R () 5
M I ( ) 150M , = 00 36000C 2 ( ) 200M
= 000 1131375.10.2 A
Paa a caa ca a a aca cc ccb c c. E c
ca a aa a. E ca caca aaaa c a a ca.Paa caca a a
a caa a, a a a ca, ca, a a a aaca a .
C C
K/
L . 240
A 2 . . 30
R P L B 30
C M A 40
340
C CK/
L = 10 . 240
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A 0.38 . . G
A 2 . . 30I. 15E . 50R 8 . D . 120L . 30
C 40
T 525
C CK/2
R . 288A 2 . . 30R P L B 30E () 216C M A RCDF2004 40
604
C CK/
M, , 587C 77D 39
703
P 1803 K/3
U
M(CV)K/2
A(CV)K/2
E 170 90
A < 5% 100 70
E 350 150
5.10.3
R aa aca
ca. La ac ac a aa c:
L ()= 15.94 A () = 6.84 2.33 > 2 NP+
+NP ca N Paa
La ac a aa a
a a ba cA = 12.5 < 13 / 1.5 NP
La cca caca ca c a a (3.2.3.3.a) aNTCM. S a, a
, c ca c aa aa caca a aca a
c c c ac c. E a a a a ab cc c c c ca a a ca c c aa, caa ccc a cca. Taca, a ca a ca, cc c c a aa abc a aca
a a c a ca. S caca c aa
c a cca cacac a ca a caa
ab.
E c aa caa aa bcaca a ca ,ca aba
ba a aa, aa caca , , ca a caa aacca ca a
caa c a caa a acca,
MURO W X W*X W*
N. T C T T
1 4.62 0.00 3.35 0.0 15.52 1.59 2.85 5.595 4.5 8.93 1.59 2.85 0.425 4.5 0.74 3.17 4.20 5.66 13.3 17.95 3.17 6.60 5.66 20.9 17.9
6 2.36 7.90 1.675 18.6 4.07 3.17 9.20 5.66 29.2 17.98 3.17 11.60 5.66 36.8 17.99 1.59 12.95 5.595 20.6 8.9
10 1.59 12.95 0.425 20.6 0.711 4.62 15.80 3.35 73.1 15.512 1.74 2.17 6.7 3.8 11.6
7/23/2019 Notas de Analisis
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0.39
13 2.02 1.43 3.35 2.9 6.814 2.29 2.58 0 5.9 0.015 1.11 5.97 3.35 6.6 3.716 1.85 7.90 0 14.6 0.017 1.11 9.83 3.35 10.9 3.718 1.74 13.63 6.7 23.7 11.619 2.02 14.38 3.35 29.1 6.820 2.29 13.23 0 30.3 0.0
P 43.32 7.90 3.445 342.3 149.2E 1 2.71 7.90 4.445 21.4 12.1E 2 5.70 7.90 6.22 45.0 35.5E 3 1.14 7.90 7.4 9.0 8.4
99.69 787.5 375.3(,)= 7.90 3.76
S ca
ca a aa a caa.Paa caca c c a a a ca, ca c ca a c aac a
a c c.
MURO L H/L FAE AXE AE
N. 2 2
12 2.57 6.70 0.97 1.00 3855 2582913 2.99 3.35 0.84 1.00 4485 1502514 3.39 0.00 0.74 1.00 5085 015 1.64 3.35 1.52 0.76 1873 627316 2.74 0.00 0.91 1.00 4110 017 1.64 3.35 1.52 0.76 1873 627318 2.57 6.70 0.97 1.00 3855 2582919 2.99 3.35 0.84 1.00 4485 15025
20 3.39 0.00 0.74 1.00 5085 0
23.92 = = 34705 94253
= 2.72
MURO L X H/L FAE AE X AXEN. 2 2
1 6.84 0.00 0.37 1.00 10260 02 2.35 2.85 1.06 1.00 3525 100463 2.35 2.85 1.06 1.00 3525 100464 4.69 4.20 0.53 1.00 7035 29547
5 4.69 6.60 0.53 1.00 7035 464316 3.49 7.90 0.72 1.00 5235 413577 4.69 9.20 0.53 1.00 7035 647228 4.69 11.60 0.53 1.00 7035 816069 2.35 12.95 1.06 1.00 3525 45649
10 2.35 12.95 1.06 1.00 3525 4564911 6.84 15.80 0.37 1.00 10260 162108
45.33 = 67995 537161= 7.90
La cca a aa
= XCRXCM= 0.00 =0.10BX= 1.59 O
= CRCM 1.05 =0.10B= 0.80 NP
La cc ca b a aa a aca. L b c
, ba, acab c a bc aa ca ,a c.
Paa a a a ca
ca abc cc c a, a aa a ccc c ca
ac a a a a a NTCS.S c a caca a ca, cc c ba a Taba7.1 a NTCS. Ea aba a a ca ca c, c a aa
bac c a aa c. E : Za II, 7 13 aa c a aca b 0.9. S a a ca c ac
a ac a a c. 2.1 a NTCM.Dca cc abc a a
a a b , a , 75% a ba b, a , 20 . E
a aca, ca b a aa ba a aa cc a ca c. Ya c cc c
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A 0.40 . . G
c, a a b a a c c (NTCS c 8 cc c 5.8.4).
E ca a NTCS ca
baa c a ba a ca aa aaa a aba a
a ( ca ). La ba a a Taba 05, ca cc c c ab aaba MS.
Taba 05 R ba ac a ca a NTCS (c=0.19)
D
E 5.0 /2 X = 35880 2 = = 67995 2P ,I PB = 533 TE
= 14.8 /2F = 0.70E
= 0. + 0. . = 4.87 /2
C = 174.6 C = 330.9 F = 1.10C II, , 7 13 = 0.19C = 504C = = 105.38 TR
VR V VR / VT T
174.6 > 105.4 1.6 O
330.9 > 105.4 3.1 O
La ca aac ca aba cc. La ba b ac . A c a a aa ac, a aac a caaaa b c , , a
a c a a cab , aca a a.
A a a c baa MS a NTCS, c c ac a a. E a a a ba aca, a a ca, ca, ac a .
C ba ca aa a ac a a ca, a a c.
E c (ME) a NTCS, ca aa. Ca
a
Taba 06 Caac c ca a NTCS
M. Sca M Ec
75%
< 0.
La ca a ba .
S c6),E . c 11) , ,
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0.41
L 2.0
L 2.5.
L 1.5 13 ...
L 2.5. Ec 2.2... 30 , 20 . P I, 40 30 , .
L 7 10
MS ( NTCS 6.1)
E c a a
a aa a acac a ME ca aa. P a ME c ca a a aa a cac aaa c c.
E , ac a a NTCS
6, aa a ca a, cacac ME. E ccc b a Taba 3.1 a
NTCS, ca
II 0.32 .08 0.2 1.35
La a ca caa b c a ( c 5.8.4)
E a a ccc, caa , bc a caa a acc
a ac cc aa ca caca c ac ca c , aa a ca aa (c 5.8.5). S c c a c
aa , a .Ua b b c aa a ca. E ca ca aa aac, aa a ca a, a ac 0.8 aa c a (NTCS 6.4). L c
: c 1) (c 6.1 NTCS) a aca b cac a a; c 6) ca a aba a
b a a 20% a aa a a c
c a aba. E ac c a cb caa a a aba c a a a 20% ( 31%) a
aaa a Y a ca.
E ac cc a a ca a c = 0. = . , cc aca (NTCS 4.1). E cc
c c /=0.32/1.6=0.2, caa a a 0.19
c ca. S ba c a a a
a ca
, a a
aac c a aa.
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A 0.42 . . G
E c a cc c, a aa ca c acac b aba aa aa II, c a
aa a ca ( c 5.8.3.).Paa a c, a a NTCS a aac a aa a ca. La a NTCS aa a ac
aa
a a a ba a ca; aacac a aa, a a ca cacaa c
a. S a NTCS 8.2, a b caca aa ca c aa, ca ca a.
Paa caca aa bcaca a c , a c c ca caca c
= G ca a
aa, a a ca a cc a
a aa
. Aa
a a a ca a aa
a a c 0.1. L aaa caca c
= =
Y aca aa a b aa c a a ba.
P a a, cacaac a aa ca = , cc a a Taba 07Taba 07 Dac a ca ca (c=0.2)
CM+CV W* F VT T T T
5 88.6 12.5 1107.7 30.1 30.1
4 103.9 10.0 1039.0 28.3 58.4
3 103.9 7.5 779.3 21.2 79.6
2 103.9 5.0 519.5 14.1 93.8
1 103.9 2.5 259.8 7.1 100.8
504.2 3705.3
C a aba ca, c cc 0, a aa ca c aa caca aa. E a c a a, c = 00/c2 = ., a c aba cc
=
=00 70
0 = 9990 /c
= = 00 7990 = 9 /c E aba cc a
= 0. = 0. La aa ca a ca ca aa c
= 0.7 = 0.9La cc 15% cc X
(0.2/0.17=0.85) 5% Y(0.2/0.19=0.95) ( Fa 0.26)
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0.43
Fa 0.26 Ec c ca a a aa ca c a aa aba cc.
E cc aa a a a baa aa cc a a aa. E ca cacaa a aa ca cacaa a caa a
ca a a ca c ca a NTCM.C ca ca, a ca . Paa ca a a aba
Dcc X
50 0.7 5.7 M ATRI P A A V V V/V
N. 2 2 2 T T
12 2.1 9.7 3855 3855 10.5 8.8 0.84
13 4.8 22.4 4485 4485 12.2 12.5 1.03
14 4.4 20.9 5085 5085 13.8 13.3 0.96
15 5.0 23.5 2460 1873 5.1 8.6 1.69
16 5.4 25.3 4110 4110 11.2 12.5 1.12
17 5.0 23.5 2460 1873 5.1 8.6 1.69
18 2.1 9.7 3855 3855 10.5 8.8 0.84
19 4.8 22.4 4485 4485 12.2 12.5 1.0320 4.4 20.9 5085 5085 13.8 13.3 0.96
45.0 198.4 35880 34705 110.9 103.8
A a ca,c acab a ba.
Dcc Y
50 0.9 95.
M A P A AE V V V/VN. 2 T 2 2 K K
1 5.20 37.8 10260 10260 15.9 23.1 1.52 3.91 28.4 3525 3525 5.5 10.0 1.83 4.90 35.6 3525 3525 5.5 11.0 2.04 7.83 56.9 7035 7035 10.9 20.0 1.85 9.42 68.5 7035 7035 10.9 21.6 2.06 6.82 49.6 5235 5235 8.1 15.9 2.07 9.42 68.5 7035 7035 10.9 21.6 2.08 7.83 56.9 7035 7035 10.9 20.0 1.89 3.91 28.4 3525 3525 5.5 10.0 1.8
10 4.90 35.6 3525 3525 5.5 11.0 2.011 5.20 37.8 10260 10260 15.9 23.1 1.5
504.0 67995 67995 100.8 216.8
E a cc Y a ac c
aa, a abaca a ca cc.
5.10.4
E c, cca ba ca a cca ca ca a cca acca.E a a cc 5.9a cca a caca a c b a aa ca ac acac a a c FAT, aa a a . E c c c a aa a , a ccaca c cc caa cc a aaa a , b ca a cca acc
a a cacac a a ca .E a Taba 08 a ccaa a c
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A 0.44 . . G
. La a
Aa , aa aa
. = .9
= .
= 0.0 = 0.07 Ecca ca c ccca ca aaa
= 7.9 = .7 = 7.9 = .7 = 0.0 = .0 = 0.0 = 0. Ra aa a c0.30, (a aa a aa a Taba !
.).
= . / = 0.9 / = 7.7 / = .7 = .9 = 0.
5.11 2
C b aa a ca a cca ca
a ca aa ca a Fa 0.4. Paa , a
c 3 a aca aca c a aac ac C , ccca, acca a 0
0.2. C , cb a b RCDF aa 0.1 aa ca 0.2 cac aa c.E a Fa 0.27 a a aac a FA b a a a cca aaa aa
.
Fa 0.27 Vaac FAT aa a cca aaa.
Paa b ( a
ab a c a a aa C),
ba a FA 1.85 aa = 0.1 a aa 2.14 aa =0.17.
E a a FA 1.34 aa = 0 , a aaaa0.1, FA aa 1 a c abc a 5 D, FAca b a a. E ca c ca
, ; ca ca c, E ca baa a
aa a a ca a caa ca a a
aa a a ca aaca c 0.. S ba, ca a, a FAa a a aa a cca, a c cc a c
a a aba ccc aa ca c
.
5.12
C b a ac c aa baa aa aca
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0.45
c, a ca a ac a ba ca cc aa a ca aaa aa ab cc c a b ca a,
a ba a a cac, ba ac . Sa ca a c
ba cab ab c, ba c.,
a a ca aca ca ca a aaaa, aa c c c a ca ca, aca ca c
aa c aa a ca baa ca ca aa a
cc, ca a a ac cac aba a. E ca b a a c a a ca. S a a c, b ca a aa
ac c aa. P ca ca
b ac a a.
5.13
C V, W., & T, E. K. (1986).Eccc a b. C CE, 13(1), 4652.
Ca, A. K. (2007). D
, A E E.Pc Ha.
C, O. (2011). E 7 ,
.Pa Ia, UNAM.
D a La, J. C., & Ca, A. K. (1994).Acca b
ca. E D, 23, 117136.
Ecba, J. A., & Aaa, G. (1998). Y
c c ac c. EE D, 27,525541.
Gb, G. H., & Va La, C. F. (1996). C. Ba aL: T J H UP.
Hbb, R. C. (2011). A(8 E).Pc Ha.
KaJ Ba, E. L. (1976). F E A.
E C, N J: PcHa .
L, P., W, E. L., & C, R. W.(1986).
D E A,
. BC/EEC 8604.U Caa,, Eaa E
Rac C, B, Ca.
Pa, O. A., & G, R. (1988).Acca T c
c. 9 C E E, , . V85V90.
T, Ja.
Rb, E. (1951). A B A
D.P.D. , U I,Ubaa I11.
Taa, M. A. (2008).
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A 0.46 . . G
.Pa Ia a UNAM.
T, W. K. (1990). Sac ccc a a. ACE
E, 16, 11991212.
Fa 0.28 E 1, Paa ca c a ca. S ca a , ac cc a baa. Ea a b a a acaa aa aca, a ca aa a caa a a ca ab.
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A 0.47 .. G
Taba 08 Cc c , a aa baa a ca a Fa 0.28. La a c
caa , a c c
C D
CR
C C F
MURO
D
X/ V X V2/
V2/
V/
V/
=CR/
=CR/
N. / /
1 15.9 0.00 7.9 / 365.2 5.9 0.496
2 5.5 2.85 5.1 / 51.3 2.0 0.317
3 5.5 2.85 5.1 / 51.3 2.0 0.317
4 10.9 4.20 3.7 / 54.9 4.0 0.232
5 10.9 6.60 1.3 / 6.8 4.0 0.082
6 8.1 7.90 0.0 / 0.0 3.0 0.000
7 10.9 9.20 1.3 / 6.8 4.0 0.082 8 10.9 11.60 3.7 / 54.9 4.0 0.232
9 5.5 12.95 5.1 / 51.3 2.0 0.317
10 5.5 12.95 5.05 / 51.3 2.0 0.317
11 15.9 15.8 7.9 / 365.2 5.9 0.496
12 X 10.5 6.7 4.0 F 31.2 2.0 0.58
13 X 12.2 3.35 0.6 F 0.9 2.3 0.09
14 X 13.8 0 2.7 R 19.1 2.6 0.39
15 X 5.1 3.35 0.6 F 0.4 1.0 0.09
16 X 11.2 0 2.7 R 15.5 2.1 0.39
17 X 5.1 3.35 0.6 F 0.4 1.0 0.09
18 X 10.5 6.7 4.0 F 31.2 2.0 0.58
19 X 12.2 3.35 0.6 F 0.9 2.3 0.09
20 X 13.8 0 2.7 R 19.1 2.6 0.39
118.8 1059 17.71 38.78
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A 0.48 . . G
Fa 0.29 E 1, Mac c ca aca
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