Muro Pichanaki Sotano

8/17/2019 Muro Pichanaki Sotano

1/323

α

3.20

0.50 1.25 0.35 0.00 0.00 L= 5.00

0 80


2/323

0 80

terrenophi 24.00 Ny .4418!0!1"p# 6.10 N" 1 .3235402p.e. 1.8! N$ .6033 441" 0.20

rellenophi 24 $up.e. 1.8!" 0.2

de#pl%nte 1

e#tru"tur% M&'(

terrenophi 2 .00 Ny 1 .33! 6!"p# 6.4! N" 2!.8604651p.e. 1.!! N$ 16.443308" 0.13

rellenophi 2 $up.e. 1.!!" 0.13


3/323

#y 1 dy 1#" 1 d" 1.34 8348#$ 1 d$ 1.31340663

6.0 53265

#y 1 dy 1#" 1 d" 1.3133042!#$ 1 d$ 1.2 42506!

6.46801488


4/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

DISEÑO DE M !O CIC"OPEO M !O #$2.00 In%re&'r d'to& del Muro( )*ul

M !O DE CO+,E+CIO+ -!. 10 DE M) O

D'to& del Suelo de l' '&e( 0.40 = 2 .00 n ulo de ri""i n intern% del +uelo n ulo 'epo#o = %lud N%tur%l7 1 12 de 9 y m%yor % 35 "m

0.418 %n ulo en r%di%ne#7 0.1! α1.87 tn m3 Pe#o ,#pe"i . del +uelo

".p.#. = 6.10 "m2 /%p%"id. Port%nte del +uelo

/ = 0.20 tn m2 /ohe#i n "u%ndo tiene li %1.55

D'to& del !elleno( = 2 .0; n ulo de ri""i n de +uelo 0.450.418 0.23

0.00 *n"lin%"ion del t%lud +o t ene ,'lud 2.00 1 2) % 1)0.0000 +i e h? = 07 Punt% %lon

1.87 tn m3 Pe#o ,#pe"i . del 'elleno 0.30 0.20 0.30 0.25 0.35/ = 0.20 tn m2 /ohe#i n

0. 5

D'to& del Concreto( 0.33 0.!52.30 tn m3 Pe#o ,#pe"i . P%nt%ll% ) = 1 6 9 % 1 8 9 1. 02.30 tn m3 Pe#o ,#pe"i . /iment%"i n 0.25 0.80 @ = 2 5 9 % 2 3 9 1.33

?"= 1 0 "m2 'e#i#ten"i% del /on"reto!e&ult'do&(En l' Secc on (

A+V = 2.00 A%"tor +e urid%d Volteo /oe i"iente de ,mpuBe "tiCo D% =A+) = 1.50 A%"tor +e urid%d )e#liE%miento /oe i"iente de ,mpuBe P%#iCo Dp =

= 0.45 0.58 /oe i". de Ari""i n ,mpuBe "tiCo MF


5/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

0.53 +obre"%r % Vehi"ul%r h? = J P.e.relleno A%"to# de +e urid%d %l Volteo A+V = 5.4

D'to& de So rec'r%' Su er or( A%"to# de +e urid%d %l )e#liE%mientoA+) = 4.!2$ = 0.00 tn m2 Ver hoB%: +/ $ tnm27%? = 0.00 m. 5!.0000 1.1040 &bi"%"i n de l% 'e#ult%nte:

b? = 0.00 m. 0. 48 e= @ 2 K


6/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

D'to& de So rec'r%'( P%r% l% +e"". P%r% l% +e""

$ = 1.00 tn m2 ) )9t1 = 1.!0 m. P'r' l' &ecc on %n 1 = %r"t%n 1 h7 30.4! 38.669t2 = 1.25 m. P'r' l' &ecc on ) ) %n 2 = %r"t%n %? b?7 h7 0.00 0.00%? = 0.00 m. K30.4! K38.66b? = 0.00 m. P = $ 0 < 9 < %n 2 K %n 17 K0.58 tn m K0.54

Pro9und d'd de De& l'nte(C:lculo del Em u;e )ct o( 1.0000 1.00 m.

1.0000 45 Dp =0.8346 0.!854

/oe i"iente de ,mpuBe "tiCo P.e. !elleno >


7/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

@%#e ltur% P.e. @r%Eo de MomentoP1 0.30 1.55 2.30 1.00 1.0!0 0.35 0.3!4P2 0.20 1.55 2.30 0.50 0.35! 0.13 0.048 P%nt%ll%:

P3 0.25 1.25 2.30 0.50 0.35 0.58 0.210 1.55P5 0.25 1.25 1.87 0.50 0.2=2 0.67 0.1=5P! 0.25 0.00 1.8! 0.50 0.000 0.6! 0.000,C 0.000 0.!5 0.000

2.00 P $ 2.078 M $ 0.826 Punt%

0.30%7 Por Volteo K : SM ,h < dh 7 A+V = 4.13 T 2.00Con9orme

0. 5b7 Por )e#liE%miento K : Q SP < %n R , A+) = 2.82 T 1.50Con9orme

ri%n =0.5

@<


8/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

ES, DIO E+ ") SECCIO+ (

@r%Eo de MomentoVer 9 c'c ?n de E&t' l d'd(

@%#e ltur% P.e.P1 0.30 1.55 2.30 1.00 1.0!0 0.65 0.6 5P2 0.20 1.55 2.30 0.50 0.35! 0.43 0.154P3 0.25 1.25 2.30 0.50 0.35 0.88 0.31!P 1. 0 0. 5 2.30 1.00 1. = 0.70 1.01P5 0.25 1.25 1.8! 0.50 0.2 2 0. ! 0.282P6 0.35 1.25 1.8! 1.00 0.818 1.23 1.002P! 0.60 0.00 1.8! 0.50 0.000 1.20 0.000,C 0.000 1.40 0.000

P $ .3 5 M $ 3. 66

%7 Por Volteo @K@: FSV $ 5.4 T 2.00Con9ormeEl Momento de los Pesos debe ser mayor en 1.5 veces el Momento del Empuje Horizontal

b7 Por )e#liE%miento @K@:

FSD $ 2.46 T 1.50Con9orme4.!2 T 1.50 Con9orme Inclu e Pre& on '& '

La Fuera Resistente debe ser mayor en 1.25 veces el Empuje Horizontal

c'c ?n de l' !e&ult'nte( e veri!ica "ue la Resultante de la #ase est$ dentro del 1%& central de la cimentaci'n/entro de Ur%Ced%d de l% 'e#ult%nte *de%l

0.652 m.

/oe i"ien. Ai :'e"t%n=1ri%n =0.5

Pe#o#@< centr c d'd(Com ro 'c ?n ' und m ento

Para evitar la inclinaci'n del muro por asentamientos di!erenciales de la cimentaci'n( es deseable"ue la resultante de las presiones en el suelo act)en en el n)cleo central de la super!icie resistente*1%& central de la #ase+

Ar = AuerE% 'e#i#tent

SM = Momento# de l

/uid%do $ue o #e%Ne %tiCo

−−−


9/323


10/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

C:lculo de l' C' 'c d'd de C'r%' lt m' +c $ A%"tore# de /%p%"id%d de /%r %

D'to& del Suelo de l' '&e( n%re&'r +4 $0.42 2 .0 24.007 + $

Pe#o ,#pe"i i"o del +uelo: P.e.= 1.87 tn/m3 1.8!7 Sc $ 1 G A+4/+cB>A /"B A%"tore# de Aorm%0.0018! "m3 S4 $ 1 G At%HB>A /"B

S $1 0. >A /"BPro undid%d de )e#pl%nte: ) = 1.00 m. 1.007

100.00 "m. Fcd $1 G 0. >AD/ B A%"tore# de Pro undid%dF4d $

n"ho de H%p%t%: @?= 1.30 m. 1.307 F d $ 1.00130.50 "m.

0.21 ELon itud del Muro: L= 1.00 m. 11. !

Fc $ A%"tore# de *n"lin%"i n/ohe#ion: /= 0.20 tn/m2 .207 F4 $

0.020 "m2 F $0 Mod 9 c'r 0 ? 1 1

N" = 1 .32 +" = 1.65 A"d = 1.00 A"i = 0.75N$ = .60 +$ = 1.58 A$d = 1.00 A$i = 0.75Ny = .44 +y = 0. 8 Ayd = 1.00 Ayi = 0.25

c +c Fcd Fc G P.e. D9 +4 F4d F4 G 1/2 P.e. + F d F

2.!5 "m2 27.50 tn/m2 /%p%"id%d &ltim%

A+V = !.362 T 3.00 Con9ormeF.S.

2.03 "m2/%p%"id%d dmi#ible

C:lculo de )&ent'm ento&($# = 2.03 "m2

W Poi##on7 0.30 'el%"ion de Poi##on*J = 100.00 "m "m A%"tor de *n luen"i%@ = 1. 0m. n"ho de l% /iment%"ion

A+4 1B/t%AΦ B

eπ >t%AΦ B

> t%2

A 5GΦ /2B5 = A+4 G 1B> 2 > t%AΦ B

1 G 2>t%H>A1 &enHB2>AD/ B

J = 'rct'nAE'>co& /KPB

A1 J /=0B2A1 J /=0B2A1 J /HB2

4ult $4ult $

4ult /4 unt'

4 'dm $

,# uerEo r%n#mitidoKP / A >"B


11/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

,# = 1 000.00tn/m2 Modulo de ,l%#ti"id%d 1 L%/cm21/10 tn/m2100.00 "m2

)&ent'm ento $ 0.26 cm. 2.5 Con9orme # =

)+)"ISIS PO! SISMO,mp. erreno "on #in t%lud ,. VehiKPe%t ,mpuBe Muro +uperior

,% =,% = 0. 2dh 0.6

3.4!

0.!5 X %e=0.20

%7 Por Volteo @K@: FSV $ 2.13 T 1.25Con9orme

$# < @ < 1KW27 < *J ,#

@ > P.e. !elleno >


12/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

M !O

0.00

@orde = 0.301.70 1.25 Secc $ # G e orde $

Secc. Secc. )) Secc )) $ 'nt'll' G e orde $

,C ,% 1.70 1.25Secc. Secc. ))

,h

) ) OL

OL

0.421!2.3!12

0. 21 tn.0.6 m.

2.833 tn.

he = b1 < t α 7 = ltur% ,$uiC%lente por in"lin%"i n del terreno

hterreno"on he

hterreno#in he

Lo#Predimen#ion%miento#:

+on r%n o# de d%to# $ueno# %yud%n % determin%rl%# lon itude# tent%tiC%#

de lo# muro# "on lo#"u%le# #e ini"i%rF el di#eZo


13/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

T 2.00Con9ormeT 1.50Con9orme

0.65 m.

0.233Con9orme2.03Con9orme

)i% r%m%,r' e*o d'l



14/323


15/323


16/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

l' co e& on de l' '&e

e

,h = ,mpuBe9oriEont%l

# Pe#o#

Momento del ,mpuBe horiEont%l

N

,h

@%#e Muro

@ 2 @ 2

@ 3 @ 3 @ 3


17/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

dh o

e $E>centr c d'd


18/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

>co& $ 0.=2 . 27.3 4.347KP $


19/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


20/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (



D'to& del Suelo de l' '&e( 0.40 = 31.6 n ulo de ri""i n intern% del +uelo n ulo 'epo#o = %lud N%tur%l7 1 12 de 9 y m%yor % 35 "m

0.5515 %n ulo en r%di%ne#7 0.25 α1.67 tn m3 Pe#o ,#pe"i . del +uelo

".p.#. = 2.05 "m2 /%p%"id. Port%nte del +uelo/ = 0.00 tn m2 /ohe#i n "u%ndo tiene li %

2.50

D'to& del !elleno( = 31.6 ; n ulo de ri""i n de +uelo 0.500.5515 0.25


1.67 tn m3 Pe#o ,#pe"i . del 'elleno 0.20 0.00 0. 0 0.=0 0.30/ = 0.00 tn m2 /ohe#i n

0.50

D'to& del Concreto( 0.50 1.302.00 tn m3 Pe#o ,#pe"i . P%nt%ll% ) = 1 6 9 % 1 8 9 1.802. 0tn m3 Pe#o ,#pe"i . /iment%"i n 0.38 1.20 @ = 2 5 9 % 2 3 9 2.00


A+V = 1.50 A%"tor +e urid%d Volteo 1.507 /oe i"iente de ,mpuBe "tiCo D% =A+) = 1.25 A%"tor +e urid%d )e#liE%miento 1.257 /oe i"iente de ,mpuBe P%#iCo Dp =



21/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


D'to& de So rec'r%' Su er or( A%"to# de +e urid%d %l )e#liE%mientoA+) = 2.24$ = 0.00 tn m2 Ver hoB%: +/ $ tnm27

%? = 0.00 m. 60.8000 1.3 !2 &bi"%"i n de l% 'e#ult%nte:

b? = 0.00 m. 1.0612 e= @ 2 K


22/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

D'to& de So rec'r%'( P%r% l% +e"". P%r% l% +e""

$ = 0.00 tn m2 ) )9t1 = 2.50 m. P'r' l' &ecc on %n 1 = %r"t%n 1 h7 21.80 26.569t2 = 2.00 m. P'r' l' &ecc on ) ) %n 2 = %r"t%n %? b?7 h7 0.00 0.00%? = 0.00 m. K21.80 K26.56b? = 0.00 m. P = $ 0 < 9 < %n 2 K %n 17 0.00 tn m 0.00


1.0000 45 Dp =0.!254 0.!854



23/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

23

@%#e ltur% P.e. @r%Eo de MomentoP1 0.40 2.50 2.00 1.00 2.000 0.20 0.400P2 0.00 2.50 2.00 0.50 0.000 0.00 0.000 P%nt%ll%:P3 0. 0 2.00 2.00 0.50 1.800 0.!0 1.260 2.50P5 0.=0 2.00 1.67 0.50 1.503 1.00 1.503P! 0. 0 0.00 1.6! 0.50 0.000 1.00 0.000,C 0.000 1.30 0.000

3.00 P $ 5.303 M $ 3.163 Punt%


0.50b7 Por )e#liE%miento K : Q SP < %n R , A+) = 1.66 T 1.25Con9orme

ri%n =0.5

@<


24/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

24



@%#e ltur% P.e.P1 0.40 2.50 2.00 1.00 2.000 0.40 0.800P2 0.00 2.50 2.00 0.50 0.000 0.20 0.000P3 0. 0 2.00 2.00 0.50 1.800 0. 0 1.620P 1.80 0.50 2. 0 1.00 2.160 0.=0 1.=P5 0. 0 2.00 1.6! 0.50 1.503 1.20 1.804P6 0.30 2.00 1.6! 1.00 1.002 1.65 1.653P! 1.20 0.00 1.6! 0.50 0.000 1.40 0.000,C 0.000 1.80 0.000

P $ 8. 65 M $ 7.821



FSD $ 1.83 T 1.25Con9orme2.24 T 1.25Con9orme Inclu e Pre& on '& '



0.648 m.





SM = Momento# de lo


−−−


25/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

25

e=

0.252 0.300Con9orme

C:lculo de Pre& one&(8.66 tn m2

D '%r'm'0.!5 tn m2 ,r' e*o d'l

0.866 2.05Con9orme

@ 2 K


26/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

26

C:lculo de l' C' 'c d'd de C'r%' lt m' +c $ A%"tore# de /%p%"id%d de /%r %D'to& del Suelo de l' '&e( n%re&'r +4 $

0.55 31.6 31.607 + $


S $1 0. >A /"BPro undid%d de )e#pl%nte: ) = 0.80 m. .807


n"ho de H%p%t%: @?= 1.30 m. 1.307 F d $ 1.0012 .53 "m.

0.28 E

Lon itud del Muro: L= 1.00 m. 15. 0Fc $ A%"tore# de *n"lin%"i n/ohe#ion: /= 0.00 tn/m2 .007 F4 $

0.000 "m2 F $0 Mod 9 c'r 0 ? 1 1

N" = 34.33 +" = 1.83 A"d = 1.00 A"i = 0.68N$ = 22.12 +$ = 1.80 A$d = 1.00 A$i = 0.68Ny = 28.45 +y = 0. 8 Ayd = 1.00 Ayi = 0.25


3. ! "m2 3=.71 tn/m2 /%p%"id%d &ltim%

A+V = 4.586 T 3.00 Con9ormeF.S.


C:lculo de )&ent'm ento&($# = 1. "m2 4.!07

W Poi##on7 0.30 'el%"ion de Poi##on*J = 100.00 "m "m A%"tor de *n luen"i%@ = 1.67 m. 1.307 n"ho de l% /iment%"ion

A+4 1B/t%AΦ Be π >t%AΦ B > t%2A 5GΦ /2B

5 = A+4 G 1B> 2 > t%AΦ B



A1 J /=0B2A1 J /=0B2A1 J /HB2

4ult $4ult $

4ult /4 unt'

4 'dm $



27/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

2!




,% =,% = 2.41dh 0. !

!.82

1.50 X %e=0.20


$# < @ < 1KW27 < *J ,#

@ > P.e. !elleno >


28/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

28

0.00

@orde = 0.502.50 2.00 Secc $ # G e orde $


,C ,% 2.50 2.00Secc. Secc. ))

,h

) ) OL

OL

0.31233.2016 3.50

2.411 tn.0. ! m.

1.!11 tn.


hterreno"on he

hterreno#in he





29/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

2


0.65 m.


)i% r%m%,r' e*o d'l



30/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

30

.

,mpuBe P%#iCo

ASe ut l *'n d'to& de l' '&eB

l' Secc on ) )(

,% =1.04 < Pe 'elleno


31/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

31

%lon0.00 0. 0 0.=0 0.30

1.301.80

6

5

3

1

2


32/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

32

33!.00



# Pe#o#


N

,h

@%#e Muro

@ 2 @ 2

@ 3 @ 3 @ 3


33/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

33

dh o

e $E>centr c d'd


34/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

34

>co& $ 2. 1 2.417

8. 7 8.4!7KP $


35/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

35


36/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

P +,O P +,O

0.00 0.00 1 1@ 0.00 0.50 2 0/ 0.20 0.50) 0.20 2.50)1 0.20 3.00,1 0.60 3.00, 0.60 2.50A 1.50 0.50U 1.80 0.509 1.80 0.00* 0.00 0.00

%re% tot%l 2.80 m2"imiento# 0. 0 m2p%nt%ll% 1. 0 m2

ronti# 2.50 mpo#ter 2.1 m"oron% 0. 0 m

tot%l #ello %# 5.5 m

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

MURO

RASANTE


37/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


38/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

Pro9und d'd de l' r et' de ,en& ?n(

2" 0.00 m.

Em u;e )ct o de& ue& de l' ocurrenc ' de l' %r et' de ten& ?n(

E' $

,% = 2. 1 tn. p%r% #e""i n @ K @

,% = 1.67 tn. p%r% #e""i n K

Em u;e )ct o con el c:lculo de


39/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


40/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


41/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


42/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


43/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


44/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

2.502.50


45/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


46/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


47/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


48/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


49/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


50/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


51/323

)*+, ( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


52/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323







D'to& del !elleno( = 31.6 ; n ulo de ri""i n de +uelo 0.!0

0.5515 0.350.00 *n"lin%"ion del t%lud +o t ene ,'lud 3.30 1 2) % 1)

0.0000 +i e h? = 07 Punt% %lon1.67 tn m3 Pe#o ,#pe"i . del 'elleno 0.20 0.00 0. 0 0.=5 0.30

/ = 0.00 tn m2 /ohe#i n0.70

D'to& del Concreto( 0.55 1.352.00 tn m3 Pe#o ,#pe"i . P%nt%ll% ) = 1 6 9 % 1 8 9 1.85

2. 0tn m3 Pe#o ,#pe"i . /iment%"i n 0.41 1.32 @ = 2 5 9 % 2 3 9 2.20?"= 1 0 "m2 'e#i#ten"i% del /on"reto!e&ult'do&(En l' Secc on (




53/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

0.60 +obre"%r % Vehi"ul%r h? = J P.e.relleno A%"to# de +e urid%d %l Volteo A+V = 2.

D'to& de So rec'r%' Su er or( A%"to# de +e urid%d %l )e#liE%mientoA+) = 2.06$ = 0.00 tn m2 Ver hoB%: +/ $ tnm27%? = 0.00 m. 60.8000 1.564 &bi"%"i n de l% 'e#ult%nte:

b? = 0.00 m. 1.0612 e= @ 2 K


54/323


55/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

@%#e ltur% P.e. @r%Eo de MomentoP1 0.40 2.60 2.00 1.00 2.080 0.20 0.416P2 0.00 2.60 2.00 0.50 0.000 0.00 0.000 P%nt%ll%:P3 0. 5 2.10 2.00 0.50 1. 5 0.!2 1.430 2.60

P5 0.=5 2.10 1.67 0.50 1.666 1.03 1.721P! 0. 5 0.00 1.6! 0.50 0.000 1.03 0.000,C 0.000 1.35 0.000

3.30 P $ 5.7 1 M $ 3.567 Punt%



ri%n =0.5

@<


56/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


@r%Eo de MomentoVer 9 c'c ?n de E&t' l d'd(@%#e ltur% P.e.P1 0.40 2.60 2.00 1.00 2.080 0.40 0.832P2 0.00 2.60 2.00 0.50 0.000 0.20 0.000P3 0. 5 2.10 2.00 0.50 1. 5 0. 2 1.82P 1.85 0.70 2. 0 1.00 3.108 0.=3 2.875P5 0. 5 2.10 1.6! 0.50 1.666 1.23 2.055P6 0.30 2.10 1.6! 1.00 1.052 1.!0 1.!8P! 1.25 0.00 1.6! 0.50 0.000 1.43 0.000,C 0.000 1.85 0.000

P $ =.=01 M $ =.37=

%7 Por Volteo @K@: FSV $ 2. T 1.50Con9ormeEl Momento de los Pesos debe ser mayor en 1.5 veces el Momento del Empuje Horizontal


FSD $ 1.!! T 1.25 Con9orme2.06 T 1.25Con9orme Inclu e Pre& on '& '



0.630 m.

/oe i"ien. Ai :'e"t%n=1ri%n =0.5 Pe#o#@< centr c d'd(Com ro 'c ?n ' und m ento



SM = Momento# de lo


−−−


57/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

e=

0.2 5 0.308Con9orme

C:lculo de Pre& one&(10.4!tn m2

D '%r'm'0.24 tn m2 ,r' e*o d'l

1.04! 2.05 Con9orme

@ 2 K


58/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


0.55 31.6 31.607 + $




n"ho de H%p%t%: @?= 1.26 m. 1.267 F d $ 1.00126.06 "m.

0.2 ELon itud del Muro: L= 1.00 m. 16.43


0.000 "m2 F $0 Mod 9 c'r 0 ? 1 1

N" = 34.33 +" = 1.81 A"d = 1.00 A"i = 0.67N$ = 22.12 +$ = 1.78 A$d = 1.00 A$i = 0.67Ny = 28.45 +y = 0.50 Ayd = 1.00 Ayi = 0.23


3.86 "m2 38.60 tn/m2 /%p%"id%d &ltim%

A+V = 3.688 T 3.00 Con9ormeF.S.

1.2= "m2/%p%"id%d dmi#ible

C:lculo de )&ent'm ento&($# = 1. "m2 5.357



5 = A+4 G 1B> 2 > t%AΦ B



A1 J /=0B2A1 J /=0B2A1 J /HB2

4ult $4ult $

4ult /4 unt'

4 'dm $



59/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323




,% =,% = 2. 2dh 1.0!

.38

1.82 X %e=0.20


$# < @ < 1KW27 < *J ,#

@ > P.e. !elleno >


60/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

0.00

@orde = 0.502.80 2.10 Secc $ # G e orde $


,C ,% 2.80 2.10Secc. Secc. ))

,h

) ) OL

OL

0.31233.2016 3.50

2. 1 tn.1.0! m.

1.!11 tn.


hterreno"on he

hterreno

#in he





61/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


0.63 m.


)i% r%m%,r' e*o d'l



62/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

.

,mpuBe P%#iCoASe ut l *'n d'to& de l' '&eB

l' Secc on ) )(

,% =1.15 < Pe 'elleno


63/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

%lon0.00 0. 0 0.=5 0.30

1.351.85

6

5

3

1

2


64/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323



# Pe#o#


N

,h

@%#e Muro

@ 2 @ 2

@ 3 @ 3 @ 3


65/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

dh o

e $E>centr c d'd


66/323


67/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


68/323


69/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


70/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

Pro9und d'd de l' r et' de ,en& ?n(2" 0.00 m.

Em u;e )ct o de& ue& de l' ocurrenc ' de l' %r et ' de ten& ?n(

E' $,% = 2.=2 tn. p%r% #e""i n @ K @

,% = 1.81 tn. p%r% #e""i n K

Em u;e )ct o con el c:lculo de # > A'n%2 'n%1B

γHK ' 2cQ


71/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


72/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

33!.00


73/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


74/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


75/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


76/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

2.802.80


77/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


78/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


79/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


80/323


81/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


82/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


83/323

)*+,-( ,+ '&/ &' L ), M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


84/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323







D'to& del !elleno(

= 31.6 ; n ulo de ri""i n de +uelo 0.800.5515 0.40


1.67 tn m3 Pe#o ,#pe"i . del 'elleno 0.20 0.00 0. 0 1.10 0.30/ = 0.00 tn m2 /ohe#i n

0.80






85/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

0.60 +obre"%r % Vehi"ul%r h? = J P.e.relleno A%"to# de +e urid%d %l Volteo A+V = 2. 6

D'to& de So rec'r%' Su er or( A%"to# de +e urid%d %l )e#liE%mientoA+) = 1. 8$ = 0.00 tn m2 Ver hoB%: +/ $ tnm27%? = 0.00 m. 60.8000 1.!325 &bi"%"i n de l% 'e#ult%nte:

b? = 0.00 m. 1.0612 e= @ 2 K


86/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

D'to& de So rec'r%'( P%r% l% +e"". P%r% l% +e""$ = 0.00 tn m2 ) )

9t1 = 3.10 m. P'r' l' &ecc on %n 1 = %r"t%n 1 h7 1!.88 23.509t2 = 2.30 m. P'r' l' &ecc on ) ) %n 2 = %r"t%n %? b?7 h7 0.00 0.00%? = 0.00 m. K1!.88 K23.50b? = 0.00 m. P = $ 0 < 9 < %n 2 K %n 17 0.00 tn m 0.00


1.0000 45 Dp =0.!254 0.!854



87/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

@%#e ltur% P.e. @r%Eo de MomentoP1 0.40 2.80 2.00 1.00 2.240 0.20 0.448P2 0.00 2.80 2.00 0.50 0.000 0.00 0.000 P%nt%ll%:P3 1.10 2.30 2.00 0.50 2.530 0.!! 1. 40 2.80P5 1.10 2.30 1.67 0.50 2.113 1.13 2.3=P! 1.10 0.00 1.6! 0.50 0.000 1.13 0.000,C 0.000 1.50 0.000

3.60 P $ 6.883 M $ .782 Punt%


0.80b7 Por )e#liE%miento K : Q SP < %n R , A+) = 1.!1 T 1.25Con9orme

ri%n =0.5

@<


88/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323



@%#e ltur% P.e.P1 0.40 2.80 2.00 1.00 2.240 0.40 0.8 6P2 0.00 2.80 2.00 0.50 0.000 0.20 0.000P3 1.10 2.30 2.00 0.50 2.530 0. ! 2.446P 2.00 0.80 2. 0 1.00 3.8 0 1.00 3.8 0P5 1.10 2.30 1.6! 0.50 2.113 1.33 2.81!P6 0.30 2.30 1.6! 1.00 1.152 1.85 2.132P! 1.40 0.00 1.6! 0.50 0.000 1.53 0.000,C 0.000 2.00 0.000

P $ 11.875 M $ 12.130

%7 Por Volteo @K@: FSV $ 2. 6 T 1.50Con9ormeEl Momento de los Pesos debe ser mayor en 1.5 veces el Momento del Empuje Horizontal


FSD $ 1.!8 T 1.25 Con9orme1. 8 T 1.25Con9orme Inclu e Pre& on '& '



0.6!6 m.





SM = Momento# de lo


−−−


89/323


90/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


0.55 31.6 31.607 + $




n"ho de H%p%t%: @?= 1.35 m. 1.357 F d $ 1.00135.2 "m.

0.28 ELon itud del Muro: L= 1.00 m. 16.31


0.000 "m2 F $0 Mod 9 c'r 0 ? 1 1

N" = 34.33 +" = 1.87 A"d = 1.00 A"i = 0.67N$ = 22.12 +$ = 1.83 A$d = 1.00 A$i = 0.67Ny = 28.45 +y = 0. 6 Ayd = 1.00 Ayi = 0.23


3. ! "m2 3=.72 tn/m2 /%p%"id%d &ltim%

A+V = 3.3 5 T 3.00 Con9ormeF.S.


C:lculo de )&ent'm ento&($# = 1. "m2 5. 47



5 = A+4 G 1B> 2 > t%AΦ B



A1 J /=0B2A1 J /=0B2A1 J /HB2

4ult $4ult $

4ult /4 unt'

4 'dm $



91/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323




,% =,% = 3.4!dh 1.18

12.13

2.16 X %e=0.20


$# < @ < 1KW27 < *J ,#

@ > P.e. !elleno >


92/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

0.00

@orde = 0.503.10 2.30 Secc $ # G e orde $


,C ,% 3.10 2.30

Secc. Secc. )),h

) ) OL

OL

0.31233.2016 3.50

3.4!5 tn.1.18 m.

1.!11 tn.


hterreno"on he

hterreno#in he





93/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


0.68 m.


)i% r%m%,r' e*o d'l



94/323


95/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

%lon0.00 0. 0 1.10 0.30

1.502.00

6

5

3

1

2


96/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323



# Pe#o#


N

,h

@%#e Muro

@ 2 @ 2

@ 3 @ 3 @ 3


97/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

dh o

e $E>centr c d'd


98/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

>co& $ 3. 7 3.4!711.87 11.8!7KP $


99/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


100/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

P +,O P +,O

0.00 0.00 1 2.00@ 0.00 0.80 2 0.60/ 0.20 0.80) 0.20 3.10)1 0.20 3.60,1 0.60 3.60, 0.60 3.10A 1.!0 0.80U 2.00 0.809 2.00 0.00* 0.00 0.00

%re% tot%l 3. m2"imiento# 1.60 m2p%nt%ll% 2.3 m2


tot%l #ello %# 6.25 m

0.00 0.50 1.00 1.50 2.00 2.50

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

MURO

RASANTE


101/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


102/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

Pro9und d'd de l' r et' de ,en& ?n(2" 0.00 m.


E' $,% = 3. 7 tn. p%r% #e""i n @ K @

,% = 2.10 tn. p%r% #e""i n K



103/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


104/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

33!.00


105/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


106/323


107/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


108/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

3.103.10


109/323


110/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323


111/323

( ) ( ( ( (


112/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

M&'( ) /(N N/* N ( ( N*M* N (


113/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

M&'( ) /(N N/* N ( ( N*M* N (


114/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

M&'(+ ) /(N N/* N ( +(+ N*M* N (


115/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

323

M&'(+ ) /(N N/* N ( +(+ N*M* N (

=


116/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

116

M !O DE CO+,E+CIO+ M !O #$3.80 In%re&'r d'to& del Muro( )*ul






D'to& del !elleno( = 25.0 ; n ulo de ri""i n de +uelo 0.80

0.4363 0.400.00 *n"lin%"ion del t%lud +o t ene ,'lud 3.80 1 2) % 1)

0.0000 +i e h? = 07 Punt% %lon1.67 tn m3 Pe#o ,#pe"i . del 'elleno 0.20 0.00 0. 0 0.80 0.30

/ = 2.00 tn m2 /ohe#i n0.80


?"= 1 0 "m2 'e#i#ten"i% del /on"reto !e&ult'do&(En l' Secc on (




117/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

11!


D'to& de So rec'r%' Su er or( A%"to# de +e urid%d %l )e#liE%mientoA+) = 4.4!$ = 0.00 tn m2 Ver hoB%: +/ $ tnm27%? = 0.00 m. 5!.5000 2.1023 &bi"%"i n de l% 'e#ult%nte:

b? = 0.00 m. 1.0036 e= @ 2 K


118/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

118


9t1 = 3.30 m. P'r' l' &ecc on %n 1 = %r"t%n 1 h7 16.86 21.809t2 = 2.50 m. P'r' l' &ecc on ) ) %n 2 = %r"t%n %? b?7 h7 0.00 0.00%? = 0.00 m. K16.86 K21.80b? = 0.00 m. P = $ 0 < 9 < %n 2 K %n 17 0.00 tn m 0.00


1.0000 45 Dp =0.8214 0.!854



119/323

M&'(+ ) /(N N/* N ( +(+ N*M* N (− −


120/323

M& (+ ), /(N ,N/* N ( +(+ ,N*M*,N (

120


@r%Eo de Momento

Ver 9 c'c ?n de E&t' l d'd(

@%#e ltur% P.e.P1 0.40 3.00 2.00 1.00 2.400 0.40 0. 60P2 0.00 3.00 2.00 0.50 0.000 0.20 0.000P3 0.80 2.50 2.00 0.50 2.000 0.8! 1.!33P 1.70 0.80 2. 0 1.00 3.26 0.85 2.77P5 0.80 2.50 1.6! 0.50 1.6!0 1.13 1.8 3P6 0.30 2.50 1.6! 1.00 1.253 1.55 1. 41P! 1.10 0.00 1.6! 0.50 0.000 1.33 0.000,C 0.000 1.!0 0.000

P $ 10.587 M $ =.302



FSD $ 3. 2 T 1.25Con9orme4.4! T 1.25 Con9orme Inclu e Pre& on '& '



0.!12 m.

/oe i"ien. Ai :'e"t%n=1

ri%n =0.5

Pe#o#

@< centr c d'd(Com ro 'c ?n ' und m ento



SM = Momento# de lo


−−−


121/323

M&'(+ ) /(N N/* N ( +(+ N*M* N (


122/323

M& (+ ), /(N ,N/ N ( +(+ ,N M ,N (

122


0.55 31.6 31.67 + $




n"ho de H%p%t%: @?= 1. 2m. 1.427 F d $ 1.00142.45 "m.

0.31 ELon itud del Muro: L= 1.00 m. 1!.83

Fc $ A%"tore# de *n"lin%"i n/ohe#ion: /= 0.00 tn/m2 .007 F4 $0.000 "m2 F $

0 Mod 9 c'r 0 ? 1 1N" = 34.33 +" = 1.=2 A"d = 1.00 A"i = 0.6N$ = 22.12 +$ = 1.88 A$d = 1.00 A$i = 0.6Ny = 28.45 +y = 0. 3 Ayd = 1.00 Ayi = 0.1=


3.85 "m2 38. = tn/m2 /%p%"id%d &ltim%

A+V = 4.15 T 3.00 Con9ormeF.S.





5 = A+4 G 1B> 2 > t%AΦ B



A1 J /=0B2

A1 J /=0B2A1 J /HB2

4ult $4ult $

4ult /4 unt'

4 'dm $


M&'(+ ) /(N N/* N ( +(+ N*M* N (


123/323

M& (+ ), /(N ,N/ N ( +(+ ,N M ,N (

123




,% =,% = 1.41dh 1.25

.30

2.41 X %e=0.20

%7 Por Volteo @K@: FSV $ 1.18 T 1.20!ed &eR'r or Volt

$# < @ < 1KW27 < *J ,#

@ > P.e. !elleno >


124/323

M& (+ ), /(N ,N/ N ( +(+ ,N M ,N (

124

0.00

@orde = 0.503.30 2.50 Secc $ # G e orde $


,C ,% 3.30 2.50Secc. Secc. ))

,h

) ) OL

OL

0.4053.2016 3.50

1.411 tn.1.25 m.

1.!11 tn.


hterreno"on he

hterreno#in he




M&'(+ ) /(N N/* N ( +(+ N*M* N (


125/323

M& (+ ), /(N ,N/ N ( +(+ ,N M ,N (

125


0.!1 m.


)i% r%m%,r' e*o d'l


M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


126/323

M& ( ), /(N ,N/ N ( ( ,N M ,N (

126

.


l' Secc on ) )(

,% =2.12 < Pe 'elleno


127/323

M& ( ), /(N ,N/ N ( ( ,N M ,N (

12!

%lon0.00 0. 0 0.80 0.30

1.201.70

6

5

3

1

2

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


128/323

M& ( ), /(N ,N/ N ( ( ,N M ,N (

128



# Pe#o#


N

,h

@%#e Muro

@ 2 @ 2

@ 3 @ 3 @ 3

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


129/323

( ), ( , ( ( , , (

12

dh o

e $E>centr c d'd

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


130/323

( ), ( , ( ( , , (

130

>co& $ 3.=6 1.41712.31 10.5 7KP $

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


131/323

( ), ( , ( ( , , (

131

o


132/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


133/323

( ) ( ( ( (

133


134/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

Pro9und d'd de l' r et' de ,en& ?n(2" 3.!6 m.


E' $,% = 1. 1 tn. p%r% #e""i n @ K @

,% = 1.55 tn. p%r% #e""i n K



135/323

135

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


136/323

136

33!.00

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


137/323

13!

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


138/323

138

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


139/323

13

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


140/323

140

3.303.30

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


141/323

141

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


142/323

142

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


143/323

143

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


144/323

144

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


145/323

145

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


146/323

146

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


147/323

14!

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

=


148/323

148

M !O DE CO+,E+CIO+ M !O #$ .00 In%re&'r d'to& del Muro( )*ul







0.4363 0.400.00 *n"lin%"ion del t%lud +o t ene ,'lud .00 1 2) % 1)

0.0000 +i e h? = 07 Punt% %lon1.67 tn m3 Pe#o ,#pe"i . del 'elleno 0.20 0.00 0. 0 0.80 0. 0

/ = 2.00 tn m2 /ohe#i n0.80

D'to& del Concreto( 0.6! 1.202.00 tn m3 Pe#o ,#pe"i . P%nt%ll% ) = 1 6 9 % 1 8 9 1.802. 0tn m3 Pe#o ,#pe"i . /iment%"i n 0.50 1.60 @ = 2 5 9 % 2 3 9 2.6!





149/323

14

0.60 +obre"%r % Vehi"ul%r h? = J P.e.relleno A%"to# de +e urid%d %l Volteo A+V = 5.!5

D'to& de So rec'r%' Su er or( A%"to# de +e urid%d %l )e#liE%mientoA+) = 4.!3$ = 0.00 tn m2 Ver hoB%: +/ $ tnm27%? = 0.00 m. 5!.5000 2.22 ! &bi"%"i n de l% 'e#ult%nte:

b? = 0.00 m. 1.0036 e= @ 2 K


150/323

150


9t1 = 3.50 m. P'r' l' &ecc on %n 1 = %r"t%n 1 h7 15. 5 20.32

9t2 = 2.!0 m. P'r' l' &ecc on ) ) %n 2 = %r"t%n %? b?7 h7 0.00 0.00%? = 0.00 m. K15. 5 K20.32b? = 0.00 m. P = $ 0 < 9 < %n 2 K %n 17 0.00 tn m 0.00


1.0000 45 Dp =0.8214 0.!854



151/323

151

@%#e ltur% P.e. @r%Eo de MomentoP1 0.40 3.20 2.00 1.00 2.560 0.20 0.512P2 0.00 3.20 2.00 0.50 0.000 0.00 0.000 P%nt%ll%:P3 0.80 2.!0 2.00 0.50 2.160 0.6! 1.440 3.20P5 0.80 2.70 1.67 0.50 1.80 0.=3 1.683

P! 0.80 0.00 1.6! 0.50 0.000 0. 3 0.000,C 0.000 1.20 0.000.00

P $ 6.52 M $ 3.635 Punt%0.20

%7 Por Volteo K : SM ,h < dh 7 A+V = 2.3! T 1.50Con9orme0.80

b7 Por )e#liE%miento K : Q SP < %n R , A+) = 2.31 T 1.25Con9orme

ri%n =0.5

@<


152/323

152



@%#e ltur% P.e.P1 0.40 3.20 2.00 1.00 2.560 0.40 1.024P2 0.00 3.20 2.00 0.50 0.000 0.20 0.000P3 0.80 2.!0 2.00 0.50 2.160 0.8! 1.8!2P 1.80 0.80 2. 0 1.00 3. 56 0.=0 3.110P5 0.80 2.!0 1.6! 0.50 1.804 1.13 2.044P6 0.40 2.!0 1.6! 1.00 1.804 1.60 2.886P! 1.20 0.00 1.6! 0.50 0.000 1.40 0.000,C 0.000 1.80 0.000

P $ 11.783 M $ 10.=36

%7 Por Volteo @K@: FSV $ 5.!5 T 1.50 Con9ormeEl Momento de los Pesos debe ser mayor en 1.5 veces el Momento del Empuje Horizontal


FSD $ 4.26 T 1.25Con9orme4.!3 T 1.25 Con9orme Inclu e Pre& on '& '



0.!6! m.





SM = Momento# de lo

/uid%do $ue o #e%Ne %tiCo−

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


153/323

153

e=

0.133 0.300Con9orme

C:lculo de Pre& one&(.45 tn m2

D '%r'm'3.64 tn m2 ,r' e*o d'l

0. 45 2.05Con9orme

@ 2 K


154/323

154


0.55 31.6 31.67 + $




n"ho de H%p%t%: @?= 1.53 m. 1.537 F d $ 1.00153.35 "m.

0.12 ELon itud del Muro: L= 1.00 m. 6. 8


0.000 "m2 F $0 Mod 9 c'r 0 ? 1 1

N" = 34.33 +" = 1.== A"d = 1.00 A"i = 0.85N$ = 22.12 +$ = 1.= A$d = 1.00 A$i = 0.85Ny = 28.45 +y = 0.3= Ayd = 1.00 Ayi = 0.61


5.!4 "m2 57. 0 tn/m2 /%p%"id%d &ltim%

A+V = 6.0!2 T 3.00 Con9ormeF.S.

1.=1 "m2/%p%"id%d dmi#ible




5 = A+4 G 1B> 2 > t%AΦ B



A1 J /=0B2

A1 J /=0B2A1 J /HB2

4ult $4ult $

4ult /4 unt'

4 'dm $


M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


155/323

155




,% =,% = 1.44dh 1.32

10. 4

2.6! X %e=0.20


$# < @ < 1KW27 < *J ,#

@ > P.e. !elleno >


156/323

156

0.00

@orde = 0.503.50 2.70 Secc $ # G e orde $


,C ,% 3.50 2.70Secc. Secc. ))

,h

) ) OL

OL

0.4053.2016 3.50

1.443 tn.1.32 m.

1.!11 tn.


hterreno"on he

hterreno#in he




M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


157/323

15!


0.!! m.


)i% r%m%,r' e*o d'l



158/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


159/323

15

%lon0.00 0. 0 0.80 0. 0

1.201.80

6

5

3

1

2

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


160/323

160



# Pe#o#


N

,h

@%#e Muro

@ 2 @ 2

@ 3 @ 3 @ 3

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


161/323

161

dh o

e $E>centr c d'd

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


162/323

162

>co& $ 1. 1.44711.78 11.!87KP $

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


163/323

163

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


164/323

P +,O P +,O

0.00 0.00 1 1.80@ 0.00 0.80 2 0.60/ 0.20 0.80) 0.20 3.50)1 0.20 4.00,1 0.60 4.00, 0.60 3.50A 1.40 0.80

U 1.80 0.809 1.80 0.00* 0.00 0.00

%re% tot%l 3.80 m2"imiento# 1.44 m2p%nt%ll% 2.36 m2


tot%l #ello %# 6. 2 m

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

MURO

RASANTE


165/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


166/323

M& ( ), /(N ,N/ N ( ( ,N M ,N (


2" 3.!6 m.


E' $,% = 1. tn. p%r% #e""i n @ K @

,% = 1. 8 tn. p%r% #e""i n K



167/323

16!

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


168/323

168

33!.00

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


169/323

16

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


170/323

1!0

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


171/323

1!1

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


172/323

1!2

3.503.50

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


173/323

1!3

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


174/323

1!4

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


175/323

1!5

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


176/323

1!6

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


177/323

1!!

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


178/323

1!8

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


179/323

1!

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (M !O DE CO+,E+CIO+ M !O #$ .30 In%re&'r d'to& del Muro( )*ul

b1

=


180/323

180








0.0000 +i e h? = 07 Punt% %lon1.67 tn m3 Pe#o ,#pe"i . del 'elleno 0.20 0.00 0. 0 1.00 0. 0

/ = 2.00 tn m2 /ohe#i n0.80

D'to& del Concreto( 0.!2 1.402.00 tn m3 Pe#o ,#pe"i . P%nt%ll% ) = 1 6 9 % 1 8 9 2.002. 0tn m3 Pe#o ,#pe"i . /iment%"i n 0.54 1.!2 @ = 2 5 9 % 2 3 9 2.8!

?"= 1 0 "m2 'e#i#ten"i% del /on"reto

!e&ult'do&(En l' Secc on (




181/323

181


D'to& de So rec'r%' Su er or( A%"to# de +e urid%d %l )e#liE%mientoA+) = 5.10$ = 0.00 tn m2 Ver hoB%: +/ $ tnm27%? = 0.00 m. 5!.5000 2.420 &bi"%"i n de l% 'e#ult%nte:

b? = 0.00 m. 1.0036 e= @ 2 K


182/323

182

D to& de So rec r% ( P%r% l% +e . P%r% l% +e$ = 0.00 tn m2 ) )

9t1 = 3.80 m. P'r' l' &ecc on %n 1 = %r"t%n 1 h7 14.!4 18.439t2 = 3.00 m. P'r' l' &ecc on ) ) %n 2 = %r"t%n %? b?7 h7 0.00 0.00%? = 0.00 m. K14.!4 K18.43b? = 0.00 m. P = $ 0 < 9 < %n 2 K %n 17 0.00 tn m 0.00


1.0000 45 Dp =0.8214 0.!854



183/323

183

@%#e ltur% P.e. @r%Eo de MomentoP1 0.40 3.50 2.00 1.00 2.800 0.20 0.560P2 0.00 3.50 2.00 0.50 0.000 0.00 0.000 P%nt%ll%:P3 1.00 3.00 2.00 0.50 3.000 0.!3 2.200 3.50P5 1.00 3.00 1.67 0.50 2.505 1.07 2.672P! 1.00 0.00 1.6! 0.50 0.000 1.0! 0.000,C 0.000 1.40 0.000

.30 P $ 8.305 M $ 5. 32 Punt%


0.80b7 Por )e#liE%miento K : Q SP < %n R , A+) = 3.0! T 1.25Con9orme

ri%n =0.5

@<


184/323

184


@%#e ltur% P.e.

P1 0.40 3.50 2.00 1.00 2.800 0.40 1.120P2 0.00 3.50 2.00 0.50 0.000 0.20 0.000P3 1.00 3.00 2.00 0.50 3.000 0. 3 2.800P 2.00 0.80 2. 0 1.00 3.8 0 1.00 3.8 0P5 1.00 3.00 1.6! 0.50 2.505 1.2! 3.1!3P6 0.40 3.00 1.6! 1.00 2.004 1.80 3.60!P! 1.40 0.00 1.6! 0.50 0.000 1.53 0.000,C 0.000 2.00 0.000

P $ 1 .1 = M $ 1 .5 0



FSD $ 4.! T 1.25Con9orme5.10 T 1.25Con9orme Inclu e Pre& on '& '



0.8!3 m.





SM = Momento# de lo


M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


185/323

185

e=

0.12! 0.333 Con9orme

C:lculo de Pre& one&(.!8 tn m2

D '%r'm'4.3! tn m2 ,r' e*o d'l

0. !8 2.05Con9orme

@ 2 K


186/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


187/323

18!




,% =,% = 1.54dh 1.42

14.54

3.0 X %e=0.20


$# < @ < 1KW27 < *J ,#

@ > P.e. !elleno >


188/323

188

0.00

@orde = 0.503.80 3.00 Secc $ # G e orde $


,C ,% 3.80 3.00Secc. Secc. ))

,h

) ) OL

OL

0.4053.2016 3.50

1.543 tn.1.42 m.

1.!11 tn.


hterreno"on he

hterreno#in he




M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


189/323

18


0.8! m.

0.333Con9orme2.05Con9orme)i% r%m%,r' e*o d'l


M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

.


190/323

1 0


l' Secc on ) )(

,% =3.05 < Pe 'elleno


191/323

1 1

%lon0.00 0. 0 1.00 0. 0

1.402.00

6

5

3

1

2

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


192/323

1 2



# Pe#o#


N

,h

@%#e Muro

@ 2 @ 2

@ 3 @ 3 @ 3

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


193/323

1 3

dh o

e $E>centr c d'd

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


194/323

1 4

>co& $ 1.5 1.5471 .15 14.157KP $


195/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

P +,O P +,O


196/323

0.00 0.00 1 2.00@ 0.00 0.80 2 0.60/ 0.20 0.80) 0.20 3.80

)1 0.20 4.30,1 0.60 4.30, 0.60 3.80A 1.60 0.80U 2.00 0.809 2.00 0.00* 0.00 0.00

%re% tot%l 4.50 m2"imiento# 1.60 m2p%nt%ll% 2. 0 m2


tot%l #ello %# !.56 m

0.00 0.50 1.00 1.50 2.00 2.50

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

MURO

RASANTE

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


197/323

1 !

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


198/323


2" 3.!6 m.


E' $,% = 1.5 tn. p%r% #e""i n @ K @

,% = 1. 1 tn. p%r% #e""i n K



199/323

1


200/323


201/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


202/323

202

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


203/323

203

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


204/323

204

3.803.80

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


205/323

205

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


206/323

206

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


207/323

20!

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


208/323

208

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


209/323

20

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


210/323

210

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


211/323

211

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (M !O DE CO+,E+CIO+ M !O #$ .800 In%re&'r d'to& del Muro( )*ul


b1

=


212/323

212

)




/ = 0.00 tn m2 /ohe#i n "u%ndo tiene li %.00



0.0000 +i e h? = 07 Punt% %lon1.67 tn m3 Pe#o ,#pe"i . del 'elleno 0.20 0.00 0. 0 1. 0 0.50

/ = 2.00 tn m2 /ohe#i n0.80

D'to& del Concreto( 0.80 1.802.00 tn m3 Pe#o ,#pe"i . P%nt%ll% ) = 1 6 9 % 1 8 9 2.502. 0tn m3 Pe#o ,#pe"i . /iment%"i n 0.60 1. 2 @ = 2 5 9 % 2 3 9 3.20

?"= 1 0 "m2 'e#i#ten"i% del /on"reto

!e&ult'do&(En l' Secc on (A+V = 1.50 A%"tor +e urid%d Volteo 1.507 /oe i"iente de ,mpuBe "tiCo D% =A+) = 1.25 A%"tor +e urid%d )e#liE%miento 1.257 /oe i"iente de ,mpuBe P%#iCo Dp =



213/323

213


D'to& de So rec'r%' Su er or( A%"to# de +e urid%d %l )e#liE%mientoA+) = 5.64$ = 0.00 tn m2 Ver hoB%: +/ $ tnm27%? = 0.00 m. 5!.5000 2.!3 4 &bi"%"i n de l% 'e#ult%nte:

b? = 0.00 m. 1.0036 e= @ 2 K


214/323

214

9t1 = 4.30 m. P'r' l' &ecc on %n 1 = %r t%n 1 h7 13.0 15. 59t2 = 3.50 m. P'r' l' &ecc on ) ) %n 2 = %r"t%n %? b?7 h7 0.00 0.00

%? = 0.00 m. K13.0 K15. 5b? = 0.00 m. P = $ 0 < 9 < %n 2 K %n 17 0.00 tn m 0.00


1.0000 45 Dp =0.8214 0.!854



215/323

215

@%#e ltur% P.e. @r%Eo de MomentoP1 0.40 4.00 2.00 1.00 3.200 0.20 0.640P2 0.00 4.00 2.00 0.50 0.000 0.00 0.000 P%nt%ll%:P3 1.40 3.50 2.00 0.50 4. 00 0.8! 4.24! .00P5 1. 0 3.50 1.67 0.50 .0=2 1.33 5. 55P! 1.40 0.00 1.6! 0.50 0.000 1.33 0.000

,C 0.000 1.80 0.000 .80 P $ 12.1=2 M $ 10.3 2 Punt%



ri%n =0.5

@<


216/323

216

@r%Eo de Momento@%#e ltur% P.e.P1 0.40 4.00 2.00 1.00 3.200 0.40 1.280P2 0.00 4.00 2.00 0.50 0.000 0.20 0.000P3 1.40 3.50 2.00 0.50 4. 00 1.0! 5.22!P 2.50 0.80 2. 0 1.00 .800 1.25 6.000P5 1.40 3.50 1.6! 0.50 4.0 2 1.53 6.2!4P6 0.50 3.50 1.6! 1.00 2. 23 2.25 6.5!6P! 1. 0 0.00 1.6! 0.50 0.000 1.8! 0.000,C 0.000 2.50 0.000

P $ 1=.=1 M $ 25.356



FSD $ 5.64 T 1.25Con9orme5.62 T 1.25Con9orme Inclu e Pre& on '& '



1.126 m.

e t%n 1ri%n =0.5




SM = Momento# de lo


M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


217/323

21!

e=

0.124 0.41! Con9orme

C:lculo de Pre& one&(10.34tn m2

D '%r'm'5.5 tn m2 ,r' e*o d'l

1.034 2.05Con9orme

@ 2 K t%AΦ B > t%2A 5GΦ /2B

5 = A+4 G 1B> 2 > t%AΦ B


218/323

218

0.55 31.6 31.67 $

Pe#o ,#pe"i i"o del +uelo: P.e.= 1.67 tn/m3 1.6!7 Sc $ 1 G A+4/+cB>A /"B A%"tore# de Aorm%0.0016! "m3 S4 $ 1 G At%HB>A /"BS $1 0. >A /"B

Pro undid%d de )e#pl%nte: ) = 0.80 m. .80780.00 "m. Fcd $1 G 0. >AD/ B A%"tore# de Pro undid%d

F4d $ n"ho de H%p%t%: @?= 2.25 m. 2.257 F d $ 1.00

225.1! "m.0.0 E'

Lon itud del Muro: L= 1.00 m. 5.2Fc $ A%"tore# de *n"lin%"i n

/ohe#ion: /= 0.00 tn/m2 .007 F4 $0.000 "m2 F $

0 Mod 9 c'r 0 ? 1 1N" = 34.33 +" = 2. 5 A"d = 1.00 A"i = 0.8=N$ = 22.12 +$ = 2.3= A$d = 1.00 A$i = 0.8=Ny = 28.45 +y = 0.10 Ayd = 1.00 Ayi = 0.6=


6.63 "m2 66.28 tn/m2 /%p%"id%d &ltim%

A+V = 6.411 T 3.00 Con9ormeF.S.


C:lculo de )&ent'm ento&($# = 1. "m2 !. !7


A 4 G 1B 2 t%AB



A1 J /=0B2A1 J /=0B2

A1 J /HB2

4ult $4ult $

4ult /4 unt'

4 'dm $


M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


219/323

21




,% =,% = 1.84dh 1.5

25.36

3.85 X %e=0.20


$# < @ < 1KW27 < *J ,#

@ > P.e. !elleno >


220/323

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


221/323

221


1.13 m.

0.41! Con9orme2.05Con9orme

)i% r%m%,r' e*o d'l


M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

.


222/323

222


l' Secc on ) )(

,% =4.15 < Pe 'elleno


223/323

223

%lon0.00 0. 0 1. 0 0.50

1.802.50

6

5

3

1

2

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


224/323

224



# Pe#o#


N

,h

@%#e Muro

@ 2 @ 2

@ 3 @ 3 @ 3

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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dh o

e $E>centr c d'd

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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co& $ 1.8 1.8471=.=1 1 . 17KP $

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (

P +,O P +,OMURO


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0.00 0.00 1 2.50@ 0.00 0.80 2 0.60/ 0.20 0.80) 0.20 4.30)1 0.20 4.80,1 0.60 4.80, 0.60 4.30A 2.00 0.80U 2.50 0.80

9 2.50 0.00* 0.00 0.00

%re% tot%l 6.05 m2"imiento# 2.00 m2p%nt%ll% 4.05 m2

ronti# 4.00 mpo#ter 3.!! m"oron% 0. 0 m

tot%l #ello %# 8.6! m

0.00 0. 50 1.00 1. 50 2.00 2.50 3. 00

0.00

1.00

2.00

3.00

4.00

5.00

6.00

RASANTE

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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2" 3.!6 m.


E' $,% = 1.8 tn. p%r% #e""i n @ K @

,% = 1. tn. p%r% #e""i n K



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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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33!.00

M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (


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M&'(+ ), /(N ,N/* N ( +(+ ,N*M*,N (M !O DE CO+,E+CIO+ M !O #$5.30 In%re&'r d'to& del Muro( )*ul


b1

=


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D'to& del Suelo de l' '&e( 0.40 = 25.0 n ulo de ri""i n intern% del +uelo n ulo 'epo#o = %lud N%tur%l7 1 12 de 9 y m%yor % 35 "m0.4363 %n ulo en r%di%ne#7 0.44 α

1.67 tn m3 Pe#o ,#pe"i . del +uelo ".p.#. = 3.50 "m2 /%p%"id. Port%nte del +uelo

/ = 2.00 tn m2 /ohe#i n "u%ndo tiene li %.50


0.4363 0.40


1.67 tn m3 Pe#o ,#pe"i . del 'elleno 0.20 0.00 0. 0 1.70 0.70/ = 2.00 tn m2 /ohe#i n

0.80




= 0.4! 0.58 /oe i". de Ari""i n ,mpuBe "tiCo MF


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0.60 +obre"%r % Vehi"ul%r h? = J P.e.relleno A%"to# de +e urid%d %l Volteo A+V = .8!

D'to& de So rec'r%' Su er or( A%"to# de +e urid%d %l )e#liE%mientoA+) = 8.15$ = 0.00 tn m2 Ver hoB%: +/ $ tnm27%? = 0.00 m. 5!.5000 3.05! &bi"%"i n de l% 'e#ult%nte:

b? = 0.00 m. 1.0036 e= @ 2 K


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%? = 0.00 m. K11.!! K14.04b? = 0.00 m. P = $ 0 < 9 < %n 2 K %n 17 0.00 tn m 0.00


1.0000 45 Dp =0.8214 0.!854



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@%#e ltur% P.e. @r%Eo de MomentoP1 0.40 4.50 2.00 1.00 3.600 0.20 0.!20P2 0.00 4.50 2.00 0.50 0.000 0.00 0.000 P%nt%ll%:P3 1.!0 4.00 2.00 0.50 6.800 0. ! 6.5!3 .50P5 1.70 .00 1.67 0.50 5.678 1.53 8.706P! 1.!0 0.00 1.6! 0.50 0.000 1.53 0.000,C 0.000 2.10 0.000

5.30 P $ 16.078 M $ 16.000 Punt%



ri%n =0.5

@<


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P2 0.00 4.50 2.00 0.50 0.000 0.20 0.000P3 1.!0 4.00 2.00 0.50 6.800 1.1! !. 33P 3.00 0.80 2. 0 1.00 5.760 1.50 8.6 0P5 1.!0 4.00 1.6! 0.50 5.6!8 1.!3 .842P6 0.!0 4.00 1.6! 1.00 4.6!6 2.65 12.3 1P! 2.40 0.00 1.6! 0.50 0.000 2.20 0.000,C 0.000 3.00 0.000

P $ 26.51 M $ 0.2 7

%7 Por Volteo @K@: FSV $ .8! T 1.50Con9orme

El Momento de los Pesos debe ser mayor en 1.5 veces el Momento del Empuje Horizontal


FSD $ 5. 8 T 1.25Con9orme8.15 T 1.25Con9orme Inclu e Pre& on '& '

La Fuera Resistente debe ser mayor en 1.

Muro Pichanaki Sotano

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