Diseño de Pontones Lrfd Completo

8/10/2019 Diseo de Pontones Lrfd Completo

1/54

DATOS : ALTURA DE ZAPATA CIMENTACION (m) d = 0.50TIPO DE TERRENO (Kg/cm2) = 3.78 ANCHO DE PUENTE (m) A = 4.10LUZ DEL PUENTE (m) L = 4.00 ALTURA DEL ESTRIBO (m) H = 3.00 ANGULO DE FRICCION INTERNA (grad ) = 32.25 ALTURA E!UI"# DE SOBRE CARGA (m) h' = 0.60PESO ESPECIF# RELLENO (T$/m%) 1.60PESO ESPECIF# CONCRETO (T$/m%) 2.40

M = 0.30Lg. Puente= 4.40 m&' N = 0.40

= 0.60! = 0."0# = 0.35

L = 4.00 m&' $ = 0.40% = 0.50& = 2.20

ANAL(S(S D STA&(L(DAD N LA S ))(ON : A A

1 *+u,e de te--en : *'%+

, *'-*C 2 45 / 2 ) ==>>>>> 0.30

E *#+ . . ( 0 2 1 ) . C 0.132 TN

E3 E . S4$ ( / 2) *'*%5E E . C 6 ( /2) *'725

P8$& d4 9 $ d4 4 98 4 E

D(S /O D ST (&OS : P NT )A O A&L L = 4.00 M AM&OSST (&OS

1 =2 =


2/54


ue- # e-t9%# e #%tu#nte

P;(&$) ?;(m) M;(T$@m)P7 *'%%- *'2 *'*-52E3 *'*%5 *' * *'*7 --2+ 27

T &a: *'%52-+- *'* 7 -2+ 27

?3 M& / P; *'22* mZ E . D /P; *'*++ m4 /2@ ( ?3@Z) *'*%+ m

;e-9


3/54


2 t#d : t-9$ % n +uente -e en $-e%#-g#d :P46 9r 9; 17.614"6R4acc;R% 2' 2 T$

ue- # e-t9%# e #%tu#nte :

P;(&$) ?;(m) M;(T$@m)R7 '2 - *' + %'-+2R% 2' 7 *' + 2'*+-P 34r&;ca: & ' 7 *' % '7 %T &a: 7+'+%+ 7%' 2

?3 M& / P; *' m

AS HO ( ONTAL S STA&(L( ADO AS :

P;(&$) ;(m) M;(T$@m)E 2' + 7'7 %'%--R2 *'2 5 ' * 7'%5T &a: %'2%2 '5 +

M; / P; 7' -Z *'%*+4 *'7-7

; ( ()A)(ON S :

1 ;e-9


4/54


D . ( 0 % . , ) / ( 0 2 , ) / % 7'%2


P;(&$) ?;(m) M;(T$@m)

P7 2' * 7'- '-*P2 %'7 * 7'7+ %'-+5P% 7' * *'5* 7'%%-P 2'- * 7'7 2' *P+ 7'2** 2'** 2' **E3 7'772 2'2* 2' +T &a: 72' 2* 75'%+*

?3 M& / P; 7'% % mZ E .D /P; *'% 2 m4 /2@(?3@Z) *'7 m / - b/6= 0.37

4 / -# )ON O M; ( ()A)(ON S

1 ;e-9


5/54


; ( ()A)(ON S

1 ;e-9


6/54

D(S /O D P NT T(PO LOSA : M TODO L DPRO ECTO>

S )ONS(D A:

LUZ DEL PUENTE (L@ m&6) '** mSOBRECARGA "EHICULAR HL@ %NUMERO DE " AS 7

%'-* 7 ' * 7 ' *MAT (AL S:

RESISTENCIA DEL CONCRETO ( c) 2 *FLUENCIA DEL ACERO ( ) 2** Kg'/cmQCARPETA ASF LTICA *'*+ mDENSIDAD DEL CONCRETO 2 ** 2' * T$/mDENSIDAD DEL ASFALTO 22+* 2'2+ T$/mBOMBEO 2J

A. D(M NS(ONAM( NTO

LUZ DEL PUENTE LUZ (L#S) '** m ANCHO DE CALZADA E %'-* mPERALTE DE LOSA (7'2(S0%***))/%* *'2 m

S AS M h = 0.35 m ANCHO DE SARDINEL $ = *'-* m E$&r4 *'-* a *'5+mH' DE LA "IGA BORDE h$ = *'7+ m E$&r4 *'7+ a *'2*m

*'-* %'-* *'-*

*'7+ *'*+

*'%+

*'%+ ' * *'%+

&. D(S O D LOSA

M T ADO D )A !AS

$.1 M *ent + - )#-g# Mue-t# (Fra$=a I$&4r; r d4 7'** m d4 a$c )

D)Pe ) n%-et = *' T$/m

MD) = D)BLC2 8 = 1.68 Tn.*

DEPe A


7/54

Carga 3;3a (LL)> D4 :a Ta :a A# 9ara 34 c8: HL@ %# c $ :a c $6;d4rac;

2%' * T@m

D T M(NA)(FN D L AN)HO )T(;OL7 '* m 7 m *** mm7 %'- m m %-** mm

(a$c & &a:) '7 m 7** mm7 E$ g4$4ra: :a 9ar&4 4$&4ra d4 :a r4:ac; $ V/%'-# 6;4$d

V 4: a$c :; r4 d4 ca: ada'7' A$c d4 :a Fa=a Cr &;ca 9ara 8$ Carr;: Cargad >

= 250G0.42 L1BE1 C1 2 E NL

E 7# +*' 5 %-** mm

)AL) LO D LOS )TOS D LA )A !A ;(;AP#-# n# ;I# )#-g#d#

S AS M 11."" Tn * *

RESUMEN DE MOMENTOS FLECTORES CRITERIOS LRFD APLICABLESMOMENTOS POSITI"OS POR CARGAS (FRANWA INTERIOR)

)#-g# M G T * e 9 ten%9# ( Se- 9%9 ( #t9g#DC 1.68 7'2+ 7'** *'**D 0.23 7'+* 7'** *'**LL0IM 11."" 7'5+ 7'** *'5+

R46;6&4$c;a I U $X7'2+DC07'+*D 07'5+(LL0IM)YS4r3;c; I U $X7'*DC07'*D 07'*(LL0IM)YFa&;ga U $X*'5+(LL0IM)Y

S L ))( N D MOD( ()ADO S D )A !A n

Fac& r d4 D8c&; ;:;dad ($D) *' +Fac& r d4 R4d8$da$c;a (NR) 7'*+

S4c& r d4 Im9 r&a$c;a O94r &;ca ($I) 7'*+

$ $D . $R . $7n = 7'*+

)OM&(NA)( N D )A !AS APL()A&L S

S(ST N)(A 1 t#d L9*9te

M8 $(7'2+ DC 0 7'+* D 0 7'5+ (LL 0 IM))Mu = 24.60 Tn *

S ;()(O 1 t#d L9*9teM8 7'*(DC 0 D ) 0 7'* (LL 0 IM)

Mu = 13."0 Tn *

MLL0IM

NL ($ m4r d4 3 a6)

MLL0IM m(Mma .7'%%0M6/c)/E

MLLG(M =


8/54

D(S O

A. D(S O PO STADO L(M(T PO S ;()(O

; ( ()A)( N D P ALT D S ;()(O

M8 7% '-+ Kg'@mc *' . c 7726 *' . 7- *

E6 27*****Ec 7+*** [ c 2+* '*7

$ E6 / Ec '%5r 6 / c 7+

K $/($ 0 r) *'%- = 7 @ K/% *'

7** cm'

; ( ()A)(ON D L ;ALO D L P ALT :

d [(2M / ( c . K . = . )) 2 '*- cm' %+'** cm OJKd # u*9d = 35 %*.

%+%2'+

2'+

&. )AL) LO D A) OPara 4: E6&ad L m;&4 d4 R46;6&4$c;a I# c $ $ $D$R$I>M8 $X7'2+ MDC 0 7'+* MD 0 7'5+ M(LL0IM)Y Mu = 2 '-* T@m

Ac4r Pr;$c;9a: Para:4: a: Tr ;c >U&;:; a$d A6 + 5.07 d$ %*. = 2.54

r 2'+ 0 2'+ %'55 cm r '** cm A68m;r 2 \ *' + (C8adr )

d @(r0d ) %7'2% cmV 7**'** cm (A$c d4 A$ :6;6)

K8 K8 2 '-5

m /(*' + ,c) m 75'-+

Kg'/cmQKg'/cmQKg'/cmQ

A $ %* 2. =

M8/( ' 'd']2)

1"


9/54

^ *'**5+5*5 *'*%( ,c/ , )*'**2***

*'**2*** ^ *'**5+5*5O_' La c8a$&;a m;$;ma 46 m4$ r 84 :a c8a$&;a ca:c8:ada

Ad4m 6 > A6 ^ d 2%'- cm2 A6 2%'- cm2 Ac4r d4r4 84r : $g;&8d;$a:'

La AASTHO r4c m;4$da A6 *' J r4a d4 :a : 6a ;$ 4r; r c m m;$;m ' Ar4a L 6a 7%+'** cm2

A6 *'+ cm2 O .

P r : &a$& > A = 23.10 %*2

a (A6' , )/(*' + ,c ) a '* cm &6 %+'** cm O .

c a/*' + c ' * cm

c/d *'7+ *' 2 O .

C :c8: d4: E69ac;am;4$& > S A6 /A6S *'22 m #- 1 0.22 *

E$ L 6a I$ 4r; r Ac4r M ;m >

*' +@*'*+(( ,c@2 *)/5*) 9ara ,c 2 * Kg/cm2# 7 *' +*

c a/`7 ' * cm%7'2% cm

*'7+ *' 2 O .

Ac4r M $;m >La ca$&;dad d4 ac4r 9r 9 rc; $ad d4 4 64r ca9a d4 r46;6&;r 4: m4$ r 3a: r

'2 T@mS;4$d >

%%'-% Kg/cm2S 2/- 2*# 75 cm%

) 7'%% M8 7'%%( +' - T@m) %2'52 T@m

E: m4$ r 3a: r 46 7%'-2 T@m :a ca$&;dad d4 ac4r ca:c8:ada (%%'2+ cm2)r46;6&4 M8 2 '-* T@m '2 T@m O .

A) O D PA T()( NJ

J 2-'% J

^m;$^m;$

^m;$

U$a 64cc; c /d 4 *' 2

C m 7

d4c/d4

d4 7'2Mcr 7'%%M8>

a) 7'2Mcr 7'2 r S 7'2(%%'-% Kg/cm2)(%%#5+* cm%)

r *'-% c MPa 2'*7 c _g/cm2 2'*7 2 * Kg/cm2

75+*/[S +*J

=1m [1 1 2mKufy ]


10/54

A = 6.10 %*2

U&;:; a$d 3ar;::a6 +/ # :a 649arac; 6

% 1."8 d$ %*. = 1.5"

6 *'%2 m #- 5 8 0.30 *A) O D T MP AT A

*'5+- A6/F [SI]*'**7 Ag [MKS, con f'y= 4200 kg/cm2]

-'%* cm2-'%* cm2 9 r Ca9a

U&;:; a$d 3ar;::a6 7/2 # :a 649arac; 6

2 1.27 d$ %*. = 1.27

6 *'2* m #- 1 2 0.20 *

7'*+ m*'%+ m O .

4$ :a 9ar&4 6894r; r d4 :a : 6a# 4$ am 6 64$&;d 6'

! A ()AU6ar 7/21 b 2* cm U6ar 7/21 b 2* cmT4m94ra&8ra T4m94ra&8ra

U6ar +/ 1 b %* cm U6ar 71 b 22 cmR49ar& L $g;&8d;$a:

e 9 9@n de 9 u-#%9@n + - D9 t-9$u%9@n de A-*#du-#

Para 4: ac4r 9r;$c;9a: 9 6;&;3 (d;r4cc;

%'55 cm 22 cm

$3 7 N d4 3ar;::a6

A 7-+' - cm2

Z %*#*** N/mm (c $d;c;


11/54

%'+ * Kg/cm2 *'- ,2+2* Kg/cm2

E6 84r d4: ac4r a= carga6 d4 64r3;c;

Para 4: D;64 9 r E6&ad L m;&4 d4 S4r3;c; I# c $ $ $D$R$I 7>

7%' * T@m/m

Para 8$ a$c &r; 8&ar; d4 *'7+m>

M6 (2 '+5 T@m/m) (*'7+ m) 2'* T@m/m

E6 2**#*** M9a E6 2#*% # ** Kg/cm2

7+#% [ ,c 2+-#5+ Kg/cm2

$

Ac4r T&a:>$.Ar

*'+- cm2

r4a d4 ac4r &ra$6 rmada>r4:ac;7 +5 Kg/cm2

7 +5 Kg/cm2 2+2* Kg/cm2O .

6a 6a 6a

6a (M6c / I)$

M6 $(7'*M DC07'*MD 07'*MLL0IM)M6

Ec E c

$ E 6/Ec

A6&

A6&

A6& A6&

$ ( /2) A 6&(( @dc)@ )

I A6&c]2 0 (( ]%)/%)

6 (M6 c/I)$ 6

6 6a

! cm

4 cm4!.2"

".&&!!$%0.!

'f(/n)

y

c

'*)

'+")

,.-.


12/54

$.2 #t9g#

7 ' * T@m 7 ' T 7 ' T %'- T'* m '% m

Para 4: D;64 9 r Fa&;ga# c $7

2'* m 2'* m

C $6;d4ra$d 4: a$c 4 4c&;3 9ara 8$a 6 :a 3 a cargada# IM 7+J

72'55 T@m%'++ T@m/m

$.2 Se%%9 n 9 u-#d#S4 8&;:; a :a 64cc;

B )#*9@n HL "3

MLL PL/

MLL

$ $ D$R $I

Ma& $(*'5+ M LL0IM)

Ma&Ma&

ma r 84> *'2+ fo

&racc *'2+[ M 9a *' *[ Kg/cm2 &racc

Mea& 7'*M DC0 7'*MD 0 7'+Ma&

Mea&

a& a&

c m a&

c $ A 6 A 6

LL M a&/ A6 (='d) LL

9 r

/0

Mm12


13/54

7' 7 T@m

E: 46 84r 9 r carga 94rma$4$&4 46>

2 7 Kg/cm2

L84g # 4: 46 84r m $;m 46>

2 7 Kg/cm2

E: 46 84r m ;m 46 4: 46 84r 9 r carga 3;3a m ;m c m ;$ad c $ 4: 46 84r 9 r 9 r carga6 94rma$4$&46>

- Kg/cm2

Kg/cm2

E: ra$g : m;&4 46>

C $ r/ *'%*

7+- Kg/cm2

7+- Kg/cm2 Kg/cm2 O .

D9 e de # ;e-ed#

*'+7 T$/m2

Ca:c8: d4: m m4$& d4: 946 9r 9; >

S4cc; $ D;m4$c; $46 Carga (T$) Bra (m)Bara$da 7'* *'7+ *'7+* *'++* *'* %

7 *'++ *'7+ 2' * *'7 *'%2+ *'*-2 *'++ *'*+ 2' */2 *'*%% *'275 *'**5

3 = *'7+

S4 &;4$&4 *'7+ T@m

M m4$& 9 r 6 r4carga>

*'*55 T@m

MDL M DC 0 MD MDL

DL M DL/(A6(='d)) DL

c4r '

m $ * 0 F DL m $

m LL 0 m $ m

E: ra$g d4 46 84r 6 46> m f m $

7 5 *'%% m;$ 0 +-7(r/ )

: m;&4

: m;&4

@

MD

ML

0.4

0."

0.00.

0.!

0. 0

!.00

0.!


14/54

M m4$& 9 r Im9ac& >*'** T@m

M m4$& d4 D;64 >*'%27 T@m

C $6;d4ra$d >++ cm

d 77 cm %+-7 ' 5 Kg@cm'

*'*7 *'*7

:a c8a$&;a 64r > = *'**7&4$4m 6 :a c8a$&;a a:a$c4ada> 5 = *'*-* :a c8a$&;a ma ;ma 46&a dad 5 = *'* +:a c8a$&;a m;$;ma 46&a dad 9 r *'**%c m9r a$d 84 m 7 O .c m9r a$d 84 8 m9n .. N c8m9:4

calculando Asw

A6 5 # = 2'*+ cm2E$& $c46

U&;:; a$d 3ar;::a6 %/ # :a 649arac; 6

7 0.71 d$ %*. = 0."5

E69ac;mam;4$& 6 7 '*- m #- 3 8 0.1" *

M; *'7* M L MU

MU 7'2 M D07'- (ML0M;) MU

M$ M 8/ M$

M$ / ,c d]2 E$& $c46: =

m9n =

4$& $c46 86a$d 1 m;$1

Ca:c8:a$d A6V A6 A 6m;$ @@@@@@@@@# c8m9:4 & mar4m 6 A6

Ar/A6&4m9

A $ %* 2. = 3/8"


15/54

DATOS : ALTURA DE ZAPATA CIMENTACION (m) d = 0.50TIPO DE TERRENO (Kg/cm2) = 3.42 ANCHO DE PUENTE (m) A = 4.20LUZ DEL PUENTE (m) L = 5.00 ALTURA DEL ESTRIBO (m) H = 4.15 ANGULO DE FRICCION INTERNA (grad ) = 34.14 ALTURA E!UI"# DE SOBRE CARGA (m) h' = 0.60PESO ESPECIF# RELLENO (T$/m%) 1.60PESO ESPECIF# CONCRETO (T$/m%) 2.40

M = 0.30Lg. Puente= 5.40 m&' N = 0.40

= 1.00! = 0."0# = 0.40

L = 5.00 m&' $ = 0.40% = 0.50& = 2.60


1 *+u,e de te--en : *' *

, *'-*C 2 45 / 2 ) ==>>>>> 0.28

E *#+ . . ( 0 2 1 ) . C 0.144 TN

E3 E . S4$ ( / 2) *'* 2E E . C 6 ( /2) *'7%

P8$& d4 9 $ d4 4 98 4 E


1 =2 =


16/54



P;(&$) ?;(m) M;(T$@m)P7 *'% *'2 *'*5-E3 *'* 2 *' * *'*7- -77

T &a: *' 2-2 *2 5 *'* %- -77

?3 M& / P; *'22* mZ E . D /P; *'*+ m4 /2@ ( ?3@Z) *'*% m

;e-9


17/54


18/54


D . ( 0 % . , ) / ( 0 2 , ) / % 7'57


P;(&$) ?;(m) M;(T$@m)

P7 %' 2 5' -P2 '+** 7'++ -' 5+P% '+** *' 5 '%+*P %'72* 7'% '*+-P+ 7'--* 2' * %'E3 7'5 + 2'-* '--T &a: 7 '++ %2'**7

?3 M& / P; 7'-%- mZ E .D /P; *'+77 m4 /2@(?3@Z) *'75+ m / - b/6= 0.43

4 / -# )ON O M; ( ()A)(ON S

1 ;e-9


19/54


; ( ()A)(ON S

1 ;e-9


20/54


21/54


%7' * T@m

D T M(NA)(FN D L AN)HO )T(;OL7 +'* m 7 m +*** mm7 %'- m m %-** mm



= 250G0.42 L1BE1 C1 2 E NL

E 2#7+7'-% %-** mm

)AL) LO D LOS )TOS D LA )A !A ;(;AP#-# n# ;I# )#-g#d#

S AS M 14.78 Tn * *


)#-g# M G T * e 9 ten%9# ( Se- 9%9 ( #t9g#DC 2.63 7'2+ 7'** *'**D 0.35 7'+* 7'** *'**LL0IM 14.78 7'5+ 7'** *'5+

R46;6&4$c;a I U $X7'2+DC07'+*D 07'5+(LL0IM)YS4r3;c; I U $X7'*DC07'*D 07'*(LL0IM)YFa&;ga U $X*'5+(LL0IM)Y




$ $D . $R . $7n = 7'*+



M8 $(7'2+ DC 0 7'+* D 0 7'5+ (LL 0 IM))Mu = 31.16 Tn *

S ;()(O 1 t#d L9*9teM8 7'*(DC 0 D ) 0 7'* (LL 0 IM)

Mu = 17.76 Tn *

MLL0IM

NL ($ m4r d4 3 a6)


MLLG(M =


22/54

D(S O


; ( ()A)( N D P ALT D S ;()(O

M8 755+-'*+ Kg'@mc *' . c 7726 *' . 7- *

E6 27*****Ec 7+*** [ c 2+* '*7

$ E6 / Ec '%5r 6 / c 7+

K $/($ 0 r) *'%- = 7 @ K/% *'

7** cm'


d [(2M / ( c . K . = . )) %7'57 cm' %+'** cm OJKd # u*9d = 35 %*.

%+%2'+

2'+

&. )AL) LO D A) OPara 4: E6&ad L m;&4 d4 R46;6&4$c;a I# c $ $ $D$R$I>M8 $X7'2+ MDC 0 7'+* MD 0 7'5+ M(LL0IM)Y Mu = %7'7- T@m

Ac4r Pr;$c;9a: Para:4: a: Tr ;c >U&;:; a$d A6 + 5.07 d$ %*. = 2.54

r 2'+ 0 2'+ %'55 cm r '** cm A68m;r 2 \ *' + (C8adr )

d @(r0d ) %7'2% cmV 7**'** cm (A$c d4 A$ :6;6)

K8 K8 %5'+

m /(*' + ,c) m 75'-+


A $ %* 2. =

M8/( ' 'd']2)

1"


23/54


24/54

A = 7.16 %*2

U&;:; a$d 3ar;::a6 +/ # :a 649arac; 6

% 1."8 d$ %*. = 1.5"

6 *'2 m #- 5 8 0.28 *A) O D T MP AT A


-'%* cm2-'%* cm2 9 r Ca9a

U&;:; a$d 3ar;::a6 7/2 # :a 649arac; 6

2 1.27 d$ %*. = 1.27

6 *'2* m #- 1 2 0.20 *

7'*+ m*'%+ m O .

4$ :a 9ar&4 6894r; r d4 :a : 6a# 4$ am 6 64$&;d 6'

! A ()AU6ar 7/21 b 2* cm U6ar 7/21 b 2* cmT4m94ra&8ra T4m94ra&8ra

U6ar +/ 1 b 2 cm U6ar 71 b 75 cmR49ar& L $g;&8d;$a:


Para 4: ac4r 9r;$c;9a: 9 6;&;3 (d;r4cc;

%'55 cm 75 cm

$3 7 N d4 3ar;::a6

A 725'22 cm2

Z %*#*** N/mm (c $d;c;


25/54

%' * Kg/cm2 *'- ,2+2* Kg/cm2

E6 84r d4: ac4r a= carga6 d4 64r3;c;

Para 4: D;64 9 r E6&ad L m;&4 d4 S4r3;c; I# c $ $ $D$R$I 7>

75'5- T@m/m

Para 8$ a$c &r; 8&ar; d4 *'7+m>

M6 (2 '+5 T@m/m) (*'7+ m) 2'-- T@m/m

E6 2**#*** M9a E6 2#*% # ** Kg/cm2

7+#% [ ,c 2+-#5+ Kg/cm2

$

Ac4r T&a:>$.Ar

*'+- cm2

r4a d4 ac4r &ra$6 rmada>r4:ac;

7 Kg/cm2

7 Kg/cm2 2+2* Kg/cm2 O .

6a 6a 6a

6a (M6c / I)$

M6 $(7'*M DC07'*MD 07'*MLL0IM)M6

Ec E c

$ E 6/Ec

A6&

A6&

A6& A6&

$ ( /2) A 6&(( @dc)@ )

I A6&c]2 0 (( ]%)/%)

6 (M6 c/I)$ 6

6 6a

! cm

4 cm4!.2"

".&&!!$%0.!

'f(/n)

y

c

'*)

'+")

,.-.


26/54

$.2 #t9g#

7 '+* T@m 7 ' T 7 ' T %'- T'* m '% m

Para 4: D;64 9 r Fa&;ga# c $7

2'+* m 2'+* m


7+' - T@m' % T@m/m

$.2 Se%%9 n 9 u-#d#S4 8&;:; a :a 64cc;

B )#*9@n HL "3

MLL PL/

MLL

$ $ D$R $I

Ma& $(*'5+ M LL0IM)

Ma&Ma&

ma r 84> *'2+ fo

&racc *'2+[ M 9a *' *[ Kg/cm2 &racc

Mea& 7'*M DC0 7'*MD 0 7'+Ma&

Mea&

a& a&

c m a&

c $ A 6 A 6

LL M a&/ A6 (='d) LL

9 r

/

Mm1


27/54

2' T@m

E: 46 84r 9 r carga 94rma$4$&4 46>

2 - Kg/cm2

L84g # 4: 46 84r m $;m 46>

2 - Kg/cm2

E: 46 84r m ;m 46 4: 46 84r 9 r carga 3;3a m ;m c m ;$ad c $ 4: 46 84r 9 r 9 r carga6 94rma$4$&46>

57% Kg/cm2

25 Kg/cm2

E: ra$g : m;&4 46>

C $ r/ *'%*

7++% Kg/cm2

7++% Kg/cm2 25 Kg/cm2 O .

D9 e de # ;e-ed#

*'+7 T$/m2

Ca:c8: d4: m m4$& d4: 946 9r 9; >

S4cc; $ D;m4$c; $46 Carga (T$) Bra (m)Bara$da 7'* *'7+ *'7+* *'++* *'* %

7 *'++ *'7+ 2' * *'7 *'%2+ *'*-2 *'++ *'*+ 2' */2 *'*%% *'275 *'**5

3 = *'7+

S4 &;4$&4 *'7+ T@m

M m4$& 9 r 6 r4carga>

*'*55 T@m

MDL M DC 0 MD MDL

DL M DL/(A6(='d)) DL

c4r '

m $ * 0 F DL m $

m LL 0 m $ m

E: ra$g d4 46 84r 6 46> m f m $

7 5 *'%% m;$ 0 +-7(r/ )

: m;&4

: m;&4

@

MD

ML

0.4

0."

0.00.

0.!

0. 0

!.00

0.!


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M m4$& 9 r Im9ac& >*'** T@m

M m4$& d4 D;64 >*'%27 T@m

C $6;d4ra$d >++ cm

d 77 cm %+-7 ' 5 Kg@cm'

*'*7 *'*7

:a c8a$&;a 64r > = *'**7&4$4m 6 :a c8a$&;a a:a$c4ada> 5 = *'*-* :a c8a$&;a ma ;ma 46&a dad 5 = *'* +:a c8a$&;a m;$;ma 46&a dad 9 r *'**%c m9r a$d 84 m 7 O .c m9r a$d 84 8 m9n .. N c8m9:4

calculando Asw

A6 5 # = 2'*+ cm2E$& $c46

U&;:; a$d 3ar;::a6 %/ # :a 649arac; 6

7 0.71 d$ %*. = 0."5

E69ac;mam;4$& 6 7 '*- m #- 3 8 0.1" *

M; *'7* M L MU

MU 7'2 M D07'- (ML0M;) MU

M$ M 8/ M$

M$ / ,c d]2 E$& $c46: =

m9n =

4$& $c46 86a$d 1 m;$1

Ca:c8:a$d A6V A6 A 6m;$ @@@@@@@@@# c8m9:4 & mar4m 6 A6

Ar/A6&4m9

A $ %* 2. = 3/8"


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DATOS : ALTURA DE ZAPATA CIMENTACION (m) d = 0.80TIPO DE TERRENO (Kg/cm2) = 3.5" ANCHO DE PUENTE (m) A = 4.10LUZ DEL PUENTE (m) L = 8.00 ALTURA DEL ESTRIBO (m) H = 7.00 ANGULO DE FRICCION INTERNA (grad ) = 36.00 ALTURA E!UI"# DE SOBRE CARGA (m) h' = 0.60PESO ESPECIF# RELLENO (T$/m%) 1.60PESO ESPECIF# CONCRETO (T$/m%) 2.40

M = 0.40Lg. Puente= 8.40 m&' N = 0.50

= 1.70! = 1.00# = 0.55

L = 8.00 m&' $ = 0.50% = 0.50& = 3.60


1 *+u,e de te--en : *'++

, *'-*C 2 45 / 2 ) ==>>>>> 0.26

E *#+ . . ( 0 2 1 ) . C 0.200 TN

E3 E . S4$ ( / 2) *'*-2E E . C 6 ( /2) *'7 *

P8$& d4 9 $ d4 4 98 4 E


1 =2 =


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P;(&$) ?;(m) M;(T$@m)P7 *'-- *'2+ *'7-+E3 *'*-2 *'+* *'*%* 575-

T &a: *'52755 %+2 *'7 + 575-

?3 M& / P; *'257 mZ E . D /P; *'*-+ m4 /2@ ( ?3@Z) *'* % m

;e-9


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2 t#d : t-9$ % n +uente -e en $-e%#-g#d :P46 9r 9; 77.728"632R4acc;R% +'2 T$


P;(&$) ?;(m) M;(T$@m)R7 7 ' + 7' + %-' -R% +'2 2 7' + 7*'222P 34r&;ca: & %2' 2 7' 7 + ' 7*T &a: +5'7 2 7*5'**7

?3 M& / P; 7' 57 m

AS HO ( ONTAL S STA&(L( ADO AS :

P;(&$) ;(m) M;(T$@m)E 77'%% 2'+* 2 '% 7R2 *'2 5 ' * 2'+2T &a: 77'-2+ %*' 2*

M; / P; 2'--*Z *'+ 74 *'*2*

; ( ()A)(ON S :

1 ;e-9


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D . ( 0 % . , ) / ( 0 2 , ) / % 2'55


P;(&$) ?;(m) M;(T$@m)

P7 ' ** 2' + 2%' *P2 5'5 * 2'%+ 7 '7P% 7%'7+ 7'+% 2*'75-P -' 72 7' 72' 2P+ %'+** %'%+ 77'52+E3 '+*- %'-* 7-'22*T &a: '27- 7*2'- 7

?3 M& / P; 2'%2% mZ E .D /P; *' 5* m4 /2@(?3@Z) *'% 5 m / - b/6= 0.60

4 / -# )ON O M; ( ()A)(ON S

1 ;e-9


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; ( ()A)(ON S

1 ;e-9


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D(S /O D P NT T(PO LOSA : M TODO L DPRO ECTO>

S )ONS(D A:

LUZ DEL PUENTE (L@ m&6) '** mSOBRECARGA "EHICULAR HL@ %NUMERO DE " AS 7

%'-* 7 ' * 7 ' *MAT (AL S:

RESISTENCIA DEL CONCRETO ( c) 2 *FLUENCIA DEL ACERO ( ) 2** Kg'/cmQCARPETA ASF LTICA *'*+ mDENSIDAD DEL CONCRETO 2 ** 2' * T$/mDENSIDAD DEL ASFALTO 22+* 2'2+ T$/mBOMBEO 2J

A. D(M NS(ONAM( NTO

LUZ DEL PUENTE LUZ (L#S) '** m ANCHO DE CALZADA E %'-* mPERALTE DE LOSA (7'2(S0%***))/%* *' m

S AS M h = 0.50 m ANCHO DE SARDINEL $ = *'-* m E$&r4 *'-* a *'5+mH' DE LA "IGA BORDE h$ = *'7+ m E$&r4 *'7+ a *'2*m

*'-* %'-* *'-*

*'7+ *'*+

*'+*

*'%+ ' * *'%+

&. D(S O D LOSA

M T ADO D )A !AS

$.1 M *ent + - )#-g# Mue-t# (Fra$=a I$&4r; r d4 7'** m d4 a$c )

D)Pe ) n%-et = 7'2* T$/m

MD) = D)BLC2 8 = ".60 Tn.*

DEPe A


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(P r Bar4&&) 7 ' * 7 ' * %'-* CL

Mcam; $ %7'-5 T$@m *'5 %'22+ 2' 2+

*'2 7' -+'*5+ 2' 2+

7 ' * 7 ' * %'-* CL

Mcam; $ 25'% T$@m @*'% '% '%@*'7+

2'**

'** '**

M%#*9 n = 31.67 Tn *

(P r Bar4&&) 77'2* 77'2* CL

M&a$d4m % '%* T$@m %'5 7'2 %'7

7'7' %

%'5* '%*

77'2 77'2* CL

M&a$d4m % '* T$@m 7'2 2'

2'**7' *

'** '**

Mt#nde* = 38.30 Tn *

*' 5 T$@m

M6/c 4 5'5- T$@m '**

2'**

'** '**

M % e? = 7.76 Tn *

B T#nde*

B S ) ?u9 # ente


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D T M(NA)( N D LOS MOM NTOS

7'7 7'7 T$/m

L '** m

'** '++ T$@m

2'** '++ T$@m'** '**

".55 Tn *

*'7* T$/m*'7*L '** m

*' * T$@m'**

*' * T$@m

0.80 Tn *

)#*9@n HL "3 T#nde* de D9 e

%'-* 7 ' * 7 ' * 77'2* 77'2*

A. MOM NTO PO P SO P OP(O M D)

MDC

MDC

MD) = M m M ' 9 r P46 Pr 9;9 r 7 m d4 a$c d4 L 6a

&. MOM NTO PO )A !A M TA M DE

MDC

MDC

MDE = M m M ' 9 r Carg M84r&a9 r 7 m d4 a$c d4 L 6a

T$/m

T$/m


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+ '-2 T@m

D T M(NA)( N D L AN)HO )T(;O

L7 '* m 7 m *** mm7 %'- m m %-** mm



= 250G0.42 L1BE1 C1 2 E NL

E 2#-++'% %-** mm

)AL) LO D LOS )TOS D LA )A !A ;(;A

P#-# n# ;I# )#-g#d#

Mma % '%* T$@mM6/c 5'5- T$@m

m 7'720.72 Tn * *

S AS M 20.72 Tn * *S AS M 22.08 Tn * *


)#-g# M G T * e 9 ten%9# ( Se- 9%9 ( #t9g#DC ".60 7'2+ 7'** *'**D 0."0 7'+* 7'** *'**LL0IM 22.08 7'5+ 7'** *'5+

R46;6&4$c;a I > U $X7'2+DC07'+*D 07'5+(LL0IM)YS4r3;c; I > U $X7'*DC07'*D 07'*(LL0IM)YFa&;ga > U $X*'5+(LL0IM)Y




$ $D . $R . $7n = 7'*+

MLL0IM

NL ($ m4r d4 3 a6)


MLLG(M =

MLLG(M =MLLG(M =


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M8 $(7'2+ DC 0 7'+* D 0 7'5+ (LL 0 IM))

Mu = 54.58 Tn *S ;()(O 1 t#d L9*9te

M8 7'*(DC 0 D ) 0 7'* (LL 0 IM)Mu = 32.58 Tn *

D(S O


; ( ()A)( N D P ALT D S ;()(O

M8 %2+5+' 2 Kg'@m

c *' . c 7726 *' . 7- *E6 27*****

Ec 7+*** [ c 2+* '*7$ E6 / Ec '%5

r 6 / c 7+K $/($ 0 r) *'%-

= 7 @ K/% *' 7** cm'


d [(2M / ( c . K . = . )) 2' + cm' +*'** cm OJK

d # u*9d = 50 %*.

+*5'+

2'+

&. )AL) LO D A) OPara 4: E6&ad L m;&4 d4 R46;6&4$c;a I# c $ $ $D$R$I>

M8 $X7'2+ MDC 0 7'+* MD 0 7'5+ M(LL0IM)Y Mu = + '+ T@m Ac4r Pr;$c;9a: Para:4: a: Tr ;c >U&;:; a$d A6 + 5.07 d$ %*. = 2.54

r 2'+ 0 2'+ %'55 cm r '** cm A68m;r 2 \ *' + (C8adr )

d @(r0d ) -'2% cmV 7**'** cm (A$c d4 A$ :6;6)

K8 K8 %*'*+

m /(*' + ,c) m 75'-+


A $ %* 2. =

M8/( ' 'd']2)

1"


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^ *'**5-5%2 *'*%( ,c/ , )*'**2***

*'**2*** ^ *'**5-5%2O_' La c8a$&;a m;$;ma 46 m4$ r 84 :a c8a$&;a ca:c8:ada

Ad4m 6 > A6 ^ d %+' 5 cm2 A6 %+' 5cm2 Ac4r d4r4 84r : $g;&8d;$a:'

La AASTHO r4c m;4$da A6 *' J r4a d4 :a : 6a ;$ 4r; r c m m;$;m ' Ar4a L 6a 7+*'** cm2

A6 *'-* cm2 O .

P r : &a$& > A = 34.87 %*2

a (A6' , )/(*' + ,c ) a -'7+ cm &6 +*'** cm O .

c a/*' + c 5'2 cm

c/d *'7+5 *' 2 O .C :c8: d4: E69ac;am;4$& > S A6 /A6

S *'7+ m #- 1 0.15 *E$ L 6a I$ 4r; r

Ac4r M ;m >

*' +@*'*+(( ,c@2 *)/5*) 9ara ,c 2 * Kg/cm2# 7 *' +*

c a/`7 5'2 cm-'2% cm

*'7+5 *' 2 O .

Ac4r M $;m >La ca$&;dad d4 ac4r 9r 9 rc; $ad d4 4 64r ca9a d4 r46;6&;r 4: m4$ r 3a: r

7-' 2 T@mS;4$d >

%%'-% Kg/cm2S 2/- 7#--5 cm%

^m;$^m;$

^m;$

U$a 64cc; c /d 4 *' 2

C m 7

d4c/d4

d4 7'2Mcr 7'%%M8>

a) 7'2Mcr 7'2 r S 7'2(%%'-% Kg/cm2)(%%#5+* cm%)

r *'-% c MPa 2'*7 c _g/cm2 2'*7 2 * Kg/cm2

=1m [1 1 2mKufy ]


40/54

) 7'%% M8 7'%%( +' - T@m) 52'+ T@m ='d d @ /%

E: m4$ r 3a: r 46 7%'-2 T@m :a ca$&;dad d4 ac4r ca:c8:ada (%%'2+ cm2)r46;6&4 M8 + '+ T@m 7-' 2 T@m O .

Ra$g M ;A) O D PA T()( N

J carga 94rma

J 7 '* J E: m m4$&

A = 6.66 %*2

U&;:; a$d 3ar;::a6 +/ # :a 649arac; 6 E: 46 84r

% 1."8 d$ %*. = 1.5"

6 *'%* m #- 5 8 0.30 *

A) O D T MP AT A L84g # 4: 4


E: 46 84r'** cm2 9 r carga6'** cm2 9 r Ca9a

U&;:; a$d 3ar;::a6 7/2 # :a 649arac; 6

2 1.27 d$ %*. = 1.27E: ra$g :

6 *'7 m #- 1 2 0.15 *

7'+* m*'+* m O . C $ r/

4$ :a 9ar&4 6894r; r d4 :a : 6a# 4$ am 6 64$&;d 6'

! A ()AU6ar 7/21 b 7+ cm U6ar 7/21 b 7+ cm D9 e de #

T4m94ra&8ra T4m94ra&8ra

U6ar +/ 1 b %* cm U6ar 71 b 7+ cmR49ar& L $g;&8d;$a:


LL

9 r

75+*/ S +*J

A -e+#-t = MDL M DC

Ar/A6r49ar&

A $ %* 2. = DL M DL/(

c4r '

A6&4m9 m $ * 0 F A6&4m9

A6&4m9 A6&4m9

m LL 0 Ar/A6&4m9

E: ra$g d4A $ %* 2. =

7 5 Sm %& Sm

Sm

ac4r # : m;&4

: m;&4

5/8"

1/2"


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Para 4: ac4r 9r;$c;9a: 9 6;&;3 (d;r4cc;Ca:c8: d4: m

%'55 cm S4cc; $ 7+ cm Bara$da$3 7 N d4 3ar;::a6 7

2 A 7* '-2 cm2

Z %*#*** N/mm (c $d;c;$.Ar

*'+- cm2 U&;:; a$d 3ar

r4a d4 ac4r &ra$6 rmada>

r4:ac;


42/54

I ++5 - cm2

L84g >2%*5 Kg/cm2

2%*5 Kg/cm2 2+2* Kg/cm2O .

$.2 #t9g#

2 '-* T@m 7 ' T 7 ' T %'- T'* m '% m

Para 4: D;64 9 r Fa&;ga# c $7

'* m '* m


2+'+% T@m5'* T@m/m

$.2 Se%%9 n 9 u-#d#S4 8&;:; a :a 64cc;


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44/54

m4$& d4: 946 9r 9; >

D;m4$c; $46 Carga (T$) Bra (m)7'* *'7+ *'7+* *'++* *'* %*'++ *'7+ 2' * *'7 *'%2+ *'*-

*'++ *'*+ 2' */2 *'*%% *'275 *'**53 = *'7+

*'7+ T@m

6 r4carga>*'*55 T@m

Im9ac& >*'** T@m

D;64 >*'%27 T@m

>++ cm

d 77 cm %+-7 ' 5 Kg@cm'

*'*7 *'*7

c8a$&;a 64r > = *'**7m 6 :a c8a$&;a a:a$c4ada> 5 = *'*-*

c8a$&;a ma ;ma 46&a dad 5 = *'* + a$&;a m;$;ma 46&a dad 9 r *'**%

9r a$d 84 m 7 O .9r a$d 84 8 m9n .. N c8m9:4

lando Asw

A6 5 # = 2'*+ cm2E$& $c46

;::a6 %/ # :a 649arac;

7 0.71 d$ %*. = 0."5

ac;mam;4$& 6 7 '*- m #- 3 8 0.1" *

@

MD

ML

M; *'7* M L MU

MU 7'2 M D07'- (ML0M;) MU

M$ M 8/ M$

M$ / ,c d]2 E$& $c46: =

m9n =

4$& $c46 86a$d 1 m;$1

8:a$d A 6V A6 A 6m;$ @@@@@@@@@# c8m9:4 & mar4m 6 A6

Ar/A6&4m9

A $ %* 2. =

.

0."

..

.

.

.

3/8"


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FACTORES ' DE RESISTENCIA


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Diseño de Pontones Lrfd Completo

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