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8/10/2019 Diseo de Pontones Lrfd Completo
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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 =
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D(S /O D ST (&OS : P NT )A O A&L L = 4.00 M AM&OSST (&OS
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
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D(S /O D ST (&OS : P NT )A O A&L L = 4.00 M AM&OSST (&OS
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
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D(S /O D ST (&OS : P NT )A O A&L L = 4.00 M AM&OSST (&OS
D . ( 0 % . , ) / ( 0 2 , ) / % 7'%2
ue- # e-t9%# e #%tu#nte :
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
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D(S /O D ST (&OS : P NT )A O A&L L = 4.00 M AM&OSST (&OS
; ( ()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%***))/%* *'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
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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 =
8/10/2019 Diseo de Pontones Lrfd Completo
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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"
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^ *'**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$a 64cc; c /d 4 *' 2
C m 7
d4c/d4
d4 7'2Mcr 7'%%M8>
a) 7'2Mcr 7'2 r S 7'2(%%'-% Kg/cm2)(%%#5+* cm%)
r *'-% c MPa 2'*7 c _g/cm2 2'*7 2 * Kg/cm2
75+*/[S +*J
=1m [1 1 2mKufy ]
8/10/2019 Diseo de Pontones Lrfd Completo
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A = 6.10 %*2
U&;:; a$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;
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%'+ * 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"
".&&!!$%0.!
'f(/n)
y
c
'*)
'+")
,.-.
8/10/2019 Diseo de Pontones Lrfd Completo
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$.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
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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.!
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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 = 0.50TIPO 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
ANAL(S(S D STA&(L(DAD N LA S ))(ON : A A
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
D(S /O D ST (&OS : P NT )A O A&L L = 5.00 M AM&OSST (&OS
1 =2 =
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D(S /O D ST (&OS : P NT )A O A&L L = 5.00 M AM&OSST (&OS
ue- # e-t9%# e #%tu#nte
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
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D(S /O D ST (&OS : P NT )A O A&L L = 5.00 M AM&OSST (&OS
D . ( 0 % . , ) / ( 0 2 , ) / % 7'57
ue- # e-t9%# e #%tu#nte :
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
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D(S /O D ST (&OS : P NT )A O A&L L = 5.00 M AM&OSST (&OS
; ( ()A)(ON S
1 ;e-9
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Carga 3;3a (LL)> D4 :a Ta :a A# 9ara 34 c8: HL@ %# c $ :a c $6;d4rac;
%7' * T@m
D T M(NA)(FN D L AN)HO )T(;OL7 +'* m 7 m +*** mm7 %'- m m %-** mm
(a$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 2#7+7'-% %-** mm
)AL) LO D LOS )TOS D LA )A !A ;(;AP#-# n# ;I# )#-g#d#
S AS M 14.78 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 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 $X*'5+(LL0IM)Y
S L ))( N D MOD( ()ADO S D )A !A n
Fac& r d4 D8c&; ;:;dad ($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 $(7'2+ DC 0 7'+* D 0 7'5+ (LL 0 IM))Mu = 31.16 Tn *
S ;()(O 1 t#d L9*9teM8 7'*(DC 0 D ) 0 7'* (LL 0 IM)
Mu = 17.76 Tn *
MLL0IM
NL ($ m4r d4 3 a6)
MLL0IM m(Mma .7'%%0M6/c)/E
MLLG(M =
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D(S O
A. D(S O PO STADO L(M(T PO 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'
; ( ()A)(ON D L ;ALO D L P ALT :
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'-+
Kg'/cmQKg'/cmQKg'/cmQ
A $ %* 2. =
M8/( ' 'd']2)
1"
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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
*'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 2 cm U6ar 71 b 75 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 75 cm
$3 7 N d4 3ar;::a6
A 725'22 cm2
Z %*#*** N/mm (c $d;c;
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%' * 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"
".&&!!$%0.!
'f(/n)
y
c
'*)
'+")
,.-.
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$.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
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
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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
ANAL(S(S D STA&(L(DAD N LA S ))(ON : A A
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
D(S /O D ST (&OS : P NT )A O A&L L = 8.00 M AM&OSST (&OS
1 =2 =
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D(S /O D ST (&OS : P NT )A O A&L L = 8.00 M AM&OSST (&OS
ue- # e-t9%# e #%tu#nte
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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D(S /O D ST (&OS : P NT )A O A&L L = 8.00 M AM&OSST (&OS
2 t#d : t-9$ % n +uente -e en $-e%#-g#d :P46 9r 9; 77.728"632R4acc;R% +'2 T$
ue- # e-t9%# e #%tu#nte :
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(S /O D ST (&OS : P NT )A O A&L L = 8.00 M AM&OSST (&OS
D . ( 0 % . , ) / ( 0 2 , ) / % 2'55
ue- # e-t9%# e #%tu#nte :
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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D(S /O D ST (&OS : P NT )A O A&L L = 8.00 M AM&OSST (&OS
; ( ()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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Carga 3;3a (LL)> D4 :a Ta :a A# 9ara 34 c8: HL@ %# c $ :a c $6;d4rac;
+ '-2 T@m
D T M(NA)( N D L AN)HO )T(;O
L7 '* m 7 m *** mm7 %'- m m %-** mm
(a$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 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 * *
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 ".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 $X*'5+(LL0IM)Y
S L ))( N D MOD( ()ADO S D )A !A n
Fac& r d4 D8c&; ;:;dad ($D) *' +Fac& r d4 R4d8$da$c;a (NR) 7'*+
S4c& r d4 Im9 r&a$c;a O94r &;ca ($I) 7'*+
$ $D . $R . $7n = 7'*+
MLL0IM
NL ($ m4r d4 3 a6)
MLL0IM m(Mma .7'%%0M6/c)/E
MLLG(M =
MLLG(M =MLLG(M =
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)OM&(NA)( N D )A !AS APL()A&L S
S(ST N)(A 1 t#d L9*9te
M8 $(7'2+ DC 0 7'+* D 0 7'5+ (LL 0 IM))
Mu = 54.58 Tn *S ;()(O 1 t#d L9*9te
M8 7'*(DC 0 D ) 0 7'* (LL 0 IM)Mu = 32.58 Tn *
D(S O
A. D(S O PO STADO L(M(T PO S ;()(O
; ( ()A)( N D P ALT D S ;()(O
M8 %2+5+' 2 Kg'@m
c *' . c 7726 *' . 7- *E6 27*****
Ec 7+*** [ c 2+* '*7$ E6 / Ec '%5
r 6 / c 7+K $/($ 0 r) *'%-
= 7 @ K/% *' 7** cm'
; ( ()A)(ON D L ;ALO D L P ALT :
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'-+
Kg'/cmQKg'/cmQKg'/cmQ
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$a 64cc; c /d 4 *' 2
C m 7
d4c/d4
d4 7'2Mcr 7'%%M8>
a) 7'2Mcr 7'2 r S 7'2(%%'-% Kg/cm2)(%%#5+* cm%)
r *'-% c MPa 2'*7 c _g/cm2 2'*7 2 * Kg/cm2
=1m [1 1 2mKufy ]
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) 7'%% M8 7'%%( +' - T@m) 52'+ T@m ='d d @ /%
E: m4$ 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
*'5+- A6/F [SI]*'**7 Ag [MKS, con f'y= 4200 kg/cm2]
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:
e 9 9@n de 9 u-#%9@n + - D9 t-9$u%9@n de A-*#du-#
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;
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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
C $6;d4ra$d 4: a$c 4 4c&;3 9ara 8$a 6 :a 3 a cargada# IM 7+J
2+'+% T@m5'* T@m/m
$.2 Se%%9 n 9 u-#d#S4 8&;:; a :a 64cc;
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m4$& 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"
8/10/2019 Diseo de Pontones Lrfd Completo
45/54
8/10/2019 Diseo de Pontones Lrfd Completo
46/54
8/10/2019 Diseo de Pontones Lrfd Completo
47/54
8/10/2019 Diseo de Pontones Lrfd Completo
48/54
FACTORES ' DE RESISTENCIA
8/10/2019 Diseo de Pontones Lrfd Completo
49/54
8/10/2019 Diseo de Pontones Lrfd Completo
50/54
8/10/2019 Diseo de Pontones Lrfd Completo
51/54
8/10/2019 Diseo de Pontones Lrfd Completo
52/54
8/10/2019 Diseo de Pontones Lrfd Completo
53/54
8/10/2019 Diseo de Pontones Lrfd Completo
54/54
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