DISEÑO DE PUENTE TIPO VIGA DATOS A CONSIDERAR LUZ DEL PUENTE (m) SOBRECARGA VEHICULAR ANCHO DE CALZADA CALZADA BASE DE LA VIGA DIAFRAGMA
22 m HL-93 7.6 m .2! m 3.63
"#.!2
MATERIALES: RESISTENCIA DEL CONCRETO ($%&) FLUENCIA DEL ACERO ($%,) CARPETA ASFLTICA DENSIDAD DEL CONCRETO DENSIDAD DEL ASFALTO BOMBEO PESO DE LA BARRERA BARRERA
2' .*&m+ #2 .*&m+ .! m 2# .*&m 22# .*&m .2 6 .*&m .*&m
2.# 2.2#
S /0 T/0 C/0 D/0 1/0
2.3 ."! .23 ."! .'
V/0
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I. DISEÑO DE LA LOSA A. PREDIMENSIONAMIENTO DE LA LOSA * Ancho de la viga: 0 450
.!2 .!
m m
REDONDEAR
m80 m80
."6 .2
m m
: &4:
*Eseso! de la losa
". MOMENTO DE #LE$ION POR CAR%AS &'m de ancho(
b.1 Carga Muerta
(DC)
P4;: C:8&4: 0 <=:;>0?@"@2# 0 MDC 0 <=:;>@L2*" 0
DC
2.# T8*m .#' T8*m ."!!!2 T8-m
Ca!ga o! s)e!cie de !odad)!a P4;: A;$>=: 0 D< <>;$>=:0?@"@22! 0 MD< 0 <>;$>:@L2*' 0
2.2# T8*m .""2 T8*m .36 T8-m
b.1 Carga Viva ( tabla A41)
(!!"IM)
4;>&>m48: 484 444; 54 >; 0 M(LLIM) (-)0
267'
M&LL+IM( &,(-
2.73
M(LLIM) ()0
233'
M&LL+IM( &+(-
2.3'
2.3 23
m mm
N-mm mm -m N-mm mm -m
#) C$l#ul% &el a#er% 'ara %et% egativ%
@ R4;;48&> R4;;48&> 0 8("2!DC"!D<"7!(LLIM)) U0
!.3
T-m
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"m U;>4m:; >&4: "*2 R4&m48:0 ! &m
0
Z
0
./01/
&m
5
0
."#
&m
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@ A4> 54= >&4:
=_/(0,9_ (−/2) )=
=(_(∗) _)/(0,85 〖 〗
9.'! &m2
_ )=
′
."76 A; a-
".7# &m
L> ;4>>&J8 ;4K S-
."3 m
2SAR '3'456 7
.'1
m
* As minimo L> &>85>5 54 >&4: ::&:8>5: 544 ;4 &>> 54 4;; 4= m48: >=: 54 M& , ".33M >) M& 0 "."($ S)
48:8&4;
0
2.#7 -m 0
33.63 *&m2
0
6667 &m2
MU !.3
M& 2.#7
O
* Ace!o osi8vo @ R4;;48&> 0 8("2!DC"!D<"7!(LLIM)) U0
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T-m
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5 2.! "m
0
U;>4m:; >&4: "*2 R4&m48:0 ! &m
Z
0
."69
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0
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@ A4> 54= >&4:
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7.2 &m2
=(_(∗) _)/(0,85 〖 〗
_ )=
′
."76 A; a-
".27 &m
L> ;4>>&J8 ;4K S-
."' m
2SAR '3'456 7
.'9
m
* As minimo L> &>85>5 54 >&4: ::&:8>5: 544 ;4 &>> 54 4;; 4= m48: >=: 54 M& , ".33M >) M& 0 "."($ S)
48:8&4;
0
2.#7 -m 0
33.63 *&m2
0
6667 &m2
MU #.#2
M& 2.#7
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As de eme!a)!a: >8&?: :>=
9m 0
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A;4m m8 0
;>m:; 5>m4: 54 3*'
.7" &m2 .3 m
S0
2SAR '31496 7
2.33 &m2
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m
9.2
Q
As de dis!i;)cion:
0 S 0 5;>8&> 484 &>> 54 >; 0 0 A; 5;. 0
'.9 67 #.'3 &m2
USANDO DIAM DE "*2 S0
67
.27 m
m
2SAR '3'456 7
.5<
m
".!#
m
II. DISEÑO DE LA =I%A PRINCIPAL A. PREDIMENSIONAMIENTO ?m8 07 (=)
0
". MOMENTO DE #LE$ION POR CAR%AS 2.3 .2
."! .! Ca!gas m)e!as &DC( < =:;> 0 > 0 &>4=> 0 >dc Mdc -
"."# ".6' .'2' 2.79!
*m *m *m *m
"69.'!#
-m
Ca!gas )n)ales 54 => > 5>$>m> 0 ? 54 => > 5>$>m> 0 P 5>$ 0 M 5>$>m> 0
.2! "."9
m m
".2'!2 *m 7.7 -m MDC -
'<0.'/
Ca!ga o! s)e!cie de !odad)!a <>;$ 0
.26 *m
M >;$ 0
"!.!' T-m
T,m
b.1 M%et%* '%r Carga Viva
(!!"IM)
+ Cai, -!/
3.63
R>,R,0
"#.!2
"#.!2
#.27 #.27
32.67
#.27 &>=&=: 54 1 32.67
() ()
0 0
93 2.'!
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"#.!2
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336.6!# "!.2' "7.39
Mcamion -
''.0B
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T T T-m
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"".3# R>,R,0
22.6'
&>=&=: 54 1 22.6'
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0 0
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23.3'# ".#7
Mca!.diseo-
/<.0
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Enonces el moneo maimo oal:
".33
T>>>m:; &:8 4= m:m48: m>,: 48 4;4 &>;: 4= 54 >8548 &>> > Mma -
HL-93
50. T-m
Caso de )n ca!!il ca!gado: .#6
"."" A0 4 0 I0
67 m2 77 "2!#33
?0 0
0 #97#9733.333 Caso de dos ca!!iles ca!gados: .63
48:8&4; 4= $>&: &&: o! lo ano : M(LLIM) 0
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c. Res)men de los momenos eco!es R4;;48&> S4&: F>>
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D. calc)lo del ace!o !incial. ". ;:8485: 4 & 0 > 0'! & 0 50'! ? 0
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A;" 0
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X 0
0 0
A; @5
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.# CUANTIA .2' Q
48:8&4;
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.279 ".""# &m
Q
2
ENTONCES COMO CUMPLE TRABAWAMOS @ A4> 54= >&4:
=_/(0,9_ (−/2) )=
=(_(∗) _)/(0,85 〖 〗 ′
"7.'7 &m2
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S-
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'.2' &m
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./
m
&m2
C. DISEÑO DE #RANFA DE "ORDE C.". A8&?: 54 $>8> 54 :54; =:858>=4; 54 =:;> E :54
Q
E
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T8*m T8*m
E :540 A>4>3(>8&?: 54 $>> &&:*2) _ E J E:54 A8&?: 54 >4> 0 E :540
m m m m m
m
."6 m YREF m
C.2) M:m48:; 54 [4J8 : &>>; ($>8> 54 ".m 54 >8&?:) @ C>> m4> (DC) <=:;> 0 <> 0
.#' T*m YREF T*m YREF T*m YREF T-m
@ C>> : ;4\&4 54 :5>5> (D<) <>;$ 0 MD 0
YREF *m YREF T8-m
@ C>> > (LL) P>> 8> =]84> 54 45>; 54 K854m (&]&:) , 8> :&J8 >> 54 => &>> 54 ]> 54 3.m 54 >8&?: 54 => T>=> AP^NDICE II-B &:8 => &:8;54>&J8 54 &>> 58Km&> (33) 48 4;>5: =]m4 54 R4;;48&> I m:m48:
3'.33
M LLIM 0
YREF -m
C.3) R4;m48 54 m:m48:; [4&:4; , &4:; LRFD >=&>=4;
C>>
M() T-m
DC D< LL IM
YREF YREF YREF
` S4&: ". ". ".
R4;;a48&> ".2! ".! ".7!
C.#) CK=&=: 54= A&4:
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5
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Z
0
A4> 0
0 0
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.'51
m
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m
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=(_(∗) _)/(0,85 〖 〗 _ )= ′
YREF &m2
."76 A; a-
YREF &m
L> ;4>>&J8 ;4K S-
YREF m
2SAR '3'6 7 .'/m * As mGimo: U8> ;4&&J8 8: ;:4 4$:>5> &m=4 &:8 & *5 _ .#2 C:m: >> $/& 2' * &m
⇒
f" 0
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YREF
&m
C*5 YREF
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.#2 .#2
HRE#
* As minimo: L> &>85>5 54 >&4: ::&:8>5: 544 ;4 &>> 54 4;; 4= m48: >=: 54".2M& , ".33M >) M& 0 "" $ S
J! -
33.63 *&m2
S-
337! &m3
R4m=>>85: "" M& 0 "362"66."'92 -&m "" M& 0 "3.62 8-m ) ".33 M 0
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* As de dis!i;)ciKn: C:4;:854 > => 54&&:8 ;4&85>> , 48 :&48>4 > => >m>5> 8&>= S0 L 54= 484 (mm)
0
"".73
⇒
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;>4m:; A; 0 !*' ;4>>&:8 0
A; !*' YREF
P: =: >8:
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YREF &m2 0
2 &m2 YREF &m
C.!) R4;J8 54 \;>&J8 : 5;&J8 54 >m>5> momeno ac)ane ""e g ."6m
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2.!# &m 3.77 &m
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YREF
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U&>&J8 54= 44 84: 80 E; E& h
E; 0 " M> 0
h
E; 0
h
E& 0 5!00 "#($%& ')
h
E& 0
4m=>85:
⇒
2# M> " *&m2 2# *&m2
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⇒
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⇒
h
#.6# #.6#
C (#"23 - )
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E;$4: 54= >&4: >: &>>; 54 ;4&: 5 0 5-,*3 5 0
=4: 4= 4;$4: 54 >&4: 4; $;; 0
$;; 0
⇒
36.9! &m
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$;; Q .6@$, YREF YREF 2!2 i44 54& 4 4= >&4: ; &:4;:854.
HRE#
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0
YREF ( YREF )
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R>8: mKm: 54 4;$4: E= 4;$4: m]8m: 4; 4= 4;$4: : &>> > m]8m: &:m8 : &>> 4m>8484. E= m:m48: : &>> m4> >> 8> $>8> 8 0 ."!!!2 E= 4;$4: : &>> 4m>8484 4; 0
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P: ;4 => =:;> ;m=4m484 >:,>5> 4= 4;$4 L4: 4= 4;$4: m]8m: 4;
$ m]8 0
YREF
E= 4;$4: mKm: 4; 4= 4;$4: : &>> > : &>>; 4m>8484;
$ mK 0
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$ =]m4 0 "6'7
-
$ =]m4 0 YREF *&m2
DISTRIBUCIN DE ACERO EN LOSA
(
YREF
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:
CON VIGA RECTANGULAR
@ S4&: U 0 8b".DC".D<".(LLIM)c U;40 8-m @ F>> U 0 8b".!(LLIM)c U$>0 YREF 8-m
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f; 0
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