CALCULO LOSA L=8.00ML IMP.xlsx

8/18/2019 CALCULO LOSA L=8.00ML IMP.xlsx

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DISEÑO PUENTE LOSASEGÚN MANUAL DE DISEÑO DE PUENTES - DGCF

PROYECTO : CONSTRUCCIÓN DEL PUENTE CARROZABLE QUIOMAYO

PROYECTISTA : ING. MARISOL GABRIELA OCHOA HUÁRAC

CAMION DISEÑO HL - 93 Aprob!o "o# R$%o&'"(o# M(#(%)$r(& N* +,9-3-MTC

DATOS ANCHO DE CARRIL +. 2) ANCHO DE EREDA .4+ 2)ESPESOR EREDA . 2)

MATERIALESCONCRETO ,. 56/"2 ACERO CORRUGADO 78. 56/"2CARP. ASALTO .4+ 2)

A.- CHEQUEO DEL ESPESOR MINIMO DE LOSA P'$#)$ %(2pLUZ DEL PUENTE L = 8.00 mESPESOR LOSA ) ;22< = 0.;S>3 .7 ;L0 F 0 .0 ;L0 F 0


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0, 22

U%& L$ = 8000 mm

0= A#"o )o)& 2o!(@("! = 2(#(2o &or !$ &o %(6'($#)$+ 22 O/0, 22

U%& 1$ = 2500 mm

=I#);A#"o !$ "rr(&/3.<

0 Crr(&

E= 9+.33 22E= .9+ 2

C.- APLICACIN DE CARGA #I#A EN PUENTES LOSA

$.- C&%( M%6*m:

*7 C%m*(

7P = 07.4,L = ,.

7.3

B

A B=;L-!0< F A / L

A = 0.

B = .7+

!(%)#"( $#)r$ $$ !$&#)$ro $ (#)$r2$!(o ; 07 < 7.4

!(%). $#)r$ $$ (#)$r2$!(o : po%)$r(or ; 07 - 3 < 7.4

0. T#

**7 T%(m

00.0. ! = 0.

C D D=;L-!< F C / L

C = 0.

NL =N* !$ "rr(&$% !$ !(%$Jo

NL =

4P 4P !

0 =

!0 = !

0 =

! = !

=

A "2(K# = 7P F A > 7P F B

A "2(K# =

4P$ 4P$7P0 =

L

L-!0!0

L-! !


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D = .,+

.4 T#

***7 C%&&*+ = .9

1 = 0.920 T(m

8.000 2

3.,7 T#

R'm( :# A )%m*( = 0. T# O/ GO!IERNA# A %(m = .4 T#

# A )%&&*+ = 3.,7 T#

F%)& Im;%)

. I. = 0 > IM/0

IM 33

. I. = 0.33 No %$ p&(" & "r6 !$ "rr(& ;r$pr)(!<

LL = 3.+9 T#

3.- Mm( F+6*( m%6*m:

*7 C%m*(

CL7P = 07.4,

L = ,.

4P 7.3 # #

!0 R = ,P Y

7P;L/-#< > 7P;L/-# > !0B R$%o&($#!o

# =

A )#!$2 = 7P0 F C > 7P0 F D

A )#!$2 =

A "rr(& = ; F L< /

A "rr(& =

LL = A 2:or > A

4P R !0 =

;!0


4/71

= ;L/-#< F ;L/>#< / L

!(%)#"( $#)r$ $$ !$&#)$ro $ (#)$r2$!(o ; 07 < 7.4

!(%). $#)r$ $$ (#)$r2$!(o : po%)$r(or ; 07 - 3 < 7.4# = !(%)#"( !$& "$#)ro !$ &'? & %$""(K# !o#!$ %$ pro!'"$ $& Mo2$#)o &$")or

# = # = 0.4+

= 0.,+++

Y = .973

30.4, T# F 2

**7 T%(m

CL00.

L = ,.0.

# #

0. 2 Z

G 7P;L/-#< > 7P;L/-# > !#< / L

Z=;L/>#-!< F G / ;L/>#<

# = 0. # = .3

G = 0.9,,,

Z = 0.733,

3,.33 T# F 2

***7 C%&&*+ = .9

1 = 0.920 T(m

8.000 2

Y=;L/>#-!0< F / ;L/>#

S$6# BARET8 "&"'&o !$ ( !

0 = !

0 =

! = !

=

;!0#L/-#


5/71

/,

4., T# F 2

R'm( :M A )%m*( = 30.4, T# F 2 M A %(m = 3,.33 T# F 2 O/ GO!IERNA

M A )%&&*+ = 4., T# F 2

F%)& Im;%)

. I. = 0 > IM/0

IM 33

. I. = 0.33 No %$ p&(" & "r6 !$ "rr(& ;r$pr)(!<

M LL = +,. T# F 2

D.- SELECCIN DE FACTORES DE RESISTENCIA

E% +*m* &*()*% φ&$F(K# : )r""(K# .9

Cor)$ : )or%(K# .9

E.- SELECCIN DE MODIFICADORES DE CARGA

R*()*% S& D0.;LL > IM< > .3;S>L0.R

FATIGA E% L*m*U = .4+ ;LL>IM<

M A "rr(& = ; F L< / ,

M A "rr(& = F L

M A "rr(& =

M LL = M A 2:or > M A

# D# R# L

# = # D F # R F # L

U = # ;0.+DC > 0.+D>0.4+;LL > IM< > 0.R > g TG TG


6/71

G.- CALCULO DE LOS EFECTOS DE LA CARGA #I#A 6 $m. DE LOSA

$.- F&%(% I(&*& Cor)$ : 2o2$#)o por "rr(&8 pr)$ C.0 : C.. Cor)$ : 2o2$#)o por 2$)ro !$ #"o !$ @r# $% "r()("o

Pr '# "rr(& "r6!o E = 3.49 2 Pr !o% o 2% "rr(&$% "r6!o% E = .9+ 2 O/

Por &o )#)o $% "r()("o pr E = .9+ 2

3.+9= 0.99 T#-2/2

.9+

+,.= 09.4, T#-2/2

.9+

3.- F&%(% >&

A#"o !$ @r# !$ bor!$ &o#6()'!(#& pr '# &o2 !$ &&#)%=D(%)#"( !$& bor!$ !$ $r$!>.3 2

.+33 2 0.,

0., 2

;0/< F 3.+9 F 0.= 0.,

0.,

;0/< F +,. F 0.

= 09.++0.,

H.- EFECTO DE OTRAS CARGAS

$.- F&%(% I(&*& $.00 %()? P$%o E%p$"(

P +% +%:

0.03

7.+

9.

F''&P$%o E%p

P )%;% %@%+:

.04

LL>IM =

MLL>IM =

ELB = A#"o $r$! > .3 > .+ F E "r()("o

ELB =

ELB =

LL>IM =

MLL>IM =

DC =A#"o F $%p$%or &oDC =

DC =;0/< F DC F LDC =

MDC =DC F L/,MDC =

D =A#"o F $%p$%or

D =

D =;0/< F D F L


7/71

.,

0.3+

3.- F&%(% >&

P ;&;*

PP &o% P$%o $%p$"(@("o "o#"r$)o F E%p$%or &o% F A#"o '#()r(o = 0.0+Br#! 2$)&(" ;.7 T#/2< = .7$r$! = .,

$.BB

.93

03.,4

P )%;% %@%+:

.0

.39

.49

I.- IN#ESTIGUEMOS EL ESTADO LIMITE DE SER#ICIO

$. D'&%>*+*%

R$"'br(2($#)o !$ "$ro %'p$r(or ;!$%6%)$


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.9+ 0.+0.+ 0.+0.+ 0.4+

0.+

RESUMEN

F&%(% I(&*& F&%(% !&9. T# - 2 03.,40.3+ T# - 2 .49

09.4, T#-2/2 09.++

%7 Mm( - @&%(% *(&*& %7 Mm( - !&

+.0 T# - 2 / 2 ++.3 O5

++.3 T# - 2 / 2

= A% F :

...0 A% =M'

.,+ F @" F b

!= &o%-;r$"'br(2$(#)o>!(2$)ro "$ro (#@$r(or / < != 70.3

D$ 0 : %$ ob)($#$

= 333.+3b = -0++8,79.7" = +8+389.04

R$%o($#!o & E"'"(K# "'!r)("

7,.7

3,.3

E&$6(2o%

A% = 3,.3

φ ( '(.7 S )m70/ 0.4 30 3.3+/, 0.9, +.3/7 .,+ 07 4.074/, 3.,, 0 0.0 +.4 , 0.+ O/

0 0/, .70 4 07.90 0/7 4.9 + .

U%&m :$ 0.+ "2

ACERO TRANS#ERSAL O DE REPARTICIN

#D = γ DC =#R = γ D =#L = γ LL-IM =

#=#D F #R F #L =

MDC= MDC=M

D= M

D=

MLL>IM

= MLL>IM

=

M(#)$r(or = # Sγ (Q( =# ;γ DC MDC>γ D MD>γ LL-IM MLL>IM< Mbor!$ = # Sγ (Q( =# ;γ DC MDC>γ D I M(#)$r(or = Mbor!$ =

E&$6(2o% $& M'2F

=

φ : ;!-/<

A%;: φ< / ;0.4 @" b< - A%;φ:!< > M' =

A% > b A% > " =

A%0 = "2

A% = "2

"2

A )m3

7

φ =


9/71

09.+4 O5 A%r = +

09.+4

4.+

φ ( '(.7 S )m70/ 0.4 0.4+/, 0.9, 7 +. O/3/7 .,+ 3 33.334/, 3.,, +.0 +.4 +.

0 0/, .70 +.0 0/7 4.9 0 0.

U%&m :58 +. "2


,.0 E# !ob&$ %$#)(!o

7.+ Por %$#)(!o

φ ( '(.7 S )m70/ 0.4 7 +. O/+/, 0.9, 3 33.333/7 .,+ +.4/, 3.,, +.0 +.4 0 0.

0 0/, .70 0 0.0 0/7 4.9 0 0.

U%&m :$3 +. "2

CL

4P

A C

B

ASR =04+/;L


10/71

@% = 87@: .r = @% / @" VDI/W

E% = .E>

# = E%/E" = VDI/WU%r # = VDI/WX = # / ;# > r< VDI/W = 0 - X / 3 VDI/W@"X = VDI/W

!.- DISEÑO DE LA LOSA$. METRADO DE CARGAS

P$%o prop(o ;02P& = .400 T(

$.3 P& = 8.880 T( ====>. Mm( ;& >&)%&,%

#ALUE T(-mm

56/"2

56/"2

E" = 0+8 ;@"


11/71

). Mm( ;& Im;%)

I = VALUEW VALUEW .3To22o% == I = #ALUE

Mo2$#)o por I2p")o=IM #ALUE T(-mm

3. #ERIFICACION DEL PERALTE

H&&#!o &o% 2o2$#)o% por %$r("(oM = #ALUE T(-mm

E& p$r&)$ 2#(2o $%

! r$. = 7. "2

r$"'br. = .+7 "2$%)r(bo = 3/, .9+3 "2

! = ) - r$". - $%)./ ! %'2. = 70.9,7 "2

S$ !$b$ "'2p&(r ! %'2. ! r$ $.00 CALCULO O/

B. DISEÑO POR SER#ICIO

A% = M%/;@%!< A% = VALUEW$r(@("#!o & "'#) 2#(2

A% 2# = 07b!/@: A% 2# = VDI/W A% 2# A% DI#0 DI#0

Tm%m DI#0C&"'&o !$& $%p"(2($#)o

S( "o#%(!$r2o% "$ro +/, 0.949

E& 2$#or !$ &o% )r$% = VDI/W "208+) = 4.+ "27+ "2 7+. "2

U%& %)& 58 J = $5.00 )m

4. DISEÑO POR ROTURA S$ '%r &o% @")or$% !$ Cr6 : Co2b(#"(K# %$6# $& E%)!o

M' = $.B 1 K $.2 1+ K 1* 77;%&% F+6*( T&%))*( C()& A&m%

%. A)& P&*()*;%+%.$ A)& ;**/- = 083;MD>0.4;ML>MI


12/71

C&"'&o !$& $%p"(2($#)o

S( "o#%(!$r2o% "$ro +/, 0.949E& 2$#or !$ &o% )r$% = VDI/W "2

08+) = 4.+ "27+ "2 7+. "2

U%& %)& 58 J = $2.00 )m

>. A)& ;& *&*>')*(

S($#!o !o#!$ ;**


13/71

C&"'&o !$& $%p"(2($#)o

S( "o#%(!$r2o% "$ro 0/ 0.4 = VALUEW "2

U%& %)& $3 J = $5.00 )mS$ "o&o"r $# $& %$#)(!o p$rp$#!("'&r & "$ro pr(#"(p& ;(#@$r(or<

). A)& m;&%'&% )(&%))*(S($2pr$ '$ #o $F(%) o)ro r$@'$r?o

A%) = 0/,

A%) = .7

Co2o $% $#2& A = 3.242C&"'&o !$& $%p"(2($#)o

S( "o#%(!$r2o% "$ro 3/, .403E& 2$#or !$ &o% )r$% = .930 "2

3) = 03+. "27+ "2 7+. "2

U%& %)& B8 J = 32.00 )mS$ "o&o"r $# $& %$#)(!o p$rp$#!("'&r & r$@'$r?o pr(#"(p& ;%'p$r(or<

C.- DISEÑO DE TRAMO EN #OLADIO

$. METRADOS DE CARGAS%. Mm( ;& ; ;&;*

S))*( M*% M*% C%&,%T(7 D*%()*% 0 87+8 (6 VALUEW VALUEW 88+ ';6>#< . .3 8+8+/ ?;6># 007 2 E = 8,33 > 007 22

= Aφb/A)

Aφ = "2

p'&6/p($

"2/2

)m3 m

= Aφb/A)

Aφ = "2

MD =

ML =

0

" ?0

#6

)'

(

3

7

+

P&

p

8+


14/71

E = .,9Pr = P$%o !$ & r'$! 2p&(@("!o por Pr = 7.77

-$.492). Mm( ;& *m;%)

M( = IM& #ALUET(-mm

3. DISEÑO POR SER#ICIO :

M = #ALUE T(-mm

A% = M%/;@%!< A% = VALUEW$r(@("#!o & "'#) 2#(2

A% 2# = 07b!/@: A% 2# = VDI/W A% 2# A% DI#0 DI#0

Tm%m DI#0C&"'&o !$& $%p"(2($#)o

S( "o#%(!$r2o% "$ro +/, 0.949E& 2$#or !$ &o% )r$% = VDI/W "2

08+) = 4.+ "2

ML =

MI =

M% = MD > M

L > M

I

"2/2

"2/2

A = )m3 m

= Aφb/A)

Aφ = "2


15/71

7+ "2 7+. "2U%& %)& 58 J = B0.00 )m

B. DISEÑO POR ROTURA%. A)& P**


16/71

S$ "o&o"r $# $& %$#)(!o p$rp$#!("'&r : pr&$&o & %$#)(!o !$& )r#%()o ;%'p

D.- DISEÑO DE #EREDASDISEÑO POR FLEION

$. METRADOS DE CARGAS

%. Mm( ;& ; ;&;*S))*( M*% M*% C%&,%T(7 *%()*% m0 87+8 (6 VALUEW .4+ P%2. 80+8+ p VALUEW .34+4 Po%);8+>8. Mm( ;& >&)%&,%

D$b(!o "r6 or(?o#)& %obr$ po%)$ : p$)o#$%M& = Mpo%) > Mp$)Mpo%) = P ;84-8+/>80+/<Mp$) = %/";8787/<

!o#!$ P = CP/

P = 08. &bC = 0.

MD =


17/71

P = ., T#

P$)o#& %/" = 43.4

P$)o#& %/" = .3L %obr$"r6 )2b($# %$ @$") por $& @")or !$ ( '$ $% !$ 0.

P$)o#& - ")or 0.%/" = .73Mpo%) = 0.747 T#-2/2

!$b(!o & !(%)r(b'". !$ &o% po%)$% %$ )o2 $& , Mpo%) = 0.049 T#-2/2Mp$) = .3+ T#-2/2

$.3$4 T(-mm3. #ERIFICACION DEL PERALTE

H&&#!o &o% 2o2$#)o% por %$rVALUEW T#-2/2

E& p$r&)$ 2#(2o $%

! r$. = VALUEW "2"o#%(!$r#!o r$"'br(2($#)o !$ 3 "2. : %'po#($#!o $& $2p&$o !$ @($rro !$ 0/ ;084 "2ω/084< ω = ρ@:/@" ρ = A%/;b!<

ω0 = ;084>;084-7;084M'/;φ@"b!


18/71

>. A)& ;& *&*>')*(

S($#!o !o#!$

A%p A"$ro pr(#"(p& #$6)(o A%p = VDI/WL &'? $@$")( !$& o&!o ;8++


19/71

A%) = .7

Co2o $% $#2&&!o8 A = 3.242C&"'&o !$& $%p"(2($#)o

S( "o#%(!$r2o% "$ro 3/ .403E& 2$#or !$ &o% )r$% = .930 "2

36 = . "27+ "2 7+. "2U%& %)& B8 J= 35.00 )m

S$ "o&o"r $# $& %$#)(!o p$rp$#!("'&r : pr&$&o & %$#)(!o !$& )r#%()o ;%'p$r(or<. C?' ;& )&%(

Cr6 2'$r) = ! = VALUEW T#/2%/" ;#"o=87 2< = & = .043 T#/2

' = VALUEW T#/2'$r? "or)#)$ '$ b%orb$ $& "o#"r$)o

" = . T#/2. T#/2

. VALUEW #ALUE

D.$ DISEÑO DE SARDINEL%. Mm( ;& >&)%&,%

AASHTO = +. Lb/p($D$b(!o & "r6 &)$r& !$ 4 56/2 = .4 T#/2

H = 6 > # = . 2USAR H = . 2

M = H M = .09 T#-2/2

M' = 0.BBB T(-mm

E%) %$""(K# )($#$ '# p$r&)$ !$ proF. ;"2< . r$"'b. = +. = -5.00 = A%@:/;8,+@"b<

VDI/W

VDI/W

VDI/W

VALUEW

U%2o% VDI/W =$r(@("#!o & "'#) 2#(2

A% 2# = 07b!/@: A% 2# = VDI/W A% 2# A% DI#0 DI#0Tm%m A = DI#0

C&"'&o !$& $%p"(2($#)o = A@b/A)

S( "o#%(!$r2o% "$ro 0/ 0.4 = VDI/W "2

U%& %)& $3 J = $9.00 )m

>. C?' ;& )&%(

Cor)#)$ por %obr$"r6 = .4 T#/2' = 0.33 T#/2

"2/2

)m3 m

= Aφb/A)

Aφ = "2

' = 08+D>0.4+;

L>

I<

" =8+3;@"0.4+;M

L>M

I0.4+;L

>I

<

L =


20/71

'$r? "or)#)$ '$ b%orb$ $& "o#"r$)o

" = . T#/2. T#/2

. 0.33

E.- DISEÑO DE #IGA PRINCIPAL AREA DE INLUENCIA DE IGA

" =8+3;@"


21/71

$. MOMENTO POR PESO PROPIO

E+m( M*% m7 M*% C&o% = 8;8>87>.0/< );>b\>S/#


22/71

!o#!$ P = ,80+4. Lb P = 384.0+ 56

Por Br$) M %/" = 07.+ T#-2E# "$#)ro !$ L' M %/" = 9. T#-2

C&"'&o !$& "o$@("($#)$ !$ "o#"$#)r"(K# !$ "r6% = = .0

VALUEWPor Br$) M ) = #ALUE T(-m

E# "$#)ro !$ L'? M ) = #ALUE T(-m

3.3.- SO!RECARGA EQUI#ALENTE

,.0+ T# = 7+ Lb/p($ = .9 T#/2Por Br$) M $ = 3.79 T#-2E# "$#)ro !$ L'? M $ = 7.9 T#-2

Por (6 = M $/Por Br$) M = $$.234 T(-m

E# "$#)ro !$ L'? M = $3.004 T(-m3.B- CARGAS POR E"E TANDEM

00. T#

0. 2Por Br$) M $) = 34.,+4 T#-2

E# "$#)ro !$ L'? M $) = 3,., T#-2

Por (6 = M $/Por Br$) M = $8.939 T(-m

E# "$#)ro !$ L'? M = $9.040 T(-mTOMANDO EL MAYOR MOMENTO M+ 7

P& !%& : #ALUE T(-m

E( )(& L' T(-m

B.0 MOMENTO POR IMPACTOI = 0+87/;L>3,< = 83 I = .330

I = .3To22o% == I = .3

Mo2$#)o !$ (2p")oP& !%& : #ALUE T(-m

E( )(& L' #ALUE T(-m

E$- DISEÑO POR SER#ICIO#IGA TD$)$r2(#2o% b E& 2$#or !$ &o% )r$%

b = L/7 b = . 2;b - b\


23/71

Por Br$) M' = VALUEW T#-2E# "$#)ro !$ L' M' = T#-2

Tm%( + m%& Mm( M' 7 : M' = #ALUE T(-m Ar$ !$ "$ro

= A%@:/;8,+@"b<

VALUEW

VALUEW

VALUEW

VALUEW

U%2o% A% = VALUEWD(%)r(b'"(K# !$& A"$ro

S( "o#%(!$r2o% "$ro 0 +.4V brr% = VALUEW brr%

U%&m : $2.000 >%&&% $S$ '%r $# "p%8 L 0r "p %$r B.000 P'$)$%

L ! "p %$r 3.000 P'$)$%

Pr $r(@("r $& #"o 2(# !$ & (6 pr(#"(p& %$ "&"'&r $& !(2$)ro !$ "$5.080 )m

A% = ,0.43

L !(%)#"( or(?o#)& $#)r$ p'$)$% !$ brr% #o %$r 2$#or '$ 4.08+ T.M.6r$6!o = 3.4+

!(%)#"( $#)r$ brr% = $ = 4. "2r$"'br(2($#)o &)$r& = r$" = ;0.+< = 3.4+ "2

3/, .9+ "2

A#"o 2#(2o !$ & (6 b = 39.,,+ "20.000 RECALCULAR

EB-#ERIFICACIONES

$. #&*@*)%)*( + ;&%+Por Br$) M% = VALUEW T#-2E# M% = T#-2To2#!o $& 2:or Mo2 ;M%< M = #ALUE T(-m

= #ALUE )mH = VREW "2

! H - 03 "2 = VREW "2 #ALUE3. #&*@*)%( +% )'%(%

C&"'&o !$ & "'#) b&#"$!

A% = M / ;φ@:;!-/%&&% <

=

"2

08+ φbrr

=

φ$%)r(bo = A#"o 2#(2o !$ & (6 b = r$">φ$%)>;V brr%-0Vbrr%φbrr

M% = MD > M

L > M

I

! = ;M%/;@"Xb


24/71

VDI/W

S($#!o VDI/W& "'#) !$ & (6 $% A%/;b!<

VALUEW #ALUE#ALUE

B. P%&% ( ++08 ;r/<

@ @ = 56/"2

@ @ ∆@

@%2F = Z/;!"A !! #D =

L = ;P/L+C""


25/71

00.497 T# = 7+ Lb/p( = .9 T#/2

+.,94 T#

.97, T#. P& S>&)%&,% E T%(m

9.+ T#

7.4 T#

To2#!o $& 2:or Cor)$ ; & < #ALUE T(. P& Im;%)

#ALUE T(@. DISEÑO POR ROTURA

#' = #ALUET(E%@'$r?o "or)#)$ &)(2o

#ALUE

L $ = P

;L-;L-


26/71

E%@'$r?o "or)#)$ r$%(%)$#)$ !$ "o#"r$)o

VALUEW

'!/M' = VALUEW USAR =

pr $%@'$r?o !$ "or)$ .,+

#ALUE

#ALUE

#ALUE #ALUE

A = .+37

S = VALUEW "2++. "2

VALUEW

C+)%& &*> $3 $ J 0.05 $0 J 0.30 J 0.B0 R J 0.

8. ACERO LATERAL C'#!o & (6 )($#$ 2% !$ ;80 2< !$ &)o

8.$0

E& $%p"(2($#)o $#)r$ brr% E& 2$#or !$ 3 "2 = 3. "2b\ = . "2

U%m S = B0.000 )mN'2$ro !$ @($rr V @($rro% = ;H - 0+


27/71

M;; =

3.0 MOMENTO POR SO!RECARGA E IMPACTO SC 7 K I *m;%)M %/" = P b = VALUEW To# - 2 P =

M ) = #ALUE T( - mVALUEW

Mm( %+ = M = M ;; K M )

M = #ALUE T( - m#ALUE

B.0 DISEÑO POR SER#ICIOM = #ALUE T( - m


28/71

@% = 87@: 56/"2r = @% / @" VDI/WE% = 56/"2E" = 0+8 ;@" 56/"2# = E%/E" = VDI/WU%r # = VDI/WX = # / ;# > r< VDI/W

= 0 - X / 3 VDI/W@"X = VDI/W

%. #ERIFICACION DEL PERALTE

H&&#!o &o% 2o2$#)o% por %$r("(oM = #ALUE T(-mm

E& p$r&)$ 2#(2o $%

! r$. = VALUEW "2

r$"'br. = .+7 "2$%)r(bo = 3/, .9+3 "2

! = ) - r$". - $%)./ ! %'2. = VREW "2S$ !$b$ "'2p&(r ! %'2. ! r$ REF REF

>. DISEÑO POR SER#ICIO

A% = M%/;@%!< A% = VALUEW$r(@("#!o & "'#) 2#(2

A% 2# = 07b!/@: A% 2# = VREW A% 2# A% REF REF

Tm%m REF

S( "o#%(!$r2o% "$ro +/, 0.949U%& %)& 58 REF >%&&%

E(() *( ' '%&% 4 >%&&% %

4.0 DISEÑO POR ROTURA$.0 A)& P&*()*;%+$.$ A)& ;**ω/084< ω = ρ@:/@" ρ = A%/;b!<

ω0 = ;084>;084-7;084M'/;φ@"b!


29/71

V brr% = 7 brr% $#

A% = 4.904

L !(%)#"( $#)r$ brr% pr&$&% %$r #o 2$#or '$08+ T.M.6r$ .3,

!(%)#"( $#)r$ brr% = $ = .3,r$"'br(2($#)o &)$r& = r$" = ;< = 7.7+

3/, .9+

A#"o 2#(2o !$ & (6 b = 7.,,4+0.000

U%& %)& 58 3 >%&&%

U%& E&*> B8 J 0.$5REF

! U%& %)& $3 3 >%&&%

U%& %)& 58 4 >%&&% !"

b b0.000

"2

08+ φbrr

=

φ$%)r(bo = A#"o 2#(2o !$ & (6 b = r$">φ$%)>;V


30/71

/ !$& 30 !$ 1'&(o !$& 3

&$2$#)$ po:!o

"2


31/71

T#2

2

2

2

T#2


32/71

T#/2

T#2

2

< = R;L/>#


33/71

2

2 MF(2o %$6# Br$)

T#22

= R;L/>#<

T#/2


34/71


35/71

r

;0/


36/71

T#

T# - 2

T#/2T#/2T#/2T(m

T#

T# - 2

T# - 2

T#

T# - 2


37/71

T# - 2T# - 2T#/2

T# - 2 / 2

...

"2

MD

>γ LL-IM

MLL>IM


38/71


39/71

C%&,%


40/71

L(2()$ S(6'($#)$

VALUEW

DI#0

&)$ %$r "o2o 2F(2o

%(!$rr $& ($#)o


41/71

o


42/71

Mm(VALUEW T#-2/2

. T#-2/2. T#-2/2

. T#-2/2VALUEW T#-2/2VALUEW T#-2/2VALUEW T#-2/2

#ALUE T(-mm

0 = 3 "2

0


43/71

2T#

T(-mm


44/71

VALUEW

VALUEW "2

o


45/71

r(or<

Mm(VALUEW T#-2/2

T#-2/2.03 T#-2/2

#ALUE T(-mm


46/71

&)$ %$r "o2o 2F(2o

VALUEW

VALUEW "2


47/71

o


48/71

#ALUE

!IEN

"2)m

VDI/W

VDI/W "2

H = 6 > # 0

% !$ &% r'$!%8 $%)$ $% $& #("o!!.


49/71

0.000 AUMENTAR EL PER


50/71

%&,%T#/2T#/2T#/2T#/2

T#/2T#/2T#/2T#/2T(m

2

2 MF(2o %$6# Br$)

2

22

VREW T#

A m +% *.

M#


51/71

2

#ALUE #ALUE


52/71

VALUEW

b !$b$ %$r 2:or

VALUEW

= VALUEW "2

.+7 "2

4 >%&&% $3 >%&&% $

ro $'(&$#)$ & p'$)$

"2"2

#ALUE

.,+

φbrr

=

β0 =


53/71

VDI/W

#ALUE#ALUE

#ALUE

!IEN

%'2(r r/ = .3

C$#)ro(!$ !$& r$@' !"

b0.000

C""0 = VALUEW

84@"[0//@:=


54/71


55/71

#ALUE

.

.

VALUEW

NECESITA ESTRI!OS

VALUEW "2

5

& +%

υ" =8+3;@"


56/71

REF T( - m

#ALUE

00.+777477 ;%/" > I2p")o<

08 5&b>.3

VALUEW

VALUEW _=b

#ALUE

/ L/


57/71

& 58

VALUEW

= VALUEW "2

& 58

0.+9 "2

, ;.9+3 "2


58/71

0 "p%

.3, "2"2"2"2

"2

"2RECALCULAR

rr%-0Vbrr%φbrr


59/71

DISEÑO DE LOSA DE PONTON L=8.00M

PROYECTO

TRAMO : CONSTRUCCION DE CARRETERAPROPIETRAIO : GOBIERNO REGIONAL HUANUCO

FECHA :OCTUBRE DEL 2008

UBICACIÓN : MARIANO DAMASO BERAUN-LEONCIO PRADO-HUANUCO

DATOS

ANCHO DE CARRIL 7. 2)

ANCHO DE EREDA .+ 2)

ESPESOR EREDA .0+ 2)

MATERIALES

CONCRETO 0. 56/"2

ACERO CORRUGADO 78. 56/"2CARP. ASALTO . 2)

A.- CHEQUEO DEL ESPESOR MINIMO DE LOSA P'$#)$ %(2p&$2$#)$ po:!oLUZ DEL PUENTE L = .00 m

ESPESOR LOSA ) ;22< = 0.;S>3 .7 ;L0 F 0 .0 ;L0 F 0


60/71


PROYECTO




: CONSTRUCCION CARRETERA VECINAL BELLA -

BELLA ALTA - RIO TIGRE - JUAN SANTOS ATAHUALPA

C.- APLICACIN DE CARGA #I#A EN PUENTES LOSA$.- C&%( M%6*m:

*7 C%m*(

7P = 07.4, T#

L = 4. 2

7.3 2

B

A B=;L-!0< F A / L

A = 0.

B = .3,+4

!0 =!(%)#"( $#)r$ $$ !$&#)$ro $ (#)$r2$!(o ; 07 < 7.3 2

! =!(%). $#)r$ $$ (#)$r2$!(o : po%)$r(or ; 07 - 3 < 7.3 2

A "2(K# = 7P F A > 7P F B

A "2(K# = .7, T#

**7 T%(m

7P0 = 00. T#

0. ! = 0. 2

C D D=;L-!< F C / L

C = 0.

D = .,,

A )#!$2 = 7P0 F C > 7P0 F D

A )#!$2 = .7, T#

***7 C%&&*+

= .9 T#/2

1 = 0.920 T(m

.000 2

A "rr(& = ; F L< /

A "rr(& = 3.3 T#

4P 4P !

0 =

!0 =

! =

4P$ 4P$

L

L-!0!0

L

L-! !


61/71


PROYECTO






R'm( :

# A )%m*( = .7, T# O/ GO!IERNA

# A %(m = .7, T#

# A )%&&*+ = 3.3 T#

F%)& Im;%)

. I. = 0 > IM/0

IM 33

. I. = 0.33 No %$ p&(" & "r6 !$ "rr(& ;r$pr)(!<

LL = A 2:or > A

LL = 3. T#

3.- Mm( F+6*( m%6*m:

*7 C%m*(

CL7P = 07.4, T#

L = 4. 2

4P 7.3 2

# #

!0 R = ,P

Y

7P;L/-#< > 7P;L/-# > !0< = R;L/>#<

B R$%o&($#!o

# =

= ;L/-#< F ;L/>#< / L

Y=;L/>#-!0< F / ;L/>#<

!(%)#"( $#)r$ $$ !$&#)$ro $ (#)$r2$!(o ; 07 < 7.3 2

!(%). $#)r$ $$ (#)$r2$!(o : po%)$r(or ; 07 - 3 < 7.3 2

# =

# = # = 0.4+ = 0.+,79

Y = .9+3

M A "2(K# = 7P F > 7P F Y

4P R !0 =

;!0


62/71


PROYECTO






M A "2(K# = 7.,3 T# F 2

**7 T%(m

CL

7P0 = 00. T#

L = 4. 2 4P$ ! = 0. 2

# #

0. 2 R0 = ,P0

Z

G 7P;L/-#< > 7P;L/-# > !< = R;L/>#<

B R$%o&($#!o

# = ;!#< / L

Z=;L/>#-!< F G / ;L/>#<

# = ;! 7P0 F Z

M A )#!$2 = 3.44 T# F 2

***7 C%&&*+

= .9 T#/2

1 = 0.920 T(m

.000 2

M A "rr(& = ; F L< / ,

/,

M A "rr(& = +.,, T# F 2

R'm( :

M A )%m*( = 7.,3 T# F 2

M A %(m = 3.44 T# F 2 O/ GO!IERNA

4P$ R$

M A "rr(& = F L

L/ L/

L/>#L/-#


63/71


PROYECTO






M A )%&&*+ = +.,, T# F 2

F%)& Im;%)

. I. = 0 > IM/0

IM 33

. I. = 0.33 No %$ p&(" & "r6 !$ "rr(& ;r$pr)(!<

M LL = M A 2:or > M A

M LL = 79.7 T# F 2

D.- SELECCIN DE FACTORES DE RESISTENCIA

E% +*m* &*()*% φ

&$F(K# : )r""(K# .9Cor)$ : )or%(K# .9

E.- SELECCIN DE MODIFICADORES DE CARGA

R*()*% S& D0.;LL > IM< > .3;S>L0.R

U = # ;0.+DC > 0.+D>0.4+;LL > IM< > 0.R > g TG TG


64/71


PROYECTO






FATIGA E% L*m*

U = .4+ ;LL>IM<

G.- CALCULO DE LOS EFECTOS DE LA CARGA #I#A 6 $m. DE LOSA$.- F&%(% I(&*&

Pr '# "rr(& "r6!o E = .,, 2 O/

Pr !o% o 2% "rr(&$% "r6!o% E = .,30 2

Por &o )#)o $% "r()("o pr E = .,, 2

LL>IM =3.

= 0.9 T#-2/2.,,

MLL>IM =79.7

= 04.0 T#-2/2.,,

3.- F&%(% >&

ELB = A#"o $r$! > .3 > .+ F E "r()("o

ELB = .3+7 2 0.,

ELB = 0., 2

LL>IM =;0/< F 3. F 0.

= 0. T#/20.,

MLL>IM =;0/< F 79.7 F 0.

= 0.79 T#/20.,

H.- EFECTO DE OTRAS CARGAS

$.- F&%(% I(&*& $.00 %()? P$%o E%p$"(@("o Co#"r$)o = 87 X6/23

P +% +%:

Cor)$ : 2o2$#)o por "rr(&8 pr)$ C.0 : C.. Cor)$ : 2o2$#)o por 2$)ro !$ #"o !$

@r# $% "r()("o pr

A#"o !$ @r# !$ bor!$ &o#6()'!(#& pr '# &o2 !$ &&#)%=D(%)#"( !$& bor!$ !$$r$!>.3 2>;0/


65/71


PROYECTO






DC = 0., T#/2

DC =;0/< F DC F L

DC = 3.4, T#

MDC = . T# - 2

F''&

P$%o E%p$"(@("o A%@&)o = 8+ X6/23

P )%;% %@%+:

D = . T#/2

D =;0/< F D F L

D = . T#

MD = . T# - 2

3.- F&%(% >&

P ;&;*

PP &o% P$%o $%p$"(@("o "o#"r$)o F E%p$%or &o% = 0., T#/2

Br#! 2$)&(" ;.7 T#/2< = .7 T#/2

$r$! ;A#"o $r$! F E%p$%or F P$%o $%p$"(@( = .03 T#/2

1;; = $.2$0 T(m

DC =;0/< F pp F L

DC = +.7 T#

MDC = 9., T# - 2

P )%;% %@%+:D = P$%o $%p$"(@("o %@&)o F E%p$%or "rp$) %@&)(" F ;EL - A#"o $r$!< / EL

D = . T# - 2

D =;0/< F D F L

MDC =DC F L/,

D =A#"o F $%p$%or %@&)o F P$%oE%p$"(@("o A%@&)o

MD =D F L/,

MDC =pp F L/,


66/71


PROYECTO






D = . T#

MD = . T# - 2

I.- DISEÑO DE LOSA

R$"'br(2($#)o !$ "$ro %'p$r(or ;!$%6%)$


67/71


PROYECTO






!= &o%-;r$"'br(2$(#)o>!(2$)ro "$ro (#@$r(or / < != 70.3 "2

D$ 0 : %$ ob)($#$

= 777.40

b = -0++8,79.7" = 7830899.4

R$%o($#!o & E"'"(K# "'!r)("

3.0

3.9

E&$6(2o%

A% = 3,

φ ( '(.7 S )m7

0/ 0.4 3 3.33

+/, 0.9, +.

3/7 .,+ 07 4.07

4/, 3.,, 0 0.

0 +.4 , 0.+ O/

0 0/, .70 0.4

0 0/7 4.9 + .

U%&m :

$ 0.+ "2


.9 O5 A%r = +

.9

4.9+

φ ( '(.7 S )m7

A%;: φ< / ;0.4 @" b< - A%;φ:!< > M' =

A% > b A% > " =

A%0 = "2

A% = "2

"2

A )m37

φ =

ASR =04+/;L


68/71


PROYECTO






0/ 0.4 4 07.9

+/, 0.9, + . O/

3/7 .,+ 3 33.33

4/, 3.,, 3 33.33

0 +.4 +.

0 0/, .70 +.

0 0/7 4.9 +.

U%&m :

58 +. "2

REFUERO POR CONTRACCIN Y TEMPERATURA

,.0 E# !ob&$ %$#)(!o

7.+ Por %$#)(!o

φ ( '(.7 S )m7

0/ 0.4 7 +. O/+/, 0.9, 3 33.33

3/7 .,+ +.

4/, 3.,, +.

0 +.4 0 0.

0 0/, .70 0 0.

0 0/7 4.9 0 0.

U%&m :

$3 +. "2

".- DISEÑO DE #IGA SARDINEL

b = .3 2

= .4 2

M&% )%&,%

P$%o prop(o = .+ T#/2

P$%o $r$! = .03 T#/2

P$%o !$ br#! = ;.0 T#/2< = .0 T#/2

0.B T#/2

D$)$r2(##!o $& 2o2$#)o por "r6 p$r2#$#)$ & "$#)ro !$ & &'?

φ =

AS)$2p = .0, F b F

AS)$2p

= "2

AS)$2p

= "2

A )m37

φ =

= b F F γ " = ;#"o $r$! - #"o %r!(#$&< F $%p$%or $r$!

1D =

MD =

D L/,


69/71


PROYECTO






7.74 T# - 2

E= 0., 2

= 0 = .37, 2

P/= 4.39 T#.

P= 3.4 T#.

Mm( ;& S>&)%&,%

P F L/7

.7+ T# - 2

Mm( ;& Im;%)

0.97 T# - 2

#&*@*)%( + P&%+ S&


70/71


PROYECTO






= A% F :

...0 A% =M'

....,+ F @" F b

!= 3.4, "2

D$ 0 : %$ ob)($#$

= 087,.3+

b = -7084,.9+

" = 8783.7

R$%o($#!o & E"'"(K# "'!r)("

0+0.9+

0.,

E&$6(2o%

A% = 0.49

φ ( '(.7 S )m7

0/ 0.4 0.4 00 .0

+/, 0.9, 0.+9 4 0.79

3/7 .,+ 0.90 + .7

4/, 3.,, . 7 3.47

0 +.4 .+7 3 .7 O/

0 0/, .70 ., 07.3,

0 0/7 4.9 3.0, 03.47

U%&m :

$ .7 "2

L(,*' (% C(@*(%m*(

&=

& = 0.7 M

E&*> ( (% C(@*(%m*(

%=!/7 0+.97 "2., "2

.3 "2

%=3 "2. 3. "2

φ : ;!-/

A%

;:

φ< / ;0.4 @" b< - A%;φ:!< > M' = A% > b A% > " =

A%0 = "2

A% = "2

"2

A )m37 φ )m7

φ =

A'#'$ #o %$ r$'($r$ "$ro #$6)(o8 %$ "o&o"r 3 φ +/, $# & pr)$ %'p$r(or !$ & (6 "o# & @(#&(!!!$ "o#%$6'(r '# #($& !$ !'")(&(!! !$"'!o8 !$2% !$ @"(&()r $& $%)r(b$.

A%( 2(%2o %$ %$ "o&o"r φ +/, $# & pr)$ "$#)r& !$ & (6 : '$ %$ )r) !$ '# (6 !$ 4 "2. D$ p$r&)$.

%=7!b ;$%)r(bo<

%=,!b;&o#6()'!(#&


71/71


PROYECTO






0 .+ .+ 2

0 .0 0. 2

+ .0+ .4+ 2

$.80 O5

F'&% +% (% C(@*(%m*(%=!/ 30.,9 "2

U%2o% 3 "2

E&*> φ B8: $J0.05 $0J0.$0 5J0.$5 R 0.B0

Documents

CALCULO LOSA L=8.00ML IMP.xlsx