EXCEL DE ANALISIS MODAL - ANTISISMICA

UNIVERSIDAD NACIONAL PEDRO RUIZ GALLO FICSA - ESCUELA PROFESIONAL DE INGENIERIA CIVIL

DATOS Departamento :

Lambayeque

Provincia

:

Chiclayo

Distrito

:

Chiclayo

Uso

:

Vivienda Multifamiliar

Sis Sistema tema Est Estruct ructu ural ral

: Porti ortico coss de Co Conc ncrreto eto rma mado do

ltura !otal

: "# "#$%mt$

!ipo de Suelo

: Suelo rcillo & Limoso

INGENIERIA ANTISISMICA

PREDIMENSIONAMIENTO DE COLUMNAS

Col Columna umnass C-1 Esquinera C-2 Excentrica C-3 Excentrica Excentrica C-4 Central

Àrea Àrea Tribu ributtari aria 3.14 7.39 5.8 13.63

!"! #$%&"'% #$%&"'%(!" (!" )!* )!* C&)#' C&)#'$!* $!* *E T&' T&'

PREDIMENSIONAMIENTO DE LOSA MACIZA

PREDIMENSIONAMIENTO DE COLUMNAS

Col Columna umnass C-1 Esquinera C-2 Excentrica C-3 Excentrica Excentrica C-4 Central

Àrea Àrea Tribu ributtari aria 3.14 7.39 5.8 13.63

!"! #$%&"'% #$%&"'%(!" (!" )!* )!* C&)#' C&)#'$!* $!* *E T&' T&'

PREDIMENSIONAMIENTO DE LOSA MACIZA



E"%'ET"&18,/204.533.8218, E"%'ET"&18,/204.533.8218, /



)n4,/4.534,

PREDIMENSIONAMIENTO DE VIGAS



)u14/4.7814



)u12/4.7812

Cara !sumia 0m2 125, 125, 125, 125,

!"! C&)#'$!* +E ,.35,.35

$mero e :isos 8 8 8 8

;c0 cm2 21, 21, 21, 21,

Àrea "equeria 0cm2 427.21 1,,5.44 789.12 1442.33

,.,9 *e cosnierara / ,.15m ,.11

,.34 /4, ,.4,

b/25

lao e la columna 2,.67 31.71 28.,9 37.98

lao e la columna esinao 0cm 25 3, 3, 35

UNIVERSIDAD NACIONAL PEDRO RUIZ GALLO


INGENIERIA CIVIL

METRADO DE CARGAS 1 PRIMER NIVEL Elemento Pu Peso Losa "'(( !abiquer-a E$ "(#$)# cabados *(( Vi.as "'(( Columnas "'(( Sobrecar.a "((

Area Longitud "(%$)' ($*% "(%$)' "(%$)' ($*( *#%$/ '$'* +$%( "(%$)' Carga Muerta = Carga Vi&a =

Wu #'*+,$' *$( "(%)'$( '"*''$( +#(''$( '**,,$( 1!"#1$% %11''$(

Pe)o = CM * #+,CV

1'%#1'$%("'+

-g



INGENIERIA CIVIL

# SEG.NDO NIVEL

Elemento Pu Peso Losa "'(( !abiquer-a E$ "(#$)# cabados *(( Vi.as "'(( Columnas "'(( Sobrecar.a "((

Area Longitud "(%$)' ($*% "(%$)' "(%$)' ($*( *#%$/ '$'* '$(( "(%$)' Carga Muerta = Carga Vi&a =

Wu #'*+,$' *$( "(%)'$( '"*''$( '"++/$( '**,,$( 1"#1!$% %11''$(

Pe)o = CM * #+,CV

1'"+1($%("'+

! TERCER NIVEL

Elemento Pu Peso Losa "'(( !abiquer-a E$ "(#$)#

Area "(%$)' "(%$)'

Longitud ($*%

Wu #'*+,$' *$(

-g



INGENIERIA CIVIL

Elemento Peso Losa cabados Vi.as Columnas Sobrecar.a

Pu "'(( *(( "'(( "'(( *((

Area Longitud "(%$)' ($*% "(%$)' ($*( *#%$/ '$'* +$(( "(%$)' Carga Muerta = Carga Vi&a =

Wu #'*+,$' "(%)'$( '"*''$( +*#%"$( "(%)'$( 1/'/#'$% #(+"%$(

Pe)o = CM * #+,CV

1!/$"

PESOS POR NIVELES Ni&el * " +

Pe)o) 2Ton3 *,'$"" *,)$%* *#, )+

-g

MASAS POR NIVELES Ni&el * " +

Ma)a 2-N4)eg#

*$,, *$)+ * ,"

UNIVERSIDAD NACIONAL PEDRO RUIZ GALLO INGENIERIA CIVIL

% 8a6tor de Am:li76a6i;n S<)mi6a < C3 ! 4 !p "$% p 4 ! 4 ! < C 3 "$%5!p6!7 < C 3 "$%5!p9!l76! ! 8 !l *

Periodo de Vibraci2n de la Estructura ! 3 hn6Ct hn 3 "#$% < ltura !otal de la Edicaci2n < Sistema Estructural Ct 3 /( ! 3 ($'/ se.

C=

<

! 4 !p

#$+

+ 8a6tor de Redu66i;n de la 8uera S<)mi6a @ 3 @(9>a9>p @( ;actor de reducci2n <=sico >a >rre.ularidad en ltura >p >rre.ularidad en Planta @( 3 >a

, *$((




INGENIERIA CIVIL

Ni&el Altura Pe)o i4@i1$( , ""$' FFF FFF # *)$/ FFF FFF / */$, FFF FFF FFF FFF % *' ' **$" FFF FFF FFF FFF + ,$' FFF FFF " %$/ FFF %/%$,) * "$, i9hi FFF

i9hi6?i9hi

V

8i35i9hi6?i9hi7V

($""(, ($"("' ($*#** ($*'(+ ($**(( ($(#,* ($(%+* ($("'+

)(%$'"( )(%$'"( )(%$'"( )(%$'"( )(%$'"( )(%$'"( )(%$'"( )(%$'"(

*))$)'' *,+$"'# *%'$)(% *"/$),# ))$%/) #($/#, ',$**, "*$)#+

= RIGIDE9 LATERAL DE LA ESTR.CT.RA B POR WIL>.R *

@i.ideG a la ;leHi2n & CILUMJS > >: >nercia de Columnas Bcol 3 h h: ltura de Columnas

DIMENSIONES DE LAS COL.MNAS 2Para 6al6ular la) Iner6ia)3



INGENIERIA CIVIL

b 3 +%$( cm t 3 +%$( cm I= ???

***

**

b3 +%$( cm t3 +%$( cm I = 1#+(+#$('

b3 t3 I=

+%$( cm +%$( cm 1#+(+#$('

Ee +B+ 5-A

5-B

b 3 +%$( cm t 3 +%$( cm I= ???

b3 +%$( cm t3 +%$( cm I = 1#+(+#$('

5-D

b3 t3 I=

+%$( cm +%$( cm 1#+(+#$('

Porti6o) en Dire66i;n B *** Ee ABA A-1

A-2

b 3 +%$( cm t 3 +%$( cm I= ???

b3 +%$( cm t3 +%$( cm I = 1#+(+#$('

A-3

b3 t3 I= A-5

b3 t

+%$( cm +% (

+%$( cm +%$( cm 1#+(+#$('



INGENIERIA CIVIL ***

Ee GBG G-1

G-2

b 3 +%$( cm t 3 +%$( cm I= ???

b3 +%$( cm t3 +%$( cm I = 1#+(+#$('

G-3

b3 t3 I=

+%$( cm +%$( cm 1#+(+#$('

G-5

b3 t3 I=

*

+%$( cm +%$( cm 1#+(+#$('

@i.ideG a la ;leHi2n & V>KS > >: >nercia de Vi.as Bvi. 3 luG luG: Lon.itud de Vi.as b3 "%$( cm h3 '($( cm I = 1!!!!!$!!

*

Modulo de Elasticidad del Concreto

*

lturas de los entrepisos



INGENIERIA CIVIL

+*+$#+ '*/$,

,,,$,,,,,,,,) '*/$,

+*+$#+ '*/$,

,,,$,,,,,,,,)

+*+$#+

'*/$,

'*/$,

'*/$,

,,,$,,,,,,,,)

+*+$#+

+*+$#+ '*/$,

,,,$,,,,,,,,) '*/$,

+*+$#+ '*/$,

+*+$#+ '*/$,

'*/$,

'*/$,

+*+$#+

,,,$,,,,,,,,)

+*+$#+

+*+$#+ '*/$,

,,,$,,,,,,,,) '*/$,

+*+$#+ +*"$/

'*/$,

'*/$,

'*/$,

+*+$#+

+*+$#+ '*/$,

,,,$,,,,,,,,) +*"$/

+*+$#+ +*"$/



INGENIERIA CIVIL

'*/$,

'*/$, +*+$#+

'*/$,

,,,$,,,,,,,,) '*/$,

+*+$#+ '*/$,

'*/$,

'*/$,

'*/$,

,,,$,,,,,,,,)

+*+$#+

+*+$#+ '*/$,

,,,$,,,,,,,,) '*/$,

+*+$#+ '*/$,

+*+$#+ '*/$,

'*/$,

'*/$,

+*+$#+

,,,$,,,,,,,,)

+*+$#+

+*+$#+ '*/$,

,,,$,,,,,,,,) '*/$,

+*+$#+ +*"$/

'*/$,

+*+$#+ '*/$,

,,,$,,,,,,,,) +*"$/

+*+$#+ +*"$/



INGENIERIA CIVIL

+*+$#+ '*/$,

,,,$,,,,,,,,) '*/$,

+*+$#+ '*/$,

'*/$, ,,,$,,,,,,,,)

'*/$, +*+$#+

'*/$,

,,,$,,,,,,,,)

+*+$#+

,,,$,,,,,,,,)

+*+$#+

,,,$,,,,,,,,)

+*+$#+

+*+$#+ '*/$,

,,,$,,,,,,,,) '*/$,

+*+$#+

+*+$#+ '*/$,

'*/$,

'*/$,

+*+$#+ '*/$,

'*/$,

'*/$,

+*+$#+ '*/$,

'*/$,

'*/$,

+*+$#+

+*+$#+ '*/$,

,,,$,,,,,,,,)

+*+$#+



INGENIERIA CIVIL

PORTICO 4 -4

"//$/# FFF

"//$/# '*/$,'

"//$/# FFF

"//$/# '*/$,'

"//$/# FFF

"//$/# '*/$,'

"//$/# FFF

"//$/# '*/$,'

"//$/# FFF

"//$/# '*/$,'

"//$/# FFF

"//$/# '*/$,'



INGENIERIA CIVIL

PORTICO 5-5

"//$/# FFF

"//$/# '*/$,'

"//$/# FFF

"//$/# '*/$,'

"//$/# FFF

"//$/# '*/$,'

"//$/# FFF

"//$/# '*/$,'

"//$/# FFF

"//$/# '*/$,'

"//$/#

"//$/#



INGENIERIA CIVIL

* Cu%rto Nivel

* O#t%vo Nivel

R%F = 1($'!/ !on6cm

R'F =

1($'!/

!on6cm

PORTICO A-A

"''$/ '*/$,

"++$) '*/$,

"''$/ '*/$,

'*/$, "++$)

'*/$, "''$/

'*/$,

+,($)%"+,

"++$)

'* "')$""**,+,

'*/$,' +,($)%"+,

'*/$, "++$)

"')$""**,+, '*/$,'

'*/$,

'*/$, "''$/

+,($)%"+,

'* "')$""**,+,

'*/$,' +,($)%"+,

'* "')$""**,+,



INGENIERIA CIVIL

* Ter#er Nivel

* Se$mo Nivel

R!F = 1"$'"% !on6cm * Cu%rto Nivel

RF =

#($"/

!on6cm

#($"/

!on6cm

* O#t%vo Nivel

R%F = #($"/ !on6cm

R'F =

PORTICO B-B

"''$/% '*/$,

""#$)" '*/$,

"''$/% '*/$,

""#$)" '*/$,

"''$/%

""#$)"



INGENIERIA CIVIL

R1F = 11$#'' !on6cm * Seun!o Nivel

R+F =

R/F =

"$"%(

!on6cm

"$"%(

!on6cm

"$"%(

!on6cm

* Se$mo Nivel

R!F = "$!! !on6cm * Cu%rto Nivel

!on6cm

* Se"to Nivel

R#F = +$/' !on6cm * Ter#er Nivel

"$"%(

RF = * O#t%vo Nivel

R%F = "$"%( !on6cm

R'F =

PORTICO C-C

"')$"" FFF

FFF

?Bv3 ?Bc3

"')$""* ,++$/,*

?Bv3 ?B

"')$""* ,++ /,*

"')$""



INGENIERIA CIVIL

● RIGIDE9 LATERAL DE LA ESTR.CT.RA PORTICO CBC * Primer Nivel

* Quinto Nivel

R1F = /$'"# !on6cm * Seun!o Nivel

R+F =

R/F =

+$+/1

!on6cm

+$+/1

!on6cm

+$+/1

!on6cm

* Se$mo Nivel

R!F = +$##/ !on6cm * Cu%rto Nivel

!on6cm

* Se"to Nivel

R#F = !$!%/ !on6cm * Ter#er Nivel

+$+/1


R%F = +$+/1 !on6cm

R'F =

PORTICO D-D

"''$/% '*/$,

""#$)" '*/$,



INGENIERIA CIVIL

● RIGIDE9 LATERAL DE LA ESTR.CT.RA PORTICO DBD * Primer Nivel

* Quinto Nivel

R1F = 11$#'' !on6cm

R+F =

* Seun!o Nivel

"$"%(

!on6cm

"$"%(

!on6cm

"$"%(

!on6cm

"$"%(

!on6cm

* Se"to Nivel

R#F = +$/' !on6cm

R/F =

* Ter#er Nivel

* Se$mo Nivel

R!F = "$!! !on6cm

RF =

* Cu%rto Nivel

* O#t%vo Nivel

R%F = "$"%( !on6cm

R'F =

PORTICO E-E

"''$/ '*/$,

"++$) '*/$,

+,($)%"+, '*/$,

"')$""**,+, '*/$,'

'*



INGENIERIA CIVIL

● RIGIDE9 LATERAL DE LA ESTR.CT.RA PORTICO EBE * Primer Nivel

* Quinto Nivel

R1F = #1$"#( !on6cm * Seun!o Nivel

R+F =

#($"/

!on6cm

#($"/

!on6cm

#($"/

!on6cm

#($"/

!on6cm

* Se"to Nivel

R#F = 11$%(+ !on6cm * Ter#er Nivel

R/F = * Se$mo Nivel

R!F = 1"$'"% !on6cm * Cu%rto Nivel


R%F = #($"/ !on6cm

R'F =

RIGIDE9 LATERAL DE LA ESTR.CT.RA 2Re)umen3 * @i.eideG Lateral 5Direcci2n &7


Ni&el Altura 8i , ",( *))$)'' # ",( *,+$"'# / ",( *%'$)(% % ",( *"/$),# ' ",( ))$%/) + ",( #($/#, " ",( ',$**, * ",( "*$)#+

0i *))$)'' +,+$*)* %+,$()/ //%$(,+ #/'$/%" ,+%$++( ,,+$'', )(%$'"(

O DESPLA9AMIENTOS LATERALES * De):laamiento) Relati&o) Te;ri6o) Q




INGENIERIA CIVIL

" 3 * 3

FFF cm /+$"*) cm

" 3 * 3

*'($%,% #'$+"#

cm cm

* De):laamiento) Totale) Te;ri6o) i 3 ??i **

Dire66i;n B

, 3 # 3 / 3 %3 ' 3 + 3 " 3 * 3

//$,#* /'$%"/ /($+(" %'$+#* '#$('( +,$/** ",$)/) *($%+/

cm cm cm cm cm cm cm cm

* De):laamiento) Totale) Reale) ri 3 $,%@i

**

Dire66i;n B

, 3 # 3 / 3 %3 ' 3 + 3 " 3 * 3

,/$##" ,+$,(% #,$*"( #($*+% /($"// ',$)"( +%$,*) *"$+,,




INGENIERIA CIVIL

O PERIODO DE VI>RACION DE RALEIGH

**

Dire66i;n B Ni&el , # / % ' + " *

T=

**

e)o) 2Pi *#+$### *,'$"*, *,'$"*, *,'$"*, *,'$"*, *#,$)"/ *,)$%*( *,'$"*,

???

Dire66i;n B

8i *))$)'' *,+$"'# *%'$)(% *"/$),# ))$%/) #($/#, ',$**, "*$)#+ )(%$'"(

Di ($//) ($/'% ($/(+ ($%'' ($'#( ($+,/ ($")( ($*(% ?3

8iD *++$#(' **,$"'" )+$'** /)$('' '/$,+# "#$",) *+$)+) "$+*%

PiD# ##$#(, #/$#(* //$),, %'$'%, '($#/" "/$/#' *%$)(' "$('%

%('$#,*

+/*$"'*



INGENIERIA CIVIL

!l3

*$/(

O RECALC.LAMOS LA 8.ER9A CORTANTE >ASAL ** Dire66i;n B 0 3 ($'% U 3 *$(( C *$#++ V = /#$/'1 ton S 3 *$*( @3 " P 3 FFF **

Dire66i;n B 0 3 ($'% U 3 *$(( C 3 *$%*# S 3 *$*( @ 3 "$((( P 3 FFF

V = +%"$!#1

ton

= DISTRI>.CION DE LA 8.ER9A CORTANTE >ASAL EN ALT.RA

;i 3

Pi5hi7B 9V Pi5hi7

31.878

Q5 = 146.136



INGENIERIA 26.119 CIVIL

Q4 = 172.255

20.464

Q3 = 192.719

13.919

Q2 = 206.639

7.299

**

Q1 = 213.938

Dire66i;n B Para: ara: A ! 4 ($%( ($%( Para: ara: A ! 8 ($%( ($%(

Ni&el Altura , ""$' # *)$/ / */$, % *' ' **$" + ,$' " %$/ * "$,

< <

B3 B3

*$( 5($#%  ($%(!7

>

2.,,

! 3

Pe)o

i4@i

i9hi6?i9hi

V

8i35i9hi6?i9hi7V

FFF FFF FFF FFF FFF FFF FFF FFF

FFF FFF FFF

FFF FFF FFF FFF )+*$%#

($"/'# ($""#' ($*#,' ($*++) ($()'" ($(%," ($(+"/ ($(*(/

%')$+"* %')$+"* %')$+"* %')$+"* %')$+"* %')$+"* %')$+"* %')$+"*

*'%$+), *"'$)*% ),$((* #+$%%* %*$#/% +*$)/, *#$,,% %$,+)

i9hi

FFF

*$



INGENIERIA CIVIL

, 3 # 3 / 3 % 3 ' 3 + 3 " 3 * 3

($%#", *$(#*, *$'/)% *$##+/ *$))"/ "$*+"( "$"*+" "$"'*#

cm cm cm cm cm cm cm cm cm

, 3 # 3 / 3 % 3 ' 3 + 3 " 3 * 3

($%*)"#,, ($)/%'("* *$+*%'(%% *$%#,(,#, *$#/")/'/ *$,##*+%" *$)'*(() *$)/*,/*,


* De):laamiento) De):laamiento) Relati&o) Reale)

?ri 3 ($#%@i **

Dire66i;n B , 3 # 3 / 3 % 3 ' 3 + 3 " 3

+$'+# /$'+* ,$,*# *($/'" **$)%/ *"$#)" *+$"#) *+ '%(

cm cm cm cm cm cm cm

**

Dire66i;n B , 3 # 3 / 3 % 3 ' 3 + 3 " 3 

+$**/ %$#)" #$,)" )$'/) *($%#, **$"/+ **$/'/ ** ##*

cm cm cm cm cm cm cm



INGENIERIA CIVIL

%3 ' 3 + 3 " 3 * 3

/"$**) %*$'## +)$%"* "/$#+( *+$'%(

%3 ' 3 + 3 " 3 * 3

cm cm cm cm cm

%'$#"/ '%$"%, +'$/,( "+$'*# **$##*

cm cm cm cm cm

O DISTORCIONES Di 3

ri & ri&*

Ti ** Dire66i;n B

D, 3 D# 3 D/ 3 D% 3 D' 3 D+ 3 D" 3 D* 3

($(*" ($("+ ($(+* ($(+, ($('+ ($('/ ($('# ($(',

4 4 8 8 8 8 8 8

**

($((# ($((# ($((# ($((# ($((# ($((# ($((# ($((#

Dire66i;n B

, 3 # 3 / 3 %3 ' 3 + 3 " 3 * 3

($(** ($("* ($(", ($(+' ($(+, ($('( ($('" ($('"

4 4 8 8 8 8 8 8

($( ($( ($( ($( ($( ($( ($( ($(



INGENIERIA CIVIL

1K

#K

"&" +&+ '&' %&% & <&< C&C D&D E&E *&* "&" +&+ '&' %&% & <&< C&C D&D E&E *&* "&" +&+ ' '

"($#", "($#", **$,#' **$,#' "*$#(* **$",, /$,)" **$",, "*$)"( **$,%, **$,%, **$,%, /$*## /$*## **$'*# %$#/, +$+'/ %$#/, **$'(% ""$(%' ""$(%' ""$(%' *( "+,

& & & & ($*"% '$"%( %$((( %$#%( )$,#% & & & & & ($*"% '$"%( %$((( %$#%( )$,#% & & &

%$'%( **$*%( *'$/%( *)$,#% & & & & & ($*"% %$'%( **$*%( *'$/%( *)$,#% & & & & & ($*"% %$'%( **$*%( *' /%(

+$(1%/

'

%$""'+

'



INGENIERIA CIVIL

/K

K

E&E *&* "&" +&+ '&' %&% & <&< C&C D&D E&E *&* "&" +&+ '&' %&% & <&< C&C D&D E&E *&* " "

"($)#/ "+$(*/ "+$(*/ "+$(*/ *($,+/ *($,+/ "($)#/ )$)'( %$%/* )$)'( "($)#/ "+$(*/ "+$(*/ "+$(*/ *($,+/ *($,+/ "($)#/ )$)'( %$%/* )$)'( "($)#/ "+$(*/ *# %/#

)$,#% & & & & & ($*"% '$"%( %$((( %$#%( )$,#% & & & & & ($*"% '$"%( %$((( %$#%( )$,#% &

& ($*"% %$'%( **$*%( *'$/%( *)$,#% & & & & & ($*"% %$'%( **$*%( *'$/%( *)$,#% & & & & & ($*"% % '%(

+$((((

'

+$((((

'



INGENIERIA CIVIL

Ni&e Ni&ell * " + ' % / # ,

$ E)tr E)tru6 u6tu tura rall &($*)))# &($*,+,+ &($*,%+# &($*,%+# &($*,%+# &($*,%+# &($*,%+# &($*,%+#

E$ E$ E)tr E)tru6 u6tu tura rall  ($)%('' *$*/#,% *$'*,() *$+,,++ *$+,,++ *$+,,++ *$+,,++ *$"(*)"

O ECENTRICIDAD DE DISEO

Ni&el * " + ' % / #

e eH* 57 ($+((( ($+*/" ($+*'/ ($+*'/ ($+*'/ ($+*'/ ( +*'/

e eH" 5&7 FF F FF F FF F FF FF F FF F FF F FF F

ey* 57 *$)%(' "$*/#, "$'*,* "$+,,+ "$+,,+ "$+,,+ " +,,+

ey" 5&7 &($(')/ ($*/#, ($'*,* ($+,,+ ($+,,+ ($+,,+ ( +,,+



INGENIERIA CIVIL

O CORTANTES TORSIONALES **

Primer Ni&el P;rti6o  i * &,$,(% " &+$+%% + "$+'% ' %$,'% % **$*)%

P;rti6o  < C D E

i &%$(*% &($#/% ($(*% ($#+% '$),%

R "($#", "($#", "($#", **$,#' **$,#' 

*/(/$)// "++$+(( **+$))/ '(%$/#+ *',,$*%* !'%'$('+

R "*$#(* %'%$#() **$",, /$%)) /$,)" ($((* **$",, /$*(% "*$)"( %''$,*+  11(!$##!+

&($('% &($(*# ($(*" ($(*# ($(++

($((* ($((( ($((( ($((( &($((*

&($((' &($+", ($((' ($+*/ ($(('

($(*( ($#// &($(() &($#+# &($(*(



INGENIERIA CIVIL

**

+ ' %

"$,*+ /$+*+ **$//+

""$(%' *($"+, *($"+, 

*#'$',* '(#$))" *+)"$%/% !/"1$'#!

($(*) ($("( ($(+#

($((+ ($((+ ($((/

P;rti6o  < C D E

i &%$((( &($#%( ($((( ($#%( %$(((

R *)$,)' )$+#+ %$""/ )$+#+ *)$,)' 

')#$+'* %$"#" ($((( %$"#" ')#$+'* 1((+$##

&($((' &($",* ($((( ($",* ($(('

($(() ($/*" ($((( &($/*" &($(()

R "+$(*/ "+$(*/ "+$(*/ *($,+/ *( ,+/

*/**$",, *)%$,'" *#,$"/" '"#$#/' *'// '(+

&($(%% &($(*) ($(*, ($(*) ( (+/

&($(() &($((+ ($((+ ($((+ ( ((/

Cuarto Ni&el P;rti6o * " + ' %

 i &,$+/# &"$)*# "$#,+ /$",+ ** /++



INGENIERIA CIVIL

C D E

($((( ($#%( %$(((

%$%/* )$)'( "($)#/ 

($((( %$%)* %"'$+)' 1(+"$"1

($((( ($"', ($((+

($((( &($%'( &($((,

O CORTENTES 8INALES **

Primer Ni&el P;rti6o R V * "($#", " "($#", + "($#", FFF ' **$,#' % **$,#'

Vtra)$ *%*$'(/ *%*$'(/ *%*$'(/ ,/$#+* ,/$#+*

Vtor$ ($((* ($((( ($(*" ($(*# ($(++

V8inal *%*$'(, *%*$'(# *%*$'*, ,/$#', ,/$#/'

P;rti6o R V  "*$#(* < **$",, C /$,)" FFF D **$",, E "* )"(

Vtra)$ */+$*(* ,'$,+, %*$#)# ,'$,+, */' #'#

Vtor$ ($(*( ($#// ($((' ($+*/ ( (('

V8inal */+$*** ,%$/(' %*$,(* ,%$*%' */' #%*



/#$%+



++($%#1



INGENIERIA CIVIL

**

P;rti6o R V  *)$,)' < )$+#+ C %$""/ FFF D )$+#+ E *)$,)'

Vtra)$ */+$))+ ##$"/, '+$(## ##$"/, */+$))+

Vtor$ ($(() ($/*" ($((( ($",* ($(('

V8inal */'$((" ##$,,( '+$(## ##$%') */+$))#

Cuarto Ni&el P;rti6o R V * "+$(*/ " "+$(*/ + "+$(*/ FFF ' *($,+/ % *($,+/

Vtra)$ *'*$%%" *'*$%%" *'*$%%" //$/'+ //$/'+

Vtor$ &($(() &($((+ ($(*, ($(*) ($(+/

V8inal *'*$%%" *'*$%%" *'*$%#( //$//" //$/#,

P;rti6o R V  "($)#/ < )$)'( C %$%/* FFF D )$)'( E "( )#/

Vtra)$ *%+$/'" #"$,(, '($#+* #"$,(, *%+ /'"

Vtor$ ($(() ($"(" ($((( ($"#) ( (('

V8inal *%+$/%( #+$(*( '($#+* #+$(,/ *%+ /'/



+#/$+(%



++'$(1%



%"%$1#!



INGENIERIA CIVIL

%

**

*($,+/

')$*'/

($(+"

')$*#,

P;rti6o R V  "($)#/ < )$)'( C %$%/* FFF D )$)'( E "($)#/

Vtra)$ **'$/+# %'$+"' +($+)* %'$+"' **'$/+#

Vtor$ ($((, ($%'( ($((( ($"', ($((+

V8inal **'$/'% %'$,/% +($+)* %'$%#" **'$/'*

Setimo Ni&el P;rti6o R V * "+$(*/ " "+$(*/ + "+$(*/ FFF ' *($,+/ % *($,+/

Vtra)$ #/$*+# #/$*+# #/$*+# +%$,'% +%$,'%

Vtor$ &($((, &($((+ ($(*/ ($(*# ($(+"

V8inal #/$*+# #/$*+# #/$*%+ +%$,/" +%$,##

P;rti6o R V  "($)#/ < )$)'( C % %/* FFF

Vtra)$ ,'$*+' +)$,#( "" +('

Vtor$ ($((, ($%'( ( (((

V8inal ,'$*'" '($'*( "" +('



!/"$11!



!(($1/+



#1$11#



INGENIERIA CIVIL

* De):laamiento) Relati&o) Te;ri6o) Qi ?i 3 ?R Li **

Dire66i;n B , 3 # 3 / 3 % 3 ' 3 + 3 " 3 * 3

*$,,*, +$+(,# '$%+/* %$'#', /$*%() /$,)** FFF #$+(%*

**


Dire66i;n B , 3 # 3 / 3 % 3 ' 3 + 3 " 3 * 3

"$*/)+'%' '$("",,/* %$'##(#(" /$%/,'%%% #$++"(+/) ,$"%##(+/ *'$''**'* #$%+(#","


* De):laamiento) Relati&o) Reale)

?ri 3 ($#%@i **

Dire66i;n B , 3 # 3 / 3

**$")* cm *)$,%" cm "#$"*# cm +" ,')

**

Dire66i;n B , 3 # 3 / 3 

*+$(*/ "'$*+# +"$,/" +) '**

cm cm cm



INGENIERIA CIVIL

, 3 # 3 / 3 %3 ' 3 + 3 " 3 * 3

FFF FFF FFF FFF FFF FFF FFF '+$,+*

, 3 # 3 / 3 %3 ' 3 + 3 " 3 * 3


++'$#)/ +"*$#,( ")#$/'+ "/'$#,( ""%$+#( *,*$+## *+*$,+* '%$*,'


O DISTORCIONES Di 3

ri & ri&*

Ti ** Dire66i;n B

D, 3 ($('( D# 3 ($(#* ( ()# D

3 8

**

($((# ($((# ( ((#

Dire66i;n B

, 3 # 3 

($('/ ($(,/ ( **#

8 8

($( ($( ((



INGENIERIA CIVIL

* " + ' % / # ,

*/+$*** */'$%#, */'$((" *%+$/%( *+#$%+# **'$/'% ,'$*'" '%$"/+

,%$/(' ,+$,+( ##$,,( #+$(*( /%$#*+ %'$,/% '($'*( "*$),/

%*$,(* ',$""% '+$(## '($#+* +/$'/( +($+)* ""$+(' **$))#

,%$*%' ,+$'/' ##$%') #+$(,/ /%$'"* %'$%#" '($**, "*$/)+

*/'$#%* */'$'(* */+$))# *%+$/'/ *+#$%++ **'$/'* ,'$*+, '%$"%,






6m3





0i *))$)'' +,+$*)* %+,$()/ //%$(,+ #/'$/%" ,+%$++( ,,+$'', )(%$'"(



A-4

b3 t3 I=

+%$( cm +%$( cm ???



G-4

b3 t3 I=

+%$( cm +%$( cm ???



'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

+*"$/

?Bv3 *%*/$+'( ?B *"%($%"*



'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

+*"$/

?Bv3 *%*/$+'( ?Bc3 *"%($%"*



'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

'*/$,

?Bv3 *%*/$+'( ?Bc3 *//#$+/*

?B

*%*/$+'(



'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*



'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

'*/$,'

?Bv3 %++$+++ ?Bc3 *"%($%"*

?B

%++ +++



$,'

?Bv3 **(,$#'( ?Bc3 "(,'$"(*

$,'

?Bv3 **(,$#'( ?Bc3 "(,'$"(*

$,'

?Bv3 **(,$#'( ?Bc3 "(,'$"(* ?Bv3 **(,$#'( ?B "(,'$"(*



'*/$,

?Bv3 '#"$%/) ?Bc3 *"%($%"*

'*/$,

?Bv3 '#"$%/) ?Bc3 *"%($%"* ?B

'#" %/)





'*/$,

?Bv3 '#"$%/) ?Bc3 *"%($%"*



$,'

?Bv3 **(,$#'( ?Bc3 "(,'$"(*













',

A B3 *$%#

0i *'%$+), "#($+*+ +/,$+*' ''*$,/% ')+$/+( %"%$%), %'+$',+ +%"$!#1





# # # # # # # #



$'(%"

$+'+



$!/(

$!/(

















# # #




UJ>VE@S>DD JC>IJL PED@I @U>0 KLLI >JKEJ>E@> C>V>L

>JKEJ>E@> J!>S>SM>C

ANALISIS MODAL ESPECTRAL B 2METODO DE HOL9ER3

# 1!$//!

,%)$+ B*

m* 1$''

3  3 *$((( ;r 3 ,%)$+" ;i 3

*$(((

'#)$+ B"

m" 1$"!#

,//$' B+

m+ 1$'#%

"$#+) *$#+) FFF

"%$/%#

)(#$" B'

+$/*, ($,#) #/*$+/

m' 1$''

)(#$" B%

'$+%,

)($*//

)(#$" B/

'$)#%

($#'( /#*$*)

#"$+('

m% 1$''

($/*# %%)$+#/ ***$,*%

m/ 1$''

)

%$'%* ($'#/ '+*$#'*

*"#$/+%

($ *+)$,'%

* # 1!!$'+

*$(((

3  3 *$((( ;r 3 ,%)$+" ;i 3

"$"/, *$"/, FFF

"$")+ ($("% "*$+)

*$#(( &($%)' &%+,$'%

($/+% &*$(/' &)/%$//%

&($/(% &*$"'( FFF

&*

"%*$+%'

%,/$%#'

%%)$,'"

'"#$"*%

*%)$//'

&*%"$*"'

*$(((

*$+"'

($+)#

&($#,,

&*$+/*

&($,#)

* # !%$'((

# ''$!'(

3  3 *$((( ;r 3 ,%)$+" ;i 3 3  3 *$((( ;r 3 ,%)$+" ;i 3

($+"' FFF #(+$,"+

&($)"# &,(+$'% )%,$)'/

*$(((

"#*$'+*

&($/,' &*$/,' &,(#$(/

*///$+#)

&*$*,% FFF &%%'$'')

&($"/" ($'"" +/%$+(

&($%#' &%"($'++

&**#"$+/(

&'"'$'%

&)%,$"(,

($/(, ($,#* #,)$#%

($',+ '+#$##% &/*,$%#/

($+/" &($"'# &""+$,#)

*(*+$/+

*$

&($%') &($)** FFF

/("$'("

($ , &)*%$++(

)

#  1!$// !$/"/ ??? ??? ??? ???

T 1$(( ($+%! ($!#+

($(( "$,( %$/( ,$'( **$"(

W** W*" W*+ W*'

3 3 3 3

($((( *$((( "$#+) +$/*, '$+%,

W"* W"" W"+ W"'

3 3 3 3

( *$((( "$"/, "$")+ *$#((

W+* W+" W++ W+'

3 3 3 3

*$ *$ ($ &(

UJ>VE@S>DD JC>IJL PED@I @U>0 KLLI >JKEJ>E@> C>V>L ''$!' ???

($#11

>JKEJ>E@> J!>S>SM>C *'$(( */$,( *)$/( ""$'(

W*% W*/ W*# W*,

3 3 3 3

W"% W"/ W"# W",

'$)#% %$'%* %$##" %$)'*

3 3 3 3

($/+% &($/(% &*$/#, &"$+"%

25.2,

25.2,

22.4,

22.4,

19.6,

W+% W+/ W+# W+,

3 3 3 3

1

2

19.6,

Primera 8orma Modal

16.8,

16.8,

ω2 T f

14.,,

11.2,

3 13.663 rad/seg 3 1.700 seg 3 0.588 Hertz

14.,, 11.2,

8.4,

8.4,

5.6,

5.6,

2.8,

2.8, ,.,,

,.,,

-3

,.,,,1.,,,2.,,, 3.,,,4.,,,5.,,, 6.,,,7.,,,

-2

-1

25.2,

25.2,

22.4,

22.4,

19.6,

Ter6era 8orma Modal

16.8,

ω2 14.,,

T

3 3

374.800 rad/seg

0.325

seg

19.6, 16.8, 14.,,

,

&* &( ($ *$


>JKEJ>E@> J!>S>SM>C f

11.2,

3 3.081

Hertz

11.2,

8.4,

8.4,

5.6,

5.6,

2.8,

2.8,

,.,, -2

-1

-1

,

1

1

2

-1

-1

,

,.,, , ,

,

,

1

1

1

NORMALI9ACION DE MODOS √(∑▒ 〖∗〖 ɸ1 〗 ^2 〗 )=

*$,#, FFF 

*$)+"

"$#+)



*$,"'

FFF 

*$,#,

'$+%,



*$,#,

FFF 

*$,#,

%$'%*  *$

√(∑▒ 〖∗〖 ɸ2 〗 ^2 〗 )=

*$,#, FFF 

*$)+"

"$"/,



*$,"'

FFF 

*$,#,

*$#((



*$,#,

FFF 

*$,#,

&($/*

 *$

√(∑▒ 〖∗〖 ɸ3 〗 ^2 〗 )=

*$,#, FFF 

*$)+"

*$+"'



*$,"'

($'( 

*$,#,

&($#)



*$,#,

&*$+/ 

*$,#,

&($,,

 *$

√(∑▒ 〖∗〖 ɸ4 〗 ^2 〗 )=

*$,#, FFF 

*$)+"

&($/,' 

*$,"'

&($"/ 

*$,#,

($/*



*$,#,

($+/ 

*$,#,

&($%%

 *$



W*J 3

($(%# ($*%# ($"(, ($"%( ($",/ ($+*+ ($++* ($+'*

W"J

($*%" ($+'% ($+') ($"%) 3 ($()# &($()" &($"%% &($+%'

W+J 3

($"/( ($+'% ($*(+ &($"(% &($+%% &($"") ($(#' ($++/

W

8ACTOR DE PARTICIPACION MODAL

〖〗 _1 =

*$,#, FFF 

*$)+"

($*%# 

*$,"'

FFF 

*$,#,

($"%( 

*$,#,

FFF 

*$,#,

($+*+

 *$,#

〖〗 _2 =

*$,#, FFF 

*$)+"

($+'% 

*$,"'

FFF 

*$,#,

($"%) 

*$,#,

FFF 

*$,#,

&($()

 *$,#

〖〗 _3 =

*$,#, FFF 

*$)+"

($+'% 

*$,"'

($*( 

*$,#,

&($"* 

*$,#,

&($+% 

*$,#,

&($"+

 *$,#

〖〗 _4 =

*$,#, FFF 

*$)+"

&($")# 

*$,"'

&($** 

*$,#,

($"/ 

*$,#,

FFF 

*$,#,

&($"+)  *$,#



DETERMINACION DE LA ACELERACION ESPECTRAL Sai=ZUSC/R∗g 03 U3 S3 @3 .3

($'% *$(( *$*( " ),*

 *+$//+ *++$,%* +#'$,(( ,,#$+,(

T *$#(( ($%'+ ($+"% ($"**

C *$'#* "$% "$% "

%$Sai !+$("( /(/$""% /(/$""% /(/$""%

DETERMINACION DE LA 8.ER9A SISMICA i=!"i∗#i∗〖 ɸi 〗 ^$∗Sai

;* 3

FFF

FFF

*$,#, *$)+" *$,"' *$,#,

($(%# ($*%# ($"(, ($"%(

1!"$(//1 !"1$"(( %''$1#/ /(/$(+%#

;" 3

($)#, H

FFF

*$,#, *$)+" *$,"' *$,#,


;+ 3

FFF

FFF


*$,#, *$,#, *$,#, *$##*

($",/ ($+*+ ($++* ($+'*

/"1$'(1! +$"'!1 '(#$#" "$!+1

*$,#, *$,#, *$,#, *$##*

*$,#, *$)+" *$,"' *$,#, *$,#, *$,#, *$,#, *$##*

($"/( ($+'% ($*(+ &($"(% &($+%% &($"") ($(#' ($++/

1$#!1 #%1$+!1# /'$!/+'# B1!"$/+ 3 B#%1$!+ B1++$'(# +($/1%"+ #1+$%"

*$,#, *$)+" *$,"' *$,#, *$,#, *$,#, *$,#, *$##*

H

;' 3

($'"* H FFF

CRITERIOS DE S.PERPOSICION MODAL  8.ER9A DE DISEO %=&'2∗∑▒ 〖 i*&'+√(∑▒i^2 ) 〗

H


NIVEL 1 # ! % + /  '

81 *+)$(// +)*$)(* ',,$#*+ /(/$(%' /)*$,(* #%#$),+ ,("$#", ##)$+%*

8# */)$/#% +)%$)/+ +##$)*, ",,$+,) *(#$#,( &*("$/)( &",'$#() &+#"$(#)

8! *##$"#+ "'*$%+* /,$+// &*+)$/%( &"'*$+'% &*%%$,(" %($/*% "*%$')#


8% "(,$*/% &*'/$'%" &%+$("" *"/$/"+ #%$"%+ &**'$+'' &)+$)** *(%$(+,

0.25

 F i

*#+$%'% ")+$)/" "'#$((% ")($*#) "#)$('% ","$#(% +(#$))* +/#$))*

0.75

 F i "/"$)*% '/,$'#( '/#$,/" %""$,%/ %%,$")" %)*$#(, /'+$#,+ /#"$"(' 2

8d %!/$%/( /#$%!1 1%$'/ '1!$(!% '!$!! '%$%1# "+1$% 1(%($1"+

DETERMINACION DE LAS 8.ER9AS CORTANTES



,i=!"i∗ 〖∅ i 〗^$∗∑▒ 〖#i∗S ai 〗 +)*$)( ',,$#* /(/$(% /)*$,( #%#$), ,("$#+ ##)$+%

',,$#* /(/$(% /)*$,( #%#$), ,("$#+ ##)$+%

/(/$(% /)*$,( #%#$), ,("$#+ ##)$+%

/)*$,( #%#$), ,("$#+ ##)$+%

#%#$),+ ,("$#", ##)$+%*

,("$#", ##)$+%*

##)$+%

Q* 3

*+)$(# +)*$)( ',,$#* /(/$(% /)*$,( #%#$), ,("$#+ ##)$+%

+)%$)/ +##$)" ",,$+) *(#$#, &*("$# &",'$# &+#"$*

+##$)" ",,$+) *(#$#, &*("$# &",'$# &+#"$*

",,$+) *(#$#, &*("$# &",'$# &+#"$*

*(#$#, &*("$# &",'$# &+#"$*

&*("$/)( &",'$#() &+#"$(#)

&",'$#() &+#"$(#)

&+#"$*

Q" 3

*/)$/# +)%$)/ +##$)" ",,$+) *(#$#, &*("$# &",% &+#"$*

"'*$%+* /,$+// &*+)$/%( &"'*$+'% &*%%$,(" %($/*% "*%$')#

/,$+// &*+)$/%( &"'*$+'% &*%%$,(" %($/*% "*%$')#

&*+)$/%( &"'*$+'% &*%%$,(" %($/*% "*%$')#

&"'*$+'% &*%%$,(" %($/*% "*%$')#

&*%%$,(" %($/*% "*%$')#

%($/*% "*%$')#

"*%$')#

Q+ 3

*##$"# "'*$%+* /,$+// &*+)$/%( &"'*$+'% &*%%$,(" %($/*% "*%$')#


Q' 3

"(,$*/% &*'/$'%" &%+$("" *"/$/"+ #%$"%+ &**'$+'' &)+$)** *(%$(+,


&*'/$'%" &%+$("" *"/$/"+ #%$"%+ &**'$+'' &)+$)** *(%$(+,

&%+$("" *"/$/"+ #%$"%+ &**'$+'' &)+$)** *(%$(+,

*"/$/"+ #%$"%+ &**'$+'' &)+$)** *(%$(+,

#%$"%+ &**'$+'' &)+$)** *(%$(+,

&**'$+'' &)+$)** *(%$(+,

&)+$)** *(%$(+,

*(%$(+,

DETERMINACION DEL CORTANTE APLICANDO EL CRITERIO DE S.PERPOSICION ,=&'2∗∑▒ 〖,i*&'+√(∑▒ ,i^2 ) 〗 NIVEL 1 # ! % + /  '

01 +,#,$"'/ '%*,$%+* '*"/$/+( +/+#$)*# +(+*$,/+ "+'($(/" *%,"$(#) ##)$+%*

0# )%"$+"% '*($%#* *'$/(, &+/+$+() &/%*$/), &#%)$'#, &/%/$#,, &+#"$(#)

0! ($),, +)$"*" &"("$+*) &"#($/,% &*+*$(+% **($+*( "//$**" "*%$')#

0% "$+*" &*(($,*/ '%$/+/ ),$/%) &"#$)/' &*(+$"*# **$*"# *(%$(+,

0.25

Q

i

*"(,$'/, *"/#$"," *()#$"), *()"$/'+ )/($/'( ,",$"/# /")$("/ +/#$))*

0.75

 Qi

2

"))%$()% +'(+$,"/ +(),$,), "#%($%** "+",$((% *,',$/'+ *+(($*," /#"$"('

0d %#(!$ %/1$ %1"/$ !'%!$ !#''$ #//$ 1"#"$ 1(%($



.=ZUCS/R∗∑1▒ P@ME!@IS S>SMI@ES>S!EJ!ES Ubicaci2n ;actor 0ona$ ;actor Suelo$ ;actor de Uso$ ;ator de @educci2n de ;uerGa S-smica$ ;actor de mplicaci2n S-smica X Pesos

03 S3 U3 @3 C3 P3

($'% *$*( *$(( "$(( "$%( *'/+$+*

V3 VEst 3

)(%'$"(' #"'+$+/ RJ

CI@!J!E ES

VDin 3

'"(+$%/ RJ

CI@!J!E D>

VEst 8 VDin

3

#"'+$+/ RJ

8 '

DETERMINACION DE LOS DESPLA9AMIENTOS

FFF

+%#$()(

($(%# ($*%# ($"(, ($"%(

%$'"( *'$,', *)$/** "+$/"*

($)#, H

/(/$))'

($*% ($+' ($+' ($"%


*+$//

($",/ ($+*+ ($++* ($+'*


"/$)/+ ")$%'+ +*$",# +"$"(*

*++$,%

($() &($( &($" &($+


(#$" B#

m# 1$''

,%"$# B,

%$##" $+"" FF

%$)'* ($*/) *'+$#)%

FFF

($(

&"$+"% &($/'# &%%*$''" FFF

($",/

*$",) *$((+ ,%%$+)%

FFF

Re)to (

FFF

&($'%* $(), )$(%

Re)to (

FFF

$*/' FF

Re)to

FFF

&*$/#, $(#+ FF

($%+% ($),/ ,'($,*

FFF

( ((( +"' +)# $#,,

m, 1$1

($( ,'($,+

W'* W'" W'+ W''

Re)to

3 3 3 3

( *$((( &($/,' &($"/" ($/(,



W'% W'/ W'# W',

$+/* $,#) $",/ $",)

3 3 3 3

($+/" &($%') &($'%* ($%+%

Segunda 8orma Modal ω2 3 T 3 f 3

### rad/seg

0.543 seg 1.841 Hertz

3

Cuarta 8orma Modal ω2 3 T 3

,,#$+, rad/seg 0.211 seg


UJ>VE@S>DD JC>IJL PED@I @U>0 KLLI >JKEJ>E@> C>V>L f

3

4.741 Hertz

1

$,#, FFF 

*$##*

FFF 3

1$%1+

$,#, &*$/, 

*$##*

&"$+" 3

/$+/'

$,#, ($") 

*$##*

*$") 3

!$'%(

$,#, &($'% 

*$##*

($%+ 3

#$!(!



($'+' &($")# &($**' ($"/' 'J 3 ($*%# &($"+) &($*)/ ($"+"

, FFF 

*$##*

FFF 3 !$/1#

, &($"/ 

*$##*

&($+% 3 ($"'

, FFF 

*$##*

FFF 3 ($+"

, &($"( 

*$##*

($"+ 3 ($%#1



($*%" ($+'% ($+') ($"%)

1/"$/%' !"+$"/# !$"1+ #''$!''/



($()# &($()" &($"%% &($+%'

1($'(# B1(#$/"(# B#'%$('' B!#$("#

($'+' &($")# &($**' ($"/' ($*%# &($"+) &($*)/ ($"+"

#('$1/+# B1%/$%+#1 B+!$(##%+ 1#/$/#!1 3 +$#+#+# B11%$!%! B"!$"1(/' 1(+$(!+





!''$#+ %+1'$+!1 %1#/$/!( !/!$"1 !(!1$'/! #!%($(/# 1+'#$(" "$!+1

"+#$!#+ %1($+1 1%$/(' B!/!$!(" B/+1$/"' B+"$%' B/+/$'' B!#$("

($"'' !"$#1# B#(#$!1" B#($/'+ B1!1$(!+ 11($!1( #//$11# #1+$%"



#$!1# B1(($'1/ %+$/!/ "'$/+" B#$"/% B1(!$#1 11$1# 1(+$(!'

MODAL

/# (" " +% %+ (" (' "+



!>CI M>CI (+$%/ RJ

" % ) )

($/#% *$%+* *$%', *$*'#




ANALISIS MODAL ESPECTRAL B 2METODO DE HOL9ER3

# 1($/#(

*/ # 1(#$/((

*+# # #'/$/%(

")# # /"$(((

#+($) B*

m* 1$''

3  3 *$((( ;r 3 #+($)( ;i 3

*$(((

+##$( B"

m" 1$"!#

/+#$/ B+

m+ 1$'#%

"$,,/ *$,,/ FFF

/#+$) B'

+$)(, *$("" /%*$#/

m' 1$''

/#+$) B%

'$#/+

m% 1$''

/#+$) B/

%$'#/

($,%% %#/$(/

($#*' ',*$(,"

m/ 1$''

/#+$) B#

/$(", ($%%" +#*$,/%

m# 1$'' /$'("

($+#+ FFF

($

*)$)'+

%)$"((

#%$/)'

)'$),(

*()$"*/

FFF

FFF

*$((( 3  3 *$((( ;r 3 #+($)( *)"$//) ;i 3

"$'"#

"$%*#

*$)(+

($#'%

&($/"/

&*$,*,

*$'"# FFF

*$((( 3  3 *$((( ;r 3 #+($)( %+,$"#* ;i 3

($%** FFF

($()( %#$() ',*$*+,

T 1$"#' ($/#( ($!1 ($#!'

'#*$("'

*$%**

,+/$/+(

($(( "$,( %$/( ,$'( **$"( *'$((

&+))$"(

3 3 3 3 3

($((( *$((( "$,,/ +$)(, '$#/+ %$'#/

/+%$+'

W"* W"" W"+ W"' W"%

3 3 3 3 3

( *$((( "$'"# "$%*# *$)(+ ($#'%

*$ FFF

&($'// &($,(, &%''$+'(

''#$#%*

($+'" *$+*, FFF

FFF

($+'" &($*'+ &)/$%,)

&( FFF

&($)#% ($%+) +/"$)%%

&,*'$,#/

($',% ($#)) %+,$#%

&*$*)" FFF FFF

&*$%*' &($/#* &'%*$)"*

&'%+$)""

&($+*' ($"*) *+)$%/

&*$+#* &)"'$(** *'+$'/'

&($,'+ &*$+'' &)(%$,'

"/*$,'*

W** W*" W*+ W*' W*%

&*$*%, &#,($%'# +//$/*/

($%(* &*$(*( &/''$((

*$((( &($%++ 3 &*$%++  3 *$((( &%##$)# ;r 3 #+($)( *+(,$,#* &#*#$%"# ;i 3

#  1($/# !$#+" ??? ??? ??? ??? /"$(( ???

&($/*' &'*+$)+

&($+/) ($()# /%$**

FFF

W+* W+" W++ W+' W+%

3 3 3 3 3

/

($ % FFF

( *$((( *$%** ($%(* &($,'+ &*$%*'


>JKEJ>E@> J!>S>SM>C */$,( *)$/( ""$'(

W*/ 3 W*# 3 W*, 3

/$(", /$'(" /$%,/

W"/ 3 W"# 3 W", 3

&($/"/ &*$,*, &"$')*

W+/ 3 &($)#% W+# 3 ($+'" W+, 3 *$+,/



25.2,

25.2,

22.4,

22.4,

19.6,

19.6,

Primera 8orma Modal

egund

16.8,

16.8,

ω2 T f

14.,, 11.2,

3 3 3

10.620

1.928 0.519

rad/seg seg Hertz

ω2 3 T 3 f 3

14.,, 11.2,

8.4,

8.4,

5.6,

5.6,

2.8,

2.8, ,.,,

,.,,

-3

,.,,,1.,,,2.,,,3.,,,4.,,,5.,,,6.,,,7.,,,

-2

-1

25.2,

25.2,

22.4,

22.4,

19.6, 16.8, 14.,, 11.2,

Ter6era 8orma Modal ω2 T f

3 3 3

286.640 rad/seg

0.371 2.695

seg Hertz

19.6, 16.8, 14.,, 11.2,

8.4,

8.4,

5.6,

5.6,

2.8,

2.8,

,.,,

,.,,

,

1

2

3

Cuarta ω2 3 T 3 f 3

UJ>VE@S>DD JC>IJL PED@I @U>0 KLLI >JKEJ>E@> C>V>L -2

-1

-1

,

1

>JKEJ>E@> J!>S>SM>C 1

-1 -1

2

,

,

,

,

,

1

1

1

1

NORMALI9ACION DE MODOS √(∑▒ 〖∗〖 ɸ1 〗 ^2 〗 )=

*$,#, FFF 

*$)+"

"$,,/ 

*$,"'

FFF 

*$,#,

'$#/+ 

*$,#,

%$'#/ 

*$,#,

√(∑▒ 〖∗〖 ɸ2 〗 ^2 〗 )=

*$,#, FFF 

*$)+"

"$'"# 

*$,"'

FFF 

*$,#,

*$)(+ 

*$,#,

($#'% 

*$,#, &($/+  *$,#, &*$,"  *$

√(∑▒ 〖∗〖 ɸ3 〗 ^2 〗 )=

*$,#, FFF 

*$)+"

*$%** 

*$,"'

($%( 

*$,#,

&($,' 

*$,#,

&*$%* 

*$,#, &($),  *$,#, ($+'  *$

√(∑▒ 〖∗〖 ɸ4 〗 ^2 〗 )=

*$,#, FFF 

*$)+"

&($%++ 

*$,"'

&($+* 

*$,#,

($') 

*$,#,

($+' 

*$,#, &($'#  *$,#, &($+#  *$

($(%" ($*%*

($*'* ($+'*

($"+# ($+%,

FFF  *$,#, FFF  *$

($',+ &($"%,


W*J 3


($"(' ($"') ($",/ ($+*% ($++' ($+''

($+%' ($"/, W"J 3 ($*(% &($(,, &($"%/ &($+%(

($**) &($"(( W+J 3 &($+%) &($"+* ($(,* ($+")

&($*%" ($"+% W'J 3 ($*/% &($""% &($*#, ($"*%



8ACTOR DE PARTICIPACION MODAL

〖〗 _1*$,#, FFF  =

*$)+"

($*%* 

*$,"'

FFF 

*$,#,

($"') 

*$,#,

FFF 

*$,#, ($+*%  *$,#, FFF  *$##

〖〗 _2*$,#, FFF  =

*$)+"

($+'* 

*$,"'

FFF 

*$,#,

($"/, 

*$,#,

FFF 

*$,#, &($()  *$,#, &($"/  *$##

〖〗 _3*$,#, FFF  =

*$)+"

($+%, 

*$,"'

($*" 

*$,#,

&($"( 

*$,#,

&($+/ 

*$,#, &($"+  *$,#, FFF  *$##

〖〗 _4*$,#, FFF  =

*$)+"

&($"%, 

*$,"'

&($*% 

*$,#,

($"+ 

*$,#,

FFF 

*$,#, &($""%  *$,#, &($*,  *$##

DETERMINACION DE LA ACELERACION ESPECTRAL Sai=ZUSC/R∗g 03 U3 S3 @3 .3

($'% *$(( *$*( " ),*

 *($/"( *("$/(( ",/$/'( /)#$(((

T *$)", ($/"( ($+#* ($"+,

C *$")# "$% "$% "

%$Sai !1%$'#! /(/$""% /(/$""% /(/$""%



DETERMINACION DE LA 8.ER9A SISMICA i=!"i∗#i∗ 〖 ɸi〗 ^$∗Sai

;* 3

;+ 3

FFF

FFF

FFF

FFF

*$,#, *$)+" *$,"' *$,#, *$,#, *$,#, *$,#, *$##*

*$,#, *$)+" *$,"' *$,#, *$,#, *$,#, *$,#, *$##*

H

($(%" ($*%* ($"(' ($"') ($",/ ($+*% ($++' ($+''

11($"# !#"$#'+ %#1$(#' +#'$! 3 /($%'+ //'$/"! 1($11! /'"$11%

H

($"+# ($+%, ($**) &($"(( &($+%) &($"+* ($(,* ($+")

1/!$!'/ #+!$"+ "$%'" B1!$' 3 B#%$!+ B1+"$!+ ++$"1"! #1!$/'

;" 3

;' 3

1

*$,#, ($*'* *$)+" ($+'* *$,"' ($+%' *$((" H /(/$))' *$,#, ($"/, H *$,#, ($*(% *$,#, &($(,, *$,#, &($"%/ *$##* &($+%(

3

*$,#, ($',+ *$)+" &($"%, *$,"' &($*%" ($%(# H /(/$))' *$,#, ($"+% H *$,#, ($*/% *$,#, &($""% *$,#, &($*#, *$##* ($"*%

# B B' 1 3 " B B 1

! ! 1 B B B



CRITERIOS DE S.PERPOSICION MODAL  8.ER9A DE DISEO %=&'2∗∑▒ 〖 i*&'+√(∑▒i^2 ) 〗

NIVEL 1 # ! % + /  '

81 **($)"# +")$",% '"*$(", %",$+(( /(#$',% //,$/)+ #*($**+ /,)$**'

8# */($%/' '(($)/% +)"$%+/ +(%$%"/ **)$%%) &*(($%,) &")*$),( &+##$"+(

8! */+$+,/ "%+$)%( #)$'#) &*+#$#,+ &"'#$+'# &*%)$+%" %%$)*) "*+$/,#

8% "#)$+#% &*%+$*%' &,%$"(, *+%$/*+ )%$%#* &*+($(,% &*(+$()% **#$(,#

0.25

 F i

 F i ",+$'', '',$"*' ''($'#) ',($*+( %(%$*%( %+($*() %,"$%", /*/$,)/

0.75

*#,$%/+ ",'$++) "''$%/+ "#/$,(% "/#$')( "/'$/,( ")($"## +')$",(

2

8d '/"$(** #+"$%%+ /,%$('" #%/$)+% ##"$/'( #)'$#,) ,#"$,(% )//$*#/

DETERMINACION DE LAS 8.ER9AS CORTANTES ,i=!"i∗〖- i 〗 ^$∗∑▒ 〖 #i∗S ai 〗

Q* 3

**($)"# +")$",% '"*$(", %",$+(( /(#$',%

+")$",% '"*$(", %",$+(( /(#$',% //,$/)+

'"*$(", %",$+(( /(#$',% //,$/)+ #*($**+

%",$+(( /(#$',% //,$/)+ #*($**+ /,)$**'

/(#$',% //,$/)+ #*($**+ /,)$**'

//,$/)+ #*($**+ /,)$**'

#*($**+ /,)$**'

/,)$**'

3

??? ??? ??? ??? ???


//,$/)+ #*($**+ /,)$**'

#*($**+ /,)$**'


/,)$**'

??? ??? /'"$11%



'(($)/% +)"$%+/ +(%$%"/ **)$%%) &*(($%,) &")*$),( &+##$"+(

+)"$%+/ +(%$%"/ **)$%%) &*(($%,) &")*$),( &+##$"+(

+(%$%"/ **)$%%) &*(($%,) &")*$),( &+##$"+(

**)$%%) &*(($%,) &")*$),( &+##$"+(

&*(($%,) &")*$),( &+##$"+(

Q" 3

*/($%/' '(($)/% +)"$%+/ +(%$%"/ **)$%%) &*(($%,) &")*$),( &+##$"+(

"%+$)%( #)$'#) &*+#$#,+ &"'#$+'# &*%)$+%" %%$)*) "*+$/,#

#)$'#) &*+#$#,+ &"'#$+'# &*%)$+%" %%$)*) "*+$/,#

&*+#$#,+ &"'#$+'# &*%)$+%" %%$)*) "*+$/,#

&"'#$+'# &*%)$+%" %%$)*) "*+$/,#

&*%)$+%" %%$)*) "*+$/,#

Q+ 3

*/+$+,/ "%+$)%( #)$'#) &*+#$#,+ &"'#$+'# &*%)$+%" %%$)*) "*+$/,#

"#)$+#% &*%+$*%' &,%$"(, *+%$/*+ )%$%#* &*+($(,% &*(+$()%

&*%+$*%' &,%$"(, *+%$/*+ )%$%#* &*+($(,% &*(+$()% **#$(,#

&,%$"(, *+%$/*+ )%$%#* &*+($(,% &*(+$()% **#$(,#

*+%$/*+ )%$%#* &*+($(,% &*(+$()% **#$(,#

)%$%#* &*+($(,% &*(+$()% **#$(,#

&*+($(,% &*(+$()% **#$(,#

Q' 3

&")*$),( &+##$"+(

%%$)*) "*+$/,#

&*(+$()% **#$(,#

FFF

3

"'/$+'# %%'$'' %$'## ??? ??? ??? ??? ???

3

'$#+! +'$++% ??? ??? ??? 11($#++ #/"$/( #1!$/'

"*+$/,#

**#$(,#

3

!"$(1 ??? #"$''! 11+$("1 B#($+#1 ??? 1!$""#


**#$(,#


11$('



DETERMINACION DEL CORTANTE APLICANDO EL CRITERIO DE S.PERPOSICION MOD ,=&'2∗∑▒ 〖 ,i*&'+√(∑▒ ,i^2 ) 〗 NIVEL 1 # ! % + /  '

01 ++#%$,+* +)%'$(*, +/"'$#++ +"(+$#(% "/#%$'(% "(/#$)"( *+))$""# /,)$**'

0# ),/$%," '',$#,, '#$,"" &+''$#*' &/%($"'( &#/)$#)) &//)$"*( &+##$"+(

0! ,$"%+ %,$%%' &*)%$+)/ &"#'$,#% &*+#$()" **($"%% "/)$/(# "*+$/,#

0% +)$(*# &*"+$"#* ")$,,+ **%$()* &"($%"* &**/$()+ *+$))" **#$(,#

0.25

 Qi

0.75

**("$'"* **'/$*%, )#'$'%) ),'$%)/ ,#($,*% #//$(*# %,,$(() +')$",(

 Qi

2

"/+#$)%( "),/$+() "#""$,"% "'"/$)/( "(/#$%,+ */%)$"/# **,($#%) /*/$,)/

0d !%($!1 %1!#$%/ !/"$#'% !%11$++ #"!'$!"' #%#+$#'% 1/'$/' "//$1/

CORTANTE POR EL METODO ESTATICO .=ZUCS/R∗∑1▒

P@ME!@IS S>SMI@ES>S!EJ!ES Ubicaci2n ;actor 0ona$ ;actor Suelo$ ;actor de Uso$ ;ator de @educci2n de ;uerGa S-smica$

03 S3 U3 @3

($'% *$*( *$(( "$((

V3 VEst 3

)(%'$"(' #"'+$+/ RJ

CI@!J!E ES!!>CI


;actor de mplicaci2n S-smica X Pesos


C3 P3

"$%( *'/+$+*

VDin 3

+#'($+# RJ

VEst 8 VDin

CI@!J!E D>JM>CI

3 #"'+$+/ RJ 8 +#'($+# RJ



DETERMINACION DE LOS DESPLA9AMIENTOS ($(%" ($*%* ($"(' FFF +*'$,"+ ($"') * 3 *($/" ($",/ ($+*%

3

%$%/" */$(%( "*$#+/ "/$')* +($'/* ++$%+(

" 3

($*'* ($+'* ($+%' FFF /(/$))' ($"/, *("$/( ($*(% &($(,,

3

($,++ "$("+ "$(), *$%,/ ($/"* &($%""


($++' ($+''


+%$/(# +/$/+*

&($"%/ &($+%(

&*$%*% &"$(#/


($"+# ($+%, ($**) FFF /(/$))' &($"(( + 3 ",/$/' &($+%) &($"+* ($(,* ($+")


3

($+(' ($'%) ($*%" &($"%/ &($'/( &($")/ ($*(' ($'"*

($',+ &($"%, &($*%" FFF /(/$))' ($"+% /)#$(( ($*/% &($""% &($*#, ($"*%

' 3

($"*+ &($**' &($(/# ($*(' 3 ($(#+ &($()) &($(#) ($()%

DESPLA9AMIENTOS 8INALES  DISTORSIONES NIVEL 1 # ! % + /  '

1 %$%/" */$(%( "*$#+/ "/$')* +($'/* ++$%+( +%$/(# +/$/+*

# ($,++ "$("+ "$(), *$%,/ ($/"* &($%"" &*$%*% &"$(#/

! ($+(' ($'%) ($*%" &($"%/ &($'/( &($")/ ($*(' ($'"*

% ($"*+ &($**' &($(/# ($*(' ($(#+ &($()) &($(#) ($()%

0.25

 X i

*$#", '$//* /$(*+ #$*() #$)(' ,$/*" )$+"/ )$,(%

0.75

 X

2

i

'$""# *"$*+, */$+#, *)$)(% ""$,%+ "%$*%" "/$#+( "#$%*)

Xi

3 / 4 RXi

D>S!I@S>YJ

%$)%/ */$,(( ""$+)* "#$(*' +($#%# ++$#/' +/$(%/ +#$+"'

+%$#++ FFF FFF FFF FFF FFF FFF FFF

($*", ($"+" ($*"( ($()) ($(,( ($(/' ($(') ($("#

Jor ($( ($( ($( ($( ($( ($( ($( *$(


#+$) B,

m, 1$1 /$%,/

$*,' FF

Re)to (

FFF &"$')* $/#" FF

Re)to (

FFF *$+,/ $('' FF

Re)to (

FFF ($''' $,*+ ,$**

( %',$%%

W'* W'" W'+ W'' W'%

Re)to

3 3 3 3 3

( *$((( &($%++ &($+*' ($',% ($+'"



W'/ 3 &($'// W'# 3 &($+/) W', 3 ($'''



8orma Mod ### rad/seg

0.620 seg 1.612 Hertz

8orma Modal /)#$(( rad/seg 0.238 seg 4.202 Hertz



$##* FFF 3

1"$1+1

$##* &"$') 3

$11!

$##* *$+) 3

%$#1"

$##* ($'' 3

#$(/"





* FFF 3 !$+"!

* &($+% 3 1$((#

* FFF 3 ($/(+

* ($"* 3 ($+(



($/ (1 #$+ +$+ "$/ (1 "# 

"$% +! +$#1 +$/ $+ !( (! $1











L






EXCEL DE ANALISIS MODAL - ANTISISMICA

Recommend Documents