Metodo Muto (ANALISIS ESTATICO)

7/21/2019 Metodo Muto (ANALISIS ESTATICO)

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EXAMEN PARCIAL DE ANTISIS

CALCULO DE MASA Y CENTRO DE MASA VERSION SIMPLIFICADA

Lado x mayor a ejes 10 ado yLado x mayor a ejes ! ado y

Des"r#$"#o% P x&Losas!x! 1&'00 ()(osa*x! *+00 ,)(V#-as A &*00 0)(V#-as . &*00 !)(V#-as C ,(0 10)(V#-as 1y! (!00 ()(V#-as (y& *000 ')(P#so / "#eoF ,(),' ()(

P#so / "#eoF &',0 ,)&('Com%as A 1+(0 0)(Pa"as A (!00 0)(Com%as. &!0 !)(Com%as C 1'00 10)0Mro C 4387.5 10)(Total CM 61626.25

0)('CVR (*0&)1(' ()(0)('CVR 1(,' ,)&('TOTAL CV 3878.125

Peso 2o2a masa y "e%2ro de masa

P3 *''0!)&M= 6677.306 UTM 4.17

RI4IDES Y CENTRO DE RI4IDE5RI4IDECES DE PORTICOS DE CONCRETO POR FORMULAS DE MUTO

6" (10 E3 (1,&,7 0)( 43 +0',1

RIGIDECES EN DIRECCION

!ORTICO 1 " 4

COLUMNA 1A Y COLUMNA 1.Iy3 0)00(1&&&&&& I"8L" 3 0)000!(****,

VI4A 1A. 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000,(&&,+*

VI4A DE CIMENTACION 1A. 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00&''''''*



9:3 ')01!&,,1, a3 0),1!,1&&!

;1x3 *&*!')(*,+0&!+;!x3 *&*!')(*,+0&!+

!ORTICO 2 " !ORTICO

PLACA &A 1)00 x 0)(0 L3Iy3 0)000******, I78L7 3 0)0001&&&&&&

VI4A &A. 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000,0&(

VI4A DE CIMENTACION &A. 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00&!'+!'+'

9:3 1')*1(&&10 a3 0)*!!&1+,*

;x&A3 1(&&1+)'10!,1+*1

COLUMNA &. 0)!0 x 0)!0 L3Ixx3 0)00(1&&&&&& I78L7 3 0)000!(****,

VI4A DE CIMENTACION &.C 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00(&'+!!,

VI4A DE CIMENTACION &A. 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00&!'+!'+'

VI4A &.C 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000!00&0,

VI4A &A. 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000,0&(

9:3 )(0*&**!(! a3 0)0!0!&,*!

;x&.3 &',+!0)&0,+,'!

COLUMNA &C 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000'(0&&&



VI4A DE CIMENTACION &.C 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00(&'+!!,

VI4A &.C 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000!00&0,

9:3 (),('+*1 a3 0)',*000*(!

;x&C3 &1&!!)'1(+&&+01

;&x3 ,+!,0)&&1&+&,1*;(x3 ,+!,0)&&1&+&,1*

RIGIDECES EN DIRECCION "

!ORTICO A

COLUMNA 1A y !A 0)!0 x 0)!0 L3Ixx3 0)00(1&&&&&& I78L7 3 0)000!(****,

VI4A A1( 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000,+1!1!

VI4A DE CIMENTACION A1( 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00&,,,+

9:3 ')!,0((+*! a3 0),&((,0*1&&

;y1 y ;y!3 &('+)*&'1,(+

PLACAS (A Y &A< 0)(0 x 1)00 L3A3 0)( 1)( =3

Ix>3 0)01*******,Ixe3 0)01!+!'00(! I"8L"3 0)00(++000'

VI4A A1( 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000,+1!1!

VI4A DE CIMENTACION A1( 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00&,,,+

VI4A A(& 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000*0''*

VI4A DE CIMENTACION A(& 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00!(*****,

?3



9:3 1)*&+,,'!'';:a3 1!0'010)!,!**1

;yA3 &!*1++)+,(*

!ORTICO #COLUMNA 1. y !. 0)!0 x 0)!0Ixx3 0)00(1&&&&&& I78L7 3 0)000!(****,

VI4A .1( 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000,(&&,+*

VI4A DE CIMENTACION .1( 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00&''''''*

9:3 ')01!&,,1, a3 0),1!,1&&!

;y1 y ;y!3 &1(!()+1&&+'1,!

COLUMNA &. y !. 0)!0 x 0)!0Ixx3 0)00(1&&&&&& I78L7 3 0)000!(****,

VI4A .1( 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000,(&&,+*

VI4A DE CIMENTACION .1( 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00&''''''*

VI4A .(& 0)(' x 0)'0 L3Ixx3 0)00(*0!1**, I78L7 3 0)000,(&&,+*

VI4A DE CIMENTACION .(& 0)&0 x 0)0Ixx3 0)01( I78L7 3 0)00&''''''*

9:3 10)0(,'!&! a3 0)&&,&1,!!'

;y( y ;y&3 &,11'*)*0,!&0,&(;y.3 1&,,++)0!1*'11

MURO CSECCION AL.A@ILERIA

.m x m0)(' &),'

Im3 1)0+*&(1('

CONCRETO." x " A3



eax3 0)'1*('

ESPECTRO DE RE4LAMENTOBo%a 1 5 0)1'2#$o de so U 1)&2#$o de seo ( S 1)( T$ 0)*

s#s2ema de "o%"re2o armado R *C ()'

ES!ECTRO DE /UERA

C8R3 0)!1*******, 0)1('sa63 0)+'*!,'

ES!ECTRO !ARA DES!LAAMIENTO

Sad3 !)&0!1&,'

ECUACION DIFERENCIAL EN UNA COORDENADA DE DESPLAZAMIENTO

;y ((+&!,!)!1!!MaB **,,)&0* UTM

%( &!&')(*(011% ')*11&&'('(

PRE4UNTA N1CALCULO DEL CORTE " DE!LAAMIENTO EN EL EE A

MASA TOTAL M3 **,,)&0* UTMRI4IDE5 TOTAL EN Y ;y3 ((+&!,!)!1!&'RI4IDE5 DEL EE A ;yA3 &!*1++)+,(*&'&RI4IDE5 DE LA PLACA (A 9y(A3 1!0'010)!,!**1DISTANCIA GXHX9 de eje A H)1&00+!&0&'R#-#deB Tor"#o%a ;T3 &)*E/0

Des$aBam#e%2o y a"eera"#o% max#mas e% d#re""#o% Y)Para 6erBas

5max3 0)000(, m aBmax

6erBa 2o2a Vx *&*)*,*'*&6erBa e% $a"as (A $or des$aBam#e%2o %#6orme<;y(A:Bmax3 &+1)1+(0+!! 9-

FerBa e% e eje A y $a"a (A $or 2ors#o%Vy ex MT 4IRO XHX9 des$"*&*)* H!)1* H(*'*+)((!+ H,)((EH0' H)1&00+ '),EH0!

FerBa e% e eje A y $a"a (A $or 2ors#o% ACCIDENTALVy ex MT 4IRO XHX9 des$"*&*)* 0)'1*(' &(+,)1(1,,' )+*EH0* H)1&00+ H,)(+EH0'



FUER5A TOTAL PLACA A Y DESPLA5AMIENTO TOTAL EN PORTICO AV PLACA

DESPLA5AMIENTO UNIFORME &+1)1+(0+!!!* TORSION NO ACCIDENTAL (')1&('(*1 TORCION ACCIDENTAL H10()&+'(!++*

TOTAL PLACA 1&1),1+,&0&

DESPLA5AMIENTO 0),':R:ymaxD8



ICA

1(!

y Px Py*)( (+,00 &,00*)( !+*0 !(,0*)( ,(0 ((&(0*)( 1'1(0 ((&(0*)( ,&!! !!*!*)( '(0 1!0*)( &1(00 &,(00*)( 1*0&' !'1+0)('

*)( (*1'0 ((1&!*)( &! 11+0!*)( !0 1!0*)( 1*1( (&0*)( 1'11& +&00*)( !!,'& (,(0()'

382082.8

*)( ',(*)+ 1*1&+)&,'*)( +&&+)! ,+0'

15066 24044.38

(,&1'& !0*1(,)1&6.20

)*'11+(!( ()(E/0+ 9-8m()10!**&*! +)1E/0 9-8m(

;x3 !!'1,')0+&*!(+!

&)*

L3 &)*



a:;"3 &1(!()+1&&+'1,!

';x3 1&+11,)(1*,*&!1+

&),

L3 &),

a:;"3 1(&&1+)'10!,1+*1

';x3 !!'1,')0+&*!(+!

L3 ')!('

L3 &),

')!('

&),

a:;"3 &',+!0)&0,+,'!

' ;x3 '!&!(*)*(,+(10!



L3 ')!('

')!('

a:;"3 &1&!!)'1(+&&+01

';x3 !!'1,')0+&*!(+!

&)&

L3 &)&

a:;"3 &('+)*&'1,(+

'0)11'(

;x3 &11**0),0',,+*'

&)&

L3 &)&

&

L3 &



a3 0)!'0'1,&,+1;y( y ;y&

'&

L3 ';x3 !!'1,')0+&*!(+!

&)*

L3 &)*

a:;"3 &1(!()+1&&+'1,!

L3 ';x3 !!'1,')0+&*!(+!

&)*

L3 &)*

&)*

L3 &)*

a:;"3 &,11'*)*0,!&0,&(

E"3 ()(E/0+ 9-8m(Em3 &)&E/0 9-8m(4m3 1)&E/0 9-8m(

0)1('



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63 1

(++10'

!000+(*,*

X;y Y;x0 1(,(+,)1*'&'0,0 &&&,,,!)++1'&*10 *'1**0)&1,!(!,0 ,,*'1(,)0*!(('

*+(&++),+!'(, 0',+0+'')+,!+! 0

1!'+*(++)(1 0

1+10,+*'')0' 1,,!*0,)'*1!(!

X93 )&&00+!&0&' Y93 *)(

!)1,*)(0

)&&*)(

H!)1*0)00



s%.5Xm8Xo

0)+'*!,' m8s(

EE PLACA(0&&)1',(&(', (')1&('&

EE PLACAH('()&0',0&!1' H10()&+'(



DESP0)000(,'),EH0!

H,)(+EH0'

0)000+&+

0)00!((&*('&'

0)000!!,('1 J 0)00'



F" (10 PESO (!00 Fm3"ar-a 7#7a 2e"Kos (00 Em3osa a#-erada &(0 4m3$#so / "#eo raso 1!0

osas !x!< a%"Ko< &),' ar-o< &),'

osa *x!< a%"Ko< '),' ar-o< &),'

SECCIONES"om%as eje A y .< 0)!0 x 0)!0Com%as e% eje C 0)(' x 0)'0$a"as 0)(0 x 1)007#-as 0)(' x 0)'0 ex"e$2o eje CV#-as e% eje C 0)(' x 0)&07#-as de "#me%2a"#o% 0)&0 x 0)0Mro de aa#er#a de 0)('m e%a eje C)

ALTURA ' m



XHX9 YHY9 GXHX9(;y GYHY9(;xH*)1&00+!&0&' H* 0 ((+1&!+),*!!'&H&)1&00+!&0&' H( 0 &1,&&)&('',!+H&)1&00+!&0&' ( 0 &1,&&)&('',!+H*)1&00+!&0&' * 0 ((+1&!+),*!!'&H)1&00+!&0&' 0 ((&(,0)!*0 0H!)1&00+!&0&' 0 (&'1+111)&+,1, 0

1)*++0'*+*' 0 *&(,+&1)0(((1 0

&1'*&1(01)**,!, '(1!*!*)100''



1'),0!,)*+,*0)&(+&(

0)0'0)10!' 0)1(1'*

1)1(0



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Metodo Muto (ANALISIS ESTATICO)

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