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ANALISIS
1° CALCULO DE LA MATRIZ DE MASAS DE LA ESTRUCTURA: M
1.1. masa de cada piso
MASAS POR PISO
PISO WuTo!" m#o!$m%se&'"
1 ().(1' *.*+*
' )1.),- *.*),
1.'. Mome!#o poa/ de i!e/cia
CENTRO DE MASAXm= 323.68 cm
Ym= 963.16 cm
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1.'.1. PARA EL PRIMER PISO
A1
A'
A,
012 0'2
0,2
01°2
1.'.'. PARA EL SE3UNDO PISO
A1
A'
A,
012
0'2
0,2
0'°
1.,.MATRIZ DE MASAS
*.*+*
PRIMER PISO M12 *
*
*.*),
SE3UNDO PISO M'2 *
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*
'° CALCULO DE LA MATRIZ DE RI3IDEZ DE LA ESTRUCTURA: 4
PRIMER PISO:
CE
Xm=
Ym=
ELEMENTO 4LTo!%cm" 5i cm
PORTICO 1 214.996 *
PORTICO ' 22.162 *PORTICO , 22.162 *
PORTICO 6 214.996 *
PORTICO A 747.275 *
PORTICO 7 747.275 )**
ELEMENTOS DIRECCIONADOS EN 585 AL9A2*"
4181°2 '16.++
4'81°2 ''.1'
4,81°2 ''.1'
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4681°2 '16.++
ELEMENTOS DIRECCIONADOS EN ;8; AL9A2+*"
4 A81°2 )6).')-
4 781°2 )6).')-
41°
SE3UNDO PISO
ELEMENTO 4LTo!%cm" 5i cm
PORTICO 128.698
*PORTICO ' 46.201 *
PORTICO , 46.201 *
PORTICO 6 28.698 *
PORTICO A 1394.272 *
PORTICO 7 1394.272 )**
ELEMENTOS DIRECCIONADOS EN 585 <2*"
418'°2 '(.+(
4'8'°2 6.'*1
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4,8'°2 6.'*1
468'°2 '(.+(
ELEMENTOS DIRECCIONADOS EN ;8; AL9A2+*"
4 A8'°2 1,+6.')'
4 78'°2 1,+6.')'
4'° 2
,° CALCULO DE LOS PERIODOS ; 9ORMAS DE MODO DE =I7RACI
SE UTILIZO EL PRO3RAMA 0ACO7I '**'
,.1. PRIMER PISO
PROPIEDADES DINAMICAS
w(rad/seg) T(seg)
1 72.436 0.08674
' 128.538 0.04888
, 163.252 0.03849
3.3315033631
>1 0.0089213380
-0.0002318941
-0.0189201824
>' 3.3194249441
-0.0006395762
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0.1088047769
>, 0.3040551947
0.0069891713
,.'. SE3UNDO PISO:
PROPIEDADES DINAMICAS
1 45.262 0.13882
' 154.732 0.04061
, 196.249 0.03202
3.7008821656
>1 0.0026807351
-0.0000964047
0.0456591308
>' -0.5437426543
0.0077119020
0.0040714850
>, 3.6610062656
0.0011454633
6° CALCULO DE LOS 9ACTORES DE PARTICIPACION MODAL
PRIMER PISO:
MODO: 1 4 m?
1
1 *.*+ ,.,,1-*,,,1
' *.*+ *.**(+'1,,(
, 1@66(.)) 8*.***',1(+61
SUMA2
9PM1
'
1 *.*+ 8*.*1(+'*1('6
' *.*+ ,.,1+6'6+661
, 1@66(.)) 8*.***,+-)'
SUMA2
9PM'
w(rad/seg) T(seg)
>?
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,
1 *.*+ *.1*((*6))+
' *.*+ *.,*6*--1+6)
, 1@66(.)) *.**+(+1)1,
SUMA2
9PM,
SEGUNDO PISO
MODO: ' 4 m?
1
1 *.*),* ,.)**(('1-
' *.*),* *.**'(*),-1
, 1@66(.))' 8*.****+6*6)
SUMA2
9PM1
'
1 *.*), *.*6--+1,*(
' *.*), 8*.-6,)6'-6,
, 1@66(.)) *.**))11+*'*SUMA2
9PM'
,
1 *.*),* *.**6*)16(-*
' *.*), ,.1**'-
, 1@66(.)) *.**116-6,,
SUMA2
9PM,
5 CA!CU!O DE !A ACE!ERACION ESPECTRA!
Z
U
S
R
C
T (seg)
0.020
0.040
0.060
>?
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0.080
0.100
0.120
0.140
0.160
0.180
0.200
0.220
0.240
0.260
0.280
0.300
0.320
0.340
0.360
0.380
0.400
0.420
0.440
0.460
0.480
0.500
0.520
0.540
0.560
0.580
0.600
0.620
0.640
0.660
0.680
0.700
0.720
0.740
0.760
0.780
0.800
0.820
0.840
0.860
0.880
0.900
0.920
0.940
0.960
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0.980
1.000
1.020
1.040
1.060
1.080
1.100
1.120
1.140
1.160
1.180
1.200
1.220
1.240
1.260
1.280
1.300
1.320
1.340
1.360
1.380
1.400
1.420
1.440
1.460
1.480
1.500
1.520
1.540
1.560
1.580
1.600
1.620
1.640
1.660
1.680
1.700
1.720
1.740
1.760
1.780
1.800
1.820
1.840
1.860
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1.880
1.900
1.920
1.940
1.960
1.980
2.000
2.020
2.040
2.060
2.080
2.100
2.120
2.140
2.160
2.180
2.2002.220
2.240
6 CA!CU!O DE! "ECTOR DESP!A#AMIENTO
PRIMER ENTRE PISO
DIRECCION DEL SISMO 585
MODO: 1
u12 *.*'*1'(1
u'2 *.******')
u,2 *.*****-6
CON=INACION MODAL
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u2 *.*'*16'6-(
NORMA: NTE8E*,*
uB ) i
u2,%6$R$u
u2 *.1,-)6)+*, B*.1,-)6)+*, B
DRECCION DEL SISMO ;8;
MODO: 1
12 *.******1+
'2 *.**('*1,'
,2 *.****6'
CON=INACION MODAL
2 *.**('1'1166
NORMA: NTE8E*,*
u2,%6$R$
2 *.*6,11,**- B
*.*6,11,**- B
E9ECTO DE TORSION
MODO: 1
F12 *.****-+
F'2 *.****,(
F,2 *.**611+
CON=INACION MODAL
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F2 *.**6166'(*
POR LO TANTO*.*'*16'6-(
u *.**('1'1166
*.**6166'(*
SEGUNDO ENTRE PISO
DRECCION DEL SISMO 585
MODO: 1
u12 *.*()'+
u'2 *.******()
u,2 *.********
CON=INACION MODAL
u2 *.*()-*))
NORMA: NTE8E*,*
uB ) i
u2,%6$R$u
u2 *.,-*1*+61- B
*.,-*1*+61- B
DRECCION DEL SISMO ;8;
MODO: 1
12 *.*******,
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'2 *.***1',1(
,2 *.**,6)1',
CON=INACION MODAL
2 *.**,-*,)')
NORMA: NTE8E*,*
u2,%6$R$
2 *.*1(,+6'(1- B
*.*1(,+6'(1- B
E9ECTO DE TORSION
MODO: 1
F12 *.****
F'2 *.**-
F,2 *.***1
CON=INACION MODAL
F2 *.**-*-1)(1
POR LO TANTO
*.*()-*))
u *.**,-*,)')
*.**-*-1)(1
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ISMICO DINAMICO
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51 ,-*
;1 1-**
51 ,-*
;1 +**
51 '-*
;1 ,**
+-)+.'(61--.6'
1*-66.-'
'*')+.,*(
51 ,-*
;1 1-**
51 ,-* ;1 +**
51 '-*
;1 ,**
))+.(6
1'.*+)
(--'.(11
166(.))'
* *
*.*+* *
* '*')+.,*(
* *
*.*), *
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* 166(.))'
NTRO DE MASA
323.68 CM
963.16 CM
;i cm < se! < cos <
* * * 1
** * * 11'** * * 1
1(** * * 1
* +* 1 *
* +* 1 *
1 * +,.1
* * * 2+,.1 * +')@),.1,
1 * ,,.1
* * * 2
,,.1 * 1,1@((,.
1 * 8',.(6
* * * 2
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8',.(6 * -@*+6.1(
1 * 8(,.(6
* * * 2
8(,.(6 * )**@,*6.)1
* * *.**
* 1 8,',.( 2
*.** 8,',.( 1*6@))1.6)
* * *.**
* 1 ,).,' 2
*.** ,).,' 161@1,.-)
6)6.,1-6',1)( * '++-.)
* 16+6.-6+'1-1( ,+,,*.'6
'++-.) ,+,,*.'6 -,(@'+'@*'.1+
;i cm < se!< cos<
* * * 1** * * 1
1'** * * 1
1(** * * 1
* +* 1 *
* +* 1 *
1 * +,.1
* * * 2
+,.1 * +')@),.1,
1 * ,,.1
* * * 2
,,.1 * 1,1@((,.
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1 * 8',.(6
* * * 2
8',.(6 * -@*+6.1(
1 * 8(,.(6
* * * 2
8(,.(6 * )**@,*6.)1
* * *.**
* 1 8,',.( 2
*.** 8,',.( 1*6@))1.6)
* * *.**
* 1 ,).,' 2
*.** ,).,' 161@1,.-)
16+.)+)'-11 * +6*.((
* ')((.-6,(-*++ ),,('.),
+6*.(( ),,('.), ,+(@+,'@*6,.-,
N
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m? >?G' ui i Fi *.++(+ ,.,,1-*,,,1
*.**** *.**(+'1,,(*
*.***+ 8*.***',1(+61
1.***
*.'++(,-, *.***(*'+ 8,.(16,),+
*.**** 8*.*1(+'*1('6
*.++1) ,.,1+6'6+661
*.**) 8*.***,+-)'
*.++(
8*.**1)*'( *.'+()6(' 81*.-'*'6''
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*.**11 *.1*((*6))+
*.**(, *.,*6*--1+6)
*.(*,- *.**+(+1)1,
*.(1,
*.**+)+'6 *.*'),-* 116.+,'(6,
m? >?G' ui i Fi *.+++( ,.)**(('1-
*.**** *.**'(*),-1
*.***' 8*.****+6*6)
1.***
*.')*166 *.***1+-) 81.-(-),+1
*.***' *.*6--+1,*(
*.*'1 8*.-6,)6'-6,
*.+)(, *.**))11+*'* 1.***
*.**,,,,1 8*.*,++,' 1'.(-1,1)
*.**** *.**6*)16(-*
*.+)(6 ,.1**'-
*.*'1 *.**116-6,,
1.***
*.***'+)' *.')'-,- 1(.(616-,
*., ZONA '"
1., 7. EDI9ICACIONES IMPORTANTES@ COMISARIA "
1 Tp2 *.6 SUELO RI3IDO"
) DUAL O MI5TO"
'.-Tp%T"
ACELERACIÓN ESPECTRAL:
C Sa cm/seg² Sa
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
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2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.50 136.639 0.139
2.38 130.133 0.133
2.27 124.218 0.127
2.17 118.817 0.121
2.08 113.866 0.116
2.00 109.311 0.111
1.92 105.107 0.107
1.85 101.214 0.103
1.79 97.599 0.099
1.72 94.234 0.096
1.67 91.093 0.093
1.61 88.154 0.090
1.56 85.400 0.087
1.52 82.812 0.084
1.47 80.376 0.082
1.43 78.080 0.080
1.39 75.911 0.077
1.35 73.859 0.075
1.32 71.915 0.073
1.28 70.071 0.071
1.25 68.320 0.070
1.22 66.653 0.068
1.19 65.066 0.066
1.16 63.553 0.065
1.14 62.109 0.063
1.11 60.729 0.062
1.09 59.408 0.061
1.06 58.144 0.059
1.04 56.933 0.058
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1.02 55.771 0.057
1.00 54.656 0.056
0.98 53.584 0.055
0.96 52.554 0.054
0.94 51.562 0.053
0.93 50.607 0.052
0.91 49.687 0.051
0.89 48.800 0.050
0.88 47.944 0.049
0.86 47.117 0.048
0.85 46.318 0.047
0.83 45.546 0.046
0.82 44.800 0.046
0.81 44.077 0.045
0.79 43.378 0.044
0.78 42.700 0.044
0.77 42.043 0.043
0.76 41.406 0.042
0.75 40.788 0.042
0.74 40.188 0.041
0.72 39.606 0.040
0.71 39.040 0.040
0.70 38.490 0.039
0.69 37.955 0.039
0.68 37.435 0.038
0.68 36.930 0.038
0.67 36.437 0.037
0.66 35.958 0.037
0.65 35.491 0.036
0.64 35.036 0.036
0.63 34.592 0.035
0.63 34.160 0.035
0.62 33.738 0.034
0.61 33.327 0.034
0.60 32.925 0.034
0.60 32.533 0.033
0.59 32.150 0.033
0.58 31.777 0.032
0.57 31.411 0.032
0.57 31.054 0.032
0.56 30.705 0.031
0.56 30.364 0.031
0.55 30.031 0.031
0.54 29.704 0.030
0.54 29.385 0.030
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0.53 29.072 0.030
0.53 28.766 0.029
0.52 28.467 0.029
0.52 28.173 0.029
0.51 27.886 0.028
0.51 27.604 0.028
0.50 27.328 0.028
0.50 27.057 0.028
0.49 26.792 0.027
0.49 26.532 0.027
0.48 26.277 0.027
0.48 26.027 0.027
0.47 25.781 0.026
0.47 25.540 0.026
0.46 25.304 0.026
0.46 25.071 0.026
0.45 24.844 0.025
0.45 24.620 0.025
0.45 24.400 0.025
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cm
)$'(-1.++- cm O4
cm
)$'(-
1.++- cm O4
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A1
A'
A,
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- '
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/icm"
+,.1
,,.18',.(6
8(,.(6
8,',.(
,).,'
'16.++*)61, * '*)*)-.1)
* * *'*)*)-.1) * 1++@66@*(1.*
''.11,)6' * (*6(.1)
* * *
(*6(.1) * '@+''@)-).)(
''.11,)6' * 8-'6(.(1
* * *
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8-'6(.(1 * 1@'6,@1,(.+6
'16.++*)61, * 81)++1).))
* * *
81)++1).)) * 1-*@-'@),.1
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*.** 8'61((*.++1 )(@'+,@*-).)6
* * *.**
* )6).')6*( '(1'11.',,+*()1
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+,.1,,.1
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8(,.(6
8,',.(
,).,'
'(.+)+'),-' * ')6*.6
* * *
')6*.6 * '@''@'+.1*
6.'**+(6-, * 1))(.1-
* * *
1))(.1- * @*+,@11).*-
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6.'**+(6-, * 81*+6'.')
* * *
81*+6'.') * '@-+1@-+*.6,
'(.+)+'),-' * 8'6*1-.,
* * *
8'6*1-., * '*@*+)@'+,.)
* * *.**
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* * *.**
* 1,+6.')1+, -'6(.-6*,(,1(-
*.** -'6(.-6 1+)@66)@('+.)
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NI=EL
1
1
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1
NI=EL
'
'
'
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ANALISIS SISMICO ESTATICO
1° CALCULO DEL CORTANTE 7ASAL: =
Z *., ZONA '"
U 1., 7. EDI9ICACIONES IMPORTANTE
S 1 Tp2 *.6
R ) DUAL O MI5TO"
C '.-Tp%T"
Pe/iodo Hu!dame!#a de a es#/uc#u/a
!2 -.)
T2!%C# *.1') se&
C2 ).(+6),(6'1
masa de cada piso
MASAS POR PI
PISO WuTo!"
1 ().(1'' )1.),-
=2 1'.',1*1'(-)
'° CALCULO DEL =ECTOR DE 9UERZA E5TERNA: 9
Pa/a amJos se!#idos de a!aisis de sismo:
CASO 1: 929di/ec#oCASO ': 929di/ec#o K 9co!d1
CASO ,: 929di/ec#o K 9co!d'
5m2 ,.'6
;m2 +.,
5R 2 ,.-
2 P# /
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;R 2 +
Ece!#/icidad di/ec#a:
e2;o8;/2 *.,
Ece!#/icidad accide!#a:
E acc2 *.*-D *.+
E5CENTRICIDAD REAL
CONDICION 1:
E21.-$Edi/ K8 Eacc
e12 1.(6),(6'11
CONDICION ':E2Edi/ K8 Eacc
e'2 8*.')
DIRECCION SISMO: X$X
1'.',1*1'(-)
CASO1: 92 *
*
CASO': M#12 9. e1
M#12 ''.-+-1(+1
1'.',1*1'(-)
92 *
''.-+-1(+1
CASO,: M#12 9 e'
M#12 8,.'(,*1,6-+
1'.',1*1'(-)
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4. u 2 9
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6)6.,1-6',1( *
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81.66'+1E8**
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CASO ,: u2 ,.(1,'))E8**-
8*.*****166+
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os mao/es u2 ,.(1,'))E8**-
8*.*****166+
NORMA: NTE8 E*,*: uB ) i
DIRECCION 585:
u2,%6$R$u2 *.1,-(*6,6 B ) i 2
DIRECCION ;8;:
2,%6$R$2 *.***'**1+) B ) i 2
6° CALCULO DEL DESPLAZAMIENTO DE CADA ELEMENTO:
<2*°
i2uoK/i Fo
i2uo cos Kuo se! K /i Fo
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PORTICO 1 0.000 *
PORTICO ' 0.000 *
PORTICO , 0.000 *
PORTICO 6 0.000 *
PORTICO A 90.000 1
PORTICO 7 90.000 1
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=i24i$ i
ELEM 4L
CASO1
1 '1-.** *.*'--)-)-
' ''.1 *.*'-(6-(1(+, ''.1 *.*'-(6-(1(+
6 '1-.** *.*'--)-)-
A )6).') 8*.**1*6*'(*)
7 )6).') 8*.**1*6*'(*)
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S@ COMISARIA "
SUELO RI3IDO"
C#2 6- ROS DE CORTE"
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e25o85/2 8*.'
E acc2 *.*-D *.,-
e12 8*.)66),(6
e'2 *.*+
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'++-.),-+1-
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8*.******11(
86.+1-6(--E8**(1.()((66(E8**+
cm
cm
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1.++-O4
1.++-O4
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icm"
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CASO1 CASO' CASO,
1 +,.1 *.*'66((*6 *.*'6-'*, *.*'66('-'
1 ,,.1 *.*'-,-,)+ *.*'-,6- *.*'-,-1+-
1 8',.(6 *.*''1+-6 *.*''*(( *.*'''1,(
1 8(,.(6 *.*')*(-'+ *.*')*6), *.*')*+*(1
*.** 8,',.( *.***-*-*' *.***6+*'- *.***-*)1)
*.** ,).,' 8*.***-*-*' 8*.***6+*'- 8*.***-*)1)
LEMENTO: =i
i cm" =i To!"
CASO' CASO, CASO1 CASO' CASO,
*.*'--),+(6 *.*'--6 -.6++'(,( -.6+(,*1- -.6+)'(1+
*.*'-(66*(( *.*'-(6*) *.-)')(-) *.-)')6),' *.-)')+1'6*.*'-(66*(( *.*'-(6*) *.-)')(-) *.-)')6),' *.-)')+1'6
*.*'--),+(6 *.*'--6 -.6++'(,( -.6+(,*1- -.6+)'(1+
8*.**1**+(-'- 8*.**1*66) 8*.))),)-,- 8*.)-6,)1' 8*.)(*)+1+
8*.**1**+(-'- 8*.**1*66) 8*.))),)-,- 8*.)-6,)1' 8*.)(*)+1+