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DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL

DONCENTE :

CODIGO : 1703092014

Ing : HERNAN RICALDI PORRAS

CICLO :

IX

COLUMNA # 1

COLUMNA # 2

COLUMNA # 3

COLUMNA # 4

VIGA # 1

VIGA # 2

LON.VIGA /ALTURA DE LA COLUMNA

4.00

4.00

3.00

3.00

6.00

6.00

ANCHO DE LA SECCION ( B )

0.30

0.30

0.30

0.30

0.30

0.30

PERALTE DE SECCION ( H )

0.30

0.30

0.30

0.60

0.60

0.60

2173706.51

2173706.51

2173706.51

2173706.51

2173706.51

2173706.51

INERCIA DE LA SECCION ( I )

0.000675

0.000675

0.000675

0.005400

0.005400

0.005400

RIGIDEZ ( EI )

1467.25

1467.25

1467.25

11738.02

11738.02

11738.02

0.09

0.09

0.09

0.18

0.18

0.18

K 1-1
K 2-1
K 3-1
K 4-1
K 5-1
K 6-1

11248.93
3912.67
978.17
0.00
550.22
0.00

K 1-2
K 2-2
K 3-2
K 4-2
K 5-2
K 6-2

3912.67
24943.28
0.00
7825.34
2200.88
0.00

K 1-3
K 2-3
K 3-3
K 4-3
K 5-3
K 6-3

978.17
0.00
9781.68
3912.67
0.00
978.17

K 1-4
K 2-4
K 3-4
K 4-4
K 5-4
K 6-4

0.00
7825.34
3912.67
23476.03
0.00
7825.34

K 1-5
K 2-5
K 3-5
K 4-5
K 5-5
K 6-5

550.22
2200.88
0.00
0.00
550.22
0.00

K 1-6
K 2-6
K 3-6
K 4-6
K 5-6
K 6-6

0.00
0.00
978.17
7825.34
0.00
5869.01

DESCRIPCION

RESISTECIA DEL CONCRETO ( f'c )
MOD. DE ELAST. DE CONCRETO( E )

AREA DE LA SECCION ( A )

210.00
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL

DONCENTE :

CODIGO : 1703092014

CICLO :

Ing : HERNAN RICALDI PORRAS
IX
MATRIZ DE RIGIDEZ

5869.008
0.000
7825.343
978.168
0.000
0.000

K 1-1

K 2-1

0.000
550.219
0.000
0.000
2200.878
550.219

7825.343
0.000
23476.030
3912.672
7825.343
0.000

978.168
0.000
3912.672
9781.679
0.000
978.168

0.000
2200.878
7825.343
0.000
24943.282
3912.672

RESOLVIENDO LA SUB-MATRICEZ
-2.16253E-05
0.000112163
8.79414E-06
-1.28122E-05

-1.75883E-05
8.79414E-06
4.83678E-05
-1.75883E-05

𝐾 22−1 ,𝐾 21

0.386262514
-0.059510567
-0.129032258
0.050055617

-0.034308954
0.012305339
0.096774194
0.014182425

𝐾 12. 𝐾 22−1 . 𝐾 21

2964.425502
-256.4426631

-256.4426631
220.7916246

𝐾 22−1

0.000
0.000
0.000
0.000

7.99812E-06
-1.28122E-05
-1.75883E-05
9.61291E-05

0.000
550.219
0.000
978.168
3912.672
11248.931

K 1- 2

K 2- 2
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL
CODIGO :

DONCENTE :

1703092014

Ing : HERNAN RICALDI PORRAS

CICLO :

IX

INVERSA DE LA MATRIZ
0.000369692
-0.000287786
-0.000152672
2.55419E-05
7.55525E-05
-1.44237E-05

-0.000287786
0.003259593
0.000222994
-5.72367E-05
-0.000352578
-3.18236E-05

1
0.000
0.000
0.000
0.000
0.000

0.000
1.000
0.000
0.000
0.000
0.000

-0.000152672
0.000222994
0.000118686
-3.34549E-05
-5.8868E-05
1.24776E-05

2.55419E-05
-5.72367E-05
-3.34549E-05
0.000114388
1.76289E-05
-1.32789E-05

VERIFICAMOS
0.000
0.000
1
0.000
0.000
0.000

0.000
0.000
0.000
1
0.000
0.000

CALCULO DE LA RIGIDEZ LATERAL
𝐾𝐿 =

2904.582
256.443

256.443
329.428

7.55525E-05
-0.000352578
-5.8868E-05
1.76289E-05
9.2237E-05
-1.63697E-05

-1.44237E-05
-3.18236E-05
1.24776E-05
-1.32789E-05
-1.63697E-05
9.73024E-05

0.000
0.000
0.000
0.000
1
0.000

0.000
0.000
0.000
0.000
0.000
1.000
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL
CODIGO :

DONCENTE :

1703092014

CICLO :

Δ6

ᶲ3

Ing : HERNAN RICALDI PORRAS
IX

ᶲ4
6.00 m

3.00 m

3.00 m

Δ5
ᶲ1

ᶲ2
6.00 m
4.00 m

4.00 m
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL

Ing : HERNAN RICALDI PORRAS

CODIGO : 1703092014

CICLO :
DESCRIPCION

IX

COLUMNA # 1

COLUMNA # 2

COLUMNA # 3

COLUMNA # 4

COLUMNA # 5

COLUMNA # 6

VIGA # 1

VIGA # 2

VIGA # 3

VIGA # 4

3

4

3

3

3

3

3

3

3

3

ANCHO DE LA SECCION ( B )

0.3

0.3

0.3

0.3

0.3

0.3

0.3

0.3

0.3

0.3

PERALTE DE SECCION ( H )

0.3

0.3

0.3

0.3

0.3

0.3

0.6

0.6

0.6

0.6

2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

0.000675

0.000675

0.000675

0.000675

0.000675

0.000675

0.0054

0.0054

0.0054

0.0054

1467.251896

1467.251896

1467.251896

1467.251896

1467.251896

1467.251896

11738.01516

11738.01516

11738.01516

11738.01516

0.09

0.09

0.09

0.09

0.09

0.09

0.18

0.18

0.18

0.18

K 1-1
K 2-1
K 3-1
K 4-1
K 5-1
K 6-1
K 7-1
K 8-1
K 9-1
K 10-1

19563.36
7825.34
0.00
978.17
0.00
0.00
978.17
0.00
0.00
0.00

K 1-2
K 2-2
K 3-2
K 4-2
K 5-2
K 6-2
K 7-2
K 8-2
K 9-2
K 10-2

7825.34
34724.96
7825.34
0.00
978.17
0.00
550.22
550.22
0.00
0.00

K 1-3
K 2-3
K 3-3
K 4-3
K 5-3
K 6-3
K 7-3
K 8-3
K 9-3
K 10-3

0.00
7825.34
19563.36
0.00
0.00
978.17
0.00
978.17
0.00
0.00

K 1-4
K 2-4
K 3-4
K 4-4
K 5-4
K 6-4
K 7-4
K 8-4
K 9-4
K 10-4

978.17
0.00
0.00
17607.02
7825.34
0.00
0.00
0.00
978.17
0.00

K 1-5
K 2-5
K 3-5
K 4-5
K 5-5
K 6-5
K 7-5
K 8-5
K 9-5
K 10-5

0.00
978.17
0.00
7825.34
33257.71
7825.34
0.00
0.00
978.17
978.17

K 1-6
K 2-6
K 3-6
K 4-6
K 5-6
K 6-6
K 7-6
K 8-6
K 9-6
K 10-6

0.00
0.00
978.17
0.00
7825.34
17607.02
0.00
0.00
0.00
978.17

K 1-7
K 2-7
K 3-7
K 4-7
K 5-7
K 6-7
K 7-7
K 8-7
K 9-7
K 10-7

978.17
7825.34
0.00
0.00
0.00
0.00
927.22
0.00
0.00
0.00

K 1-8
K 2-8
K 3-8
K 4-8
K 5-8
K 6-8
K 7-8
K 8-8
K 9-8
K 10-8

0.00
550.22
978.17
0.00
0.00
0.00
0.00
927.22
0.00
0.00

K 1-9
K 2-9
K 3-9
K 4-9
K 5-9
K 6-9
K 7-9
K 8-9
K 9-9
K 10-9

0.00
0.00
0.00
978.17
978.17
0.00
0.00
0.00
1956.34
0.00

K 1-10
K 2-10
K 3-10
K 4-10
K 5-10
K 6-10
K 7-10
K 8-10
K 9-10
K 10-10

0.00
0.00
0.00
0.00
978.17
978.17
0.00
0.00
0.00
652.11

LON.VIGA /ALTURA DE LA COL.

RESIS. DEL CONCRETO ( f'c )
MOD. DE ELAST. DE CONCRETO( E )
INERCIA DE LA SECCION ( I )
RIGIDEZ ( EI )
AREA DE LA SECCION ( A )

210 Kg/cm2
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL

Ing : HERNAN RICALDI PORRAS

CODIGO : 1703092014

CICLO :

IX

MATRIZ DE RIGIDEZ DE LA ESTRUCTURA

K 1-2

K 2-1

652.112
0.000
0.000
0.000
978.168
978.168
0.000
0.000
0.000
0.000

0.000
1956.336
0.000
0.000
0.000
978.168
978.168
0.000
0.000
0.000

0.000
0.000
927.222
0.000
0.000
0.000
0.000
978.168
550.219
0.000

0.000
0.000
0.000
927.222
0.000
0.000
0.000
0.000
7825.343
978.168

978.168
0.000
0.000
0.000
17607.023
7825.343
0.000
978.168
0.000
0.000

978.168
978.168
0.000
0.000
7825.343
33257.710
7825.343
0.000
978.168
0.000

0.000
978.168
0.000
0.000
0.000
7825.343
17607.023
0.000
0.000
978.168

0.000
0.000
978.168
0.000
978.168
0.000
0.000
19563.359
7825.343
0.000

0.000
0.000
550.219
550.219
0.000
978.168
0.000
7825.343
34724.962
7825.343

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

-6.60544E-06
-6.60544E-06
1.63387E-06
-1.85717E-06
1.63387E-06
-1.45522E-05
3.7002E-05
-1.45522E-05

-1.69198E-07
-5.72639E-05
-3.62708E-07
8.53935E-07
-3.36943E-06
-3.02735E-07
8.23325E-07
5.38183E-05

RESOLVIENDO LAS SU MATRIZ

𝐾 22−1

0.001139926
1.20374E-06
3.30097E-06
-6.12598E-07
1.2904E-07
-5.45167E-05
-6.61175E-06
2.57806E-06

𝐾 22−1 ,𝐾 21

5.59255E-05
0.001194648
-1.34065E-05
1.47729E-05
-1.02346E-05
0.000123134
-0.000313149
6.6039E-05

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

0.002605036
-0.000497644
0.046520164
0.020632634
-0.009198785
-0.002424022
-8.05948E-05
0.000517059

-6.583E-07
-6.583E-07
-1.70315E-05
3.81302E-05
-1.70315E-05
1.52566E-06
-1.60293E-06
1.52566E-06

-0.000348543
0.002754136
-0.009235665
0.020674555
0.046483283
0.000845538
-0.000915818
-0.002095544

3.01978E-07
3.47391E-06
7.58971E-06
-1.69942E-05
6.45523E-05
-6.61254E-07
6.66674E-07
-3.66798E-06

𝐾 12. 𝐾 22−1 . 𝐾 21

CALCULO FINAL DE LA RIGIDEZ LATERAL

𝐾𝐿 =

586.425
-11.184

-11.189
1890.644

65.687
11.184

11.189155
65.691644

0.000
0.000
0.000
978.168
0.000
0.000
978.168
0.000
7825.343
19563.359

K 1- 2

K 2- 2
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL

Ing : HERNAN RICALDI PORRAS

CODIGO : 1703092014

CICLO :

ᶲ4

Δ9

IX

ᶲ5

ᶲ6

Δ10
10

9

3.00 m

3.00 m

3.00 m

3.00 m

4

ᶲ2

ᶲ1

ᶲ3
8

7

3.00 m

1

6

Δ8

Δ7

3.00 m

3.00 m

5

3.00 m

4.00 m

2

3.00 m

3
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL

Ing : HERNAN RICALDI PORRAS

CODIGO : 1703092014

CICLO :

IX

INVERSA DE LA MATRIZ DE RIGIDEZ
0.002
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

1.00931E-05
0.00052898
1.5808E-07
-1.45186E-06
4.41595E-06
-1.11447E-05
-2.44959E-05
-4.22807E-07
4.85263E-07
1.10328E-06

-4.48E-06
2.2368E-07
0.00113994
1.2009E-06
3.5114E-06
-5.2479E-07
7.7432E-08
-5.4528E-05
-6.6119E-06
2.5808E-06

-2.324E-06
-2.362E-06
5.593E-05
0.0011947
-1.332E-05
1.487E-05
-1.015E-05
0.0001231
-0.0003132
6.604E-05

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

-3.54053E-05
-1.11253E-05
-5.69946E-07
-6.45279E-07
-1.54872E-05
3.90907E-05
-1.68401E-05
1.44925E-06
-1.61597E-06
1.52066E-06

1.52191E-05
-2.45152E-05
2.53787E-07
3.549E-06
6.6553E-06
-1.68014E-05
6.58318E-05
-6.03634E-07
6.45449E-07
-3.72722E-06

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

3.74725E-07
1.17749E-07
-6.60637E-06
-6.60558E-06
1.61752E-06
-1.86734E-06
1.63184E-06
-1.45514E-05
3.70021E-05
-1.45522E-05

-7.94633E-07
1.29675E-06
-1.66676E-07
-5.72679E-05
-3.13765E-07
8.43521E-07
-3.43702E-06
-3.05757E-07
8.24449E-07
5.38214E-05

0.000
0.000
0.000
0.000
0.000
0.000
1.000
0.000
0.000
0.000

0.000
0.000
0.000
0.000
0.000
0.000
0.000
1.000
0.000
0.000

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
1.000
0

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
1.000

VERIFICACION

1.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

0.000
1.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

0.000
0.000
1.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

0.000
0.000
0.000
1.000
0.000
0.000
0.000
0.000
0.000
0.000

0.000
0.000
0.000
0.000
1.000
0.000
0.000
0.000
0.000
0.000

0.000
0.000
0.000
0.000
0.000
1.000
0.000
0.000
0.000
0.000
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL

Ing : HERNAN RICALDI PORRAS

CODIGO : 1703092014

CICLO :

DESCRIPCION

IX

COLUMNA # 1

COLUMNA # 2

COLUMNA # 3

COLUMNA # 4

COLUMNA # 5

COLUMNA # 6

VIGA # 1

VIGA # 2

VIGA # 3

4

4

3

3

3

3

3

3

3

ANCHO DE LA SECCION ( B )

0.3

0.3

0.3

0.3

0.3

0.3

0.3

0.3

0.3

PERALTE DE SECCION ( H )

0.3

0.3

0.3

0.3

0.3

0.3

0.6

0.6

0.6

RESISTECIA DEL CONCRETO ( f'c )

210
2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

2173706.512

LON.VIGA /ALTURA DE LA COLUMNA

MOD. DE ELAST. DE CONCRETO( E )
INERCIA DE LA SECCION ( I )
RIGIDEZ ( EI )
AREA DE LA SECCION ( A )

2173706.512
0.000675

0.000675

0.000675

0.000675

0.000675

0.000675

0.0054

0.0054

0.0054

1467.251896

1467.251896

1467.251896

1467.251896

1467.251896

1467.251896

11738.01516

11738.01516

11738.01516

0.09

0.09

0.09

0.09

0.09

0.09

0.18

0.18

0.18

K 1-1
K 2-1
K 3-1
K 4-1
K 5-1
K 6-1
K 7-1
K 8-1
K 9-1

19074.27
7825.34
733.63
0.00
0.00
0.00
550.22
0.00
0.00

K 1-2
K 2-2
K 3-2
K 4-2
K 5-2
K 6-2
K 7-2
K 8-2
K 9-2

7825.34
21030.61
0.00
978.17
0.00
0.00
550.22
0.00
0.00

K 1-3
K 2-3
K 3-3
K 4-3
K 5-3
K 6-3
K 7-3
K 8-3
K 9-3

733.63
0.00
19563.36
7825.34
978.17
0.00
0.00
978.17
0.00

K 1-4
K 2-4
K 3-4
K 4-4
K 5-4
K 6-4
K 7-4
K 8-4
K 9-4

0.00
978.17
7825.34
19563.36
0.00
978.17
0.00
978.17
0.00

K 1-5
K 2-5
K 3-5
K 4-5
K 5-5
K 6-5
K 7-5
K 8-5
K 9-5

K 1-6
K 2-6
K 3-6
K 4-6
K 5-6
K 6-6
K 7-6
K 8-6
K 9-6

0.00
0.00
0.00
978.17
7825.34
17607.02
0.00
0.00
978.17

K 1-7
K 2-7
K 3-7
K 4-7
K 5-7
K 6-7
K 7-7
K 8-7
K 9-7

550.22
550.22
0.00
0.00
0.00
0.00
550.22
0.00
0.00

K 1-8
K 2-8
K 3-8
K 4-8
K 5-8
K 6-8
K 7-8
K 8-8
K 9-8

0.00
0.00
978.17
978.17
0.00
0.00
0.00
1304.22
0.00

K 1-9
K 2-9
K 3-9
K 4-9
K 5-9
K 6-9
K 7-9
K 8-9
K 9-9

0.00
0.00
0.00
0.00
978.17
978.17
0.00
0.00
1956.34

0.00
0.00
978.17
0.00
17607.02
7825.34
0.00
0.00
978.17
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
ALUMNO : AYALA MAURICIO ORLANDO ANGEL

Ing : HERNAN RICALDI PORRAS

CODIGO : 1703092014

CICLO :

IX

MATRIZ DE RIGIDEZ DE LA ESTRUCTURA
1956.336
0.000
0.000
978.17
978.17
0.00
0.00
0.00
0.00

K 1-1

K 2-1

0.000
1304.224
0.000
0.00
0.00
978.17
978.17
0.00
0.00

0.000
0.000
550.219
0.00
0.00
0.00
0.00
550.22
550.22

978.17
0.00
0.00
17607.023
7825.343
978.168
0.000
0.000
0.000

978.17
0.00
0.00
7825.343
17607.023
0.000
978.168
0.000
0.000

0.00
978.17
0.00
978.168
0.000
19563.359
7825.343
978.168
0.000

0.00
978.17
0.00
0.000
978.168
7825.343
19563.359
0.000
733.626

0.00
0.00
550.22
0.000
0.000
978.168
0.000
21030.611
7825.343

3.36779E-07
-2.83199E-07
-3.79643E-06
2.40335E-06
5.6365E-05
-2.32166E-05

0.000
0.000
0.000
0.000
0.000
0.000

75.34728804
-2.693628431
0.046118647

-2.693628431
70.0343392
-1.199084833

0.00
0.00
550.22
0.000
0.000
0.000
733.626
7825.343
19074.275

RESOLVIENDO LAS SU MATRIZ

𝐾 22−1

𝐾 22−1 ,𝐾 21

0.038514616
0.038514374
-0.001378087
-0.001375662
5.24102E-05
3.14085E-05

7.12349E-05
-3.18607E-05
-5.02376E-06
3.61293E-06
3.36779E-07
-2.77125E-07

-0.001380026
-0.001373722
0.035830251
0.035767209
-0.001362665
-0.00081662

-3.18607E-05
7.12347E-05
3.61491E-06
-5.01929E-06
-2.83199E-07
3.09234E-07

0.000
0.000
-0.001
-0.001
0.018
0.021

0.000
0.000
0.000
0.000
0.000
0.000

3.61293E-06
-5.01929E-06
-2.48784E-05
6.14439E-05
2.40335E-06
-3.34922E-06

𝐾 12. 𝐾 22−1 . 𝐾 21

CALCULO DE LA RIGIDEZ LATERAL

𝐾𝐿 =

1880.989
2.694
-0.046

2.694
1234.190
1.199

-0.046
1.199
528.418

0.046
-1.199
21.801

K 1-2

K 2-2
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
NOMBRE : ORLANDO AYALA MAURICIO

Ing : HERNAN RICALDI PORRAS

CODIGO : 1703092014

CICLO : IX

Δ9

ᶲ5
9

3.00 m

3.00 m

5

3.00 m
6

ᶲ3

3.00 m

3.00 m

3

ᶲ4

Δ8
8

ᶲ2

Δ7
7

4.00 m

3

4

ᶲ1

1

ᶲ6

3.00 m

2

4.00 m
DATOS GERERALES DE LA ESTRUCTURA
FACULTAD DE INGENIERIA
E.A.P INGENIERIA CIVIL
INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA
NOMBRE : ORLANDO AYALA MAURICIO

Ing : HERNAN RICALDI PORRAS

CODIGO : 1703092014

CICLO : IX

MATRIZ DE RIGIDEZ INVERSA
0.000531637
-1.16035E-06
4.90326E-08
-2.04774E-05
-2.04773E-05
7.74252E-07
7.72881E-07
-3.03387E-08
-1.8694E-08

-1.16035E-06
0.000810253
-1.83872E-06
1.16292E-06
1.15778E-06
-2.90345E-05
-2.8983E-05
1.1377E-06
7.01023E-07

4.90326E-08
-1.83872E-06
0.001892444
-6.65419E-08
-3.15234E-08
1.40091E-06
1.05072E-06
-3.45187E-05
-4.04686E-05

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

-2.04773E-05
1.15778E-06
-3.15234E-08
-3.10704E-05
7.20249E-05
3.54519E-06
-5.08889E-06
-2.79973E-07
3.11497E-07

7.74252E-07
-2.90345E-05
1.40091E-06
-5.09369E-06
3.54519E-06
6.25507E-05
-2.38381E-05
-3.86159E-06
2.46068E-06

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

-3.03387E-08
1.1377E-06
-3.45187E-05
3.40651E-07
-2.79973E-07
-3.86159E-06
2.34465E-06
5.69962E-05
-2.24775E-05

-1.8694E-08
7.01023E-07
-4.04686E-05
-2.74109E-07
3.11497E-07
2.46068E-06
-3.39538E-06
-2.24775E-05
6.29461E-05

0.000
0.000
0.000
0.000
1
0.000
0.000
0.000
0.000

0.000
0.000
0.000
0.000
0.000
1
0.000
0.000
0.000

0.000
0.000
0.000
0.000
0.000
0.000
1.000
0.000
0.000

0.000
0.000
0.000
0.000
0.000
0.000
0.000
1
0.000

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
1

VERIFICACION
1
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

0.000
1
0.000
0.000
0.000
0.000
0.000
0.000
0.000

0.000
0.000
1
0.000
0.000
0.000
0.000
0.000
0.000

0.000
0.000
0.000
1.000
0.000
0.000
0.000
0.000
0.000

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  • 1. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL DONCENTE : CODIGO : 1703092014 Ing : HERNAN RICALDI PORRAS CICLO : IX COLUMNA # 1 COLUMNA # 2 COLUMNA # 3 COLUMNA # 4 VIGA # 1 VIGA # 2 LON.VIGA /ALTURA DE LA COLUMNA 4.00 4.00 3.00 3.00 6.00 6.00 ANCHO DE LA SECCION ( B ) 0.30 0.30 0.30 0.30 0.30 0.30 PERALTE DE SECCION ( H ) 0.30 0.30 0.30 0.60 0.60 0.60 2173706.51 2173706.51 2173706.51 2173706.51 2173706.51 2173706.51 INERCIA DE LA SECCION ( I ) 0.000675 0.000675 0.000675 0.005400 0.005400 0.005400 RIGIDEZ ( EI ) 1467.25 1467.25 1467.25 11738.02 11738.02 11738.02 0.09 0.09 0.09 0.18 0.18 0.18 K 1-1 K 2-1 K 3-1 K 4-1 K 5-1 K 6-1 11248.93 3912.67 978.17 0.00 550.22 0.00 K 1-2 K 2-2 K 3-2 K 4-2 K 5-2 K 6-2 3912.67 24943.28 0.00 7825.34 2200.88 0.00 K 1-3 K 2-3 K 3-3 K 4-3 K 5-3 K 6-3 978.17 0.00 9781.68 3912.67 0.00 978.17 K 1-4 K 2-4 K 3-4 K 4-4 K 5-4 K 6-4 0.00 7825.34 3912.67 23476.03 0.00 7825.34 K 1-5 K 2-5 K 3-5 K 4-5 K 5-5 K 6-5 550.22 2200.88 0.00 0.00 550.22 0.00 K 1-6 K 2-6 K 3-6 K 4-6 K 5-6 K 6-6 0.00 0.00 978.17 7825.34 0.00 5869.01 DESCRIPCION RESISTECIA DEL CONCRETO ( f'c ) MOD. DE ELAST. DE CONCRETO( E ) AREA DE LA SECCION ( A ) 210.00
  • 2. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL DONCENTE : CODIGO : 1703092014 CICLO : Ing : HERNAN RICALDI PORRAS IX MATRIZ DE RIGIDEZ 5869.008 0.000 7825.343 978.168 0.000 0.000 K 1-1 K 2-1 0.000 550.219 0.000 0.000 2200.878 550.219 7825.343 0.000 23476.030 3912.672 7825.343 0.000 978.168 0.000 3912.672 9781.679 0.000 978.168 0.000 2200.878 7825.343 0.000 24943.282 3912.672 RESOLVIENDO LA SUB-MATRICEZ -2.16253E-05 0.000112163 8.79414E-06 -1.28122E-05 -1.75883E-05 8.79414E-06 4.83678E-05 -1.75883E-05 𝐾 22−1 ,𝐾 21 0.386262514 -0.059510567 -0.129032258 0.050055617 -0.034308954 0.012305339 0.096774194 0.014182425 𝐾 12. 𝐾 22−1 . 𝐾 21 2964.425502 -256.4426631 -256.4426631 220.7916246 𝐾 22−1 0.000 0.000 0.000 0.000 7.99812E-06 -1.28122E-05 -1.75883E-05 9.61291E-05 0.000 550.219 0.000 978.168 3912.672 11248.931 K 1- 2 K 2- 2
  • 3. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL CODIGO : DONCENTE : 1703092014 Ing : HERNAN RICALDI PORRAS CICLO : IX INVERSA DE LA MATRIZ 0.000369692 -0.000287786 -0.000152672 2.55419E-05 7.55525E-05 -1.44237E-05 -0.000287786 0.003259593 0.000222994 -5.72367E-05 -0.000352578 -3.18236E-05 1 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 -0.000152672 0.000222994 0.000118686 -3.34549E-05 -5.8868E-05 1.24776E-05 2.55419E-05 -5.72367E-05 -3.34549E-05 0.000114388 1.76289E-05 -1.32789E-05 VERIFICAMOS 0.000 0.000 1 0.000 0.000 0.000 0.000 0.000 0.000 1 0.000 0.000 CALCULO DE LA RIGIDEZ LATERAL 𝐾𝐿 = 2904.582 256.443 256.443 329.428 7.55525E-05 -0.000352578 -5.8868E-05 1.76289E-05 9.2237E-05 -1.63697E-05 -1.44237E-05 -3.18236E-05 1.24776E-05 -1.32789E-05 -1.63697E-05 9.73024E-05 0.000 0.000 0.000 0.000 1 0.000 0.000 0.000 0.000 0.000 0.000 1.000
  • 4. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL CODIGO : DONCENTE : 1703092014 CICLO : Δ6 ᶲ3 Ing : HERNAN RICALDI PORRAS IX ᶲ4 6.00 m 3.00 m 3.00 m Δ5 ᶲ1 ᶲ2 6.00 m 4.00 m 4.00 m
  • 5. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL Ing : HERNAN RICALDI PORRAS CODIGO : 1703092014 CICLO : DESCRIPCION IX COLUMNA # 1 COLUMNA # 2 COLUMNA # 3 COLUMNA # 4 COLUMNA # 5 COLUMNA # 6 VIGA # 1 VIGA # 2 VIGA # 3 VIGA # 4 3 4 3 3 3 3 3 3 3 3 ANCHO DE LA SECCION ( B ) 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 PERALTE DE SECCION ( H ) 0.3 0.3 0.3 0.3 0.3 0.3 0.6 0.6 0.6 0.6 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 0.000675 0.000675 0.000675 0.000675 0.000675 0.000675 0.0054 0.0054 0.0054 0.0054 1467.251896 1467.251896 1467.251896 1467.251896 1467.251896 1467.251896 11738.01516 11738.01516 11738.01516 11738.01516 0.09 0.09 0.09 0.09 0.09 0.09 0.18 0.18 0.18 0.18 K 1-1 K 2-1 K 3-1 K 4-1 K 5-1 K 6-1 K 7-1 K 8-1 K 9-1 K 10-1 19563.36 7825.34 0.00 978.17 0.00 0.00 978.17 0.00 0.00 0.00 K 1-2 K 2-2 K 3-2 K 4-2 K 5-2 K 6-2 K 7-2 K 8-2 K 9-2 K 10-2 7825.34 34724.96 7825.34 0.00 978.17 0.00 550.22 550.22 0.00 0.00 K 1-3 K 2-3 K 3-3 K 4-3 K 5-3 K 6-3 K 7-3 K 8-3 K 9-3 K 10-3 0.00 7825.34 19563.36 0.00 0.00 978.17 0.00 978.17 0.00 0.00 K 1-4 K 2-4 K 3-4 K 4-4 K 5-4 K 6-4 K 7-4 K 8-4 K 9-4 K 10-4 978.17 0.00 0.00 17607.02 7825.34 0.00 0.00 0.00 978.17 0.00 K 1-5 K 2-5 K 3-5 K 4-5 K 5-5 K 6-5 K 7-5 K 8-5 K 9-5 K 10-5 0.00 978.17 0.00 7825.34 33257.71 7825.34 0.00 0.00 978.17 978.17 K 1-6 K 2-6 K 3-6 K 4-6 K 5-6 K 6-6 K 7-6 K 8-6 K 9-6 K 10-6 0.00 0.00 978.17 0.00 7825.34 17607.02 0.00 0.00 0.00 978.17 K 1-7 K 2-7 K 3-7 K 4-7 K 5-7 K 6-7 K 7-7 K 8-7 K 9-7 K 10-7 978.17 7825.34 0.00 0.00 0.00 0.00 927.22 0.00 0.00 0.00 K 1-8 K 2-8 K 3-8 K 4-8 K 5-8 K 6-8 K 7-8 K 8-8 K 9-8 K 10-8 0.00 550.22 978.17 0.00 0.00 0.00 0.00 927.22 0.00 0.00 K 1-9 K 2-9 K 3-9 K 4-9 K 5-9 K 6-9 K 7-9 K 8-9 K 9-9 K 10-9 0.00 0.00 0.00 978.17 978.17 0.00 0.00 0.00 1956.34 0.00 K 1-10 K 2-10 K 3-10 K 4-10 K 5-10 K 6-10 K 7-10 K 8-10 K 9-10 K 10-10 0.00 0.00 0.00 0.00 978.17 978.17 0.00 0.00 0.00 652.11 LON.VIGA /ALTURA DE LA COL. RESIS. DEL CONCRETO ( f'c ) MOD. DE ELAST. DE CONCRETO( E ) INERCIA DE LA SECCION ( I ) RIGIDEZ ( EI ) AREA DE LA SECCION ( A ) 210 Kg/cm2
  • 6. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL Ing : HERNAN RICALDI PORRAS CODIGO : 1703092014 CICLO : IX MATRIZ DE RIGIDEZ DE LA ESTRUCTURA K 1-2 K 2-1 652.112 0.000 0.000 0.000 978.168 978.168 0.000 0.000 0.000 0.000 0.000 1956.336 0.000 0.000 0.000 978.168 978.168 0.000 0.000 0.000 0.000 0.000 927.222 0.000 0.000 0.000 0.000 978.168 550.219 0.000 0.000 0.000 0.000 927.222 0.000 0.000 0.000 0.000 7825.343 978.168 978.168 0.000 0.000 0.000 17607.023 7825.343 0.000 978.168 0.000 0.000 978.168 978.168 0.000 0.000 7825.343 33257.710 7825.343 0.000 978.168 0.000 0.000 978.168 0.000 0.000 0.000 7825.343 17607.023 0.000 0.000 978.168 0.000 0.000 978.168 0.000 978.168 0.000 0.000 19563.359 7825.343 0.000 0.000 0.000 550.219 550.219 0.000 978.168 0.000 7825.343 34724.962 7825.343 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -6.60544E-06 -6.60544E-06 1.63387E-06 -1.85717E-06 1.63387E-06 -1.45522E-05 3.7002E-05 -1.45522E-05 -1.69198E-07 -5.72639E-05 -3.62708E-07 8.53935E-07 -3.36943E-06 -3.02735E-07 8.23325E-07 5.38183E-05 RESOLVIENDO LAS SU MATRIZ 𝐾 22−1 0.001139926 1.20374E-06 3.30097E-06 -6.12598E-07 1.2904E-07 -5.45167E-05 -6.61175E-06 2.57806E-06 𝐾 22−1 ,𝐾 21 5.59255E-05 0.001194648 -1.34065E-05 1.47729E-05 -1.02346E-05 0.000123134 -0.000313149 6.6039E-05 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.002605036 -0.000497644 0.046520164 0.020632634 -0.009198785 -0.002424022 -8.05948E-05 0.000517059 -6.583E-07 -6.583E-07 -1.70315E-05 3.81302E-05 -1.70315E-05 1.52566E-06 -1.60293E-06 1.52566E-06 -0.000348543 0.002754136 -0.009235665 0.020674555 0.046483283 0.000845538 -0.000915818 -0.002095544 3.01978E-07 3.47391E-06 7.58971E-06 -1.69942E-05 6.45523E-05 -6.61254E-07 6.66674E-07 -3.66798E-06 𝐾 12. 𝐾 22−1 . 𝐾 21 CALCULO FINAL DE LA RIGIDEZ LATERAL 𝐾𝐿 = 586.425 -11.184 -11.189 1890.644 65.687 11.184 11.189155 65.691644 0.000 0.000 0.000 978.168 0.000 0.000 978.168 0.000 7825.343 19563.359 K 1- 2 K 2- 2
  • 7. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL Ing : HERNAN RICALDI PORRAS CODIGO : 1703092014 CICLO : ᶲ4 Δ9 IX ᶲ5 ᶲ6 Δ10 10 9 3.00 m 3.00 m 3.00 m 3.00 m 4 ᶲ2 ᶲ1 ᶲ3 8 7 3.00 m 1 6 Δ8 Δ7 3.00 m 3.00 m 5 3.00 m 4.00 m 2 3.00 m 3
  • 8. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL Ing : HERNAN RICALDI PORRAS CODIGO : 1703092014 CICLO : IX INVERSA DE LA MATRIZ DE RIGIDEZ 0.002 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.00931E-05 0.00052898 1.5808E-07 -1.45186E-06 4.41595E-06 -1.11447E-05 -2.44959E-05 -4.22807E-07 4.85263E-07 1.10328E-06 -4.48E-06 2.2368E-07 0.00113994 1.2009E-06 3.5114E-06 -5.2479E-07 7.7432E-08 -5.4528E-05 -6.6119E-06 2.5808E-06 -2.324E-06 -2.362E-06 5.593E-05 0.0011947 -1.332E-05 1.487E-05 -1.015E-05 0.0001231 -0.0003132 6.604E-05 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -3.54053E-05 -1.11253E-05 -5.69946E-07 -6.45279E-07 -1.54872E-05 3.90907E-05 -1.68401E-05 1.44925E-06 -1.61597E-06 1.52066E-06 1.52191E-05 -2.45152E-05 2.53787E-07 3.549E-06 6.6553E-06 -1.68014E-05 6.58318E-05 -6.03634E-07 6.45449E-07 -3.72722E-06 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 3.74725E-07 1.17749E-07 -6.60637E-06 -6.60558E-06 1.61752E-06 -1.86734E-06 1.63184E-06 -1.45514E-05 3.70021E-05 -1.45522E-05 -7.94633E-07 1.29675E-06 -1.66676E-07 -5.72679E-05 -3.13765E-07 8.43521E-07 -3.43702E-06 -3.05757E-07 8.24449E-07 5.38214E-05 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 VERIFICACION 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000
  • 9. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL Ing : HERNAN RICALDI PORRAS CODIGO : 1703092014 CICLO : DESCRIPCION IX COLUMNA # 1 COLUMNA # 2 COLUMNA # 3 COLUMNA # 4 COLUMNA # 5 COLUMNA # 6 VIGA # 1 VIGA # 2 VIGA # 3 4 4 3 3 3 3 3 3 3 ANCHO DE LA SECCION ( B ) 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 PERALTE DE SECCION ( H ) 0.3 0.3 0.3 0.3 0.3 0.3 0.6 0.6 0.6 RESISTECIA DEL CONCRETO ( f'c ) 210 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 2173706.512 LON.VIGA /ALTURA DE LA COLUMNA MOD. DE ELAST. DE CONCRETO( E ) INERCIA DE LA SECCION ( I ) RIGIDEZ ( EI ) AREA DE LA SECCION ( A ) 2173706.512 0.000675 0.000675 0.000675 0.000675 0.000675 0.000675 0.0054 0.0054 0.0054 1467.251896 1467.251896 1467.251896 1467.251896 1467.251896 1467.251896 11738.01516 11738.01516 11738.01516 0.09 0.09 0.09 0.09 0.09 0.09 0.18 0.18 0.18 K 1-1 K 2-1 K 3-1 K 4-1 K 5-1 K 6-1 K 7-1 K 8-1 K 9-1 19074.27 7825.34 733.63 0.00 0.00 0.00 550.22 0.00 0.00 K 1-2 K 2-2 K 3-2 K 4-2 K 5-2 K 6-2 K 7-2 K 8-2 K 9-2 7825.34 21030.61 0.00 978.17 0.00 0.00 550.22 0.00 0.00 K 1-3 K 2-3 K 3-3 K 4-3 K 5-3 K 6-3 K 7-3 K 8-3 K 9-3 733.63 0.00 19563.36 7825.34 978.17 0.00 0.00 978.17 0.00 K 1-4 K 2-4 K 3-4 K 4-4 K 5-4 K 6-4 K 7-4 K 8-4 K 9-4 0.00 978.17 7825.34 19563.36 0.00 978.17 0.00 978.17 0.00 K 1-5 K 2-5 K 3-5 K 4-5 K 5-5 K 6-5 K 7-5 K 8-5 K 9-5 K 1-6 K 2-6 K 3-6 K 4-6 K 5-6 K 6-6 K 7-6 K 8-6 K 9-6 0.00 0.00 0.00 978.17 7825.34 17607.02 0.00 0.00 978.17 K 1-7 K 2-7 K 3-7 K 4-7 K 5-7 K 6-7 K 7-7 K 8-7 K 9-7 550.22 550.22 0.00 0.00 0.00 0.00 550.22 0.00 0.00 K 1-8 K 2-8 K 3-8 K 4-8 K 5-8 K 6-8 K 7-8 K 8-8 K 9-8 0.00 0.00 978.17 978.17 0.00 0.00 0.00 1304.22 0.00 K 1-9 K 2-9 K 3-9 K 4-9 K 5-9 K 6-9 K 7-9 K 8-9 K 9-9 0.00 0.00 0.00 0.00 978.17 978.17 0.00 0.00 1956.34 0.00 0.00 978.17 0.00 17607.02 7825.34 0.00 0.00 978.17
  • 10. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA ALUMNO : AYALA MAURICIO ORLANDO ANGEL Ing : HERNAN RICALDI PORRAS CODIGO : 1703092014 CICLO : IX MATRIZ DE RIGIDEZ DE LA ESTRUCTURA 1956.336 0.000 0.000 978.17 978.17 0.00 0.00 0.00 0.00 K 1-1 K 2-1 0.000 1304.224 0.000 0.00 0.00 978.17 978.17 0.00 0.00 0.000 0.000 550.219 0.00 0.00 0.00 0.00 550.22 550.22 978.17 0.00 0.00 17607.023 7825.343 978.168 0.000 0.000 0.000 978.17 0.00 0.00 7825.343 17607.023 0.000 978.168 0.000 0.000 0.00 978.17 0.00 978.168 0.000 19563.359 7825.343 978.168 0.000 0.00 978.17 0.00 0.000 978.168 7825.343 19563.359 0.000 733.626 0.00 0.00 550.22 0.000 0.000 978.168 0.000 21030.611 7825.343 3.36779E-07 -2.83199E-07 -3.79643E-06 2.40335E-06 5.6365E-05 -2.32166E-05 0.000 0.000 0.000 0.000 0.000 0.000 75.34728804 -2.693628431 0.046118647 -2.693628431 70.0343392 -1.199084833 0.00 0.00 550.22 0.000 0.000 0.000 733.626 7825.343 19074.275 RESOLVIENDO LAS SU MATRIZ 𝐾 22−1 𝐾 22−1 ,𝐾 21 0.038514616 0.038514374 -0.001378087 -0.001375662 5.24102E-05 3.14085E-05 7.12349E-05 -3.18607E-05 -5.02376E-06 3.61293E-06 3.36779E-07 -2.77125E-07 -0.001380026 -0.001373722 0.035830251 0.035767209 -0.001362665 -0.00081662 -3.18607E-05 7.12347E-05 3.61491E-06 -5.01929E-06 -2.83199E-07 3.09234E-07 0.000 0.000 -0.001 -0.001 0.018 0.021 0.000 0.000 0.000 0.000 0.000 0.000 3.61293E-06 -5.01929E-06 -2.48784E-05 6.14439E-05 2.40335E-06 -3.34922E-06 𝐾 12. 𝐾 22−1 . 𝐾 21 CALCULO DE LA RIGIDEZ LATERAL 𝐾𝐿 = 1880.989 2.694 -0.046 2.694 1234.190 1.199 -0.046 1.199 528.418 0.046 -1.199 21.801 K 1-2 K 2-2
  • 11. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA NOMBRE : ORLANDO AYALA MAURICIO Ing : HERNAN RICALDI PORRAS CODIGO : 1703092014 CICLO : IX Δ9 ᶲ5 9 3.00 m 3.00 m 5 3.00 m 6 ᶲ3 3.00 m 3.00 m 3 ᶲ4 Δ8 8 ᶲ2 Δ7 7 4.00 m 3 4 ᶲ1 1 ᶲ6 3.00 m 2 4.00 m
  • 12. DATOS GERERALES DE LA ESTRUCTURA FACULTAD DE INGENIERIA E.A.P INGENIERIA CIVIL INGENIERIA ANTIISMICA I / HOJA DE CLACULO DE RIGIDEZ LATERAL DE LA ESTRUCTURA NOMBRE : ORLANDO AYALA MAURICIO Ing : HERNAN RICALDI PORRAS CODIGO : 1703092014 CICLO : IX MATRIZ DE RIGIDEZ INVERSA 0.000531637 -1.16035E-06 4.90326E-08 -2.04774E-05 -2.04773E-05 7.74252E-07 7.72881E-07 -3.03387E-08 -1.8694E-08 -1.16035E-06 0.000810253 -1.83872E-06 1.16292E-06 1.15778E-06 -2.90345E-05 -2.8983E-05 1.1377E-06 7.01023E-07 4.90326E-08 -1.83872E-06 0.001892444 -6.65419E-08 -3.15234E-08 1.40091E-06 1.05072E-06 -3.45187E-05 -4.04686E-05 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -2.04773E-05 1.15778E-06 -3.15234E-08 -3.10704E-05 7.20249E-05 3.54519E-06 -5.08889E-06 -2.79973E-07 3.11497E-07 7.74252E-07 -2.90345E-05 1.40091E-06 -5.09369E-06 3.54519E-06 6.25507E-05 -2.38381E-05 -3.86159E-06 2.46068E-06 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -3.03387E-08 1.1377E-06 -3.45187E-05 3.40651E-07 -2.79973E-07 -3.86159E-06 2.34465E-06 5.69962E-05 -2.24775E-05 -1.8694E-08 7.01023E-07 -4.04686E-05 -2.74109E-07 3.11497E-07 2.46068E-06 -3.39538E-06 -2.24775E-05 6.29461E-05 0.000 0.000 0.000 0.000 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1 VERIFICACION 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000