CALCULOS - RIGIDEZ.xls

I. DATOS DE LA ESTRUCTURA

UBICACIÓN

PROVINCIA: PUERTO MALDONADO

DEPARTAMENTO: MADRE DE DIOS

ZONIFICACION SISMICA:

ZONA = 2

Z = 0.3 (FACTOR DE ZONA)

SUELO LOCAL: ARENA

= 0.9 PERIODO DEL TERRENO

S = 1.4 FACTOR DE AMPLIFICACION SISMICA

CATEGORIA DE LA EDIFICACION

USO: VIVIENDA

CATEGORIA: C

FACTOR "U": 1

CARGA VIVA.

SOBRECARGA: S/C = 300 (PARA CATEGORIA "C", SE CONSIDERA 25% DE LA CV)

COEFICIENTE DE REDUCCION SISMICA

R = 8 PORTICOS DE CONCRETO ARMADO

CARACTERISTICAS DEL MATERIAL

VIGAS Y COLUMNAS : PORTICOS DE CONCRETO ARMADO

f'c= 210

Fy= 4200

E= 217,370.7 Kg/cm2 = 2,173,706.5 ton/m2

G= 86,948.3 Kg/cm2

TIPO DE ESTRUCTURA : PORTICOS DE CONCRETO

S3 : SUELO FLEXIBLE

Kg/cm2

PUERTOMALDONADOPUERTOMALDONADO

V. ANALISIS ESTATICO

V=Z.U.C.S

RDATOS:

Z : 0.3

S : 1.4

R : 8 (COEFICIENTE DE REDUCCION SISMICA

EN PORTICOS DE CONCRETO ARMADO)

PERIODO FUNDAMENTAL O NATURAL DE VIBRACION DE LA EDIFICACION:

T =10.8 (Altura de la Edificacion)

35 (Edificacion APORTICADA)

T = =10.8

= 0.30935

FACTOR DE AMPLIFICACION SISMICA:

C = 2.5×0.9

= 2.91667 No Cumple!0.309

=> C = 2.5

CONDICION PARA FUERZA CORTANTE BASAL

2.5 = 0.3125 No Cumple!

=> C/R = 0.125

FUERZA CORTANTE BASAL

PESO SISMICO DE LA ESTRUCTURA:

2354.2 + 0.25 (509.10)

2481.48 t

V=Z.U.C.S

104 tR

V= 104 t

xPTx80%

CT hn =

PT = CM + 0.25 CV∙

xPTx80% =

𝐶=2.5×(𝑇𝑃/𝑇)= ≤2.5

≤ 0.125

V= 104 t

CALCULO DE PESO LOSA ALIGERADA

ELEMENTOCANT / M2 ANCHO (M) ALTURA (M) TOTAL UNIDAD

LOSA 2.40 0.05 1.00 1.00 0.12 TVIGUETA 2.40 2.50 0.10 0.20 0.12 TLADRILLO 8.33 0.01 0.08 T

TABIQUERIA 0.15 TACABADOS 0.10 T

PESO TOTAL POR M2 DE LOSA ALIGERADA (W losa) T/m² 0.567 T/M²

CALCULANDO CARGA EN LA COLUMNA INTERIOR 2-D

LARGO (M) ALTURA CANT.

LOSA 6.21 5.25 0.300 4VIGAS PRINCIPALES (0.30 X 0.60) 6.21 0.3 0.600 2.4 4VIGAS SECUNDARIAS (0.25X 0.40) 5.25 0.25 0.400 2.4 4TABIQUERIA 6.21 5.25 0.15 4ACABADOS. 6.21 5.25 0.1 4COLUMNAS 0.3 0.5 14.500 2.4 1

CARGA MUERTA (D)CARGA VIVA (L) 6.21 5.25 0.4SISMO (50% L)SEGUN ACI Wu = 1.4D + 1.7L + SISMO

FACTOR PESO (KG)CARGA MUERTA 1.4 92716.38 129802.932CARGA VIVA 1.7 13041 22169.7CARGA DE SISMO 1 6520.5 6520.5TOTAL 158493.132 Kg

AREA DE LA SECCION DE LA COLUMNA158493.132 = 158493.13 = 1677.176 cm² (25cm x 30 cm)

0.45 X 210Kg/cm² 94.5LA COLUMNA SERA: (0.40 X 0.50)

CALCULANDO CARGA EN LA COLUMNA EXTERIOR 2-A

LOSA 6.21 2.50 0.35 4.00

PESO ESPEC. (T/M3)

LARGO (M)

ANCHO (M)

PESO POR T/M2

PESO POR

ANCHO (M)

PESO POR T/M2

PESO POR

VIGAS PRINCIPALES (0.30 X 0.60) 6.21 0.30 0.60 2.40 4.00VIGAS SECUNDARIAS (0.30X 0.50) 2.50 0.25 0.40 2.40 4.00TABIQUERIA 6.21 2.50 0.15 4.00ACABADOS. 6.21 2.50 0.10 4.00COLUMNAS 0.30 0.50 14.50 2.40 1.00

FACTOR PESO (KG)CARGA MUERTA 1.4 55610.88 77855.232CARGA VIVA 1.7 6210 10557CARGA DE SISMO 1 3105 3105TOTAL 91517.232 Kg

AREA DE LA SECCION DE LA COLUMNA91517.232 = 91517.23 = 1245.13241 cm² (30 cm x 50 cm)

0.35 X 210Kg/cm² 73.5

LA COLUMNA SERA: (0.40 X 0.50)

CALCULANDO CARGA EN LA COLUMNA EXTERIOR EN ESQUINA A-1

LOSA 2.50 3.12 0.32 4.00VIGAS PRINCIPALES (0.30 X 0.60) 3.00 0.30 0.60 2.40 4.00VIGAS SECUNDARIAS (0.30X 0.50) 2.35 0.25 0.40 2.40 4.00TABIQUERIA 2.50 3.12 0.10 0.15 4.00ACABADOS. 2.50 3.12 0.10 0.10 4.00COLUMNAS 0.30 0.50 14.50 2.40 1.00

FACTOR PESO (KG)CARGA MUERTA 1.4 30444 42621.6CARGA VIVA 1.7 3120 5304CARGA DE SISMO 1 1560 1560TOTAL 49485.6 Kg

AREA DE LA SECCION DE LA COLUMNA

ANCHO (M)

PESO POR T/M2

PESO POR

49485.6 = 49485.60 = 673.273469 cm² (30 cm x 30 cm) 0.35 X 210Kg/cm² 73.5

CALCULANDO CARGA EN LA COLUMNA C-2, C-3, C-4

LOSA 5.60 5.00 0.32 4.00VIGAS PRINCIPALES (0.30 X 0.60) 5.60 0.30 0.60 2.40 4.00VIGAS SECUNDARIAS (0.30X 0.50) 2.50 0.30 0.50 2.40 4.00TABIQUERIA 5.60 5.00 0.10 0.15 4.00ACABADOS. 5.60 5.00 0.10 0.10 4.00COLUMNAS 0.30 0.50 9.00 2.40 1.00

CARGA MUERTA (D)CARGA VIVA (L) 5.6 5 0.25SISMO (30% L)SEGUN ACI Wu = 1.2D + 1.6L + SISMO

FACTOR PESO (KG)CARGA MUERTA 1.2 80356.8 96428.16CARGA VIVA 1.6 7000 11200CARGA DE SISMO 1 2100 2100TOTAL 109728.16 Kg

AREA DE LA SECCION DE LA COLUMNA109728.16 = 109728.16 = 1161.14455 cm² (30 cm x 50 cm)

0.45 X 210Kg/cm² 94.5

INERCIA EJE X

ELEMENTO SECCIONB

COLUMNAS 0.4 0.5 0.4 0.125 0.004166667

VIGAS SEC 0.25 0.4 0.25 0.064 0.001333333

VIGAS PRINC 0.3 0.6 0.3 0.216 0.0054

INERCIA EJE Y

ELEMENTO SECCION

ANCHO (M)

PESO POR T/M2

PESO POR

INERCIA (B*H3)/12

H3 (B*H3)/12

INERCIA (B3*H)/12

ELEMENTO SECCIONH

COLUMNAS 0.4 0.5 0.064 0.5 0.002666667VIGAS SEC 0.25 0.4 0.015625 0.4 0.000520833

VIGAS PRINC 0.3 0.6 0.027 0.6 0.00135

B3 (B3*H)/12

TOTAL UNIDAD

39.1210.73

5.0419.5613.04

5.2292.72 T13.04 T

6.52 T

TOTAL UNIDAD

10.732.409.326.215.22

55.61 T6.21 T3.11 T

TOTAL UNIDAD

9.985.182.264.683.125.22

30.44 T3.12 T1.56 T

TOTAL UNIDAD

35.849.683.60

16.8011.20

3.2480.36 T

7.00 T2.10 T

4.6 METRADO DE CARGAS

4.6.1 PESO TOTAL DE LA EDIFICACIONPESO DEL PRIMER AL SEGUNDO PISO

CARGA MUERTA

ELEMENTO CANT. ALTURA

COLUMNAS 25 0.50 0.40 4.50 2.40VIGAS PRINC 5 26.00 0.30 0.60 2.40VIGAS SECUND 5 20.00 0.25 0.40 2.40LOSAS A1 5 29.84 0.35LOSAS A2 2 27.22 0.35LOSAS A3 2 33.50 0.35LOSAS A4 2 27.85 0.35LOSAS A5 1 25.39 0.35LOSAS A6 1 31.24 0.35LOSAS A7 2 32.63 0.35LOSAS A8 1 36.60 0.35TABIQUERIA 1 326.34 0.15ACABADOS 1 326.34 0.10

CARGA VIVA

S/C 1 326.34 0.40

PESO TOTAL DEL PRIMER PISO

PESO TOTAL DEL SEGUNDO PISO

PESO DEL TERCER PISO

CARGA MUERTA

ELEMENTO CANT. ALTURA

COLUMNAS 20 0.50 0.40 3.80 2.40VIGAS PRINC 5 19.70 0.30 0.60 2.40VIGAS SECUND 4 20.00 0.25 0.40 2.40

LARGO (M)

ANCHO (M)

PESO POR T/M2

PESO POR T/M3

TOTAL CARGA MUERTA (CD)

* Nota: Según RNE Capítulo IV, articulo 16, inciso 16.3 para edificaciones A y B, se tomara el 50% de la carga Viva y en azoteas y techos en general se tomara el 25% de la carga viva.

CARGA VIVA (CL)

LARGO (M)

ANCHO (M)

PESO POR T/M2

PESO POR T/M3

LOSAS A1 3 29.84 0.35LOSAS A2 1 27.22 0.35LOSAS A3 1 33.50 0.35LOSAS A4 2 27.85 0.35LOSAS A5 1 25.39 0.35LOSAS A6 1 31.24 0.35LOSAS A7 2 32.63 0.35LOSAS A8 1 36.60 0.35

CARGA VIVA

S/C 1 205.94 0.40

PESO TOTAL DEL TERCER PISO

PESO TOTAL DEL CUARTO PISO

TOTAL CARGA MUERTA (CD)

* Nota: Según RNE Capítulo IV, articulo 16, inciso 16.3 para edificaciones A y B, se tomara el 50% de la carga Viva y en azoteas y techos en general se tomara el 25% de la carga viva.

CARGA VIVA (CL)

TOTAL UND

54.00 T.56.16 T.24.00 T.52.22 T.19.05 T.23.45 T.19.50 T.

8.89 T.10.93 T.22.84 T.12.81 T.48.95 T.32.63 T.

385.44 T.

130.54 T.

65.27 T.

450.70 T.

434.39 T.

TOTAL UND

36.48 T.42.55 T.19.20 T.

31.33 T.9.53 T.

11.73 T.19.50 T.

8.89 T.10.93 T.22.84 T.12.81 T.

170.31 T.

82.38 T.

41.19 T.

211.50 T.

190.90 T.

PORTICO SECUNDARIO - EJE 02CARGA MUERTA (CD)

TOTAL UNID

VP (PESO) 2.4 5 0.3 0.6 2.16 T

W LOSA (1 - 3 NIVEL) 0.570 5 2.85 T/mW VS 2.4 0.3 0.5 0.36 T/m

W LOSA + VS 3.21 T/m

W LOSA (4 NIVEL) 0.320 5 1.6 T/mW VS 2.4 0.3 0.5 0.36 T/m

W LOSA + VS 1.96 T/m

CARGA VIVA

TOTAL UNID

S/C VS (1-3) 0.25 5.00 1.25 T/mS/C VS (4) 0.25 5.00 1.25 T/m

P.E (T/m3)

P.E (T/m2)

AREA TRIBUT.

ANCHO (M)

ALTURA (M)

P.E (T/m2)

AREA TRIBUT.

ANCHO (M)

ALTURA (M)

PORTICO PRINCIPAL EJE CCARGA MUERTA (CD)

TOTAL UNID

VS (PESO) 2.4 5.6 0.3 0.5 2.016 T

W LOSA (1 - 3 NIVEL) 0.570 5.6 3.192 T/mW VP 2.4 0.3 0.6 0.432 T/m

W LOSA + VP 3.624 T/m

W LOSA (4 NIVEL) 0.320 5.6 1.792 T/mW VP 2.4 0.3 0.6 0.432 T/m

W LOSA + VP 2.224 T/m

CARGA VIVA (CL)

TOTAL UNID

S/C VS (1-3) 0.25 5.60 1.4 T/mS/C VS (4) 0.25 5.60 1.4 T/m

P.E (T/m3)

P.E (T/m2)

AREA TRIBUT.

ANCHO (M)

ALTURA (M)

P.E (T/m2)

AREA TRIBUT.

ANCHO (M)

ALTURA (M)

CALCULO DE LA FUERZA POR SISMO

Según RNE, Norma E.030, Art. 17

Fuerza Cortante en la Base Datos

Z = 0.4 F. Zona 3

V = Z U C S

x PU = 1.3 F. Categoria B.

R C = 2.5 Coef. Amplif.

S = 1 F. Suelo - Suelo muy rigido

V = 209.22 Ton. R = 8 F. Reducción

P = 1287.50 Ton.

Cuadro de Fuerzas de Corte por Piso

PisoAltura Peso

P*h % F Vh P

4 15.9 190.91 3035.469 27% 56.56 56.56

3 12.10 211.50 2559.15 22.79% 47.69 104.25

2 8.30 434.39 3605.44 32.11% 67.18 114.87

1 4.50 450.70 2028.15 18.06% 37.79 152.66

Suma ### 11228.21 100.00%

Distribucion de Fuerzas de Corte

Fuerza Direccion X Direccion Y

Corte (T) N° de Porticos Corte (T)

4 56.56 4 14.14 5 2.83

3 47.69 4 11.92 5 9.54

2 67.18 5 13.44 5 13.44

1 37.79 5 7.56 5 7.56

de Corte (T)

N° de Porticos

F. Zona 3

F. Categoria B.

Coef. Amplif.

F. Suelo - Suelo muy rigido

F. Reducción

METODO MATRICIAL DE RIGIDEZ

Estructura original:

PORTICO 1

Ecuación de esplazamientos:

D = (S^-1).(Ad - Adl)

DIMENSIONESDIMENSIONES I A

VIGAS 0.3 0.6 0.0054 0.18COLUMNAS 0.3 0.5 0.00312 0.15

MATRIZ DE RIGIDÉZ

32 35 38 41 44

11 31 12 34 13 37 14 40 15 4333 36 39 42 45

29 26 23 20 17

10 28 9 25 8 22 7 19 6 1630 27 24 21 18

2 5 8 11 14

1 1 2 4 3 7 4 10 5 133 6 9 12 15

E A I LL1 1 2 3 4L2 7 2 2 1

Primer piso L3 2 1 3 4L4 5 8 12 1

4 D1=1 RESTO 0 D2=1 RESTO 0 D3=1 RESTO 0S11 889 S12 0 S13 -276

S2 S21 0 S22 55.69 S23 -1.125S1 S31 -276 S32 -1.13 S33 305

3 S3 1 S41 -0.5 S42 0 S43 0S51 0 S52 -0.56 S53 -1.125S61 0 S62 1.125 S63 1.5

2 S71 -14 S72 0 S73 -84S81 0 S82 -14 S83 0S91 84 S92 0 S93 28

S101 -0.5 S102 0 S103 0S111 0 S112 -1.13 S113 2.25S121 0 S122 -2.25 S123 3

Esquinero S131 -720 S132 0 S133 3604 S141 0 S142 -40 S143 0

S151 -360 S152 0 S153 120S2

S13 S3 1

2 Entrepisos

S2Piso final S1

3 S3 14

S2 2S1

3 S3 1

MÉTODO MATRICIAL DE RIGIDEZ

PORTICO PRINCIPAL:

11.92 3.300 3.300 3.300 3.300

8.62 8.62 8.62 8.62 8.62 8.62 8.62 8.62 3.00

9.24 9.24 9.24 9.24 9.24 9.24 9.24 9.24

4.296 4.296 4.296 4.296 13.44

11.23 11.23 11.23 11.23 11.23 11.23 11.23 11.23 3.00

12.03 12.03 12.03 12.03 12.03 12.03 12.03 12.03

7.56 4.296 4.296 4.296 4.296

11.23 11.23 11.23 11.23 11.23 11.23 11.23 11.23

3.00 12.03 12.03 12.03 12.03 12.03 12.03 12.03 12.03

5.60 5.60 5.60 5.60

1 7.56 1 0.00 7.562 0.00 12.03 -12.033 0.00 11.23 -11.234 0.00 2 0.00 0.005 0.00 24.06 -24.066 0.00 0.00 0.007

=0.00 3 0.00

- =0.00

8 0.00 = 24.06 -24.069 0.00 0.00 0.00

10 0.00 4 0.00 0.0011 0.00 24.06 -24.0612 0.00 0.00 0.0013 0.00 5 0.00 0.0014 0.00 12.03 -12.0315 0.00 -11.23 11.2316 0.00 6 0.00 0.0017 0.00 12.03 -12.0318 0.00 -11.23 11.2319 0.00 7 0.00 0.0020 0.00 24.06 -24.0621 0.00 0.00 0.0022 0.00 8 0.00 0.0023 0.00 24.06 -24.0624 0.00 0.00 0.0025 0.00 9 0.00 0.0026 0.00 24.06 -24.0627 0.00 0.00 0.0028 13.44 10 0.00 13.4429 0.00 12.03 -12.0330 0.00 11.23 -11.2331 11.92 11 0.00 11.9232 0.00 9.24 -9.2433 0.00 8.62 -8.6234 0.00 12 0.00 0.0035 0.00 18.48 -18.4836 0.00 -8.62 8.6237 0.00 13 0.00 0.0038 0.00 18.48 -18.4839 0.00 0.00 0.0040 0.00 14 0.00 0.0041 0.00 18.48 -18.4842 0.00 0.00 0.0043 0.00 15 0.00 0.0044 0.00 9.24 -9.2445 0.00 -8.62 8.62

[AD]45X1 [ADL]45X1 [AD]45X1 [ADL]45X1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

143.82 0.40 -8.28 118.05 0.45 -5.79 95.69 0.10 -7.96 78.01 0.19 -8.01 69.23 0.47 -1.18 56.47 -0.02 -4.25 73.51 0.48 27.12 72.04 0.82 15.88 70.47 0.12 13.43 69.09 0.34 0.40 10.05 -0.71 0.40 0.00 -0.58 0.41 0.00 -0.09 0.40 0.00 -0.09 0.38 0.00 -0.00 0.36 -0.00 -0.09 0.98 -0.36 -0.00 0.89 -0.05 0.02 0.74 0.01 0.04 0.65 0.00 -8.28 -0.71 79.24 -8.97 1.16 -3.66 -9.19 -0.07 2.86 -8.94 -0.02 2.08 -8.61 -0.03 0.14 -8.08 -0.00 2.03 -25.77 -0.11 -18.30 -20.69 0.88 1.54 -17.19 -0.05 -1.10 -15.02 -0.06 118.05 0.40 -8.97 122.10 0.35 -5.39 98.47 0.10 -7.72 79.90 0.19 -7.91 70.73 0.49 -1.21 57.41 -0.02 -3.95 71.00 0.48 21.99 70.60 0.66 16.99 69.83 0.12 13.91 68.93 0.35 0.45 0.00 1.16 0.35 22.92 0.01 0.25 0.39 -0.58 0.25 -0.02 -0.01 0.25 -0.00 -0.00 0.26 -0.00 -0.08 0.46 -0.13 0.62 0.41 22.43 0.10 0.36 0.59 -0.29 0.36 -0.03 -5.79 -0.58 -3.66 -5.39 0.01 64.80 -5.95 0.77 -0.94 -6.02 -0.05 1.83 -5.86 -0.02 0.05 -5.60 -0.00 1.54 -15.02 -0.08 1.60 -16.34 -0.03 -12.82 -12.94 0.66 0.58 -11.15 -0.07 95.69 0.41 -9.19 98.47 0.25 -5.95 104.88 0.03 -7.18 84.28 0.20 -7.65 74.22 0.53 -1.28 59.65 -0.03 -3.29 66.94 0.49 18.07 67.36 0.48 13.33 68.45 0.00 15.25 68.66 0.35 0.10 0.00 -0.07 0.10 0.39 0.77 0.03 18.60 -0.08 -0.03 0.24 -0.50 -0.00 -0.03 0.07 0.04 0.00 -0.05 0.08 0.01 0.05 0.08 0.59 0.45 0.06 18.35 -0.06 0.03 0.36 -7.96 -0.09 2.86 -7.72 -0.58 -0.94 -7.18 -0.08 38.23 -7.39 0.49 -0.85 -7.25 -0.09 0.68 -6.98 -0.00 1.97 -14.65 -0.13 -1.71 -15.35 -0.54 0.13 -17.29 -0.07 -8.30 -14.33 0.37 78.01 0.40 -8.94 79.90 0.25 -6.02 84.28 -0.03 -7.39 94.66 0.11 -6.97 82.51 0.62 -1.40 64.98 -0.04 -1.74 61.48 0.47 15.02 62.40 0.48 10.84 64.61 -0.10 11.40 67.58 0.20 0.19 0.00 -0.02 0.19 -0.02 -0.05 0.20 0.24 0.49 0.11 18.35 -0.17 0.07 0.93 -2.94 0.09 -0.07 0.03 0.19 0.00 0.02 0.19 -0.03 0.04 0.20 0.36 0.29 0.18 17.98

-8.01 -0.09 2.08 -7.91 -0.01 1.83 -7.65 -0.50 -0.85 -6.97 -0.17 37.35 -7.06 0.99 -7.27 -7.07 -0.05 2.67 -12.25 -0.10 -1.55 -12.80 -0.06 -1.22 -14.08 -0.41 0.36 -17.37 -0.16 69.23 0.38 -8.61 70.73 0.25 -5.86 74.22 -0.00 -7.25 82.51 0.07 -7.06 91.85 0.57 -1.40 70.93 -0.04 0.14 57.68 0.45 13.59 58.79 0.48 9.59 61.36 -0.05 9.74 65.28 0.13 0.47 0.00 -0.03 0.49 -0.00 -0.02 0.53 -0.03 -0.09 0.62 0.93 0.99 0.57 26.69 2.17 0.44 0.35 -0.52 0.30 0.00 0.06 0.29 -0.00 0.06 0.28 -0.05 0.13 0.28 1.39 -1.18 -0.00 0.14 -1.21 -0.00 0.05 -1.28 0.07 0.68 -1.40 -2.94 -7.27 -1.40 2.17 124.60 -2.39 1.18 -2.74 -0.97 -0.01 -0.17 -0.98 0.00 -0.13 -1.01 0.03 -0.57 -0.98 -2.66 56.47 0.36 -8.08 57.41 0.26 -5.60 59.65 0.04 -6.98 64.98 0.09 -7.07 70.93 0.44 -2.39 80.12 -0.10 3.27 51.90 0.43 11.51 53.25 0.49 7.78 56.33 0.02 7.32 61.49 0.15 -0.02 -0.00 -0.00 -0.02 -0.00 -0.00 -0.03 0.00 -0.00 -0.04 -0.07 -0.05 -0.04 0.35 1.18 -0.10 15.79 0.29 0.00 -0.00 -0.01 0.00 -0.00 -0.00 0.00 -0.00 -0.00 0.01 -0.11 -4.25 -0.09 2.03 -3.95 -0.08 1.54 -3.29 -0.05 1.97 -1.74 0.03 2.67 0.14 -0.52 -2.74 3.27 0.29 26.41 -10.56 -0.11 -1.30 -11.25 -0.14 -0.53 -12.77 -0.06 0.17 -15.90 -0.01 73.51 0.98 -25.77 71.00 0.46 -15.02 66.94 0.08 -14.65 61.48 0.19 -12.25 57.68 0.30 -0.97 51.90 0.00 -10.56 143.80 1.10 13.37 119.50 1.02 9.71 100.99 0.11 8.00 89.49 0.40 0.48 -0.36 -0.11 0.48 -0.13 -0.08 0.49 0.01 -0.13 0.47 0.00 -0.10 0.45 0.00 -0.01 0.43 -0.00 -0.11 1.10 -0.64 -0.27 1.01 -0.22 -0.13 0.84 0.02 0.07 0.75 0.00 27.12 -0.00 -18.30 21.99 0.62 1.60 18.07 0.05 -1.71 15.02 0.02 -1.55 13.59 0.06 -0.17 11.51 -0.01 -1.30 13.37 -0.27 76.82 13.81 1.35 -4.15 13.89 0.04 2.38 13.89 0.04 72.04 0.89 -20.69 70.60 0.41 -16.34 67.36 0.08 -15.35 62.40 0.19 -12.80 58.79 0.29 -0.98 53.25 0.00 -11.25 119.50 1.01 13.81 125.05 0.84 9.35 105.30 0.13 7.87 93.06 0.41 0.82 -0.05 0.88 0.66 22.43 -0.03 0.48 0.59 -0.54 0.48 -0.03 -0.06 0.48 -0.00 0.00 0.49 -0.00 -0.14 1.02 -0.22 1.35 0.84 39.63 0.17 0.67 0.94 -0.61 0.68 -0.05 15.88 0.02 1.54 16.99 0.10 -12.82 13.33 0.45 0.13 10.84 0.04 -1.22 9.59 0.06 -0.13 7.78 -0.00 -0.53 9.71 -0.13 -4.15 9.35 0.17 62.58 9.43 0.92 -1.11 9.29 0.05 70.47 0.74 -17.19 69.83 0.36 -12.94 68.45 0.06 -17.29 64.61 0.20 -14.08 61.36 0.28 -1.01 56.33 0.00 -12.77 100.99 0.84 13.89 105.30 0.67 9.43 115.51 0.03 7.58 101.42 0.45 0.12 0.01 -0.05 0.12 0.59 0.66 0.00 18.35 -0.07 -0.10 0.36 -0.41 -0.05 -0.05 0.03 0.02 -0.00 -0.06 0.11 0.02 0.04 0.13 0.94 0.92 0.03 32.35 -0.13 -0.08 0.58 13.43 0.04 -1.10 13.91 -0.29 0.58 15.25 -0.06 -8.30 11.40 0.29 0.36 9.74 0.13 -0.57 7.32 -0.00 0.17 8.00 0.07 2.38 7.87 -0.61 -1.11 7.58 -0.13 37.12 7.85 0.61 69.09 0.65 -15.02 68.93 0.36 -11.15 68.66 0.03 -14.33 67.58 0.18 -17.37 65.28 0.28 -0.98 61.49 0.01 -15.90 89.49 0.75 13.89 93.06 0.68 9.29 101.42 -0.08 7.85 118.86 0.35 0.34 0.00 -0.06 0.35 -0.03 -0.07 0.35 0.36 0.37 0.20 17.98 -0.16 0.13 1.39 -2.66 0.15 -0.11 -0.01 0.40 0.00 0.04 0.41 -0.05 0.05 0.45 0.58 0.61 0.35 31.76 8.40 0.02 -0.61 8.71 -0.03 -0.59 9.35 -0.31 0.65 11.33 -0.07 -7.65 9.01 0.68 1.88 5.77 -0.00 1.23 5.42 0.02 1.17 5.34 -0.03 1.45 5.28 -0.64 -1.33 4.98 -0.16 68.98 0.63 -14.38 68.97 0.36 -10.60 69.07 0.04 -13.59 68.93 0.18 -16.23 67.81 0.24 -1.96 65.61 0.03 -19.14 86.16 0.72 13.93 89.49 0.67 9.30 97.28 -0.06 7.93 113.32 0.32 1.05 0.00 -0.10 1.09 -0.00 -0.07 1.16 -0.05 -0.12 1.31 1.39 0.74 1.26 25.72 1.94 1.10 0.53 -0.58 0.78 0.00 0.14 0.78 -0.00 0.14 0.78 -0.09 0.23 0.84 2.20 5.35 0.02 -0.43 5.54 -0.01 -0.26 5.95 -0.06 -0.77 6.76 -2.44 1.75 8.51 1.75 -9.56 8.60 1.13 -1.39 3.63 0.02 0.71 3.58 -0.01 0.68 3.53 -0.07 1.72 3.65 -4.51 69.44 0.60 -13.63 69.66 0.35 -9.97 70.25 0.05 -12.72 71.36 0.18 -15.00 71.82 0.17 -0.69 72.16 0.06 -24.45 82.45 0.69 14.08 85.49 0.67 9.41 92.59 -0.04 8.14 106.89 0.35 0.00 0.00 -0.02 -0.00 -0.00 -0.02 -0.01 0.00 -0.02 -0.04 -0.11 -0.06 -0.07 0.53 1.10 -0.18 15.72 0.32 0.10 0.00 -0.01 0.10 -0.00 -0.00 0.12 -0.00 0.00 0.16 -0.17 -25.84 -0.07 1.82 -26.79 0.06 1.27 -28.88 0.14 1.57 -33.58 0.03 1.81 -38.63 0.16 -3.20 -46.83 -0.38 15.10 -16.20 -0.07 -3.60 -15.91 0.09 -3.62 -15.56 0.25 -5.21 -15.07 -0.03 -14.03 -0.01 2.97 -14.19 0.05 2.34 -14.45 -0.02 2.72 -15.04 0.03 2.76 -15.66 0.15 -0.19 -16.61 0.05 5.38 -23.55 0.06 2.46 -23.46 0.09 1.93 -23.33 -0.03 1.85 -23.16 0.04 1.22 -10.78 0.23 1.16 -0.39 0.24 1.05 0.03 -0.18 0.94 0.00 -0.15 0.88 0.00 -0.01 0.79 -0.00 -0.15 1.58 -18.98 0.57 1.47 -0.63 0.61 1.30 0.04 0.12 1.20 0.00 17.55 1.18 -2.15 18.70 1.96 -6.37 18.81 -0.08 -4.66 18.37 0.04 -4.06 17.91 0.02 -0.17 17.17 -0.01 -4.49 47.29 1.94 -24.69 38.75 3.43 6.32 33.28 -0.15 0.65 29.77 0.10 -0.88 0.05 -0.27 -1.13 0.22 0.57 -1.27 -0.01 0.42 -1.32 -0.00 0.35 -1.31 -0.00 0.01 -1.29 0.00 0.39 -4.07 0.10 4.36 -3.40 0.40 -0.25 -2.82 -0.02 -0.07 -2.47 -0.01 0.94 -0.10 0.88 0.80 22.20 -0.08 0.64 0.69 -0.59 0.62 -0.04 -0.08 0.63 -0.00 0.00 0.63 -0.00 -0.18 1.48 -0.31 0.96 1.16 39.23 0.20 0.87 1.11 -0.45 0.88 -0.06 11.15 0.84 -5.13 10.43 0.10 0.33 10.73 1.11 -3.44 10.20 -0.03 -2.25 9.73 0.05 -0.18 8.99 0.00 -2.12 21.64 1.41 6.25 23.89 0.20 -16.17 18.92 1.92 3.31 16.62 -0.03 11.11 0.16 -2.75 10.89 0.41 -1.50 10.72 0.16 -1.36 11.24 -0.05 -1.71 11.96 -0.16 0.25 13.07 -0.05 -4.39 11.86 0.22 5.99 13.02 0.75 1.54 14.84 0.27 -2.36 15.93 -0.08 0.09 0.02 -0.06 0.08 0.69 0.68 -0.02 18.23 -0.06 -0.11 0.42 -0.41 -0.07 -0.06 0.03 0.00 -0.00 -0.05 0.11 0.03 0.09 0.15 1.11 0.71 -0.03 32.14 -0.12 -0.21 0.68 11.51 0.10 -3.38 11.29 -0.79 -3.41 10.50 -0.13 -1.44 10.61 0.81 -3.52 10.02 -0.01 -0.19 9.08 0.01 -2.15 20.88 0.07 1.00 21.67 -1.37 3.61 24.44 -0.23 -9.64 19.41 1.42 21.67 0.23 -4.52 21.57 0.39 -2.85 21.67 0.31 -3.27 22.57 0.09 -3.00 24.10 -0.37 0.52 26.50 -0.11 -8.91 23.61 0.29 7.43 25.03 0.71 2.99 27.63 0.53 -0.28 30.49 0.20 0.49 0.00 -0.10 0.50 -0.04 -0.10 0.50 0.42 0.36 0.36 17.80 -0.18 0.30 1.60 -2.63 0.32 -0.13 -0.06 0.63 0.00 0.06 0.65 -0.06 0.10 0.71 0.68 0.48 0.52 31.45 9.99 0.10 -2.48 9.91 0.06 -1.87 9.72 -0.79 -3.25 8.56 -0.15 -1.27 8.29 1.51 -0.93 7.67 -0.03 -2.31 15.13 0.12 1.41 15.68 0.10 0.96 17.06 -1.39 3.90 21.93 -0.26 27.18 0.26 -5.21 27.21 0.38 -3.38 27.57 0.28 -3.95 29.02 0.15 -3.87 31.06 -0.25 0.96 34.32 -0.16 -11.47 28.61 0.32 8.20 30.08 0.70 3.75 32.88 0.47 0.76 36.29 0.32 0.92 0.00 -0.11 0.94 0.00 -0.08 0.99 -0.06 -0.14 1.08 1.60 0.75 0.99 25.27 1.85 0.77 0.61 -0.46 0.81 0.00 0.12 0.81 0.00 0.11 0.84 -0.11 0.27 0.98 2.59 -3.48 -0.02 0.48 -3.55 -0.00 0.34 -3.70 0.11 0.57 -3.87 -3.19 -0.02 -4.47 2.17 1.65 -5.17 1.34 1.75 -3.34 -0.02 -0.49 -3.39 -0.01 -0.39 -3.53 0.19 -1.33 -4.21 -5.64 34.84 0.29 -6.12 35.07 0.37 -4.06 35.83 0.24 -4.83 38.14 0.11 -4.96 41.01 0.01 1.49 45.59 -0.19 -15.16 35.25 0.36 9.27 36.77 0.68 4.81 39.79 0.39 2.22 43.84 0.26 0.18 0.00 -0.05 0.18 -0.00 -0.04 0.18 -0.00 -0.05 0.16 -0.12 -0.10 0.14 0.61 1.12 0.04 15.69 0.25 0.29 0.00 0.02 0.30 -0.00 0.02 0.32 -0.00 0.03 0.39 -0.20

26.30 0.16 -3.99 26.73 -0.03 -3.06 27.61 -0.15 -4.03 29.24 0.12 -5.04 30.55 -0.77 0.45 32.53 0.62 -10.78 27.20 0.17 3.66 27.71 -0.05 3.58 29.26 -0.30 4.89 33.35 0.24

[D]54x1= S-1[AD-ADL]/E=

30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54

8.40 68.98 1.05 5.35 69.44 0.00 -25.84 -14.03 1.22 17.55 -0.88 0.94 11.15 11.11 0.09 11.51 21.67 0.49 9.99 27.18 0.92 -3.48 34.84 0.18 26.30

687.76

0.000 1 G

0.02 0.63 0.00 0.02 0.60 0.00 -0.07 -0.01 -10.78 1.18 0.05 -0.10 0.84 0.16 0.02 0.10 0.23 0.00 0.10 0.26 0.00 -0.02 0.29 0.00 0.16 -10.72 -10.82 -0.000 2 G

-0.61 -14.38 -0.10 -0.43 -13.63 -0.02 1.82 2.97 0.23 -2.15 -0.27 0.88 -5.13 -2.75 -0.06 -3.38 -4.52 -0.10 -2.48 -5.21 -0.11 0.48 -6.12 -0.05 -3.99 -8.41 -678.01 -0.000 3 G

8.71 68.97 1.09 5.54 69.66 -0.00 -26.79 -14.19 1.16 18.70 -1.13 0.80 10.43 10.89 0.08 11.29 21.57 0.50 9.91 27.21 0.94 -3.55 35.07 0.18 26.73 - 654.22 0.000 4 H

-0.03 0.36 -0.00 -0.01 0.35 -0.00 0.06 0.05 -0.39 1.96 0.22 22.20 0.10 0.41 0.69 -0.79 0.39 -0.04 0.06 0.38 0.00 -0.00 0.37 -0.00 -0.03 -26.61 -1,541.55 -0.001 5 H

-0.59 -10.60 -0.07 -0.26 -9.97 -0.02 1.27 2.34 0.24 -6.37 0.57 -0.08 0.33 -1.50 0.68 -3.41 -2.85 -0.10 -1.87 -3.38 -0.08 0.34 -4.06 -0.04 -3.06 -4.45 -270.97 -0.000 6 H 9.35 69.07 1.16 5.95 70.25 -0.01 -28.88 -14.45 1.05 18.81 -1.27 0.64 10.73 10.72 -0.02 10.50 21.67 0.50 9.72 27.57 0.99 -3.70 35.83 0.18 27.61 - 660.89 0.000 7 I -0.31 0.04 -0.05 -0.06 0.05 0.00 0.14 -0.02 0.03 -0.08 -0.01 0.69 1.11 0.16 18.23 -0.13 0.31 0.42 -0.79 0.28 -0.06 0.11 0.24 -0.00 -0.15 -51.07 -2,388.57 -0.001 8 I

0.65 -13.59 -0.12 -0.77 -12.72 -0.02 1.57 2.72 -0.18 -4.66 0.42 -0.59 -3.44 -1.36 -0.06 -1.44 -3.27 0.36 -3.25 -3.95 -0.14 0.57 -4.83 -0.05 -4.03 -37.54 -1,265.49 -0.001 9 I

11.33 68.93 1.31 6.76 71.36 -0.04 -33.58 -15.04 0.94 18.37 -1.32 0.62 10.20 11.24 -0.11 10.61 22.57 0.36 8.56 29.02 1.08 -3.87 38.14 0.16 29.24 - 1,002.54 0.000 10 J

-0.07 0.18 1.39 -2.44 0.18 -0.11 0.03 0.03 0.00 0.04 -0.00 -0.04 -0.03 -0.05 0.42 0.81 0.09 17.80 -0.15 0.15 1.60 -3.19 0.11 -0.12 0.12 -55.60 -2,568.72 -0.001 11 J

-7.65 -16.23 0.74 1.75 -15.00 -0.06 1.81 2.76 -0.15 -4.06 0.35 -0.08 -2.25 -1.71 -0.41 -3.52 -3.00 -0.18 -1.27 -3.87 0.75 -0.02 -4.96 -0.10 -5.04 49.89 1,516.29 0.001 12 J

9.01 67.81 1.26 8.51 71.82 -0.07 -38.63 -15.66 0.88 17.91 -1.31 0.63 9.73 11.96 -0.07 10.02 24.10 0.30 8.29 31.06 0.99 -4.47 41.01 0.14 30.55 - 1,024.87 0.000 13 K

0.68 0.24 25.72 1.75 0.17 0.53 0.16 0.15 0.00 0.02 -0.00 -0.00 0.05 -0.16 -0.06 -0.01 -0.37 1.60 1.51 -0.25 25.27 2.17 0.01 0.61 -0.77 -29.22 -2,165.73 -0.001 14 K

1.88 -1.96 1.94 -9.56 -0.69 1.10 -3.20 -0.19 -0.01 -0.17 0.01 0.00 -0.18 0.25 0.03 -0.19 0.52 -2.63 -0.93 0.96 1.85 1.65 1.49 1.12 0.45 -10.45 -1,327.72 -0.001 15 K

5.77 65.61 1.10 8.60 72.16 -0.18 -46.83 -16.61 0.79 17.17 -1.29 0.63 8.99 13.07 0.00 9.08 26.50 0.32 7.67 34.32 0.77 -5.17 45.59 0.04 32.53 - 1,114.66 0.001 16 L

-0.00 0.03 0.53 1.13 0.06 15.72 -0.38 0.05 -0.00 -0.01 0.00 -0.00 0.00 -0.05 -0.00 0.01 -0.11 -0.13 -0.03 -0.16 0.61 1.34 -0.19 15.69 0.62 -18.84 -810.79 -0.000 17 L

1.23 -19.14 -0.58 -1.39 -24.45 0.32 15.10 5.38 -0.15 -4.49 0.39 -0.18 -2.12 -4.39 -0.05 -2.15 -8.91 -0.06 -2.31 -11.47 -0.46 1.75 -15.16 0.25 -10.78 16.64 256.64 0.000 18 L

5.42 86.16 0.78 3.63 82.45 0.10 -16.20 -23.55 1.58 47.29 -4.07 1.48 21.64 11.86 0.11 20.88 23.61 0.63 15.13 28.61 0.81 -3.34 35.25 0.29 27.20 5.92 732.79 0.000 19 M

0.02 0.72 0.00 0.02 0.69 0.00 -0.07 0.06 -18.98 1.94 0.10 -0.31 1.41 0.22 0.03 0.07 0.29 0.00 0.12 0.32 0.00 -0.02 0.36 0.00 0.17 -12.46 169.95 0.000 20 M

1.17 13.93 0.14 0.71 14.08 -0.01 -3.60 2.46 0.57 -24.69 4.36 0.96 6.25 5.99 0.09 1.00 7.43 0.06 1.41 8.20 0.12 -0.49 9.27 0.02 3.66 -9.77 -294.77 -0.000 21 M

5.34 89.49 0.78 3.58 85.49 0.10 -15.91 -23.46 1.47 38.75 -3.40 1.16 23.89 13.02 0.15 21.67 25.03 0.65 15.68 30.08 0.81 -3.39 36.77 0.30 27.71 - 594.87 0.000 22 N

-0.03 0.67 -0.00 -0.01 0.67 -0.00 0.09 0.09 -0.63 3.43 0.40 39.23 0.20 0.75 1.11 -1.37 0.71 -0.06 0.10 0.70 0.00 -0.01 0.68 -0.00 -0.05 -28.35 -2,238.19 -0.001 23 N

1.45 9.30 0.14 0.68 9.41 -0.00 -3.62 1.93 0.61 6.32 -0.25 0.20 -16.17 1.54 0.71 3.61 2.99 0.10 0.96 3.75 0.11 -0.39 4.81 0.02 3.58 -3.09 -88.62 -0.000 24 N

5.28 97.28 0.78 3.53 92.59 0.12 -15.56 -23.33 1.30 33.28 -2.82 0.87 18.92 14.84 -0.03 24.44 27.63 0.71 17.06 32.88 0.84 -3.53 39.79 0.32 29.26 - 450.52 0.000 25 O

-0.64 -0.06 -0.09 -0.07 -0.04 -0.00 0.25 -0.03 0.04 -0.15 -0.02 1.11 1.92 0.27 32.14 -0.23 0.53 0.68 -1.39 0.47 -0.11 0.19 0.39 -0.00 -0.30 -51.07 -3,438.90 -0.002 26 O

-1.33 7.93 0.23 1.72 8.14 0.00 -5.21 1.85 0.12 0.65 -0.07 -0.45 3.31 -2.36 -0.12 -9.64 -0.28 0.48 3.90 0.76 0.27 -1.33 2.22 0.03 4.89 -37.54 -715.23 -0.000 27 O

4.98 113.32 0.84 3.65 106.89 0.16 -15.07 -23.16 1.20 29.77 -2.47 0.88 16.62 15.93 -0.21 19.41 30.49 0.52 21.93 36.29 0.98 -4.21 43.84 0.39 33.35 - 228.00 0.000 28 P

-0.16 0.32 2.20 -4.51 0.35 -0.17 -0.03 0.04 0.00 0.10 -0.01 -0.06 -0.03 -0.08 0.68 1.42 0.20 31.45 -0.26 0.32 2.59 -5.64 0.26 -0.20 0.24 -54.88 -3,711.87 -0.002 29 P

35.72 5.20 1.44 -5.54 5.58 -0.04 -7.68 1.45 0.06 0.81 -0.04 -0.07 0.48 -1.75 -0.52 3.51 -4.06 -0.09 -8.94 -2.56 1.09 2.57 -0.52 0.04 5.87 50.32 1,533.50 0.001 30 P

5.20 129.97 0.69 3.62 121.41 0.23 -14.68 -23.05 1.17 28.72 -2.36 0.88 15.90 16.19 -0.17 18.32 31.28 0.47 20.07 37.76 0.72 -3.22 46.14 0.50 38.24 - 236.26 0.000 31 Q

1.44 0.69 45.66 3.25 0.44 0.84 0.51 0.25 0.01 0.10 -0.01 -0.00 0.14 -0.30 -0.11 0.05 -0.70 2.59 2.72 -0.51 44.85 3.91 -0.07 0.99 -1.37 -28.51 -3,190.88 -0.001 32 Q

-5.54 3.62 3.25 120.40 3.67 2.07 6.16 1.40 0.04 0.38 -0.03 -0.01 0.67 -1.61 -0.14 0.18 -3.60 -4.22 4.98 -5.65 3.06 -10.85 -6.34 2.00 1.88 -10.88 -1,163.68 -0.001 33 Q

5.58 121.41 0.44 3.67 144.96 0.31 -14.22 -22.92 1.14 27.52 -2.23 0.87 15.08 16.50 -0.13 17.04 32.21 0.53 18.12 39.54 0.26 -5.09 49.26 0.64 46.68 - 235.95 0.000 34 R

-0.04 0.23 0.84 2.07 0.31 27.64 -0.77 0.04 0.00 0.02 -0.00 -0.00 0.02 -0.05 -0.00 0.04 -0.12 -0.20 -0.03 -0.20 0.99 2.33 -0.23 27.59 1.17 -18.84 -1,184.25 -0.001 35 R

-7.68 -14.68 0.51 6.16 -14.22 -0.77 -61.28 -5.41 -0.19 -1.89 0.11 0.12 -2.45 6.28 0.30 -4.10 13.87 0.04 -5.09 19.66 0.13 -4.07 28.81 -0.72 9.93 -16.64 970.99 0.000 36 R

1.45 -23.05 0.25 1.40 -22.92 0.04 -5.41 -33.17 0.19 2.12 -31.46 0.10 1.15 -29.86 -0.03 1.17 -28.33 0.06 0.96 -27.42 0.21 -0.58 -26.11 0.07 3.80 8.11 -318.35 -0.000 37 S

0.06 1.17 0.01 0.04 1.14 0.00 -0.19 0.19 -27.29 2.41 0.20 -0.76 1.83 0.38 0.06 0.13 0.51 0.00 0.16 0.56 0.01 -0.04 0.64 0.00 0.30 -7.52 585.47 0.000 38 S

0.81 28.72 0.10 0.38 27.52 0.02 -1.89 2.12 2.41 132.79 7.72 5.32 -9.48 11.35 -0.29 6.32 13.89 0.17 3.65 14.84 0.13 -0.63 16.04 0.06 5.68 -5.89 -499.41 -0.000 39 S

-0.04 -2.36 -0.01 -0.03 -2.23 -0.00 0.11 -31.46 0.20 7.72 -0.46 0.52 -1.52 -0.80 -0.03 -0.46 -1.02 -0.01 -0.35 -1.10 -0.01 0.06 -1.20 -0.01 -0.49 - -392.48 -0.000 40 T

-0.07 0.88 -0.00 -0.01 0.87 -0.00 0.12 0.10 -0.76 5.32 0.52 56.71 0.25 0.97 1.36 -2.11 0.91 -0.08 0.19 0.90 0.00 -0.02 0.87 -0.00 -0.05 -11.69 -2,437.14 -0.001 41 T

0.48 15.90 0.14 0.67 15.08 0.02 -2.45 1.15 1.83 -9.48 -1.52 0.25 96.98 2.24 2.93 -2.66 4.28 -0.06 3.60 5.13 0.17 -0.73 6.26 0.05 4.83 2.47 297.00 0.000 42 T

-1.75 16.19 -0.30 -1.61 16.50 -0.05 6.28 -29.86 0.38 11.35 -0.80 0.97 2.24 29.20 0.33 -3.45 26.74 -0.13 -2.26 25.47 -0.27 0.82 23.70 -0.09 -5.89 - -510.48 -0.000 43 U

-0.52 -0.17 -0.11 -0.14 -0.13 -0.00 0.30 -0.03 0.06 -0.29 -0.03 1.36 2.93 0.33 46.28 -0.36 0.66 0.84 -2.12 0.58 -0.15 0.34 0.48 -0.00 -0.41 -20.55 -3,736.17 -0.002 44 U

3.51 18.32 0.05 0.18 17.04 0.04 -4.10 1.17 0.13 6.32 -0.46 -2.11 -2.66 -3.45 -0.36 61.85 0.81 2.21 -2.59 2.15 -0.09 0.40 3.93 0.10 7.32 -17.06 -496.66 -0.000 45 U

-4.06 31.28 -0.70 -3.60 32.21 -0.12 13.87 -28.33 0.51 13.89 -1.02 0.91 4.28 26.74 0.66 0.81 56.90 0.21 -6.61 54.00 -0.66 2.03 49.95 -0.22 -13.77 - -1,024.56 -0.000 46 V

-0.09 0.47 2.59 -4.22 0.53 -0.20 0.04 0.06 0.00 0.17 -0.01 -0.08 -0.06 -0.13 0.84 2.21 0.21 45.45 -0.43 0.34 3.15 -8.43 0.24 -0.26 0.41 -25.16 -4,072.44 -0.002 47 V

-8.94 20.07 2.72 4.98 18.12 -0.03 -5.09 0.96 0.16 3.65 -0.35 0.19 3.60 -2.26 -2.12 -2.59 -6.61 -0.43 60.24 -4.68 4.12 -14.17 -2.37 -0.04 11.43 15.25 712.66 0.000 48 V

-2.56 37.76 -0.51 -5.65 39.54 -0.20 19.66 -27.42 0.56 14.84 -1.10 0.90 5.13 25.47 0.58 2.15 54.00 0.34 -4.68 73.58 -0.32 1.73 67.61 -0.35 -20.71 - -1,157.13 -0.001 49 W

1.09 0.72 44.85 3.06 0.26 0.99 0.13 0.21 0.01 0.13 -0.01 0.00 0.17 -0.27 -0.15 -0.09 -0.66 3.15 4.12 -0.32 65.34 5.88 0.38 1.21 -2.09 -19.98 -3,614.38 -0.002 50 W

2.57 -3.22 3.91 -10.85 -5.09 2.33 -4.07 -0.58 -0.04 -0.63 0.06 -0.02 -0.73 0.82 0.34 0.40 2.03 -8.43 -14.17 1.73 5.88 146.66 4.44 3.43 -9.14 -4.67 -399.85 -0.000 51 W

-0.52 46.14 -0.07 -6.34 49.26 -0.23 28.81 -26.11 0.64 16.04 -1.20 0.87 6.26 23.70 0.48 3.93 49.95 0.24 -2.37 67.61 0.38 4.44 94.17 -0.45 -32.04 - -1,409.50 -0.001 52 X

0.04 0.50 0.99 2.00 0.64 27.59 -0.72 0.07 0.00 0.06 -0.01 -0.00 0.05 -0.09 -0.00 0.10 -0.22 -0.26 -0.04 -0.35 1.21 3.43 -0.45 39.55 1.64 -11.21 -1,323.41 -0.001 53 X

5.87 38.24 -1.37 1.88 46.68 1.17 9.93 3.80 0.30 5.68 -0.49 -0.05 4.83 -5.89 -0.41 7.32 -13.77 0.41 11.43 -20.71 -2.09 -9.14 -32.04 1.64 69.29 9.90 727.61 0.000 54 X

2173706.51

E A I L E en kg/cm2 E en Tn/m2

L1 2100000 0.18 0.0054 5.6 210000 2.1E+09 2100000

L2 2100000 0.15 0.003125 3

L3 2100000 0.18 0.0054 5.6L4 2100000 0.15 0.003125 3

4D1=1 RESTO 0 D2=1 RESTO 0 D3=1 RESTO 0

S11 140833.333 S12 0 S13 0S21 0 S22 211549.745 S23 0

3 1 S31 0 S32 0 S33 33700S41 -67500 S42 0 S43 0S51 0 S52 -774.87245 S53 -2169.6429

2 S61 0 S62 2169.64286 S63 4050S71 -243.05556 S72 0 S73 -4375S81 0 S82 -105000 S83 0S91 4375 S92 0 S93 4375

S101 -67500 S102 0 S103 0S111 0 S112 -774.87245 S113 2169.64286S121 0 S122 -2169.6429 S123 4050S131 -2916.6667 S132 0 S133 4375S141 0 S142 -105000 S143 0S151 -4375 S152 0 S153 4375

LA MATRIZ DE RIGIDEZ "S":NUDO 1 NUDO 2 NUDO 3 NUDO 4 NUDO 5 NUDO 6 NUDO 7 NUDO 8 NUDO 9

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 261 140833.333 0 0 -67500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 02 0 211549.745 0 0 -774.87245 2169.64286 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 03 0 0 33700 0 -2169.6429 4050 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 04 -67500 0 0 140833.333 0 0 -67500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -243.05556 05 0 -774.87245 -2169.6429 0 211549.745 0 0 -774.87245 2169.64286 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1050006 0 2169.64286 4050 0 0 33700 0 -2169.6429 4050 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4375 07 0 0 0 -67500 0 0 140833.333 0 0 -67500 0 0 0 0 0 0 0 0 0 0 0 -243.05556 0 -4375 0 08 0 0 0 0 -774.87245 -2169.6429 0 211549.745 0 0 -774.87245 2169.64286 0 0 0 0 0 0 0 0 0 0 -105000 0 0 09 0 0 0 0 2169.64286 4050 0 0 33700 0 -2169.6429 4050 0 0 0 0 0 0 0 0 0 4375 0 4375 0 0

10 0 0 0 0 0 0 -67500 0 0 140833.333 0 0 -67500 0 0 0 0 0 -243.05556 0 -4375 0 0 0 0 011 0 0 0 0 0 0 0 -774.87245 -2169.6429 0 211549.745 0 0 -774.87245 2169.64286 0 0 0 0 -105000 0 0 0 0 0 012 0 0 0 0 0 0 0 2169.64286 4050 0 0 33700 0 -2169.6429 4050 0 0 0 4375 0 4375 0 0 0 0 013 0 0 0 0 0 0 0 0 0 -67500 0 0 140833.333 0 0 -243.05556 0 -4375 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 0 -774.87245 -2169.6429 0 211549.745 0 0 -105000 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 0 2169.64286 4050 0 0 33700 4375 0 4375 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 0 0 0 -2916.6667 0 4375 140833.333 0 0 -67500 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 0 0 0 0 -105000 0 0 211549.745 0 0 -774.87245 -2169.6429 0 0 0 0 018 0 0 0 0 0 0 0 0 0 0 0 0 -4375 0 4375 0 0 33700 0 2169.64286 4050 0 0 0 0 019 0 0 0 0 0 0 0 0 0 -2916.6667 0 4375 0 0 0 -67500 0 0 140833.333 0 0 -67500 0 0 0 020 0 0 0 0 0 0 0 0 0 0 -105000 0 0 0 0 0 -774.87245 2169.64286 0 211549.745 0 0 -774.87245 -2169.6429 0 021 0 0 0 0 0 0 0 0 0 -4375 0 4375 0 0 0 0 -2169.6429 4050 0 0 33700 0 2169.64286 4050 0 022 0 0 0 0 0 0 -2916.6667 0 4375 0 0 0 0 0 0 0 0 0 -67500 0 0 140833.333 0 0 -67500 023 0 0 0 0 0 0 0 -105000 0 0 0 0 0 0 0 0 0 0 0 -774.87245 2169.64286 0 211549.745 0 0 -774.8724524 0 0 0 0 0 0 -4375 0 4375 0 0 0 0 0 0 0 0 0 0 -2169.6429 4050 0 0 33700 0 2169.6428625 0 0 0 -2916.6667 0 4375 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -67500 0 0 140833.333 026 0 0 0 0 -105000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -774.87245 2169.64286 211549.745 027 0 0 0 -4375 0 4375 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2169.6429 4050 0 3370028 -2916.6667 0 4375 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -67500 029 0 -105000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -774.8724530 -4375 0 4375 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2169.642931 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 032 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 033 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 034 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2916.6667 035 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -10500036 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4375 037 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2916.6667 0 4375 0 038 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -105000 0 0 039 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4375 0 4375 0 040 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2916.6667 0 4375 0 0 0 0 041 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -105000 0 0 0 0 0 042 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4375 0 4375 0 0 0 0 043 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2916.6667 0 4375 0 0 0 0 0 0 0 044 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -105000 0 0 0 0 0 0 0 0 045 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4375 0 4375 0 0 0 0 0 0 0 0

D1=1 RESTO 0

D2=1 RESTO 0

D3=1 RESTO 0

D1=1 RESTO 0

D2=1 RESTO 0

D3=1 RESTO 0

D1=1 RESTO 0

D2=1 RESTO 0

D3=1 RESTO 0

D1=1 RESTO 0

D2=1 RESTO 0

D3=1 RESTO 0

D1=1 RESTO 0

D2=1 RESTO 0

D3=1 RESTO 0

D1=1 RESTO 0

D2=1 RESTO 0

D3=1 RESTO 0

D1=1 RESTO 0

D2=1 RESTO 0

D3=1 RESTO 0

D1=1 RESTO 0

D2=1 RESTO 0

D3=1 RESTO 0

D1=1 RESTO 0

D2=1 RESTO 0

LA MATRIZ INVERSA S^-1:

NUDO 1 NUDO 2 NUDO 3 NUDO 4 NUDO 5 NUDO 6 NUDO 7 NUDO 8 NUDO 9

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 261 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!2 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!3 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!4 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!5 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!6 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!7 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!8 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!9 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

10 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!11 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!12 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!13 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!14 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! 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#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

Am = Aml + Amd x DMATRIZ "Aml":

50 53 56

11 49 ### 52 12 55 3.3051 54 57

47 44 41

10 46 ### 43 9 40 4.3048 45 42

1 1 ### 4 2 7 4.303 6 9

5.60 5.60

1 02 123 11.234 0 Primer piso

5 126 11.237 08 129 11.23

10 011 12 3

12 11.23

13 014 1215 11.2316 017 1218 11.2319 020 12 Esquinero

Aml = 21 11.234

22 023 12 S2

24 11.23 S1

25 0 3 S3

26 1227 11.2328 0 2

30 11.2331 032 1233 11.23 Piso final

34 035 12 4

36 11.2337 0 S2

38 12 S1

39 11.23 3 S3

40 041 1242 11.2343 044 1245 11.2346 047 12

48 11.2349 050 9.2451 8.62452 053 9.2454 8.62455 056 9.2457 8.62458 059 9.2460 8.62461 062 9.2463 8.62464 065 9.24

66 8.62467 068 9.2469 8.62470 071 9.2472 8.624

Am = Aml + Amd x D

59 62 65 68

58 13 61 ### 64 14 67 ### 1560 63 66 69

38 35 32 29

37 8 34 ### 31 7 28 ### 639 36 33 30

11 14 17 20

10 3 13 ### 16 4 19 ### 512 15 18 21

5.60 5.60

E A I L

L1 1 2 3 4

L2 7 2 2 1

L3 2 1 3 4L4 5 8 12 1

4 D1=1 RESTO 0 D2=1 RESTO 0 D3=1 RESTO 0

S11 889 S12 0 S13 -276

S2 S21 0 S22 55.688 S23 -1.125

S1 S31 -276 S32 -1.125 S33 305

S3 1 S41 -0.5 S42 0 S43 0

S51 0 S52 -0.563 S53 -1.125

S61 0 S62 1.125 S63 1.5

2 S71 -14 S72 0 S73 -84

S81 0 S82 -14 S83 0

S91 84 S92 0 S93 28

S101 -0.5 S102 0 S103 0

S111 0 S112 -1.125 S113 2.25

S121 0 S122 -2.25 S123 3

S131 -720 S132 0 S133 360

S141 0 S142 -40 S143 0

S151 -360 S152 0 S153 120

Entrepisos

3 S3 1

MATRIZ "Amd":

11 49 ### 52

10 46 ### 43

1 1 ### 4

NUDO 1 NUDO 2 NUDO 3

1 2.5234 -2.5

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

10111213141516171819202122232425262728293031

323334353637383940414243444546474849505152535455565758

5960616263646566676869707172

56 59 62

12 55 ### 58 13 6154 57 60 63

41 38 35

9 40 ### 37 8 34

45 42 39 36

8 11 14

2 7 ### 10 3 13

6 9 12 15

E A I LL1 2 5 3 4L2 9 11 3 6L3 7 16 3 4L4 2 8 4 5

NUDO 3 NUDO 4 NUDO 5 NUDO 6

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

### 64 14 67 ###66 69

### 31 7 28 ###33 30

### 16 4 19 ###18 21

5.60 5.60

NUDO 6 NUDO 7 NUDO 8 NUDO 9

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

15 7072

D3=1 RESTO 0D2=1

RESTO 0

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

NUDO 15

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

Ar = Arl + Ard x DMATRIZ "Arl":

50 53 56

11 49 ### 52 12 55 ###51 54 57

47 44 41

10 46 ### 43 9 40 ###48 45 42

1 1 ### 4 2 7 ###3 6 9

5.60 5.60

1 0.002 12.033 11.234 0.005 24.066 22.45

Arl = 7 0.008 24.0589 22.45

10 0.00

11 24.0612 22.4513 0.0014 12.0315 11.23

Ar = Arl + Ard x D

59 62 65 68

58 13 61 ### 64 14 67 ###60 63 66 69

38 35 32 29

37 8 34 ### 31 7 28 ###39 36 33 30

11 14 17 20

10 3 13 ### 16 4 19 ###12 15 18 21

5.60 5.60

15 7072

MATRIZ "Ard":

11 49 ### 52

10 46 ### 43

1 1 ### 4

NUDO 1 NUDO 2

123456

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

101112131415

56 59 62

12 55 ### 58 13 6154 57 60 63

41 38 35

9 40 ### 37 8 34

45 42 39 36

8 11 14

2 7 ### 10 3 13

6 9 12 15

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

### 64 14 67 ###66 69

### 31 7 28 ###33 30

### 16 4 19 ###18 21

5.60 5.60

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

15 7072

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

NUDO 15

D1=1 RESTO

D2=1 RESTO

D3=1 RESTO

CALCULOS - RIGIDEZ.xls

Documents

Transcript of CALCULOS - RIGIDEZ.xls

CALCULOS VIALES

CALCULOS HIDRAULICOS

CALCULOS DILATACIÓN

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CALCULOS JUSTIFICATIVOS

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Calculos escollera

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algunos calculos

calculos metalurgicos

calculos Finales calculos Finales calculosççççç ç Finalesç

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