diseño losa guzmala

66
DISEÑO DE LOSA ALIGERADA N° decimales = 2 1 Tramo 1 300 5 DATOS: Tramo 1 Tramo 2 Tramo 3 Tramo 4 Tramo 5 Tramo 6 Tramo 7 peso de losa tabiqueria acabado SOLUCIÓN: Luz (max) Peralte losa: Luz /25 aproximando Longitud L 5 Combinación de CARGA: 0 FD*WD 915 FL*WL 0 W=FD*WD + FL*WL 915 Ancho de vigueta=Av 0.4 Wu= Av * W 366 Cálculo de M.E.P. Momento izquierda "Mi", Momento derecha "Md" Mi 0 762.50 I= 100 Rigideces 15625.00 Factores 0 Coeficiente de rigidez 0 0 "K" 0 CROSS 1 "K"*-1 00 0 762.50 762.50 0 0.00 Mi=-Md= Wu*L 2 /12 MEP Mi=-Md= WL 2 /12 M.E.P.

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Page 1: Diseño Losa Guzmala

DISEÑO DE LOSA ALIGERADAN° decimales = 2 1 Tramo 1

3005

DATOS: Tramo 1Tramo 2Tramo 3

Tramo 4Tramo 5Tramo 6Tramo 7

peso de losatabiqueriaacabado

SOLUCIÓN:Luz (max)Peralte losa: Luz /25

aproximando

Longitud L 5Combinación de CARGA: 0

FD*WD 915FL*WL 0W=FD*WD + FL*WL 915Ancho de vigueta=Av 0.4Wu= Av * W 366

Cálculo de M.E.P.Momento izquierda "Mi", Momento derecha "Md" Mi

0 762.50I= 100

Rigideces 15625.00Factores 0Coeficiente de rigidez 0 0

"K" 0

CROSS 1"K"*-1 0 0

0 762.50762.50

0 0.00

Mi=-Md= Wu*L2/12 MEP

Mi=-Md= WL2/12 M.E.P.

Page 2: Diseño Losa Guzmala

0.000.00

0 0.000.00

0.000 0.00

0.000.00

0 0.000.00

0.000 0.00

0.000.00

0 0.000.00

0.000 0.00

Momento-Final 0 762.50Momento-FINAL1 0 762.50

Momento-FINAL1 762.50Momento-FINAL2 732.23Momento-FINAL3 732.23Momento-FINAL4 732.23Momento-FINAL5 732.23Momento-FINAL6 732.23Momento-FINAL7 732.23

0 762.5ANÁLISIS TRAMO POR TRAMO

Ri =( Wu*L) /2 + (Mi - Md)/L 1 902.84Rd = Wu*L - Ri 927.16Punto de inflexión x(+) = Ri / Wu 2.47

x´(+) = L - x(+) 2.53351.05

Control 1 1.391.08

Control 2 1.381.15

b=ancho de apoyo en viga 0.30X=b/2 0.15Esfuerzo de corte Vi = Ri - X*Wu 847.94

M(+) = Ri2/(2*Wu) - Mi

xi = x(+) - raiz2[x(+)2-2Mi/Wu]

xd = x´(+) - raiz2[x´(+)2-2Md/Wu]

MANU: SI LA REACCION ES MENOR QUE LA CORTANTE LA ESTRUCTURA

COLAPSA

Page 3: Diseño Losa Guzmala

Vd = Rd - X*Wu 872.26Momentos de diseño

Mx izq -622.96

-680.11

351.05Cálculo de acero

1.031.130.55

Acero mínimo para losaAs(-) 0.56As(+) 0.56

Diámetro a usar:As(-)i Mx 1/2

As(-)d M'x 1/2As(+) 3/8

long de desarrollo12db 0.0127 0.15

b 0.30L/16 0.31

Ld = 0.31

inflexiones + Ld1.401.5

As(-) 1.401/2

As(+) 3/8

como coloco los fierros 3/8 o 1/2?

MX = Ri*X - Mi+Wu*X2/2

M´x = Rd*X - Md+Wu*X2/2

M(+) = Ri2/(2*Wu) - Mi

As (-)i = 7.23 -raiz2(52.2-abs(Mx)*100/4447.06)As (+)d = 7.23 -raiz2(52.2-abs(M´x)*100/4447.06)As (+) = 28.9 - raiz2(835.21-abs(M(+))*100/1111.76)As (-)i MxAs (+)d M´xAs (+) M(+)

cm² en barra de acero = 1 Ø 3/8"cm² en barra de acero = 1 Ø 3/8"

Acero mínimo para losa: En losas usar 0.71 cm2 minimo

xi

xd

Page 4: Diseño Losa Guzmala

2 Tramo 2 3 Tramo 3300 300 400

5 5Carga viva: S/C

5 m 5 W1 4005 m 5 W2 3505 m 5 W3 3505 m 5 W4 3505 m 5 W5 3505 m 5 W6 3505 m 5 W7 350

390 kg/m2120 kg/m2

100 kg/m2WD 610 kg/m2

Empotrado= 05 m NO Empotrado= 1

0.2 m0.20 m Factores de amplificación:

FD 1.5FL 1.8

5 50 0

915 9150 0

915 9150.4 0.4366 366

Md Mi Md Mi

-762.50 762.50 -762.50 762.50100 100

15625.00 15625.000.75 1 1 1

11718.75 15625.00 15625.00 15625.00

0.43 0.57 0.50 0.50

2 3-0.43 -0.57 -0.5 -0.5

-762.50 762.50 -762.50 762.500.00 0.00

0.00 0.00 0.00 0.00

Page 5: Diseño Losa Guzmala

0.00 0.00 0.00 0.000.00 0.00

0.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.00

-762.50 762.50 -762.50 762.50762.5 762.5 762.5 762.50

762.50 762.50 762.50 762.50823.30 823.30 1009.42 1009.42823.30 823.30 1009.42 1009.42823.30 823.30 1009.42 1009.42823.30 823.30 1009.42 1009.42823.30 823.30 1009.42 1009.42823.30 823.30 1009.42 1009.42

823.30 823.30 1009.42 1009.42

2 877.78 3 875.5952.22 954.5

2.40 2.392.60 2.61

229.29 37.711.12 0.441.28 1.951.12 0.471.48 2.140.30 0.30

0.15 0.15

822.88 820.60

Page 6: Diseño Losa Guzmala

897.32 899.60

-687.52 -873.98

-862.47 -1059.63

229.29 37.71

cm2 1.14 cm2 1.50cm2 1.48 cm2 1.88cm2 0.36 cm2 0.06

1/2 3/8+1/23/8+1/2 3/8+1/2

3/8 3/8

m 0.15 m 0.15m 0.30 m 0.30m 0.31 m 0.31m 0.31 m 0.31

m 1.60 m 2.30m 1.80 m 2.45

1.5 1.60 1.80 2.301/2 1/2 3/8+1/2 3/8+1/2

3/8 3/8

como coloco los fierros 3/8 o 1/2?

Page 7: Diseño Losa Guzmala

4 Tramo 4 5 Tramo 5400 300 300

5 5

kg/m 250kg/m 400kg/m 250kg/m 250kg/m 400kg/m 250kg/m 250

5 50 0

915 9150 0

915 9150.4 0.4366 366

Md Mi Md Mi

-762.50 762.50 -762.50 762.50100 100

15625.00 15625.001 1.00 1 1

15625.00 15625.00 15625 15625

0.5 0.50 0.5 0.50

4 5-0.5 -0.5 -0.5 -0.50

-762.50 762.50 -762.50 762.500.00 0.00

0.00 0.00 0.00 0.00

Page 8: Diseño Losa Guzmala

0.00 0.00 0.00 0.000.00 0.00

0.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.00

-762.50 762.50 -762.50 762.50762.5 762.5 762.5 762.50

762.50 762.50 762.50 762.501206.92 1206.92 979.00 979.001206.92 1206.92 979.00 979.001206.92 1206.92 979.00 979.001206.92 1206.92 979.00 979.001206.92 1206.92 979.00 979.001206.92 1206.92 979.00 979.00

1206.92 1206.92 979.00 979.00

4 960.58 5 958.3869.42 871.7

2.62 2.622.38 2.38

53.62 275.560.52 1.232.10 1.390.56 1.221.82 1.160.30 0.300.15 0.15

905.68 903.4

Page 9: Diseño Losa Guzmala

814.52 816.8

-1058.72 -831.14

-844.47 -627.63

53.62 275.56

cm2 1.87 cm2 1.42cm2 1.44 cm2 1.03cm2 0.08 cm2 0.43

3/8+1/2 2de3/83/8+1/2 1/2

3/8 3/8

m 0.15 m 0.15m 0.30 m 0.30m 0.31 m 0.31m 0.31 m 0.31

m 2.45 m 1.70m 2.15 m 1.50

2.45 2.45 2.15 1.703/8+1/2 3/8+1/2 3/8+1/2 2de3/8

3/8 3/8

Page 10: Diseño Losa Guzmala

6 Tramo 6 7 Tramo 7300 300 400

5 5

5 50 0

915 9150 0

915 9150.4 0.4366 366

Md Mi Md Mi

-762.50 762.50 -762.50 762.50100 100

15625.00 15625.001.00 1 1.00 0.75

15625.00 15625 15625.00 11719

0.5 0.50 0.57 0.43

2 2-0.5 -0.5 -0.57 -0.43

-762.50 762.50 -762.50 762.500.00 0.00

0.00 0.00 0.00 0.00

Page 11: Diseño Losa Guzmala

0.00 0.00 0.00 0.000.00 0.00

0.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

0.00 0.000.00 0.00 0.00 0.00

-762.50 762.50 -762.50 762.50762.5 762.50 762.5 762.50

762.50 762.50 762.50 762.50760.05 760.05 1052.58 1052.58760.05 760.05 1052.58 1052.58760.05 760.05 1052.58 1052.58760.05 760.05 1052.58 1052.58760.05 760.05 1052.58 1052.58760.05 760.05 1052.58 1052.58

762.5 762.5 1052.58 1052.58

6 856.98 7 901.35973.02 928.65

2.34 2.462.66 2.54240.80 57.30

1.14 0.551.20 1.911.15 0.571.51 1.970.30 0.300.15 0.15

802.08 846.45

Page 12: Diseño Losa Guzmala

918.12 873.75

-629.84 -913.26

-902.51 -977.4

240.80 57.30

cm2 1.04 cm2 1.58cm2 1.56 cm2 1.71cm2 0.38 cm2 0.09

1/2 3/8+1/23/8+1/2 3/8+1/2

3/8 3/8

m 0.15 m 0.15m 0.30 m 0.30m 0.31 m 0.31m 0.31 m 0.31

m 1.55 m 2.25m 1.85 m 2.30

1.50 1.55 1.85 2.251/2 1/2 3/8+1/2 3/8+1/2

3/8 3/8

Page 13: Diseño Losa Guzmala

8

400

Md

-762.50

00

0

20 0

-762.50 0.00-762.50

0.00 0.00

Page 14: Diseño Losa Guzmala

0.00 0.000.00

0.00 0.000.00 0.00

0.000.00 0.000.00 0.00

0.000.00 0.000.00 0.00

0.000.00 0.000.00 0.00

0.000.00 0.000.00 0.00

0.000.00 0.00

-762.50 0762.5 0

762.50 01120.81 01120.81 01120.81 01120.81 01120.81 01120.81 0

1120.81 0

8 COMBINACIONES DE CARGAC1C2C3C4C5C6C7

Page 15: Diseño Losa Guzmala

cm2

cm2

cm2

mmmm

mm

2.303/8+1/2

Page 16: Diseño Losa Guzmala
Page 17: Diseño Losa Guzmala

COMBINACIONES DE CARGA

Page 18: Diseño Losa Guzmala

0.71 3/8"1.27 1/2"1.42 2 de 3/8"1.98 3/8"+1/2"2.54 2de1/2"

Page 19: Diseño Losa Guzmala

DISEÑO DE LOSA ALIGERADAN° decimales = 2 1 Tramo 1

3005

DATOS: Tramo 1Tramo 2Tramo 3Tramo 4Tramo 5Tramo 6Tramo 7

peso de losatabiqueriaacabado

SOLUCIÓN:Luz (max)Peralte losa: Luz /25

aproximando

Longitud L 5Combinación de CARGA: 0

FD*WD 915FL*WL 0W=FD*WD + FL*WL 915Ancho de vigueta=Av 0.4Wu= Av * W 366

Cálculo de M.E.P.Momento izquierda "Mi", Momento derecha "Md" Mi

0 762.50I= 100

Rigideces 33759.00Factores 0Coeficiente de rigidez 0 0

"K" 0

CROSS 1"K"*-1 0 0

0 762.50762.50

0 0.00

Mi=-Md= Wu*L2/12 MEP

Mi=-Md= WL2/12 M.E.P.

Page 20: Diseño Losa Guzmala

-36.03-36.03

0 0.0010.26

10.260 0.00

-3.69-3.69

0 0.00-0.02

-0.020 0.00

-0.69-0.69

0 0.00-0.10

-0.100 0.00

Momento-Final 0 732.23Momento-FINAL2 0 732.23

Page 21: Diseño Losa Guzmala

2 Tramo 2 3 Tramo 3 4

300 300 400 3005.5 6

Carga viva: S/C5 m 4.5 W1 400 kg/m5 m 4 W2 350 kg/m5 m 3 W3 350 kg/m5 m 4 W4 350 kg/m5 m 4 W5 350 kg/m5 m 3 W6 350 kg/m5 m 4 W7 350 kg/m

peso de losa 390 kg/m2120 kg/m2

100 kg/m2WD 610 kg/m2

Empotrado= 05 m NO Empotrado= 1

0.2 m0.20 m Factores de amplificación:

FD 1.5FL 1.8

5.5 60 0

915 9150 0

915 9150.4 0.4366 366

Md Mi Md Mi Md Mi

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42100 100

30690.00 28132.500.75 1 1 1 1 1.00

25319.25 30690.00 30690.00 28132.50 28132.50 27225.00

0.45 0.55 0.52 0.48 0.51 0.49

2 3 4-0.45 -0.55 -0.52 -0.48 -0.51 -0.49

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42160.13 175.37

-72.06 -88.07 -91.19 -84.18 -37.95 -36.47

Page 22: Diseño Losa Guzmala

0.00 -45.60 -44.04 -18.98 -42.09 92.23-45.60 -63.02

20.52 25.08 32.77 30.25 -25.57 -24.570.00 16.39 12.54 -12.79 15.13 13.48

16.39 -0.25-7.38 -9.01 0.13 0.12 -14.59 -14.020.00 0.07 -4.51 -7.30 0.06 6.34

0.07 -11.81-0.03 -0.04 6.14 5.67 -3.26 -3.140.00 3.07 -0.02 -1.63 2.84 3.21

3.07 -1.65-1.38 -1.69 0.86 0.79 -3.09 -2.960.00 0.43 -0.85 -1.55 0.40 1.06

0.43 -2.40-0.19 -0.24 1.25 1.15 -0.74 -0.720.00 0.63 -0.12 -0.37 0.58 0.68

0.63 -0.49-0.28 -0.35 0.25 0.24 -0.64 -0.62

-823.30 823.30 -1009.42 1009.42 -1206.92 1206.92823.3 823.3 1009.42 1009.42 1206.92 1206.92

Page 23: Diseño Losa Guzmala

Tramo 4 5 Tramo 5 6 Tramo 6300 300 3006.2 5 5.5

250400250

250400250250

6.2 5 5.50 0 0

915 915 9150 0 0

915 915 9150.4 0.4 0.4366 366 366

Md Mi Md Mi

-1172.42 762.50 -762.50 922.63100 100 100

27225.00 33759.00 30690.001 1 1.00 1

27225 33759 33759.00 30690

0.45 0.55 0.52 0.48

5 6-0.45 -0.55 -0.52 -0.48

-1172.42 762.50 -762.50 922.6374.42 -409.92 160.13

184.46 225.46 -83.27 -76.86

Page 24: Diseño Losa Guzmala

-18.24 -41.64 112.73 -51.7450.14 -59.88 60.99

26.95 32.93 -31.71 -29.28-12.29 -15.86 16.47 11.34

28.61 -28.15 27.8112.67 15.48 -14.46 -13.35-7.01 -7.23 7.74 4.32

6.40 -14.24 12.066.41 7.83 -6.27 -5.79-1.57 -3.14 3.92 1.97

6.05 -4.71 5.892.12 2.59 -3.06 -2.83-1.48 -1.53 1.30 0.86

1.46 -3.01 2.161.35 1.66 -1.12 -1.04-0.36 -0.56 0.83 0.42

1.26 -0.92 1.250.41 0.51 -0.65 -0.60

-979.00 979.00 -760.05 760.05979 979.00 760.05 760.05

Page 25: Diseño Losa Guzmala

7 Tramo 7 8

300 4006

60

9150

9150.4366

Md Mi Md

-922.63 1098.00 -1098.00100

28132.501.00 0.75 0

30690.00 21099 00.59 0.41 0

7 8-0.59 -0.41 0 0

-922.63 1098.00 -1098.00 0.00175.37 -1098.00

-103.47 -71.90 0.00 0.00

Page 26: Diseño Losa Guzmala

-38.43 0.00 -35.95 0.00-38.43 -18.24

22.67 15.76 0.00 0.00-14.64 0.00 7.88 0.00

-14.64 -12.298.64 6.00 0.00 0.00-6.68 0.00 3.00 0.00

-6.68 -7.013.94 2.74 0.00 0.00-2.90 0.00 1.37 0.00

-2.90 -1.571.71 1.19 0.00 0.00-1.42 0.00 0.60 0.00

-1.42 -1.480.84 0.58 0.00 0.00-0.52 0.00 0.29 0.00

-0.52 -0.360.31 0.21 0.00 0.00

-1052.58 1052.58 -1120.81 01052.58 1052.58 1120.81 0

Page 27: Diseño Losa Guzmala

DISEÑO DE LOSA ALIGERADAN° decimales = 2 1 Tramo 1

3005

DATOS: Tramo 1Tramo 2Tramo 3Tramo 4Tramo 5Tramo 6Tramo 7

peso de losatabiqueriaacabado

SOLUCIÓN:Luz (max)Peralte losa: Luz /25

aproximando

Longitud L 5Combinación de CARGA: 0

FD*WD 915FL*WL 0W=FD*WD + FL*WL 915Ancho de vigueta=Av 0.4Wu= Av * W 366

Cálculo de M.E.P.Momento izquierda "Mi", Momento derecha "Md" Mi

0 762.50I= 100

Rigideces 33759.00Factores 0Coeficiente de rigidez 0 0

"K" 0

CROSS 1"K"*-1 0 0

0 762.50762.50

0 0.00

Mi=-Md= Wu*L2/12 MEP

Mi=-Md= WL2/12 M.E.P.

Page 28: Diseño Losa Guzmala

-36.03-36.03

0 0.0010.26

10.260 0.00

-3.69-3.69

0 0.00-0.02

-0.020 0.00

-0.69-0.69

0 0.00-0.10

-0.100 0.00

Momento-Final 0 732.23Momento-FINAL3 0 732.23

Page 29: Diseño Losa Guzmala

2 Tramo 2 3 Tramo 3 4

300 300 400 3005.5 6

Carga viva: S/C5 m 4.5 W1 400 kg/m

5.5 m 4 W2 350 kg/m6 m 3 W3 350 kg/m

6.2 m 4 W4 350 kg/m5 m 4 W5 350 kg/m

5.5 m 3 W6 350 kg/m6 m 4 W7 350 kg/m

peso de losa 390 kg/m2120 kg/m2

100 kg/m2WD 610 kg/m2

Empotrado= 06.2 m NO Empotrado= 1

0.25 m0.30 m Factores de amplificación:

FD 1.5FL 1.8

5.5 60 0

915 9150 0

915 9150.4 0.4366 366

Md Mi Md Mi Md Mi

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42100 100

30690.00 28132.500.75 1 1 1 1 1.00

25319.25 30690.00 30690.00 28132.50 28132.50 27225.00

0.45 0.55 0.52 0.48 0.51 0.49

2 3 4-0.45 -0.55 -0.52 -0.48 -0.51 -0.49

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42160.13 175.37

-72.06 -88.07 -91.19 -84.18 -37.95 -36.47

Page 30: Diseño Losa Guzmala

0.00 -45.60 -44.04 -18.98 -42.09 92.23-45.60 -63.02

20.52 25.08 32.77 30.25 -25.57 -24.570.00 16.39 12.54 -12.79 15.13 13.48

16.39 -0.25-7.38 -9.01 0.13 0.12 -14.59 -14.020.00 0.07 -4.51 -7.30 0.06 6.34

0.07 -11.81-0.03 -0.04 6.14 5.67 -3.26 -3.140.00 3.07 -0.02 -1.63 2.84 3.21

3.07 -1.65-1.38 -1.69 0.86 0.79 -3.09 -2.960.00 0.43 -0.85 -1.55 0.40 1.06

0.43 -2.40-0.19 -0.24 1.25 1.15 -0.74 -0.720.00 0.63 -0.12 -0.37 0.58 0.68

0.63 -0.49-0.28 -0.35 0.25 0.24 -0.64 -0.62

-823.30 823.30 -1009.42 1009.42 -1206.92 1206.92823.3 823.3 1009.42 1009.42 1206.92 1206.92

Page 31: Diseño Losa Guzmala

Tramo 4 5 Tramo 5 6 Tramo 6300 300 3006.2 5 5.5

250400250

250400250250

6.2 5 5.50 0 0

915 915 9150 0 0

915 915 9150.4 0.4 0.4366 366 366

Md Mi Md Mi

-1172.42 762.50 -762.50 922.63100 100 100

27225.00 33759.00 30690.001 1 1.00 1

27225 33759 33759.00 30690

0.45 0.55 0.52 0.48

5 6-0.45 -0.55 -0.52 -0.48

-1172.42 762.50 -762.50 922.6374.42 -409.92 160.13

184.46 225.46 -83.27 -76.86

Page 32: Diseño Losa Guzmala

-18.24 -41.64 112.73 -51.7450.14 -59.88 60.99

26.95 32.93 -31.71 -29.28-12.29 -15.86 16.47 11.34

28.61 -28.15 27.8112.67 15.48 -14.46 -13.35-7.01 -7.23 7.74 4.32

6.40 -14.24 12.066.41 7.83 -6.27 -5.79-1.57 -3.14 3.92 1.97

6.05 -4.71 5.892.12 2.59 -3.06 -2.83-1.48 -1.53 1.30 0.86

1.46 -3.01 2.161.35 1.66 -1.12 -1.04-0.36 -0.56 0.83 0.42

1.26 -0.92 1.250.41 0.51 -0.65 -0.60

-979.00 979.00 -760.05 760.05979 979.00 760.05 760.05

Page 33: Diseño Losa Guzmala

7 Tramo 7 8

300 4006

60

9150

9150.4366

Md Mi Md

-922.63 1098.00 -1098.00100

28132.501.00 0.75 0

30690.00 21099 00.59 0.41 0

7 8-0.59 -0.41 0 0

-922.63 1098.00 -1098.00 0.00175.37 -1098.00

-103.47 -71.90 0.00 0.00

Page 34: Diseño Losa Guzmala

-38.43 0.00 -35.95 0.00-38.43 -18.24

22.67 15.76 0.00 0.00-14.64 0.00 7.88 0.00

-14.64 -12.298.64 6.00 0.00 0.00-6.68 0.00 3.00 0.00

-6.68 -7.013.94 2.74 0.00 0.00-2.90 0.00 1.37 0.00

-2.90 -1.571.71 1.19 0.00 0.00-1.42 0.00 0.60 0.00

-1.42 -1.480.84 0.58 0.00 0.00-0.52 0.00 0.29 0.00

-0.52 -0.360.31 0.21 0.00 0.00

-1052.58 1052.58 -1120.81 01052.58 1052.58 1120.81 0

Page 35: Diseño Losa Guzmala

DISEÑO DE LOSA ALIGERADAN° decimales = 2 1 Tramo 1

3005

DATOS: Tramo 1Tramo 2Tramo 3Tramo 4Tramo 5Tramo 6Tramo 7

peso de losatabiqueriaacabado

SOLUCIÓN:Luz (max)Peralte losa: Luz /25

aproximando

Longitud L 5Combinación de CARGA: 0

FD*WD 915FL*WL 0W=FD*WD + FL*WL 915Ancho de vigueta=Av 0.4Wu= Av * W 366

Cálculo de M.E.P.Momento izquierda "Mi", Momento derecha "Md" Mi

0 762.50I= 100

Rigideces 33759.00Factores 0Coeficiente de rigidez 0 0

"K" 0

CROSS 1"K"*-1 0 0

0 762.50762.50

0 0.00

Mi=-Md= Wu*L2/12 MEP

Mi=-Md= WL2/12 M.E.P.

Page 36: Diseño Losa Guzmala

-36.03-36.03

0 0.0010.26

10.260 0.00

-3.69-3.69

0 0.00-0.02

-0.020 0.00

-0.69-0.69

0 0.00-0.10

-0.100 0.00

Momento-Final 0 732.23Momento-FINAL4 0 732.23

Page 37: Diseño Losa Guzmala

2 Tramo 2 3 Tramo 3 4

300 300 400 3005.5 6

Carga viva: S/C5 m 4.5 W1 400 kg/m

5.5 m 4 W2 350 kg/m6 m 3 W3 350 kg/m

6.2 m 4 W4 350 kg/m5 m 4 W5 350 kg/m

5.5 m 3 W6 350 kg/m6 m 4 W7 350 kg/m

peso de losa 390 kg/m2120 kg/m2

100 kg/m2WD 610 kg/m2

Empotrado= 06.2 m NO Empotrado= 1

0.25 m0.30 m Factores de amplificación:

FD 1.5FL 1.8

5.5 60 0

915 9150 0

915 9150.4 0.4366 366

Md Mi Md Mi Md Mi

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42100 100

30690.00 28132.500.75 1 1 1 1 1.00

25319.25 30690.00 30690.00 28132.50 28132.50 27225.00

0.45 0.55 0.52 0.48 0.51 0.49

2 3 4-0.45 -0.55 -0.52 -0.48 -0.51 -0.49

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42160.13 175.37

-72.06 -88.07 -91.19 -84.18 -37.95 -36.47

Page 38: Diseño Losa Guzmala

0.00 -45.60 -44.04 -18.98 -42.09 92.23-45.60 -63.02

20.52 25.08 32.77 30.25 -25.57 -24.570.00 16.39 12.54 -12.79 15.13 13.48

16.39 -0.25-7.38 -9.01 0.13 0.12 -14.59 -14.020.00 0.07 -4.51 -7.30 0.06 6.34

0.07 -11.81-0.03 -0.04 6.14 5.67 -3.26 -3.140.00 3.07 -0.02 -1.63 2.84 3.21

3.07 -1.65-1.38 -1.69 0.86 0.79 -3.09 -2.960.00 0.43 -0.85 -1.55 0.40 1.06

0.43 -2.40-0.19 -0.24 1.25 1.15 -0.74 -0.720.00 0.63 -0.12 -0.37 0.58 0.68

0.63 -0.49-0.28 -0.35 0.25 0.24 -0.64 -0.62

-823.30 823.30 -1009.42 1009.42 -1206.92 1206.92823.3 823.3 1009.42 1009.42 1206.92 1206.92

Page 39: Diseño Losa Guzmala

Tramo 4 5 Tramo 5 6 Tramo 6300 300 3006.2 5 5.5

250400250

250400250250

6.2 5 5.50 0 0

915 915 9150 0 0

915 915 9150.4 0.4 0.4366 366 366

Md Mi Md Mi

-1172.42 762.50 -762.50 922.63100 100 100

27225.00 33759.00 30690.001 1 1.00 1

27225 33759 33759.00 30690

0.45 0.55 0.52 0.48

5 6-0.45 -0.55 -0.52 -0.48

-1172.42 762.50 -762.50 922.6374.42 -409.92 160.13

184.46 225.46 -83.27 -76.86

Page 40: Diseño Losa Guzmala

-18.24 -41.64 112.73 -51.7450.14 -59.88 60.99

26.95 32.93 -31.71 -29.28-12.29 -15.86 16.47 11.34

28.61 -28.15 27.8112.67 15.48 -14.46 -13.35-7.01 -7.23 7.74 4.32

6.40 -14.24 12.066.41 7.83 -6.27 -5.79-1.57 -3.14 3.92 1.97

6.05 -4.71 5.892.12 2.59 -3.06 -2.83-1.48 -1.53 1.30 0.86

1.46 -3.01 2.161.35 1.66 -1.12 -1.04-0.36 -0.56 0.83 0.42

1.26 -0.92 1.250.41 0.51 -0.65 -0.60

-979.00 979.00 -760.05 760.05979 979.00 760.05 760.05

Page 41: Diseño Losa Guzmala

7 Tramo 7 8

300 4006

60

9150

9150.4366

Md Mi Md

-922.63 1098.00 -1098.00100

28132.501.00 0.75 0

30690.00 21099 00.59 0.41 0

7 8-0.59 -0.41 0 0

-922.63 1098.00 -1098.00 0.00175.37 -1098.00

-103.47 -71.90 0.00 0.00

Page 42: Diseño Losa Guzmala

-38.43 0.00 -35.95 0.00-38.43 -18.24

22.67 15.76 0.00 0.00-14.64 0.00 7.88 0.00

-14.64 -12.298.64 6.00 0.00 0.00-6.68 0.00 3.00 0.00

-6.68 -7.013.94 2.74 0.00 0.00-2.90 0.00 1.37 0.00

-2.90 -1.571.71 1.19 0.00 0.00-1.42 0.00 0.60 0.00

-1.42 -1.480.84 0.58 0.00 0.00-0.52 0.00 0.29 0.00

-0.52 -0.360.31 0.21 0.00 0.00

-1052.58 1052.58 -1120.81 01052.58 1052.58 1120.81 0

Page 43: Diseño Losa Guzmala

DISEÑO DE LOSA ALIGERADAN° decimales = 2 1 Tramo 1

3005

DATOS: Tramo 1Tramo 2Tramo 3Tramo 4Tramo 5Tramo 6Tramo 7

peso de losatabiqueriaacabado

SOLUCIÓN:Luz (max)Peralte losa: Luz /25

aproximando

Longitud L 5Combinación de CARGA: 0

FD*WD 915FL*WL 0W=FD*WD + FL*WL 915Ancho de vigueta=Av 0.4Wu= Av * W 366

Cálculo de M.E.P.Momento izquierda "Mi", Momento derecha "Md" Mi

0 762.50I= 100

Rigideces 33759.00Factores 0Coeficiente de rigidez 0 0

"K" 0

CROSS 1"K"*-1 0 0

0 762.50762.50

0 0.00

Mi=-Md= Wu*L2/12 MEP

Mi=-Md= WL2/12 M.E.P.

Page 44: Diseño Losa Guzmala

-36.03-36.03

0 0.0010.26

10.260 0.00

-3.69-3.69

0 0.00-0.02

-0.020 0.00

-0.69-0.69

0 0.00-0.10

-0.100 0.00

Momento-Final 0 732.23Momento-FINAL5 0 732.23

Page 45: Diseño Losa Guzmala

2 Tramo 2 3 Tramo 3 4

300 300 400 3005.5 6

Carga viva: S/C5 m 4.5 W1 400 kg/m

5.5 m 4 W2 350 kg/m6 m 3 W3 350 kg/m

6.2 m 4 W4 350 kg/m5 m 4 W5 350 kg/m

5.5 m 3 W6 350 kg/m6 m 4 W7 350 kg/m

peso de losa 390 kg/m2120 kg/m2

100 kg/m2WD 610 kg/m2

Empotrado= 06.2 m NO Empotrado= 1

0.25 m0.30 m Factores de amplificación:

FD 1.5FL 1.8

5.5 60 0

915 9150 0

915 9150.4 0.4366 366

Md Mi Md Mi Md Mi

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42100 100

30690.00 28132.500.75 1 1 1 1 1.00

25319.25 30690.00 30690.00 28132.50 28132.50 27225.00

0.45 0.55 0.52 0.48 0.51 0.49

2 3 4-0.45 -0.55 -0.52 -0.48 -0.51 -0.49

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42160.13 175.37

-72.06 -88.07 -91.19 -84.18 -37.95 -36.47

Page 46: Diseño Losa Guzmala

0.00 -45.60 -44.04 -18.98 -42.09 92.23-45.60 -63.02

20.52 25.08 32.77 30.25 -25.57 -24.570.00 16.39 12.54 -12.79 15.13 13.48

16.39 -0.25-7.38 -9.01 0.13 0.12 -14.59 -14.020.00 0.07 -4.51 -7.30 0.06 6.34

0.07 -11.81-0.03 -0.04 6.14 5.67 -3.26 -3.140.00 3.07 -0.02 -1.63 2.84 3.21

3.07 -1.65-1.38 -1.69 0.86 0.79 -3.09 -2.960.00 0.43 -0.85 -1.55 0.40 1.06

0.43 -2.40-0.19 -0.24 1.25 1.15 -0.74 -0.720.00 0.63 -0.12 -0.37 0.58 0.68

0.63 -0.49-0.28 -0.35 0.25 0.24 -0.64 -0.62

-823.30 823.30 -1009.42 1009.42 -1206.92 1206.92823.3 823.3 1009.42 1009.42 1206.92 1206.92

Page 47: Diseño Losa Guzmala

Tramo 4 5 Tramo 5 6 Tramo 6300 300 3006.2 5 5.5

250400250

250400250250

6.2 5 5.50 0 0

915 915 9150 0 0

915 915 9150.4 0.4 0.4366 366 366

Md Mi Md Mi

-1172.42 762.50 -762.50 922.63100 100 100

27225.00 33759.00 30690.001 1 1.00 1

27225 33759 33759.00 30690

0.45 0.55 0.52 0.48

5 6-0.45 -0.55 -0.52 -0.48

-1172.42 762.50 -762.50 922.6374.42 -409.92 160.13

184.46 225.46 -83.27 -76.86

Page 48: Diseño Losa Guzmala

-18.24 -41.64 112.73 -51.7450.14 -59.88 60.99

26.95 32.93 -31.71 -29.28-12.29 -15.86 16.47 11.34

28.61 -28.15 27.8112.67 15.48 -14.46 -13.35-7.01 -7.23 7.74 4.32

6.40 -14.24 12.066.41 7.83 -6.27 -5.79-1.57 -3.14 3.92 1.97

6.05 -4.71 5.892.12 2.59 -3.06 -2.83-1.48 -1.53 1.30 0.86

1.46 -3.01 2.161.35 1.66 -1.12 -1.04-0.36 -0.56 0.83 0.42

1.26 -0.92 1.250.41 0.51 -0.65 -0.60

-979.00 979.00 -760.05 760.05979 979.00 760.05 760.05

Page 49: Diseño Losa Guzmala

7 Tramo 7 8

300 4006

60

9150

9150.4366

Md Mi Md

-922.63 1098.00 -1098.00100

28132.501.00 0.75 0

30690.00 21099 00.59 0.41 0

7 8-0.59 -0.41 0 0

-922.63 1098.00 -1098.00 0.00175.37 -1098.00

-103.47 -71.90 0.00 0.00

Page 50: Diseño Losa Guzmala

-38.43 0.00 -35.95 0.00-38.43 -18.24

22.67 15.76 0.00 0.00-14.64 0.00 7.88 0.00

-14.64 -12.298.64 6.00 0.00 0.00-6.68 0.00 3.00 0.00

-6.68 -7.013.94 2.74 0.00 0.00-2.90 0.00 1.37 0.00

-2.90 -1.571.71 1.19 0.00 0.00-1.42 0.00 0.60 0.00

-1.42 -1.480.84 0.58 0.00 0.00-0.52 0.00 0.29 0.00

-0.52 -0.360.31 0.21 0.00 0.00

-1052.58 1052.58 -1120.81 01052.58 1052.58 1120.81 0

Page 51: Diseño Losa Guzmala

DISEÑO DE LOSA ALIGERADAN° decimales = 2 1 Tramo 1

3005

DATOS: Tramo 1Tramo 2Tramo 3Tramo 4Tramo 5Tramo 6Tramo 7

peso de losatabiqueriaacabado

SOLUCIÓN:Luz (max)Peralte losa: Luz /25

aproximando

Longitud L 5Combinación de CARGA: 0

FD*WD 915FL*WL 0W=FD*WD + FL*WL 915Ancho de vigueta=Av 0.4Wu= Av * W 366

Cálculo de M.E.P.Momento izquierda "Mi", Momento derecha "Md" Mi

0 762.50I= 100

Rigideces 33759.00Factores 0Coeficiente de rigidez 0 0

"K" 0

CROSS 1"K"*-1 0 0

0 762.50762.50

0 0.00

Mi=-Md= Wu*L2/12 MEP

Mi=-Md= WL2/12 M.E.P.

Page 52: Diseño Losa Guzmala

-36.03-36.03

0 0.0010.26

10.260 0.00

-3.69-3.69

0 0.00-0.02

-0.020 0.00

-0.69-0.69

0 0.00-0.10

-0.100 0.00

Momento-Final 0 732.23Momento-FINAL6 0 732.23

Page 53: Diseño Losa Guzmala

2 Tramo 2 3 Tramo 3 4

300 300 400 3005.5 6

Carga viva: S/C5 m 4.5 W1 400 kg/m

5.5 m 4 W2 350 kg/m6 m 3 W3 350 kg/m

6.2 m 4 W4 350 kg/m5 m 4 W5 350 kg/m

5.5 m 3 W6 350 kg/m6 m 4 W7 350 kg/m

peso de losa 390 kg/m2120 kg/m2

100 kg/m2WD 610 kg/m2

Empotrado= 06.2 m NO Empotrado= 1

0.25 m0.30 m Factores de amplificación:

FD 1.5FL 1.8

5.5 60 0

915 9150 0

915 9150.4 0.4366 366

Md Mi Md Mi Md Mi

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42100 100

30690.00 28132.500.75 1 1 1 1 1.00

25319.25 30690.00 30690.00 28132.50 28132.50 27225.00

0.45 0.55 0.52 0.48 0.51 0.49

2 3 4-0.45 -0.55 -0.52 -0.48 -0.51 -0.49

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42160.13 175.37

-72.06 -88.07 -91.19 -84.18 -37.95 -36.47

Page 54: Diseño Losa Guzmala

0.00 -45.60 -44.04 -18.98 -42.09 92.23-45.60 -63.02

20.52 25.08 32.77 30.25 -25.57 -24.570.00 16.39 12.54 -12.79 15.13 13.48

16.39 -0.25-7.38 -9.01 0.13 0.12 -14.59 -14.020.00 0.07 -4.51 -7.30 0.06 6.34

0.07 -11.81-0.03 -0.04 6.14 5.67 -3.26 -3.140.00 3.07 -0.02 -1.63 2.84 3.21

3.07 -1.65-1.38 -1.69 0.86 0.79 -3.09 -2.960.00 0.43 -0.85 -1.55 0.40 1.06

0.43 -2.40-0.19 -0.24 1.25 1.15 -0.74 -0.720.00 0.63 -0.12 -0.37 0.58 0.68

0.63 -0.49-0.28 -0.35 0.25 0.24 -0.64 -0.62

-823.30 823.30 -1009.42 1009.42 -1206.92 1206.92823.3 823.3 1009.42 1009.42 1206.92 1206.92

Page 55: Diseño Losa Guzmala

Tramo 4 5 Tramo 5 6 Tramo 6300 300 3006.2 5 5.5

250400250

250400250250

6.2 5 5.50 0 0

915 915 9150 0 0

915 915 9150.4 0.4 0.4366 366 366

Md Mi Md Mi

-1172.42 762.50 -762.50 922.63100 100 100

27225.00 33759.00 30690.001 1 1.00 1

27225 33759 33759.00 30690

0.45 0.55 0.52 0.48

5 6-0.45 -0.55 -0.52 -0.48

-1172.42 762.50 -762.50 922.6374.42 -409.92 160.13

184.46 225.46 -83.27 -76.86

Page 56: Diseño Losa Guzmala

-18.24 -41.64 112.73 -51.7450.14 -59.88 60.99

26.95 32.93 -31.71 -29.28-12.29 -15.86 16.47 11.34

28.61 -28.15 27.8112.67 15.48 -14.46 -13.35-7.01 -7.23 7.74 4.32

6.40 -14.24 12.066.41 7.83 -6.27 -5.79-1.57 -3.14 3.92 1.97

6.05 -4.71 5.892.12 2.59 -3.06 -2.83-1.48 -1.53 1.30 0.86

1.46 -3.01 2.161.35 1.66 -1.12 -1.04-0.36 -0.56 0.83 0.42

1.26 -0.92 1.250.41 0.51 -0.65 -0.60

-979.00 979.00 -760.05 760.05979 979.00 760.05 760.05

Page 57: Diseño Losa Guzmala

7 Tramo 7 8

300 4006

60

9150

9150.4366

Md Mi Md

-922.63 1098.00 -1098.00100

28132.501.00 0.75 0

30690.00 21099 00.59 0.41 0

7 8-0.59 -0.41 0 0

-922.63 1098.00 -1098.00 0.00175.37 -1098.00

-103.47 -71.90 0.00 0.00

Page 58: Diseño Losa Guzmala

-38.43 0.00 -35.95 0.00-38.43 -18.24

22.67 15.76 0.00 0.00-14.64 0.00 7.88 0.00

-14.64 -12.298.64 6.00 0.00 0.00-6.68 0.00 3.00 0.00

-6.68 -7.013.94 2.74 0.00 0.00-2.90 0.00 1.37 0.00

-2.90 -1.571.71 1.19 0.00 0.00-1.42 0.00 0.60 0.00

-1.42 -1.480.84 0.58 0.00 0.00-0.52 0.00 0.29 0.00

-0.52 -0.360.31 0.21 0.00 0.00

-1052.58 1052.58 -1120.81 01052.58 1052.58 1120.81 0

Page 59: Diseño Losa Guzmala

DISEÑO DE LOSA ALIGERADAN° decimales = 2 1 Tramo 1

3005

DATOS: Tramo 1Tramo 2Tramo 3Tramo 4Tramo 5Tramo 6Tramo 7

peso de losatabiqueriaacabado

SOLUCIÓN:Luz (max)Peralte losa: Luz /25

aproximando

Longitud L 5Combinación de CARGA: 0

FD*WD 915FL*WL 0W=FD*WD + FL*WL 915Ancho de vigueta=Av 0.4Wu= Av * W 366

Cálculo de M.E.P.Momento izquierda "Mi", Momento derecha "Md" Mi

0 762.50I= 100

Rigideces 33759.00Factores 0Coeficiente de rigidez 0 0

"K" 0

CROSS 1"K"*-1 0 0

0 762.50762.50

0 0.00

Mi=-Md= Wu*L2/12 MEP

Mi=-Md= WL2/12 M.E.P.

Page 60: Diseño Losa Guzmala

-36.03-36.03

0 0.0010.26

10.260 0.00

-3.69-3.69

0 0.00-0.02

-0.020 0.00

-0.69-0.69

0 0.00-0.10

-0.100 0.00

Momento-Final 0 732.23Momento-FINAL7 0 732.23

Page 61: Diseño Losa Guzmala

2 Tramo 2 3 Tramo 3 4

300 300 400 3005.5 6

Carga viva: S/C5 m 4.5 W1 400 kg/m

5.5 m 4 W2 350 kg/m6 m 3 W3 350 kg/m

6.2 m 4 W4 350 kg/m5 m 4 W5 350 kg/m

5.5 m 3 W6 350 kg/m6 m 4 W7 350 kg/m

peso de losa 390 kg/m2120 kg/m2

100 kg/m2WD 610 kg/m2

Empotrado= 06.2 m NO Empotrado= 1

0.25 m0.30 m Factores de amplificación:

FD 1.5FL 1.8

5.5 60 0

915 9150 0

915 9150.4 0.4366 366

Md Mi Md Mi Md Mi

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42100 100

30690.00 28132.500.75 1 1 1 1 1.00

25319.25 30690.00 30690.00 28132.50 28132.50 27225.00

0.45 0.55 0.52 0.48 0.51 0.49

2 3 4-0.45 -0.55 -0.52 -0.48 -0.51 -0.49

-762.50 922.63 -922.63 1098.00 -1098.00 1172.42160.13 175.37

-72.06 -88.07 -91.19 -84.18 -37.95 -36.47

Page 62: Diseño Losa Guzmala

0.00 -45.60 -44.04 -18.98 -42.09 92.23-45.60 -63.02

20.52 25.08 32.77 30.25 -25.57 -24.570.00 16.39 12.54 -12.79 15.13 13.48

16.39 -0.25-7.38 -9.01 0.13 0.12 -14.59 -14.020.00 0.07 -4.51 -7.30 0.06 6.34

0.07 -11.81-0.03 -0.04 6.14 5.67 -3.26 -3.140.00 3.07 -0.02 -1.63 2.84 3.21

3.07 -1.65-1.38 -1.69 0.86 0.79 -3.09 -2.960.00 0.43 -0.85 -1.55 0.40 1.06

0.43 -2.40-0.19 -0.24 1.25 1.15 -0.74 -0.720.00 0.63 -0.12 -0.37 0.58 0.68

0.63 -0.49-0.28 -0.35 0.25 0.24 -0.64 -0.62

-823.30 823.30 -1009.42 1009.42 -1206.92 1206.92823.3 823.3 1009.42 1009.42 1206.92 1206.92

Page 63: Diseño Losa Guzmala

Tramo 4 5 Tramo 5 6 Tramo 6300 300 3006.2 5 5.5

250400250

250400250250

6.2 5 5.50 0 0

915 915 9150 0 0

915 915 9150.4 0.4 0.4366 366 366

Md Mi Md Mi

-1172.42 762.50 -762.50 922.63100 100 100

27225.00 33759.00 30690.001 1 1.00 1

27225 33759 33759.00 30690

0.45 0.55 0.52 0.48

5 6-0.45 -0.55 -0.52 -0.48

-1172.42 762.50 -762.50 922.6374.42 -409.92 160.13

184.46 225.46 -83.27 -76.86

Page 64: Diseño Losa Guzmala

-18.24 -41.64 112.73 -51.7450.14 -59.88 60.99

26.95 32.93 -31.71 -29.28-12.29 -15.86 16.47 11.34

28.61 -28.15 27.8112.67 15.48 -14.46 -13.35-7.01 -7.23 7.74 4.32

6.40 -14.24 12.066.41 7.83 -6.27 -5.79-1.57 -3.14 3.92 1.97

6.05 -4.71 5.892.12 2.59 -3.06 -2.83-1.48 -1.53 1.30 0.86

1.46 -3.01 2.161.35 1.66 -1.12 -1.04-0.36 -0.56 0.83 0.42

1.26 -0.92 1.250.41 0.51 -0.65 -0.60

-979.00 979.00 -760.05 760.05979 979.00 760.05 760.05

Page 65: Diseño Losa Guzmala

7 Tramo 7 8

300 4006

60

9150

9150.4366

Md Mi Md

-922.63 1098.00 -1098.00100

28132.501.00 0.75 0

30690.00 21099 00.59 0.41 0

7 8-0.59 -0.41 0 0

-922.63 1098.00 -1098.00 0.00175.37 -1098.00

-103.47 -71.90 0.00 0.00

Page 66: Diseño Losa Guzmala

-38.43 0.00 -35.95 0.00-38.43 -18.24

22.67 15.76 0.00 0.00-14.64 0.00 7.88 0.00

-14.64 -12.298.64 6.00 0.00 0.00-6.68 0.00 3.00 0.00

-6.68 -7.013.94 2.74 0.00 0.00-2.90 0.00 1.37 0.00

-2.90 -1.571.71 1.19 0.00 0.00-1.42 0.00 0.60 0.00

-1.42 -1.480.84 0.58 0.00 0.00-0.52 0.00 0.29 0.00

-0.52 -0.360.31 0.21 0.00 0.00

-1052.58 1052.58 -1120.81 01052.58 1052.58 1120.81 0