diseño zapata

CARRERA: Ingenieria CIVIL UNIVERSIDAD MAYOR DE SAN SIMONALUMNO: FACULTAD DE CIENCIAS Y TECNOLOGIAMATERIA: Fundaciones I FECHA: 4/22/2023 Pagina: / .

HOJA DE CALCULO

Diseño de fundacion aislada zapata tipo: c1 redondear cada 0 [cm]

Datos: fc= 210 [kg/cm2]fy= 4200 [kg/cm2] aPu= 45449 [kg]

bP = 34256 [kg] o oa = 35 [cm]b = 35 [cm]

2 [kg/cm2] A

1.- Dimensionamiento en planta

Diseñar en funcion de: 1.relacion de A/B2.relacion de a/b (columna)3.asumiendo A (lado largo)

elija la opcion 1 relacion de A/B = n = 1 Debe estar entre 1 y 2USAR

q=qadm ==> qadm=P ==>

B^2=P B= 130.87 [cm] 135

A * B n * qadm A= 130.874 [cm] 135

comprobacion de diseño A<2*B cumple

qu=Pu ==> qu= 2.49377 [kg/cm2]

2.- Dimensionamiento en elevacionC 9

A) Verificacion a corte por punzonamiento asumir V1 ###V2 ###

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 16.404373 [cm]

B) Verificacion a corte por flexiona m

sentido Xm=

50 [cm]2

= 336.659 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 15.106 [cm]

b nsentido Y

=50 [cm]

2= 336.659 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 15.106 [cm]

USAR UNA ZAPATA CON UN CANTO UTIL DE: 17 [cm] RECUBRIMIENTO 5 [cm]USAR UNA ZAPATA CON UN ESPESOR DE : 22 [cm]

3.- Transferencia de esfuerzo

37.10kg

= 116.02kg cumple

a*b cm2 cm2

4.- Calculo de refuerzos de acero

420824.0741 [kg*cm]2

a= 6.785 [cm2]0,85*fc*B 39 o o o o o o o o o o

6 B Φ12c/25

0,0018*B*h 5.183 [cm2] As1= 6.78475 [cm2] Φ= 12 usar 6 barrascada 25 [cm]

As2=2*As1 n*n

=420824.0741 [kg*cm]

1+β 2

As2= 6.78474658 [cm2]B 1 o o o o o o o o o o

A Φ12c/25

0,0018*A*h 5.346 [cm2] As2= 6.78474658 [cm2] Φ= 12 usar 6 barrascada 25 [cm]

5.- Verificacion por adherencia

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

mayor 30 < m-r 45 [cm] cumple mayor 30 < n-r 45 [cm] cumple

HOJA DE CALCULO

Diseño de fundacion aislada zapata tipo: B-1 redondear cada 0 [cm]

Datos: fc= 210 [kg/cm2]fy= 4200 [kg/cm2] aPu= 32574.35 [kg]

bP = 27976.92 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 118.2729 [cm] 120

A * B n * qadm A= 118.2728 [cm] 120

qu=Pu ==> qu= 2.26211 [kg/cm2]

V V3 21qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 15.476686 [cm] 20

sentido Xm=

47.5 [cm]2

= 271.453 [kg/cm] d

≤0,53*√f'c 4.15 7.7 A

Ø*B*d Cumple

d= 13.394 [cm] → usar 15 [cm]

b nsentido Y

=47.5 [cm]

2= 271.453 [kg/cm] d

≤0,53*√f'c 4.15 7.7 B

Ø*A*d Cumple

d= 13.394 [cm] → usar 15 [cm]

52.12kg

= 116.02kg cumple

a*b cm2 cm2

306232.8216 [kg*cm]2

5 B Φ16c/55

As2=2*As1 n*n

=306232.8216 [kg*cm]

1+β 2

As2= 4.13449297 [cm2]B 1 o o o o o o o o

A Φ16c/60

As3=As1-As2 = -0.0389 [cm2]

0,0018*A-B*h = 0 [cm2]2 o o o o

AAs3= 0.000 [cm2] Φ= 12 usar 0 barras #DIV/0!

cada ### [cm]

0,059*Asb*fy 34.38 [cm] 0,059*Asb*fy 34.38 [cm]

0,0057*db*fy 38.3 [cm] 0,0057*db*fy 38.3 [cm]

30 [cm] 30 [cm]

mayor 38 < m-r 42.5 [cm] cumple mayor 38.3 < n-r 42.5 [cm] cumple

HOJA DE CALCULO

Diseño de fundacion aislada zapata tipo: C-1 redondear cada 0 [cm]

bP = 48403 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 155.5684 [cm] 160

A * B n * qadm A= 155.5683 [cm] 160

qu=Pu ==> qu= 2.43586 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 24.637479 [cm]

sentido Xm=

67.5 [cm]2

= 389.738 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 20.061 [cm]

b nsentido Y

=67.5 [cm]

2= 389.738 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 20.061 [cm]

99.77kg

= 116.02kg cumple

a*b cm2 cm2

887870.7422 [kg*cm]2

7 B Φ12c/18

As2=2*As1 n*n

=887870.7422 [kg*cm]

1+β 2

A Φ12c/18

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

mayor 30 < m-r 62.5 [cm] cumple mayor 30 < n-r 62.5 [cm] cumple

HOJA DE CALCULO

Diseño de fundacion aislada zapata tipo: D-1 redondear cada 0 [cm]

bP = 27776 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 117.8474 [cm] 120

A * B n * qadm A= 117.8474 [cm] 120

qu=Pu ==> qu= 2.46299 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 16.38511 [cm]

sentido Xm=

47.5 [cm]2

= 295.558 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 14.227 [cm] → usar 15 [cm]

b nsentido Y

=47.5 [cm]

2= 295.558 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 14.227 [cm] → usar 15 [cm]

56.75kg

= 116.02kg cumple

a*b cm2 cm2

333426.7448 [kg*cm]2

5 B Φ12c/27

As2=2*As1 n*n

=333426.7448 [kg*cm]

1+β 2

As2= 5.35402875 [cm2]B 1 o o o o o o o o

A Φ12c/30

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

Diseño de fundacion aislada zapata tipo: A-2 redondear cada 0 [cm]

bP = 31037 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 124.5733 [cm] 130

A * B n * qadm A= 124.5733 [cm] 130

qu=Pu ==> qu= 2.35538 [kg/cm2]

V V3 21qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 17.927902 [cm]

sentido Xm=

52.5 [cm]2

= 306.2 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 15.237 [cm]

b nsentido Y

=52.5 [cm]

2= 306.2 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 15.237 [cm]

63.69kg

= 116.02kg cumple

a*b cm2 cm2

421981.875 [kg*cm]2

6 B Φ12c/24

As2=2*As1 n*n

=421981.875 [kg*cm]

1+β 2

As2= 6.40844398 [cm2]B 1 o o o o o o o o

A Φ12c/26

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 54017 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

elija la opcion 1 relacion de A/B = n = 1.2 Debe estar entre 1 y 2USAR

B^2=P B= 150.0237 [cm] 155

A * B n * qadm A= 180.0283 [cm] 185

qu=Pu ==> qu= 2.42957 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 26.58651 [cm]

sentido Xm=

80 [cm]2

= 376.584 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 23.732 [cm]

b nsentido Y

=65 [cm]

2= 449.471 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 19.283 [cm]

111.47kg

= 116.02kg cumple

a*b cm2 cm2

1205068.108 [kg*cm]2

7 B Φ12c/14

As2=2*As1 n*n

=949507.4194 [kg*cm]

1+β 2

As2= 11.1488469 [cm2]B 1 o o o o o o o o

A Φ12c/17

As3=As1-As2 = 0.53946 [cm2]

0,0018*A-B*h = 0.864 [cm2]2 o o o o

AAs3= 0.864 [cm2] Φ= 12 usar 1 barras Φ12c/15

cada 15 [cm]

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 58207 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 170.5975 [cm] 175

A * B n * qadm A= 170.5975 [cm] 175

qu=Pu ==> qu= 2.45238 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 27.957082 [cm]

sentido Xm=

75 [cm]2

= 429.166 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 22.396 [cm]

b nsentido Y

=75 [cm]

2= 429.166 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 22.396 [cm]

120.17kg

= 116.02kg no cumple

a*b cm2 cm2

1207028.571 [kg*cm]2

7 B Φ12c/16

As2=2*As1 n*n

=1207028.571 [kg*cm]

1+β 2

As2= 11.7349076 [cm2]B 1 o o o o o o o o

A Φ12c/17

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 51722 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 146.8021 [cm] 150

A * B n * qadm A= 176.1624 [cm] 180

qu=Pu ==> qu= 2.46537 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 25.74841 [cm]

sentido Xm=

77.5 [cm]2

= 369.806 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 23.228 [cm]

b nsentido Y

=62.5 [cm]

2= 443.767 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 18.732 [cm]

106.50kg

= 116.02kg cumple

a*b cm2 cm2

1110572.309 [kg*cm]2

6 B Φ12c/14

As2=2*As1 n*n

=866731.7708 [kg*cm]

1+β 2

As2= 10.6491051 [cm2]B 1 o o o o o o o o

A Φ12c/16

As3=As1-As2 = 0.53246 [cm2]

0,0018*A-B*h = 0.837 [cm2]2 o o o o

cada 7 [cm]

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 28978 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 120.3703 [cm] 125

A * B n * qadm A= 120.3703 [cm] 125

qu=Pu ==> qu= 2.38534 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 17.054859 [cm]

sentido Xm=

50 [cm]2

= 298.168 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 14.642 [cm] → usar 15 [cm]

b nsentido Y

=50 [cm]

2= 298.168 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 14.642 [cm] → usar 15 [cm]

59.63kg

= 116.02kg cumple

a*b cm2 cm2

372710 [kg*cm]2

5 B Φ12c/28

As2=2*As1 n*n

=372710 [kg*cm]

1+β 2

A Φ12c/28

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

bo=2*(a+b+2*d) Ø*Vcadm=1,06*√f'c

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

fa= fau= Ø*0,85*fc fa<fau

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

As3min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

As3min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

As3min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

} }}} }

} }}} }}

} }}} }

HOJA DE CALCULO

bP = 54227 [kg] o oa = 30 [cm]b = 30 [cm]

2 [kg/cm2] A

B^2=P B= 164.6618 [cm] 170

A * B n * qadm A= 164.6618 [cm] 170

qu=Pu ==> qu= 2.42827 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 24.865205 [cm]

sentido Xm=

70 [cm]2

= 412.806 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 20.758 [cm]

b nsentido Y

=70 [cm]

2= 412.806 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 20.758 [cm]

77.97kg

= 116.02kg cumple

a*b cm2 cm2

1011374.412 [kg*cm]2

7 B Φ12c/17

As2=2*As1 n*n

=1011374.412 [kg*cm]

1+β 2

A Φ12c/17

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 57778 [kg] o oa = 30 [cm]b = 30 [cm]

2 [kg/cm2] A

B^2=P B= 155.1586 [cm] 160

A * B n * qadm A= 186.1902 [cm] 190

qu=Pu ==> qu= 2.45336 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 25.948666 [cm]

sentido Xm=

80 [cm]2

= 392.537 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 23.895 [cm]

b nsentido Y

=65 [cm]

2= 466.138 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 19.415 [cm]

82.87kg

= 116.02kg cumple

a*b cm2 cm2

1256117.895 [kg*cm]2

7 B Φ12c/13

As2=2*As1 n*n

=984715.4688 [kg*cm]

1+β 2

As2= 12.1414805 [cm2]B 1 o o o o o o o o

A Φ12c/16

As3=As1-As2 = 0.56913 [cm2]

0,0018*A-B*h = 0.837 [cm2]2 o o o o

cada 15 [cm]

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 44647 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 149.41 [cm] 150

A * B n * qadm A= 149.4105 [cm] 150

qu=Pu ==> qu= 2.55067 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 23.180993 [cm]

sentido Xm=

62.5 [cm]2

= 382.6 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 19.181 [cm]

b nsentido Y

=62.5 [cm]

2= 382.6 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 19.181 [cm]

91.82kg

= 116.02kg cumple

a*b cm2 cm2

747265.625 [kg*cm]2

6 B Φ12c/20

As2=2*As1 n*n

=747265.625 [kg*cm]

1+β 2

A Φ12c/20

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 33761 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 118.6048 [cm] 120

A * B n * qadm A= 142.3257 [cm] 145

qu=Pu ==> qu= 2.49799 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 19.033239 [cm]

sentido Xm=

60 [cm]2

= 299.759 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 18.149 [cm]

b nsentido Y

=47.5 [cm]

2= 362.208 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 14.368 [cm] → usar 15 [cm]

69.54kg

= 116.02kg cumple

a*b cm2 cm2

539565.5172 [kg*cm]2

5 B Φ12c/18

As2=2*As1 n*n

=408616.276 [kg*cm]

1+β 2

As2= 6.70729816 [cm2]B 1 o o o o o o o o

A Φ12c/24

As3=As1-As2 = 0.34934 [cm2]

0,0018*A-B*h = 0.5625 [cm2]2 o o o o

cada 12 [cm]

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

mayor 30 < m-r 55 [cm] cumple mayor 30 < n-r 42.5 [cm] cumple

HOJA DE CALCULO

bP = 59302 [kg] o oa = 30 [cm]b = 30 [cm]

2 [kg/cm2] A

B^2=P B= 172.1947 [cm] 175

A * B n * qadm A= 172.1947 [cm] 175

qu=Pu ==> qu= 2.50648 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 26.442158 [cm]

sentido Xm=

72.5 [cm]2

= 438.634 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 21.982 [cm]

b nsentido Y

=72.5 [cm]

2= 438.634 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 21.982 [cm]

85.29kg

= 116.02kg cumple

a*b cm2 cm2

1152785.732 [kg*cm]2

7 B Φ12c/16

As2=2*As1 n*n

=1152785.732 [kg*cm]

1+β 2

A Φ12c/16

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 68687 [kg] o oa = 30 [cm]b = 30 [cm]

2 [kg/cm2] A

B^2=P B= 185.32 [cm] 190

A * B n * qadm A= 185.32 [cm] 190

qu=Pu ==> qu= 2.45906 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 29.312966 [cm]

sentido Xm=

80 [cm]2

= 467.221 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 23.934 [cm]

b nsentido Y

=80 [cm]

2= 467.221 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 23.934 [cm]

98.64kg

= 116.02kg cumple

a*b cm2 cm2

1495107.368 [kg*cm]2

8 B Φ12c/16

As2=2*As1 n*n

=1495107.368 [kg*cm]

1+β 2

As2= 13.5641105 [cm2]B 1 o o o o o o o o

A Φ12c/17

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 55023 [kg] o oa = 30 [cm]b = 30 [cm]

2 [kg/cm2] A

B^2=P B= 165.866 [cm] 170

A * B n * qadm A= 165.8659 [cm] 170

qu=Pu ==> qu= 2.45235 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 25.023017 [cm]

sentido Xm=

70 [cm]2

= 416.9 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 20.902 [cm]

b nsentido Y

=70 [cm]

2= 416.9 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 20.902 [cm]

78.75kg

= 116.02kg cumple

a*b cm2 cm2

1021405 [kg*cm]2

7 B Φ12c/17

As2=2*As1 n*n

=1021405 [kg*cm]

1+β 2

As2= 10.6973958 [cm2]B 1 o o o o o o o o

A Φ12c/18

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 43454 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 134.558 [cm] 135

A * B n * qadm A= 161.4695 [cm] 165

qu=Pu ==> qu= 2.50774 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 22.77353 [cm]

sentido Xm=

70 [cm]2

= 338.545 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 21.231 [cm]

b nsentido Y

=55 [cm]

2= 413.778 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 16.682 [cm]

89.38kg

= 116.02kg cumple

a*b cm2 cm2

829436.3636 [kg*cm]2

6 B Φ12c/15

As2=2*As1 n*n

=625838.8889 [kg*cm]

1+β 2

As2= 8.92137135 [cm2]B 1 o o o o o o o o

A Φ12c/19

As3=As1-As2 = 0.49563 [cm2]

0,0018*A-B*h = 0.756 [cm2]2 o o o o

cada 15 [cm]

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 75671 [kg] o oa = 30 [cm]b = 30 [cm]

2 [kg/cm2] A

B^2=P B= 194.5135 [cm] 195

A * B n * qadm A= 194.5135 [cm] 195

qu=Pu ==> qu= 2.57181 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 31.23684 [cm]

sentido Xm=

82.5 [cm]2

= 501.503 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 25.465 [cm]

b nsentido Y

=82.5 [cm]

2= 501.503 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 25.465 [cm]

108.66kg

= 116.02kg cumple

a*b cm2 cm2

1706675.913 [kg*cm]2

a= 14.51 [cm2]0,85*fc*B ### o o o o o o o o o o

8 B Φ12c/15

As2=2*As1 n*n

=1706675.913 [kg*cm]

1+β 2

As2= 14.5061597 [cm2]B 1 o o o o o o o o

A Φ12c/16

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

As3min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

As3min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

As3min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

} }}} }

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 81986 [kg] o oa = 35 [cm]b = 35 [cm]

2 [kg/cm2] A

B^2=P B= 193.045 [cm] 195

A * B n * qadm A= 212.3495 [cm] 215

qu=Pu ==> qu= 2.52849 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 31.147152 [cm]

sentido Xm=

90 [cm]2

= 493.056 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 27.454 [cm]

b nsentido Y

=80 [cm]

2= 543.626 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 24.404 [cm]

86.54kg

= 116.02kg cumple

a*b cm2 cm2

1996876.047 [kg*cm]2

a= 17.06 [cm2]0,85*fc*B ### o o o o o o o o o o

8 B Φ12c/12

As2=2*As1 n*n

=1739602.051 [kg*cm]

1+β 2

As2= 16.2250498 [cm2]B 1 o o o o o o o o

A Φ16c/24

As3=As1-As2 = 0.41603 [cm2]

0,0018*A-B*h = 0.666 [cm2]2 o o o o

cada 10 [cm]

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 34.38 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 38.3 [cm]

30 [cm] 30 [cm]

mayor 30 < m-r 85 [cm] cumple mayor 38.3 < n-r 75 [cm] cumple

HOJA DE CALCULO

bP = 62981 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 177.4557 [cm] 180

A * B n * qadm A= 177.4556 [cm] 180

qu=Pu ==> qu= 2.50593 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 29.417757 [cm]

sentido Xm=

77.5 [cm]2

= 451.067 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 23.494 [cm]

b nsentido Y

=77.5 [cm]

2= 451.067 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 23.494 [cm]

129.91kg

= 116.02kg no cumple

a*b cm2 cm2

1354609.583 [kg*cm]2

8 B Φ12c/17

As2=2*As1 n*n

=1354609.583 [kg*cm]

1+β 2

A Φ12c/17

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 20734 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 101.8185 [cm] 105

A * B n * qadm A= 101.8185 [cm] 105

qu=Pu ==> qu= 2.398 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 13.082984 [cm] → usar 15 [cm]

sentido Xm=

40 [cm]2

= 251.79 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 11.757 [cm] → usar 15 [cm]

b nsentido Y

=40 [cm]

2= 251.79 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 11.757 [cm] → usar 15 [cm]

42.30kg

= 116.02kg cumple

a*b cm2 cm2

201432.381 [kg*cm]2

4 B Φ12c/31

As2=2*As1 n*n

=201432.381 [kg*cm]

1+β 2

A Φ12c/31

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 37428 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 124.88 [cm] 125

A * B n * qadm A= 149.8559 [cm] 150

qu=Pu ==> qu= 2.56491 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 20.438407 [cm]

sentido Xm=

62.5 [cm]2

= 320.613 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 19.256 [cm]

b nsentido Y

=50 [cm]

2= 384.736 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 15.404 [cm]

76.95kg

= 116.02kg cumple

a*b cm2 cm2

626197.9167 [kg*cm]2

5 B Φ12c/16

As2=2*As1 n*n

=480920 [kg*cm]

1+β 2

As2= 7.44470092 [cm2]B 1 o o o o o o o o

A Φ12c/20

As3=As1-As2 = 0.37224 [cm2]

0,0018*A-B*h = 0.585 [cm2]2 o o o o

cada 12 [cm]

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

mayor 30 < m-r 57.5 [cm] cumple mayor 30 < n-r 45 [cm] cumple

HOJA DE CALCULO

bP = 40125 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 141.6422 [cm] 145

A * B n * qadm A= 141.6422 [cm] 145

qu=Pu ==> qu= 2.45384 [kg/cm2]

V V3 20qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 21.563932 [cm]

sentido Xm=

60 [cm]2

= 355.807 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 17.924 [cm]

b nsentido Y

=60 [cm]

2= 355.807 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 17.924 [cm]

82.55kg

= 116.02kg cumple

a*b cm2 cm2

640452.4138 [kg*cm]2

6 B Φ12c/19

As2=2*As1 n*n

=640452.4138 [kg*cm]

1+β 2

As2= 7.93357645 [cm2]B 1 o o o o o o o o

A Φ12c/20

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

HOJA DE CALCULO

bP = 23629 [kg] o oa = 25 [cm]b = 25 [cm]

2 [kg/cm2] A

B^2=P B= 108.6946 [cm] 110

A * B n * qadm A= 108.6945 [cm] 110

qu=Pu ==> qu= 2.49347 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 14.457802 [cm] → usar 15 [cm]

sentido Xm=

42.5 [cm]2

= 274.282 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 12.839 [cm] → usar 15 [cm]

b nsentido Y

=42.5 [cm]

2= 274.282 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 12.839 [cm] → usar 15 [cm]

48.27kg

= 116.02kg cumple

a*b cm2 cm2

247710.767 [kg*cm]2

5 B Φ12c/33

As2=2*As1 n*n

=247710.767 [kg*cm]

1+β 2

A Φ12c/33

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

CARRERA: Ingenieria CIVIL UNIVERSIDAD MAYOR DE SAN SIMONALUMNO: MELEAN MUJICA HUGO FRANCO FACULTAD DE CIENCIAS Y TECNOLOGIAMATERIA: Fundaciones I FECHA: 4/22/2023 Pagina: / .

HOJA DE CALCULO

bP = 59302 [kg] o oa = 30 [cm]b = 30 [cm]

2 [kg/cm2] A

B^2=P B= 172.1947 [cm] 175

A * B n * qadm A= 172.1947 [cm] 175

qu=Pu ==> qu= 2.50648 [kg/cm2]

V V3 19qu*(A*B-(a+d)(b+d))

2*(a+b+2*d) *d

V=qu*(A*B-Ao) d= 26.442158 [cm]

sentido Xm=

72.5 [cm]2

= 438.634 [kg/cm] d

≤0,53*√f'c A

Ø*B*d

d= 21.982 [cm]

b nsentido Y

=72.5 [cm]

2= 438.634 [kg/cm] d

≤0,53*√f'c B

Ø*A*d

d= 21.982 [cm]

85.29kg

= 116.02kg cumple

a*b cm2 cm2

1152785.732 [kg*cm]2

7 B Φ12c/165

As2=2*As1 n*n

=1152785.732 [kg*cm]

1+β 2

As2= 11.6320707 [cm2]B 1 o o o o o o o o

A Φ12c/17

0,059*Asb*fy 19.34 [cm] 0,059*Asb*fy 19.34 [cm]

0,0057*db*fy 28.73 [cm] 0,0057*db*fy 28.73 [cm]

30 [cm] 30 [cm]

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

As3min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

As3min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

q adm=A: lado largo

Vc=Vcadm

Vc=Ao=(a+d)(b+d))

Ø*bo*d1,06*√f'c=

qx=qu*B

Vx=qx*(m-d)

Vc=qx*(m-d)

qy=qu*A

Vy=qy*(n-d)

Vc=qy*(n-d)

As1=M1X

MY=qXØ*fy*(d-a/2)

As1*fyAs1=

As1min=

As2min=

√fc √fc

} }}} }}

} }}} }

}}}} } }}} }}}} } }}} }}}} } }}} }}}}} } }}}}}} } }}} }}} }}} }}}}} } }}} }}}}} } }}}}}} }}}}}}}}}}}}}}}}}}

} }}} }}

} }}} }

CARRERA: Ingenieria CIVIL UNIVERSIDAD MAYOR DE SAN SIMONALUMNO: Claros Choque Jorge Daniel FACULTAD DE CIENCIAS Y TECNOLOGIAMATERIA: fundaciones I FECHA: 4/22/2023 Pagina: / .

HOJA DE CALCULO

Diseño de fundacion combinada zapata tipo: A1:B1-A5:B5 redondear cada 1 [cm]

Datos:Pu1= 100000 [kg]

P1 = 50000 [kg] a1 a2 Pu2= 100000 [kg]a1 = 30 [cm]

b2P2 = 50000 [kg]

b1 = 30 [cm] o o o o a2 = 30 [cm]l b2 = 30 [cm]

fc= 180 [kg/cm2]fy= 5000 [kg/cm2] L

1 [kg/cm2]l= 250 [cm]

1.- Dimensionamiento en plantal

q=qadm ==> qadm=R B= R

L * B L * qadm

R=P1+P2 = 100000 [kg]A B

Σ MA = O P1*a1/2+P2*(l+a1/2)=R*L/2XA 15

● L=2*(P1*a1/2+P2*(l+a1/2))

= 280 [cm] ==> 280 [cm]R

● B=R

= 357.14 [cm] ==> 358 [cm]L * qadm

qu=Ru ==> qu= 1.9952 [kg/cm2]

2.- Dimensionamiento en elevacion

Verificacion a corte por punzonamiento asumirC 11 V2###

V Ao=(a+d)(b+d/2)) V1### V3 11qu*(A*B-(a+d)(b+d))

bo=2*(a+b)+3*d) 2*(a+b+2*d) *d

V=Pu-qu*Ao d= 46.854 [cm]C 11 V2###

V Ao=(a+d)(b+d/2)) V1### V3 22qu*(A*B-(a+d)(b+d))

bo=2*(a+b)+3*d 2*(a+b+2*d) *d

V=Pu-qu*Ao d= 33.772 [cm]

USAR d= 46.854 [cm]

q adm= L: lado largo

Vc=Vcadm

Vc=Ø*bo*d

1,06*√f'c=Ø*

Vcadm=1,06*√f'c

Vc=Ø*bo*d

1,06*√f'c=Ø*

Vcadm=1,06*√f'c

} }} }

3.- Analisis de esfuerzos

● Diagrama de cortantes ● Diagrama de momentos

V2 V4 M1 M2

V1= 0.0 [kg] M1= -3319001 [kg*cm]V2= -55818.6 [kg] M2= -3319001 [kg*cm]V3= 55818.6 [kg] M3= 1500000 [kg*cm]V4= 0.0 [kg]

* los momentos y cortantes son calculados a "d" cm de las columnas** si el valos de la cortante es "0" kg indica que ese punto no trabaja a cortante*** el momento M3 es calculado a : 140 [cm] desde el principio de la zapata

cuando en valor de la cortante es 0

UNIVERSIDAD MAYOR DE SAN SIMONFACULTAD DE CIENCIAS Y TECNOLOGIA

HOJA DE CALCULO

Informe de compatibilidad para ZAPATA AISLADA.XLSEjecutar el 18/03/2012 0:44

Pérdida menor de fidelidad Nº de apariciones

Las siguientes características de este libro no son compatibles con versiones anteriores de Excel. Estas características podrían perderse o degradarse si abre el libro con una versión anterior de Excel o si lo guarda con un formato de archivo anterior.

Algunas celdas o estilos de este libro contienen un formato no admitido en el formato de archivo seleccionado. Estos formatos se convertirán al formato más cercano disponible.

Versión

Excel 97-2003

Diseño de fundacion aislada zapata tipo: TIPO redondear cada 0[cm]

Datos: fc= 200[kg/cm2]

fy= 4200[kg/cm2] aPu= 4062.92 [kg]

bP = 2476.92 [kg] o oa = 25[cm]

b = 25[cm]q adm= 0.8[kg/cm2] A

elija la opcion 1relacion de A/B = n = 1 Debe estar entre 1 y 2USAR

B^2=P B= 55.6431 [cm] 70

A * B n * qadm A= 55.6431 [cm] 70

qu=Pu ==> qu= 0.8292 [kg/cm2]

A)Verificacion a corte por punzonamiento asumir Vc=Vcadm V1 ###V2 ###

V Ao=(a+d)(b+d)) V3 55Ø*bo*d qu*(A*B-(a+d)(b+d))

bo=2*(a+b+2*d) 2*(a+b+2*d) *dVcadm=1,06*√f'c

V=qu*(A*B-Ao) d= 2.7447 [cm] Usa 15cm

B)Verificacion a corte por flexiona m

sentido Xm=

22.5 [cm]2

qx=qu*B = 58.042 [kg/cm] d

Vx=qx*(m-d) d

Vc=qx*(m-d)

≤ Vcu=0,53*√f'c 1 7 A

Ø*B*d Cumple

d= 2.8921 [cm] → usar 15 [cm]

b nsentido Y

=22.5 [cm]

2qy=qu*A = 58.042 [kg/cm] d

Vy=qy*(n-d) d

Vc=qy*(n-d)

≤ Vcu=0,53*√f'c 1 7 B

Ø*A*d Cumple

d= 2.8921 [cm] → usar 15 [cm]

A: lado largo

Vc=1,06*√f'c=

Ø*} }}

USAR UNA ZAPATA CON UN CANTO UTIL DE: 15 [cm] RECUBRIMIENTO 5 [cm]

USAR UNA ZAPATA CON UN ESPESOR DE : 20 [cm]

fa= 6.50kg

fau= Ø*0,85*fc = 111kg

fa<faucumple

a*b cm2 cm2

As1=M1X

MY=qXm*m

=14691.81 [kg*cm]

a=As1*fy

As1= 0.26 [cm2]0,85*fc*B 3 o o o o o o o o o o

3 B Φ10c/12

As1min= 0,0018*B*h 2.003[cm2] As1= 2.003152 [cm2] Φ=### usar 6 barrascada 12 [cm]

As2=2*As1

MX=qYn*n

=14691.81 [kg*cm]

1+β 2

As2= 0.25991 [cm2]B 1 o o o o o o o o

A Φ10c/23

As2min= 0,0018*A*h 2.52 [cm2] As2= 2.52 [cm2] Φ=### usar 4 barrascada 23 [cm]

0,059*Asb*fy 13.76[cm] 0,059*Asb*fy 13.8 [cm]

0,0057*db*fy 23.94[cm] 0,0057*db*fy 23.9 [cm]

30 [cm] 30 [cm]

mayor 30 > m-r 17.5 [cm] falla mayor 30 > n-r 17.5 [cm] falla

Ø*fy*(d-a/2)

√fc √fc

Err:502Err:502Err:502Err:502

Columna1 Columna2 A As1 As2 As3 d

Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502

Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502

Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502

Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502

Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502

Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502

#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?

Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502Err:502 Err:502 Err:502 Err:502 Err:502 Err:502 Err:502

#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?

#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?

#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?

ID COLUMNA P (Kg)

C-A1 A1 C-A1 A1 C-A1 -55793.67

C-A2 A2 C-A2 A2 C-A2 -91097.76

C-A3 A3 C-A3 A3 C-A3 -59105.12

C-A4 A4 C-A4 A4 C-A4 -42259.32

C-A5 A5 C-A5 A5 C-A5 -43972.62

C-A6 A6 C-A6 A6 C-A6 -54829.4

C-A8 A8 C-A8 A8 C-A8 -38618.83

C-A9 A9 C-A9 A9 C-A9 -4157.85

C-B1 B1 C-B1 B1 C-B1 -65169.72

C-B2 B2 C-B2 B2 C-B2 -111955.482

C-B3 B3 C-B3 B3 C-B3 -94668.28

C-B4 B4 C-B4 B4 C-B4 -71439.37

C-B5 B5 C-B5 B5 C-B5 -105030.76

C-B6 B6 C-B6 B6 C-B6 -111039.399

C-B8 B8 C-B8 B8 C-B8 -67247.48

C-B9 B9 C-B9 B9 C-B9 -14211.13

C-C1 C1 C-C1 C1 C-C1 -86751.55

C-C2 C2 C-C2 C2 C-C2 -111681.922

C-C3 C3 C-C3 C3 C-C3 -160596.36

C-C4 C4 C-C4 C4 C-C4 -110881.12

C-C5 C5 C-C5 C5 C-C5 -111205.16

C-C6 C6 C-C6 C6 C-C6 -107786.16

C-C7 C7 C-C7 C7 C-C7 -82256.42

C-C9 C9 C-C9 C9 C-C9 -19825.92

C-D5 D5 C-D5 D5 C-D5 -54754

C-D6 D6 C-D6 D6 C-D6 -54733.45

C-D7 D7 C-D7 D7 C-D7 -43490.52

C-D9 D9 C-D9 D9 C-D9 -12593.66

C-E1 E1 C-E1 E1 C-E1 -45696.96

C-E2 E2 C-E2 E2 C-E2 -79905.43

C-E3 E3 C-E3 E3 C-E3 -15647.96

C- F10 F10 C- F10 F10 C- F10 -10640.85

N° COLUMNA

DOWELS

A1 C-A1 #N/A A1

A2 C-A2 #N/A A2

A3 C-A3 #N/A A3

A4 C-A4 #N/A A4

A5 C-A5 #N/A A5

A6 C-A6 #N/A A6

A8 C-A8 #N/A A8

A9 C-A9 #N/A A9

B1 C-B1 #N/A B1

B2 C-B2 #N/A B2

B3 C-B3 #N/A B3

B4 C-B4 #N/A B4

B5 C-B5 #N/A B5

B6 C-B6 #N/A B6

B8 C-B8 #N/A B8

B9 C-B9 #N/A B9

C1 C-C1 #N/A C1

C2 C-C2 #N/A C2

C3 C-C3 #N/A C3

C4 C-C4 #N/A C4

C5 C-C5 #N/A C5

C6 C-C6 #N/A C6

C7 C-C7 #N/A C7

C9 C-C9 #N/A C9

D5 C-D5 #N/A D5

D6 C-D6 #N/A D6

D7 C-D7 #N/A D7

D9 C-D9 #N/A D9

E1 C-E1 #N/A E1

E2 C-E2 #N/A E2

E3 C-E3 #N/A E3

F10 C- F10 #N/A F10

Pu (Kg) Mx (Kg*m) My (Kg*m)

-71341.03 -63.52 -490.73

-116925.42 -399.38 287.59

-75405.53 -263.24 -440.42

-54261.38 -27.58 519.96

-56227.9 -264.46 -316.55

-70201.28 -329.34 55.75

-49198.7 -105.17 -129.58

-5170.79 146.97 726.63

-83692 -623.92 -601.81

-144602.73 -792.76 -34.71 0.9

-120594.53 -267.68 223.55

-91591.49 -54.04 31.7

-136115.59 -615.61 -521.07

-143825.652 -642.5 148.2 0.9

-86622.66 -257.77 -170.84

-18251.59 -414.55 1526.56

-111737.68 156.33 -741.35

-144488.413 228.71 -217.22 0.68

-203276.51 382.84 738.72

-144355.19 481.79 -384.52

-145376.299 655.88 -421.31 0.88

-139820.706 925.95 720.23 0.9

-106119.02 1067.02 -1199.8

-25613.24 723.34 3305.14

-71381.93 1829.71 -447.81

-70199.12 1015.95 380.45

-55535.78 705.39 -794.05

-16022.44 795.58 2031.94

-58658.1 1401.23 -453.08

-103223.01 1856.7 3.71

-19964.65 1067.63 -15.11

-13539.56 100.5 28.04

transversal LONGa b N DOWELS A B EN A EN A' EN B

40 30 8Ø16 A1 C-A1 8Ø16 #N/A #N/A #N/A #N/A #N/A

40 30 8Ø16 B1 C-A9 8Ø16 #N/A #N/A #N/A #N/A #N/A

40 30 8Ø16 C1 C-A17 8Ø16 #N/A #N/A #N/A #N/A #N/A

40 30 8Ø16 D5 C-A25 8Ø16 #N/A #N/A #N/A #N/A #N/A

40 30 8Ø16 E1 C-A29 8Ø16 #N/A #N/A #N/A #N/A #N/A

40 30 8Ø16 F10 C-A32 8Ø16 #N/A #N/A #N/A #N/A #N/A

0.7D 0.3D 5

VERTI INCLD xf yf af bf xc yc a b h hf 1RO 2DO 3RO A

#N/A #N/A #N/A 45 35 #N/A #N/A 40 30 #N/A #N/A #N/A #N/A #N/A #N/A

C-5A' B

#N/A #N/A EXTRAE(AQ45,6,6)+0 1 _x0001_

#N/A #N/A X45 2 _x0002_

#N/A #N/A W45 3 _x0003_

#N/A #N/A 4 _x0004_

#N/A #N/A 5 _x0005_

#N/A #N/A 6 _x0006_

#N/A #N/A 7 _x0007_

#N/A #N/A 8 _x0008_

#N/A #N/A 9

#N/A #N/A 10

#N/A #N/A 11 _x000B_

#N/A #N/A 12 _x000C_

#N/A #N/A 13 _x000D_

#N/A #N/A 14 _x000E_

#N/A #N/A 15 _x000F_

#N/A #N/A 16 _x0010_

#N/A #N/A 17 _x0011_

#N/A #N/A 18 _x0012_

#N/A #N/A 19 _x0013_

#N/A #N/A 20 _x0014_

#N/A #N/A 21 _x0015_

#N/A #N/A 22 _x0016_

#N/A #N/A 23 _x0017_

#N/A #N/A 24 _x0018_

#N/A #N/A 25 _x0019_

#N/A #N/A 26 _x001A_

#N/A #N/A 27 _x001B_

#N/A #N/A 28 _x001C_

#N/A #N/A 29 _x001D_

#N/A #N/A 30 _x001E_

#N/A #N/A 31 _x001F_

#N/A #N/A 32 33 !34 "35 #36 $37 %38 &39 '40 (41 )42 *

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96 `97 a98 b99 c

100 d101 e102 f103 g104 h105 i106 j107 k108 l109 m110 n111 o112 p113 q114 r115 s116 t117 u118 v119 w120 x121 y122 z123 {124 |125 }126 ~127 �128 €129 �130 ‚131 ƒ132 „133 …134 †135 ‡136 ˆ137 ‰138 Š139 ‹140 Œ141 �142 Ž143 �144 �145 ‘146 ’147 “148 ”

149 •150 –151 —152 ˜153 ™154 š155 ›156 œ157 �158 ž159 Ÿ160161 ¡162 ¢163 £164 ¤165 ¥166 ¦167 §168 ¨169 ©170 ª171 «172 ¬173174 ®175 ¯176 °177 ±178 ²179 ³180 ´181 µ182 ¶183 ·184 ¸185 ¹186 º187 »188 ¼189 ½190 ¾191 ¿192 À193 Á194 Â195 Ã196 Ä197 Å198 Æ199 Ç200 È201 É

202 Ê203 Ë204 Ì205 Í206 Î207 Ï208 Ð209 Ñ210 Ò211 Ó212 Ô213 Õ214 Ö215 ×216 Ø217 Ù218 Ú219 Û220 Ü221 Ý222 Þ223 ß224 à225 á226 â227 ã228 ä229 å230 æ231 ç232 è233 é234 ê235 ë236 ì237 í238 î239 ï240 ð241 ñ242 ò243 ó244 ô245 õ246 ö247 ÷248 ø249 ù250 ú251 û252 ü253 ý254 þ

255 ÿ256 Err:502257 Err:502258 Err:502259 Err:502260 Err:502

A B xc yc D EN B EN A EN A'A1 210 165 85 67.5 30 Φ12c/14 Φ12c/16 Φ12c/11A2 270 210 115 90 40 Φ12c/10 Φ12c/12 Φ12c/15A3 215 170 87.5 70 30 Φ12c/12 Φ12c/15 Φ12c/11A4 180 145 70 57.5 25 Φ12c/16 Φ12c/18 Φ12c/17A5 185 145 72.5 57.5 25 Φ12c/15 Φ12c/18 Φ12c/20A6 210 160 85 65 30 Φ12c/13 Φ12c/16 Φ12c/12A8 175 135 67.5 52.5 25 Φ12c/17 Φ12c/22 Φ12c/20A9 110 100 35 35 20 Φ12c/90 Φ12c/33 Φ12c/5B1 230 175 95 72.5 35 Φ12c/12 Φ12c/14 Φ12c/13B2 300 230 130 100 45 Φ12c/9 Φ12c/10 Φ12c/11B3 275 210 117.5 90 40 Φ12c/10 Φ12c/11 Φ12c/10B4 240 185 100 77.5 35 Φ12c/11 Φ12c/14 Φ12c/13B5 290 225 125 97.5 45 Φ12c/9 Φ12c/11 Φ12c/10B6 395 230 177.5 100 45 Φ12c/6 Φ12c/8 Φ12c/13B8 230 180 95 75 35 Φ12c/13 Φ12c/15 Φ12c/12B9 110 100 35 35 20 Φ12c/45 Φ12c/33 Φ12c/5C1 260 205 110 87.5 40 Φ12c/11 Φ12c/12 Φ12c/13C2 300 230 130 100 45 Φ12c/9 Φ12c/10 Φ12c/11C3 355 275 157.5 122.5 55 Φ12c/7 Φ12c/8 Φ12c/10C4 295 230 127.5 100 45 Φ12c/9 Φ12c/10 Φ12c/10C5 300 230 130 100 45 Φ12c/9 Φ12c/10 Φ12c/11C6 295 225 127.5 97.5 45 Φ12c/9 Φ12c/10 Φ12c/11C7 255 200 107.5 85 40 Φ12c/11 Φ12c/12 Φ12c/13C9 125 100 42.5 35 20 Φ12c/30 Φ12c/33 Φ12c/12D5 210 160 85 65 30 Φ12c/13 Φ12c/16 Φ12c/12D6 210 160 85 65 30 Φ12c/13 Φ12c/16 Φ12c/12D7 185 145 72.5 57.5 25 Φ12c/15 Φ12c/18 Φ12c/20D9 110 100 35 35 20 Φ12c/45 Φ12c/33 Φ12c/5E1 190 150 75 60 25 Φ12c/14 Φ12c/16 Φ12c/20E2 250 195 105 82.5 40 Φ12c/12 Φ12c/13 Φ12c/13E3 115 100 37.5 35 20 Φ12c/45 Φ12c/33 Φ12c/7F10 110 100 35 35 20 Φ12c/45 Φ12c/33 Φ12c/5

xf yf af bf yc h hf82.5 65 45 35 67.5 21 9

112.5 87.5 45 35 90 28 1285 67.5 45 35 70 21 9

67.5 55 45 35 57.5 17.5 7.570 55 45 35 57.5 17.5 7.5

82.5 62.5 45 35 65 21 965 50 45 35 52.5 17.5 7.5

32.5 32.5 45 35 35 14 692.5 70 45 35 72.5 24.5 10.5

127.5 97.5 45 35 100 31.5 13.5115 87.5 45 35 90 28 1297.5 75 45 35 77.5 24.5 10.5

122.5 95 45 35 97.5 31.5 13.5175 97.5 45 35 100 31.5 13.592.5 72.5 45 35 75 24.5 10.532.5 32.5 45 35 35 14 6

107.5 85 45 35 87.5 28 12127.5 97.5 45 35 100 31.5 13.5155 120 45 35 122.5 38.5 16.5125 97.5 45 35 100 31.5 13.5

127.5 97.5 45 35 100 31.5 13.5125 95 45 35 97.5 31.5 13.5105 82.5 45 35 85 28 1240 32.5 45 35 35 14 6

82.5 62.5 45 35 65 21 982.5 62.5 45 35 65 21 970 55 45 35 57.5 17.5 7.5

32.5 32.5 45 35 35 14 672.5 57.5 45 35 60 17.5 7.5

102.5 80 45 35 82.5 28 1235 32.5 45 35 35 14 6

32.5 32.5 45 35 35 14 6

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