manual gtz

7/28/2019 Manual GTZ

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MANUAL GTZ

AUTOMATIZACIN


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ndiceCaptulo 1: Fuerzas - Paralelogramo de fuerzas

Captulo 2: Momentos de giro, palanca simple

Captulo 3: Velocidad - Velocidad circular

Captulo 4: Potencia mecnica Rendimiento

Captulo 5: Plano inclinado Cuna

Captulo 6: Poleas Aparejos

Captulo 7: Transmisiones por engranajes

Captulo 8: Transmisiones Mltiples

Captulo 9: Rueda dentada Cremallera Engranaje helicoidal

Captulo 10: Troneado cnico

Captulo 11: Presin sobre lquidos Amplificador de fuerzas

Captulo 12: Tensin y resistencia a la traccin

Captulo 13: Tensin por compresin Presin del vstago

Captulo 14: Tensin de corte Uniones remachadas

Captulo 15: Corte - Perforacin


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ndiceCaptulo 1: Fuerzas

Captulo 2: Trabajo

Captulo 3:

Captulo 4:

Captulo 5:


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2000

3000

250

150


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2172


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40000 181.81


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80 1920


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117.64 12


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2083.33 2916.67 6315.78


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7000 5000 40008000


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7291.67 6708.33 25.6 14.4


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CAPTULO 31.4

v = s

t

s = v.ts = 120 km . 1 h

h 4

s = 30 km

1 )


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v = s

t

v = 12km (4)

3.h

v = 16km = 16000m = 4.4m

h 3600 s s

2.)


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vm = s

t

vm = 200mm

0.6(60min)vm = 4.17mm = 0.25m

min s

vm = 15m

min

3.)


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v = s / t

s = v x t

s = 16 m x 16 min

60 min

s = 4.267 m

7.)


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v = s / t

t = s / v

t = 20 m x s

4m

t = 5 s

8.)


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CAPITULO 31.5

v = D x x n

v = 0.6 m x 3.14 x 1061

v = 33.3 m/s = 33.3 Km x 3600

1000hv = 120 Km / h

1.)


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v = D x x n

v = 0.12 m x 3.14 x 160

1 min

v = 60.3 m/min = 60.3 m60 s

v = 1 m/s

2.)


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v = D x x n

D = v

x n

D = 25 m x 60 s

3.14 x 2000

D = 0.239 m = 239 mm

3.)


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v = d. .n

n = __v__

d.

n = ______40m______

(0.012m)(3.14)(min.)

n = 1062min.

5.)


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v = d. .n

v = (0.08m)(3.14)(90)

min.

v = 22.6m

min.

6.)


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v = d. .n

n = __v__

d.

n = _____40 m______

(0.4m)(3.14)(min.)

n = 31.8

min.

7.)


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v = d. .n

v = (0.15m)(3.14)(2400)

min.

v = 1130m

min.

v = 1130m

60min.

v = 18.8m

s

8.)


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CAPTULO 32.3

1.kg. = 10 N

G = 600N + 400N

G = 1000N

P = F.s

t

P = (1000N)(5m)

15s

P = 333Nm

s

P = 333W

1.)


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P = F.v

v = 20_m_

min.

v = 0.33_m_s

P = (28000N)(0.333m)

s

P = 9324Nm

S

P = 9.324kW

2.)


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3.)

m = 1 T = 1 000 kg

G = 10 000 N

P = F x s

t

P = 10 000 N x 4 m

5 s

P = 8 000 Nm = 8 000 W

s

P = 8 kW


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4.)

v = d x x n

v = 0.1 m x 3.14 x 420 x 1

60 s

v = 2.2 m/s

P = F x v

P = 1 455 N x 2.2 m/s

P = 3 201 W = 3.201 KW


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5.)

P = F x s

tP = 200 N x 6 m

12 s

P = 100 Nm

s

P = 100 W


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6.)

P = F x s

tP = 20 000 N x 20 m

40 s

P = 10 000 Nm = 10 000 W

s

P = 10 kW


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7.)

v = 24 m/min = 0.4 m/s

P = F x v

F = P

v

F = 3 000 Ws (1W = 1 N m)

0.4 m s

F = 7 500 N

8 )


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8.)

700 m3 = 700 000 dm3 P = 7 000 000 N

n n t = 3 600 s

P = F x s

t

P = 7 000 000 N x 200 m

3 600 s

P = 388 888 Nm = 388 888 W

s

P = 389 kW


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a)

Solucin

20m

33.1


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b)

Solucin

120m


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c)

Solucin

10m


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a)

Solucin

33.2


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b)

Solucin


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c)

Solucin


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a)

Solucin

33.3


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b)

Solucin


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c)

Solucin

33 4


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1)

Solucin

33.4


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2)

Solucin


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3)

Solucin


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4)

Solucin


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5)

Solucin

6)


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6)

Solucin

7)


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7)

Solucin


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8)

Solucin

33.5


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1)


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2)


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4)


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)

5)


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5)

6)


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6)

7)


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7)


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34.1


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a)


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34.2


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1)

2)


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2)


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3)

4)


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4)

5)


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5)


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6)

7)


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Solucin


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8)

35.1


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SOLUCION


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SOLUCION

a)d=m*z

d= 1.75*16

d= 28mm

h=13/6m

h=13/6*1.75

h=3.79mm


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b)

d=m*z

d= 1.75*12

d= 21mm

h=13/6m

h=13/6*1.75

h=3.79mm


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c)

=360/72 =5

z= 3*5=15

d=m*zd= 15*4

d=60 mm

35.2


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SOLUCION


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SOLUCION

a)

a = (d1/2) + (d2/2)

a = (72/2) + (112/2)

a = 92 mm

b)

a = (m.z1)/2 + (m.z2)/2

a = (5*19)/2 + (5*30)/2

a = 122.5


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c)

a = (d1/2) + d2 + (d3/2)

d2 = m . z2 = 2.5*36 = 90

a = (46/2) + 90 + (20/2) = 123

35.3


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35.4


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SOLUCION


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1)

d=m*z ha= m = 4 mm

d= 4*28

d= 112mm

h=13/6m

h=13/6*4

h=8.67mm

2)

z= 24


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z= 24

d =m*z

d= 5*24

d= 120 mm

da= d + 2mda=120+2*5

da=130 mm

df=120-(14/6)*5

df=108.33mm

3)


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3)

z= 16

ha=m

ha=1.75mm

hf=7/6 m

hf=(7*1.75)/6 mm

hf=2.04mm


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4)

da= d+2m d= z*m

da= z*m + 2m d=2.5*32 mm

da= m(z+2) d=80mm

m= da/(z+2) df=d-(14/6)*m

m=85/(32+2) df=80-(14/6)*2.5

m=2.5mm df=74.17mm


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5)

d1=m*z1 a=(d1/2)+(d2/2)z1=d1/m a=(75mm/2) +(159mm/2)z1=75mm/3mm a=117mm

z1=25

d2=m*z2z2=d2/m

z2=159mm/3mm

z2=53

6)*


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d1=m*z1

d1=2.5*31

d1=77.5mm

d2=m*z2

d2=2.5*59

d2=147.5mm

a=(d1/2)+(d2/2)

a=(77.5mm/2) +(147.5mm/2)

a=112.5mm

7)


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d1=m*z1

d1=4*31

d1=124 mm

d2=m*z2

z2=d2/m

z2=192mm/4mmz2=48

a=(d1/2)+(d2/2)

2a= d1+d2

d2= 2a-d1d2= 2*156mm-124mmd2=192mm

)


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8)

d1=m*z1

d1=2.5*31d1=77.5 mm

d2=m*z2

d2=2.5mm*92

d2=230mm

a=(d2/2)-(d1/2)a= (230mm/2)-(77.5mm/2)

a=75.25mm

35.5


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SOLUCION


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1)

a = m . z1 m . z2

2 2

a = 5mm . 5 + 5mm . 15

2 2

a = 50 mm

2)

1 2


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a = m. z1 + m . z2

2 2

a = 8mm . 16 + 8mm . 122 2

a = 112 mm

n 1 = z2

n 2 z1

n2 = n1 . z1

z2n2 = 700 . 16 n2 = 933 (1/min)

min . 12


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3)

1 = M2

M1

M2 = 1. M1

M2 = 2. 10 Nm

M2 = 20 Nm

4)


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a = d1 + d2

2 2

a = m . z1 + m . z22 2

a = 4 mm . 17 + 4 mm . 49

2 2

a = 132

i = z2

z1

i = 49

17

i = 2.88


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SOLUCION


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5)

6)


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6)

7)


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8)


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36.1


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SOLUCION


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A)

i=(z2*z4/z1*z3)

i= 24*28/12*12

i= 3

B)

i=(z2*z4/z1*z3)

i= 45*45/15*15

i= 9

I =n1/n4


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I n1/n4

9=720/n4

n4= 720/9

n4=80

C)i=(z2*z4/z1*z3)

Z1=(z2*z4/i*z3)

Z1= 36*36/9*12

Z1= 12

36.2


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36.3


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SOLUCION


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9)

N/n min= 21*28/7*7N min = n/12

N min= 3000/12

N min=250N/n max= 21*15/7*15

N max = n/3

N max= 3000/3

N max= 1000

10)


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)

1400/n = 120*25/80*15

N = 1400* 80*15 /120*25

N = 560

11)

1000/n min = 35*15/15*15

N min= 1000*15/35

N min= 429

1000/n max = 35*30/15*30


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N max= 1000*30/35

N max= 857

12)

700/n = 34*39/17*13N = 700/6

N= 117

I=700/117

I=6


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SOLUCION


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13)

1400/n min = 31*50/19*13N min= 1400*19*13 /31*50

N min= 223

1400 =n max

N max = 1400

14)

N min = 1400*60*15/18*30

N = 223


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15)

N/350 = 34*30/17*15

N=350*34*30/17*15

N=1400

16)


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16)

1400/n min= 120*31/80*15

N min= 1400*80*15/120*31

N min=452

1400/n max= 80*31/120*15

N max= 1400*120*15/80*31

N max= 1016

Ejercicio 37.1


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37.1

1.


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s = m * z *

s = 4 mm * 12 * 3,14

s = 150,72 mm

z = 12

m = 4 mm

37.1

2.


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s = m * z *

s = 5 mm * 15 * 3,14

s = 235,5 mm

z = 15

m = 5 mm = ?

37.1

a.


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z = 12 m = 6 mm

S = 226,08mm

s = m * z * s = 6 mm * 12 * 3,14

37.1

b. s = 2 *40 *


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S = ?

= 60

= ?

s = 251.2

37.1

c.


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z = 21 m = 4 mm

s = 263,76mm

s = m * z * s = 4 mm * 21 * 3,14


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37.2

1.


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i = 40

Z2 = 40 i = ?

Z1 =1

37.2

2.


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37.2

a.


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i = ? Z2 = 40

Z1 = 2

37.2

b.


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i = ?

37.2

c.


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i = ?

EJERCICIO 37.1

CAPTULO 37


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Datos Solucin

Datos Solucin

EJERCICIO 37.2


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Datos Solucin

EJERCICIO 37.3


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Datos Solucin

EJERCICIO 37.4


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Datos Solucin

EJERCICIO 37.5


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Datos

Datos Solucin

EJERCICIO 37.6


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Datos Solucin

EJERCICIO 37.8


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Datos Solucin

EJERCICIO 37.9


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Datos Solucin

EJERCICIO 37.10


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Datos Solucin

EJERCICIO 37.11


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Datos Solucin

EJERCICIO 37.12


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Datos Solucin

EJERCICIO 37.13


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Datos Solucin

EJERCICIO 37.14


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Datos Solucin

EJERCICIO 37.15


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Datos Solucin

EJERCICIO 37.16


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38.1


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1


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2


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a)


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b)


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c)


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38.2


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1


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2


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a)


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b)


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c)


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138.3


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238.3


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338.3


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438.3


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538.3


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638.3


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738.3


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838.3


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39.1


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P = F

A


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P = F / A

F = P* A

F = (30 daN/cm2)*(12.56 cm2)

F = 377 daN

Solucin:

a)


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Solucin:

P = 1000 daN = 20 bar

50 cm2

b)


195/314

Solucin:

P = 1000 daN = 10 bar

100 cm2

c)


196/314

Solucin:

P = 62.8 daN

P = 20 bar** (2cm / 2)^2

39.2


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F1

* A2 F

2* A

1

F2

A1


198/314

Solucin:

F1 = F2 F1 = 8000N * 3.14 cm2

A1 A2 28.26 cm2

F1 = P2 * A1

A2 F1 = 250 N


199/314

Solucin:

F1 = F2

A1 A2

F1 = P2 * A1

A2

F1 = 1000N * 4 cm2

16cm2

F1 = 250 N


200/314

Solucin:

F1 = F2

A1 A2

F1 = P2 * A1

A2

A2 = 200N * 4 cm2

50N

A2 = 16 cm2


201/314

F1 = 50N * 400 cm2

100cm2

F1 = 200 N

Solucin:

39.3


202/314

Solucin:

F1 = 8 daN * 12.6 cm2

cm2

F1 = 1008 N

F = P * A


203/314

Solucin:

P= 500 daN * 100mm2

628 mm2 * 1cm2

P = 79.62 bar


204/314

Solucin:

F = P * A

F = 12 bar * * (2cm)^2

F = 150.78 daN


205/314

Solucin:

F1 = F2

A1 A2F1 = P2 * A1

A2

F2 = 120N * (36 cm)^2 *

(12cm)^2 *

F2 = 1080 N


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Solucin: A = 200 daN *cm263.7 bar

A = 3.14 cm2

A = r^2

r=1cm

d = 20 mm


207/314

Solucin:

F1 = 120daN * 28.26cm2

cm2

F1 = 33.9 KN


208/314

Solucin:

P = F/ A25 bar = F/A

25 daN/cm2 = F/ (*2.83cm)^2

F = 157.25 daN


209/314

Solucin:

(r1)^2 = 80N * (20 mm)^2 *

320 N * 2r1 = 20 mm

r1 =10mm

d1 = 20 mm

P = F

A

P = 320 N

(2 cm)^2 *

P = 25.47 bar

PROBLEMA 39.4 9


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P = F

A

F = P.A

F =4,5 daN.254 cm2

cm2

F = 1143 daN

m = 1143 Kg

PROBLEMA 39.410

A = (D2 - d2 ). 3,14

4


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A = (62 cm2

22 cm2 ). 3,14

4

A = 25,13 cm2

P = FA

F = F

(D2 - d2 ). 0,785

F = P. (D2 - d2 ). 0,785

F = 25 daN. (62 - 22 ). 0,785 cm2

cm2F = 628 daN

PROBLEMA 39.411

F = F


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F2

= F1

A2 A1

F2 = F1 . A2

A1

F2 =25N. 3,62 . 0,785cm2

1,22 . 0,785cm2

F2 = 225 N

PROBLEMA 39.412

P = F


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P F

A

F = P.A

F =4,5 daN. 62 . 0,785 cm2

cm2

F = 1272 daN

F = 12,72 KN

PROBLEMA 39.413


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P = F

A

P = 100 daN

22 . 0,785 cm2

P = 31,8 daN

cm2

F = 31,8 bar

PROBLEMA 39.414

F = F


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F2

F1

A2 A1

F2 = F1 . A2

A1

F2 = 70N. 12,56cm2

3,14cm2

F2 = 280 N

PROBLEMA 39.415


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P = F

A

F = P.A

F =24 daN. (2,832 - 22 )0,785 cm2

cm2

F = 7,55 daN

F = 75,5 N

PROBLEMA 39.416


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P = F

A

F = P.A

F =50 daN. 10,2 cm2

cm2

F = 816 daNm = 816 kg

PROBLEMAS40.1


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PROBLEMAS 40.2


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PROBLEMAS 40.3


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1 2


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3 4

A

F

2200

8000N


222/314

2200mm

PROBLEMAS 40.3


223/314

5 6

*2


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A

F

7

A

F

8


225/314

PROBLEMAS 40.4


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9.- = F / A

= 800 N


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( 45 15 ) mm * 15 mm = 17.8 N/ mm2

10.-A = 100 mm2 * 3.14 * 0.25

A = 78.5 mm2

Rm = Fm / A

Fm = Rm * A

Fm = 370 N/ mm2 * 78.5 mm2

Fm = 29045 N

11.-


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= F / AF = * A

F = 85 N/ mm2 * ( 120 - 13 )mm *

15mmF = 136.4 KN

12.-m = 600 Kg

G = 6000 N

1 = G / A


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1 = 6000 N * 4144 mm2 * 3.14

1 = 53 N / mm2

2 F22 = G2

F2 = ( G2 / 2 )1/2

F2 = G / 21/2

F2 = 4243 N

2 = F2 / A

2 = 4243 N * 4144 mm2 * 3.14

2 = 37.5 N / mm2

PROBLEMAS 40.4


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13.-800 Kg = 8000 N

= G / A


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= 8000 N * 4225 mm2 * 3.14

= 45 N / mm2

14.- = F / AF = * A

A = 5mm (40mm 10mm)

A = 150 mm2

F = 100 N / mm2 * 150 mm2F = 15000 N

15.-

4t = 40000 N


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G = 40000 N

F = u * G

F = 0.3 * 40000 N

F = 12000 N

= F / A

= 12000 N * 4

256 mm2 * 3.14

= 60 N/ mm2

16.-


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= F / A

= 800 N * 4

2 * 64 mm2 * 3.14

= 8 N/ mm2

PROBLEMAS 41.1


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PROBLEMAS 41.2


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PROBLEMAS 41.3


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PROBLEMAS 41.3


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PROBLEMAS 41.4


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PROBLEMAS 41.4


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42.1


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42.1


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2

2

23.90

133

12000

mmN

mm

NA

F

42.1


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2

2

5,63

10000

5,157

mmA

AN

mm

N

42.1

2

)11.( 2

A


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2

2

2

2

84

130

16000

130

mm

N

mm

N

mmA

42.2


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42.2

2

)15.( 2

A


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2

2

22

85

353

30000

353

mm

N

mm

N

mmA

42.2


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2

2

)11.(

130

2

A

A


250/314

2

2

105

130

20000130

mm

N

mm

N

mmA

42.2

2

2

)13.(.4A


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2

2

2

8,18

8,106120000

8,1061

2

mm

N

mm

N

mmA

42.3

2

4

)10.( 2

A


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2

2

2

153

5,78

12000

5,78

mm

N

mm

N

mmA

42.3

mmA

A

113 24

)12.( 2


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KNF

NF

mmmm

NF

AF

A

F

04,99040

113.80

.2

2

42.3

mmA

A

157

.2

2

4

)10.( 2


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KNF

NF

mmmm

NF

AF

A

F

85,7

7850

157.50

.

2

2

42.3

410

50

1

10

4

d

mm

mmd


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2

.2.4

4.16000

116

2,4

45010

2

mm

N

A

F

mmd

mmmmd

N

42.3

50

.

N

r

MF

rFM


256/314

2

22

127.5

4.2500

2500

02,0

50

mm

N

mm

N

A

F

NF

m

NmF

42.3

2 .42

4

..2

2

mm

A

dA


257/314

3125

8

500.508

500.1

500.18.

F

NF

mm

mmFF

mmFmmF

2

2

2

124

12,25

3125

12,25

4.2

mm

N

mm

N

A

F

mmA

A

42.3

dA

4

..2

2


258/314

2

2

226

100

.22600

mmA

N

mmNA

FA

A

F

mmd

mmd

Ad

Ad

12

.2

226.4

.2

.4

.2

.44

2

2

F

A

F

Ad

dA

4

4

..2

2

2


259/314

2

2

226

100

.22600

mmA

N

mmNA

FA

mmd

mmd

Ad

Ad

12

.2

226.4

.2

.4

.2.4

2

2

42.3

mm

mmFF

mmFmmF

20

100.12

100.120.2


260/314

NF

NF

FF

25002

500.52

1.5220

2

22

2

25

.8,2

4.2500

..2

.

mm

N

mm

N

d

dF

42.4

22

4.8000N

A

F


261/314

2

22

1326

.19

mm

N

mm

228

15.19

8000

mm

NP

mmmm

NP

A

FP

42.4

AF

A

F


262/314

NF

mmmm

NF

AF

13267

4

1..13.100

.

22

2

2128

13.6

13267

mm

NP

mmmm

NP

A

FP

42.4

P-3

= P/A

= 15000N x 4

2 172mm2( )


263/314

2x172mm2()

= 33N/mm2

P = F/A

P = . 15000N .

17mmx12mm

P = 74 N/mm2

P-4

= P/A

40 N/mm2= 18000N

A


264/314

A

A = 450mm2

2(450mm2)

A = 2(d2)()

4

d =

d = 17 mm

P-5

= P/A


265/314

P/A

= 54000N x 4

2x3x132mm2()

= 80N/mm2

P-6

= P/A

= Fx4


266/314

Fx4

2d2()

F = 80N(132mm2)()

mm2(2)

F = 21226N = 21,226KN

P-7

= P/A

= Fx4


267/314

Fx4

2(4)d2()

= 60000N(4)

2(4)132mm2()

F = 56,5N /mm2

P-8

= P/A

F = d2()

F = 100N/mm2(152mm2)()


268/314

F = 100N/mm (15 mm )()

F = 70650N = 70,65KN

P = F/A

P = 70650N

4(15mm)(6mm)

P = 196 N/mm2

43.1


269/314

= Fm /A

Fm =

Fm = 100N/mm2(4mm2)

Fm = 400N

(A)

= Fm /A

Fm =

Fm = 200N/mm2(30x5mm2)

Fm = 30KN

(A)

= Fm /A

Fm =

Fm = 160N/mm2(20xx2)mm2

Fm = 20,1KN

(A)

43.2

P-1

= Fm/A

Fm=

(A)


270/314

( )

Fm = 320N/mm2(20mm)()(3mm)

Fm = 60288N = 60,288KN

P-2

= Fm /A

A = 45000N.mm2


271/314

240N

A = 187,5 mm2

A = 30mm()(X)

X = 187,5mm2

30mm()

X = 2mm

P-3

(A)

= Fm /A

Fm =


272/314

( )

Fm = 200N/mm2(502mm2)()1/4

Fm = 392500N = 392,5KN

P-4

= Fm /A

Fm = (A)


273/314

Fm = 160N/mm2(21mm)()(2,5mm)

Fm = 26376N = 392,5KN

( )

P-5

= Fm /A

Fm = (A)


274/314

Fm = 180N/mm2(2x100+ 2x80)mm(4mm)

Fm = 259200N= 259,2KN

( )

P-6

A = (2x50+ 2x30)mm(4mm)

A = 640mm2


275/314

= Fm /A

Fm =

Fm = 200N/mm2(640mm2)

Fm = 128000N = 128KN

(A)

A = 640mm2

P-7

X2= 242+402

X =

X = 46 6mm

242+402


276/314

X 46,6mm

A = (24+40+46,6)mm(3mm)

A = 332mm2

= Fm /A

Fm =

Fm = 160N/mm2(332mm2)

Fm = 53088N = 53KN

(A)

P-8 A1= 10,5mm()(2mm)

A1= 66mm2

A2= 21mm()(2mm)

A2= 132 mm2

/


277/314

= Fm 1/A

Fm 1= 180N/mm2(66mm2)

Fm1 = 11,9KN

Fm 1= (A)

= Fm2 /A

Fm2 =

Fm2 = 180N/mm2(132mm2)

Fm 2=23,8KN

(A)

Ejercicio Pg. 27.1


278/314

N6258.2

)5.3(5001F

)5.3(2F)8.2(1F

NF

F

66.6662

)3(2)2(1000

NF

F

5001

)250(100)50(1

b.a. c.

Ejercicio N 1- 2 Pg. 27.2


279/314

N9090.90220

50*4001F

50*400220*1F

2d*2F1d*1F

5.2621200

420*7501F

420*7501200*1F

2d*G1d*1F

2.1.

Ejercicio N 3 - 4 Pg. 27.2


280/314

KN25.6400

500*51F

500*5400*2F

1d*1F2d*2F

N6667.1066300

80*40001F

80*G300*1F

N4000GN10Kg1

4.3.

Ejercicio N 5- 6 Pg. 27.2


281/314

KN12200

300*81F

300*8200*1F

2d*2F1d*1F

KN9240

180*121F

180*12240*1F

2d*2F1d*1F

6.5.



282/314

daN33.83120

400*251F

400*25120*2F

1d*1F2d*2F

KN03.398.197

300*22F

300*298.197*2F

1d*1F2d*2F

98.1972d

45cos*2802d

280/2d45cos

8.7.



283/314

N600F

2000*3.0F

G*F

N320F

4000*08.0F

G*FN4000G

Kg400m

200200m

2m1mm

2.1.



284/314

04545.0

2200/100

G*FN2200GKg220m

7010050m

3m2m1mm

KN144.0F

8.1*08.0F

G*F

4.3.



285/314

4.0*2

200Fn

2

GFn

Fn*2*G

KN75.3F15*25.0F

Fn*F

6.5.

Ejercicio N 7 Pg. 28.2


286/314

N160Fn

)1600(80)8000(Fn

KN40F

N160*25.0FFn*F

Nm3M

075.0*N40M

*FM

c.a. b.

Ejercicio N 8 Pg. 28.2


287/314

Nm6M

03.0*N200M

*FM

KN2.0F

KN5*04.0F

Fn*F

29.2 - 1

W=G.s


288/314

W G.sW=9000N.2m

W=18000Nm

W=18000J

29.2 - 2

W=G.s


289/314

G sW=45N.3m

W=135Nm

W=135J

29.2 - 3

W=G.s


290/314

W=3000N.3m

W=9000Nm

W=9000J

29.2 - 4

W=G.s


291/314

W=2000N.2m

W=4000Nm

W=4000J

29.2 - 5

W=G.s

G=h/s


292/314

G=h/s

G=200000Nm/6m

G=25000N10N=1kg

M=2500kg=2,5T

29.2 - 6

m=m1+m2

m=25kg+70kg


293/314

m 25kg 70kg

m=95kg

W=G.s

W=950N.2000m

W=1900000Nm=

1900000J=1900kJ

29.2 - 7


294/314

m=V.f

V=2dm.4dm.10dm

V=80dm3

m=80x7,8

m=624kg

W=G.s

W=6240N.6m

W=37440Nm

W=37440J=37,44kJ

29.2 - 8


295/314

m=V.f

V=1x3,14 x 40dm

4

V=31,4dm3m=31,44x7,8

m=245kg=0,245T

W=G.s

s=W/G

s=4900Nm/2450N

s=2m

29.3 - 9

W=G s


296/314

W G.s

s=W/G

s=5000000Nm500000N

s=10m

29.3 - 10


297/314

W=G.s

W=1000000KN.20m

W=20 Mio KJ

29.3 - 11


298/314

W=F.sW=2KN.1,2m

W=2.4 KJ

F.400mm=G.r

F= GR

29.3 - 12


299/314

400mm

F=120N.200mm

400mmF=60

W=G.s

W=120N.6m

W=720Nm=720J

W=G s

29.3 - 13


300/314

W=G.s

W=80N.12m

W=960NmW=960J

W=F.s

F= .G

29.3 - 14


301/314

F=0.3.1000N

F=300N

W=300N.8m

W=24000Nm=2400=2,

4kJ

29.3 - 15


302/314

W=G.s

W=1000N.1.8m

W=18000Nm

W=18000J=18J

29.3 - 16


303/314

W=F.s

W=1500N.10000

mW=15000 KJ

PF

PFrFax...2.

30.1 - a


304/314

NF

mm

mmNF

r

PFF

ax

16

250..25.500

..2

.

PFrF ax ...2.

30.1 - b


305/314

NF

mmmmNF

r

PFF

ax

20

100..24.3140

..2

.

rFF

rFPFax

..2.

..2..

30.1 - c


306/314

NF

mm

mmNF

PF

ax

ax

ax

471004

250.2.120

rFPFax

..2..

30.1 - 1


307/314

NF

mm

mmNF

P

rFF

ax

ax

ax

40192

5

200.2.160

..2.

PF

PFrF ax ...2.

30.1 - 2


308/314

NF

mm

mmNF

r

PFF

ax

4

240..25,1.4000

..2

.

30.2 - 3

Fax*P=F*2Pi*r

P=F*2Pi*r


309/314

Fax

P=100N.2Pi.300mm37680N

P=5mm

30.2 - 4

Fax*P=F*2Pi*r

F=Fax*P


310/314

2Pi*r

F= 5000N*3mm2*3,14*320mm

F=7,46N

30.2 - 5


311/314

Fax*240mm=9000N*360mm

Fax=9000N*360mm

240mm

Fax=13500N

Fax*P=F*2Pi*r

F=Fax*P

2Pi*r

F= 13500N*6mm2*3,14*230mm

F=56N

30.2 - 6

Fax*P=F*2Pi*r


312/314

Fax=80N*2Pi*140mm

1,25mm

Fax=56269N

30.2 - 7

Fax*P=F*2Pi*r


313/314

Fax=120N*2Pi*27mm

5mm

Fax=40694N

30.2 - 8

2*Fax*P=F*2Pi*r

Fax=F*2Pi*r


314/314

2*P

Fax=80N.2Pi.400mm2 2

manual gtz

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