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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)
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Solucin:
P = 1000 daN = 10 bar
100 cm2
c)
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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
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Solucin:
F1 = F2 F1 = 8000N * 3.14 cm2
A1 A2 28.26 cm2
F1 = P2 * A1
A2 F1 = 250 N
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Solucin:
F1 = F2
A1 A2
F1 = P2 * A1
A2
F1 = 1000N * 4 cm2
16cm2
F1 = 250 N
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Solucin:
F1 = F2
A1 A2
F1 = P2 * A1
A2
A2 = 200N * 4 cm2
50N
A2 = 16 cm2
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F1 = 50N * 400 cm2
100cm2
F1 = 200 N
Solucin:
39.3
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Solucin:
F1 = 8 daN * 12.6 cm2
cm2
F1 = 1008 N
F = P * A
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Solucin:
P= 500 daN * 100mm2
628 mm2 * 1cm2
P = 79.62 bar
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Solucin:
F = P * A
F = 12 bar * * (2cm)^2
F = 150.78 daN
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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
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Solucin:
F1 = 120daN * 28.26cm2
cm2
F1 = 33.9 KN
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Solucin:
P = F/ A25 bar = F/A
25 daN/cm2 = F/ (*2.83cm)^2
F = 157.25 daN
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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
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2200mm
PROBLEMAS 40.3
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5 6
*2
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A
F
7
A
F
8
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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
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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
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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
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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
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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
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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
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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
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2
22
1326
.19
mm
N
mm
228
15.19
8000
mm
NP
mmmm
NP
A
FP
42.4
AF
A
F
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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( )
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2x172mm2()
= 33N/mm2
P = F/A
P = . 15000N .
17mmx12mm
P = 74 N/mm2
P-4
= P/A
40 N/mm2= 18000N
A
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A
A = 450mm2
2(450mm2)
A = 2(d2)()
4
d =
d = 17 mm
P-5
= P/A
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P/A
= 54000N x 4
2x3x132mm2()
= 80N/mm2
P-6
= P/A
= Fx4
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Fx4
2d2()
F = 80N(132mm2)()
mm2(2)
F = 21226N = 21,226KN
P-7
= P/A
= Fx4
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Fx4
2(4)d2()
= 60000N(4)
2(4)132mm2()
F = 56,5N /mm2
P-8
= P/A
F = d2()
F = 100N/mm2(152mm2)()
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F = 100N/mm (15 mm )()
F = 70650N = 70,65KN
P = F/A
P = 70650N
4(15mm)(6mm)
P = 196 N/mm2
43.1
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= 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)
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( )
Fm = 320N/mm2(20mm)()(3mm)
Fm = 60288N = 60,288KN
P-2
= Fm /A
A = 45000N.mm2
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240N
A = 187,5 mm2
A = 30mm()(X)
X = 187,5mm2
30mm()
X = 2mm
P-3
(A)
= Fm /A
Fm =
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( )
Fm = 200N/mm2(502mm2)()1/4
Fm = 392500N = 392,5KN
P-4
= Fm /A
Fm = (A)
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Fm = 160N/mm2(21mm)()(2,5mm)
Fm = 26376N = 392,5KN
( )
P-5
= Fm /A
Fm = (A)
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Fm = 180N/mm2(2x100+ 2x80)mm(4mm)
Fm = 259200N= 259,2KN
( )
P-6
A = (2x50+ 2x30)mm(4mm)
A = 640mm2
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= Fm /A
Fm =
Fm = 200N/mm2(640mm2)
Fm = 128000N = 128KN
(A)
A = 640mm2
P-7
X2= 242+402
X =
X = 46 6mm
242+402
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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
/
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= 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
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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
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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
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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
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KN12200
300*81F
300*8200*1F
2d*2F1d*1F
KN9240
180*121F
180*12240*1F
2d*2F1d*1F
6.5.
Ejercicio N 7 - 8 Pg. 27.2
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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.
Ejercicio N 1 - 2 Pg. 28.2
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N600F
2000*3.0F
G*F
N320F
4000*08.0F
G*FN4000G
Kg400m
200200m
2m1mm
2.1.
Ejercicio N 3 - 4 Pg. 28.2
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04545.0
2200/100
G*FN2200GKg220m
7010050m
3m2m1mm
KN144.0F
8.1*08.0F
G*F
4.3.
Ejercicio N 5 - 6 Pg. 28.2
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4.0*2
200Fn
2
GFn
Fn*2*G
KN75.3F15*25.0F
Fn*F
6.5.
Ejercicio N 7 Pg. 28.2
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N160Fn
)1600(80)8000(Fn
KN40F
N160*25.0FFn*F
Nm3M
075.0*N40M
*FM
c.a. b.
Ejercicio N 8 Pg. 28.2
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Nm6M
03.0*N200M
*FM
KN2.0F
KN5*04.0F
Fn*F
29.2 - 1
W=G.s
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W G.sW=9000N.2m
W=18000Nm
W=18000J
29.2 - 2
W=G.s
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G sW=45N.3m
W=135Nm
W=135J
29.2 - 3
W=G.s
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W=3000N.3m
W=9000Nm
W=9000J
29.2 - 4
W=G.s
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W=2000N.2m
W=4000Nm
W=4000J
29.2 - 5
W=G.s
G=h/s
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G=h/s
G=200000Nm/6m
G=25000N10N=1kg
M=2500kg=2,5T
29.2 - 6
m=m1+m2
m=25kg+70kg
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m 25kg 70kg
m=95kg
W=G.s
W=950N.2000m
W=1900000Nm=
1900000J=1900kJ
29.2 - 7
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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
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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
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W G.s
s=W/G
s=5000000Nm500000N
s=10m
29.3 - 10
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W=G.s
W=1000000KN.20m
W=20 Mio KJ
29.3 - 11
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W=F.sW=2KN.1,2m
W=2.4 KJ
F.400mm=G.r
F= GR
29.3 - 12
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400mm
F=120N.200mm
400mmF=60
W=G.s
W=120N.6m
W=720Nm=720J
W=G s
29.3 - 13
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W=G.s
W=80N.12m
W=960NmW=960J
W=F.s
F= .G
29.3 - 14
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F=0.3.1000N
F=300N
W=300N.8m
W=24000Nm=2400=2,
4kJ
29.3 - 15
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W=G.s
W=1000N.1.8m
W=18000Nm
W=18000J=18J
29.3 - 16
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W=F.s
W=1500N.10000
mW=15000 KJ
PF
PFrFax...2.
30.1 - a
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NF
mm
mmNF
r
PFF
ax
16
250..25.500
..2
.
PFrF ax ...2.
30.1 - b
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NF
mmmmNF
r
PFF
ax
20
100..24.3140
..2
.
rFF
rFPFax
..2.
..2..
30.1 - c
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NF
mm
mmNF
PF
ax
ax
ax
471004
250.2.120
rFPFax
..2..
30.1 - 1
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NF
mm
mmNF
P
rFF
ax
ax
ax
40192
5
200.2.160
..2.
PF
PFrF ax ...2.
30.1 - 2
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NF
mm
mmNF
r
PFF
ax
4
240..25,1.4000
..2
.
30.2 - 3
Fax*P=F*2Pi*r
P=F*2Pi*r
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Fax
P=100N.2Pi.300mm37680N
P=5mm
30.2 - 4
Fax*P=F*2Pi*r
F=Fax*P
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2Pi*r
F= 5000N*3mm2*3,14*320mm
F=7,46N
30.2 - 5
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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
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Fax=80N*2Pi*140mm
1,25mm
Fax=56269N
30.2 - 7
Fax*P=F*2Pi*r
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Fax=120N*2Pi*27mm
5mm
Fax=40694N
30.2 - 8
2*Fax*P=F*2Pi*r
Fax=F*2Pi*r
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2*P
Fax=80N.2Pi.400mm2 2