Cetvrti zadatak

δs δu Y1 Y1r Y1s Y1u Fc V Ps X11 6 14 142271.421 88959.342 115615.382 26656.039 160657.946 137 1.407 2.9572 7 13 140105.691 86647.958 113376.824 26728.866 154090.462 134 1.309 3.13 8 12 137855.884 84270.342 111063.113 26792.771 147580.022 131 1.226 3.243

1.226 1.309 1.4072000030000400005000060000700008000090000

100000110000120000130000140000

Y1sY1Y1rY1u

Axis Title

δs= 13 mm11 mm

pritisak tocka na spoljnu sinu Q= 50

0.23

rastojanje izmedju osovina L12=L23=

T= (L12+L23)/2= 2.2 m

x1= 2.88 mGh=Q*6*h/s1= 60 KN

osovineformula jed.mere 1 2 3X1-L1i m 2.8795454545 0.6795454545 1.5204545455

8.2917820248 0.4617820248 2.3117820248di=((X1-L1i)²+(s1/2)^2)^0.5m 2.976 1.012 1.695

0.968 0.671 0.897

0.252 0.741 0.442

N 11128.717 7721.587 10313.512

Nm 4347.841 12783.230 7631.074

Y1-2H1-2H2+2H3-Fc+Gh=0 (1)

54139.979368

(1) Fc=Y1-2H1-2H2+2H3+Gh= 97066.395523

G=Q*6= 600 KN

V=(g*R*Fc/G)^0.5

δu=

koeficijent trenja tocka po sini f=

T+R*ds/(L12+L23)=

(X1-L1i)² m²

cosgi=(X1-L1i)/di

sin gi =s1/2di

Hi=Q*f*cosgi

s1*Wi=s1*Q*f*singi

Y1*a1-2*H1*a1-2*H2*a2-2*H3*a3-S Wi*s1=0 (2)

(2) Y1=1/a1(2*H1*a1+2*H2*a2+2*H3*a3+S Wi*s1)=

Fc=m*V²/R=G/g*V²/R

V=(g*R*Fc/G)^0.5

V= 19.105 m/s= 68.780 km/h

neponisteno bocno ubrzanje

0.606

sila kolskog rama Y1P=Y1-2H1=sila na unutarasnjoj nsini Y1u=H1=

sila na spoljasnoj sini Y1s=Y1-H1=

7 mm

13 mm


0.25


T= (L12+L23)/2= 2.1 m

x1= 3.1 mGh=Q*6*h/s1= 66 KN

osovineformula jed.mere 1 2 3X1-L1i m 3.1 1 1.1

9.610 1.000 1.210di=((X1-L1i)²+(s1/2)^2)^0.5m 3.189 1.250 1.331

0.972 0.800 0.826

0.235 0.600 0.563

N 26728.866 22000.000 22721.252

Nm 9699.992 24750.000 23237.644


ps=V²/12.96R-g*h/s1= m/sec²

ds=

du=


T+R*ds/(L12+L23)=

(X1-L1i)² m²

cosgi=(X1-L1i)/di

sin gi =s1/2di

Hi=Q*f*cosgi

s1*Wi=s1*Q*f*singi

Y1-2H1-2H2+2H3-Fc+Gh=0 (1)

140105.69058

(1) Fc=Y1-2H1-2H2+2H3+Gh= 154090.46186

G=Q*6= 660 KN

V=(g*R*Fc/G)^0.5

V= 37.070 m/s= 133.453 km/h


1.309



8 mm

12 mm


0.25


Y1*a1-2*H1*a1-2*H2*a2-2*H3*a3-S Wi*s1=0 (2)

(2) Y1=1/a1(2*H1*a1+2*H2*a2+2*H3*a3+S Wi*s1=



ds=

du=


T= (L12+L23)/2= 2.1 m

x1= 3.2428571429 mGh=Q*6*h/s1= 66 KN

osovineformula jed.mere 1 2 3X1-L1i m 3.2428571429 1.1428571429 0.9571428571

10.516 1.306 0.916m 3.328 1.367 1.216

0.974 0.836 0.787

0.225 0.549 0.617

N 26792.771 22991.318 21646.157

Nm 9294.849 22632.078 25442.312

Y1-2H1-2H2+2H3-Fc+Gh=0 (1)

137855.88391

(1) Fc=Y1-2H1-2H2+2H3+Gh= 147580.02156

G=Q*6= 660 KN

V=(g*R*Fc/G)^0.5

V= 36.279 m/s= 130.603 km/h


1.226

T+R*ds/(L12+L23)=

(X1-L1i)² m²di=((X1-L1i)²+(s1/2)²)^0.5

cosgi=(X1-L1i)/di

sin gi =s1/2di

Hi=Q*f*cosgi

s1*Wi=s1*Q*f*singi

Y1*a1-2*H1*a1-2*H2*a2-2*H3*a3-S Wi*s1=0 (2)

(2) Y1=1/a1(2*H1*a1+2*H2*a2+2*H3*a3+S Wi*s1=





124196.541 0.042126370.539 0.136128315.081 0.224

84935.4887215.13

89194.5

δs δu Y1 Y1r Y1s Y1u1 6 14 142271.4 88959.342 115615.382 26656.0392 7 13 140105.7 86647.958 113376.824 26728.8663 8 12 137855.9 84270.342 111063.113 26792.771

1.226 1.309 1.4072000030000400005000060000700008000090000

100000110000120000130000140000

Y1sY1Y1rY1u

Axis Title

KN R= 230 m

2.2 m2.2 m

a1= 2.2 m

a2= 0 ma3= 2.2 m 60

191197.8

60571.71

N USMERAVAJUCA SILA

N CENTRIFUGALNA SILA

V=(g*R*Fc/G)^0.5Y1 Y1r Y1s

V=(g*R*Fc/G)^0.5V=(g*R*Fc/G)^0.5 1 6 14 142271.4 88959.34 115615.4

Vusv= 137 km/h

31882.545126 N11128.717 N43011.262 N

KN R= 600 m

2.1 m2.1 m

a1= 2.1 m

a2= 0 ma3= 2.1 m

140105.7

154090.5

N USMERAVAJUCA SILA

N CENTRIFUGALNA SILA

37.07029

V=(g*R*Fc/G)^0.5

Vusv= 134 km/h

86647.958007 N26728.866 N

113376.824 N

KN R= 600 m

2.1 m2.1 m

a1= 2.1 m

a2= 0 ma3= 2.1 m

137855.9

147580

N USMERAVAJUCA SILA

N CENTRIFUGALNA SILA -1.000

-1.000

V=(g*R*Fc/G)^0.5

Vusv= 131 km/h

84270.342187 N26792.771 N

111063.113 N

0.042 97403.77 26792.77 706110.136 99641.67 26728.87 72912.810.224 101659 26656.04 75003

-0.109-0.0120.077

Y1 Y1r1.226 137855.9 84270.34

Fc V Ps X1 1.309 140105.7 86647.96160657.946 137 1.407 2.957 1.407 142271.4 88959.34154090.462 134 1.309 3.1147580.022 131 1.226 3.243

1.226 1.309 1.4072000030000400005000060000700008000090000

100000110000120000130000140000

Y1sY1Y1rY1u

Axis Title

Y1u Fc V Ps

26656.04 160657.9 137 1.407

Y1s Y1u111063.1 26792.77113376.8 26728.87115615.4 26656.04

Први пробни положај

13 mm 2.2 m 2.2 m

11 mm 2.2 m 0 m

70 km/h 2.2 m

230 m

f 0.23Q 50 kN

2.88 m центар ротације се налази између друге и треће осовине

6.98 mm >0 10.52 mm

осовинепромен. j.м. 1 2 3

m 2.88 0.68 1.52

8.29 0.46 2.31

m 2.98 1.01 1.70

/ 0.97 0.67 0.90

/ 0.25 0.74 0.44

kN 11.13 7.72 10.31

kN 2.90 8.52 5.09

kNm 4.35 12.78 7.63

54.14 kN

31.88 kN

43.01 kN

11.13 kN

97.07 kN G' 60 kN

V 68.78 km/h

0.606

δs L12 a1

δu L23 a2

VR a3

Rmin

x1

f2u,z f2s,t

X1-L1i

(X1-L1i)² m²

di

cos γi

sin γi

Hi

Wi

s1*Wi

y1

y1R

y1s

y1u

Fc

<=VR

Ps m/s2

Други пробни положај

14 mm 2.2 m 2.2 m

10 mm 2.2 m 0 m

70 km/h 2.2 m

230 m

f 0.23Q 50 kN


6.48 mm >0 10.52 mm


m 2.93 0.73 1.47

8.60 0.54 2.16

m 3.03 1.05 1.65

/ 0.97 0.70 0.89

/ 0.25 0.72 0.45

kN 11.14 8.03 10.24

kN 2.85 8.23 5.23

kNm 4.28 12.35 7.85

53.89 kN

31.60 kN

42.75 kN

11.14 kN

96.02 kN G' 60 kN

V 68.41 km/h

0.589

δs L12 a1

δu L23 a2

VR a3

Rmin

x1

f2u,z f2s,t

X1-L1i

(X1-L1i)² m²

di

cos γi

sin γi

Hi

Wi

s1*Wi

y1

y1R

y1s

y1u

Fc

<=VR

Ps m/s2

Трећи пробни положај

15 mm 2.2 m 2.2 m

9 mm 2.2 m 0 m

70 km/h 2.2 m

230 m

f 0.23Q 50 kN


5.98 mm >0 10.52 mm


m 2.98 0.78 1.42

8.90 0.61 2.00

m 3.08 1.09 1.60

/ 0.97 0.72 0.88

/ 0.24 0.69 0.47

kN 11.15 8.31 10.16

kN 2.80 7.95 5.38

kNm 4.20 11.92 8.07

53.63 kN

31.33 kN

42.48 kN

11.15 kN

95.03 kN G' 60 kN

V 68.05 km/h

0.573

δs L12 a1

δu L23 a2

VR a3

Rmin

x1

f2u,z f2s,t

X1-L1i

(X1-L1i)² m²

di

cos γi

sin γi

Hi

Wi

s1*Wi

y1

y1R

y1s

y1u

Fc

<=VR

Ps m/s2

положајј.м. трећи други први

kN 53.63 53.89 54.14

kN 31.33 31.60 31.88

kN 42.48 42.75 43.01

kN 11.15 11.14 11.13

0.573 0.589 0.606

y1

y1R

y1s

y1u

Ps m/s2

0.573 0.589 0.60610

20

30

40

50

60

y1y1Ry1sy1u

Ps (m/s2)

y (k

N)

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