Cetvrti zadatak
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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
pritisak tocka na spoljnu sinu Q= 110
0.25
rastojanje izmedju osovina L12=L23=
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
Fc=m*V²/R=G/g*V²/R
ps=V²/12.96R-g*h/s1= m/sec²
ds=
du=
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
Y1-2H1-2H2+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
neponisteno bocno ubrzanje
1.309
sila kolskog rama Y1P=Y1-2H1=sila na unutarasnjoj nsini Y1u=H1=
sila na spoljasnoj sini Y1s=Y1-H1=
8 mm
12 mm
pritisak tocka na spoljnu sinu Q= 110
0.25
rastojanje izmedju osovina L12=L23=
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
ps=V²/12.96R-g*h/s1= m/sec²
ds=
du=
koeficijent trenja tocka po sini f=
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
neponisteno bocno ubrzanje
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=
Fc=m*V²/R=G/g*V²/R
ps=V²/12.96R-g*h/s1= m/sec²
sila kolskog rama Y1P=Y1-2H1=sila na unutarasnjoj nsini Y1u=H1=
sila na spoljasnoj sini Y1s=Y1-H1=
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
2.93 m центар ротације се налази између друге и треће осовине
6.48 mm >0 10.52 mm
осовинепромен. j.м. 1 2 3
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
2.98 m центар ротације се налази између друге и треће осовине
5.98 mm >0 10.52 mm
осовинепромен. j.м. 1 2 3
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)