Proiect Pcmai 125kw 4200 Rpm Paul
39
Calculul termic al motorului cu aprindere prin c Puterea nominală 125 kW 170 CP Turaţia nominală 4200 rot/min Numărul de cilindrii i= 4 Parametrii iniţiali 385 K - temperatura iniţială 1.7 - presiunea iniţială 900 K - temperatura gazelor reziduale 1.1 - presiunea gazelor reziduale λ= 1.8 - coeficientul de exces de aer ε= 16.2 - raportul de comprimare Parametrii procesului de schimbare a gazelor Se adoptă: 2.1 - presiunea la sfârşitul admisi 20 K - preîncălzirea amestecului 1.2 - coeficient de postardere Se determină prin calcule: Coeficientul gazelor reziduale: 0.012 Temperatura la sfârşitul admisiei: 411.092 Coeficientul de umplere: 2.5 Parametrii procesului de comprimare Se adoptă: 1.39 - exponent politropic de compri Se determină prin calcule: Presiunea la sfârşitul comprimării: 100.796 Temperatura la sfârşitul comprimării: 1218.008 K Pn= nn= T0= p0= N/m 2 t0= pr= N/m 2 pa= N/m 2 ΔT= γp= N/m 2 ¿ 10 5 n 1 = γ r = T 0 + ΔT T r ⋅ p r ε ⋅ p a ⋅ ν p −p r = 293 + 18 800 ⋅ 1.2 ⋅ 10 5 17 ⋅ 0.85 ⋅ 10 5 ⋅ 1.15 −1.2 ⋅ 10 5 = T a = T 0 + ΔT + γ r ⋅ T r 1 + γ r = 293 +18 + 0.03 ⋅ 800 1 +0.03 = η V = p a ⋅ T 0 p 0 ⋅ T a ⋅ ε ε−1 ⋅ ν p 1 + γ r = 0.85 ⋅ 10 5 ⋅ 293 1.02 ⋅ 10 5 ⋅ 325 . 362 ⋅ 17 17−1 ⋅ 1.15 1+0.03 = p c =p a ⋅ ε n 1 =0.85 ⋅ 10 5 ¿ 17 1.39 = T c =T a ⋅ ε n 1 −1 =325 .362 ⋅ 17 1.39−1 = ¿ 10 5 ¿ 10 5 ¿ 10 5
description
Pcmai
Transcript of Proiect Pcmai 125kw 4200 Rpm Paul
Calculul termic al motorului cu aprindere prin comprimare
Puterea nominală 125 kW = 170 CP
Turaţia nominală 4200 rot/minNumărul de cilindrii i= 4
Parametrii iniţiali
385 K - temperatura iniţială
1.7 - presiunea iniţială900 K - temperatura gazelor reziduale
1.1 - presiunea gazelor rezidualeλ= 1.8 - coeficientul de exces de aer
ε= 16.2 - raportul de comprimare
Parametrii procesului de schimbare a gazelor
Se adoptă:
2.1 - presiunea la sfârşitul admisiei20 K - preîncălzirea amestecului
1.2 - coeficient de postardere
Se determină prin calcule:
Coeficientul gazelor reziduale:
0.012
Temperatura la sfârşitul admisiei:
411.092
Coeficientul de umplere:
2.5
Parametrii procesului de comprimare
Se adoptă: 1.39 - exponent politropic de comprimare
Se determină prin calcule:
Presiunea la sfârşitul comprimării:
100.796
Temperatura la sfârşitul comprimării:
1218.008 K
Pn=
nn=
T0=
p0= N/m2
t0=
pr= N/m2
pa= N/m2
ΔT=γp=
N/m2¿105
n1=
γ r=T 0+ΔT
T r
⋅pr
ε⋅pa⋅ν p−pr
=293+18800
⋅ 1 .2⋅105
17⋅0 .85⋅105⋅1 .15−1 .2⋅105=
T a=T0+ΔT+γr⋅T r
1+γr=293+18+0 .03⋅800
1+0 .03=
ηV=pa⋅T 0p0⋅T a
⋅ εε−1
⋅ν p
1+γ r= 0.85⋅105⋅2931 .02⋅105⋅325 .362
⋅1717−1
⋅ 1.151+0 .03
=
pc=pa⋅εn1=0 .85⋅105 ¿171 .39=
T c=T a⋅εn1−1=325 .362⋅171. 39−1=
¿105
¿105
¿105
Parametrii procesului de ardere
Se adoptă:c= 0.857 kg compoziţia motorineih= 0.133 kg compoziţia motorineio= 0.010 kg compoziţia motorinei
41868 kJ/kg0.85 - coeficient de utilizare a căldurii
1.4 - coeficient de creştere a presiunii
Aerul minim necesar arderii combustibilului este:
0.497 kmol aer/kg comb
Cantitatea reală necesară arderii combustibilului:
0.894 kmol aer/kg comb
Coeficientul teoretic de variaţie molară a încărcăturii proaspete este:
1.038
Coeficientul real de variaţie molară a încărcăturii proaspete:
1.038
Căldura specifică molară medie a amestecului iniţial:
41.193 kJ/kmolK
Căldura specifică molară medie a gazelor de ardere pt λ>1:
= 25.111 + 0.002= 25.111 + 23.167
Temperatura la sfârşitul arderii:
-24.039 -34.683 Tz + ###2199.536
2540.943 K
Presiunea la sfârşitul arderii:
14111500.667 141.115
Gradul de destindere prealabilă se calculează din:
Qi =ξ =π =
Tz2
∆=
Tz1=
N/m2 = N/m2 ¿105
¿10−4
ξQi
λ⋅Lmin(1+γ r )+(Cμν
' +Rm⋅π )⋅Tc=(Cμν' ' +RM )⋅μ f⋅T z
¿10−4
Lmin=10 ,21 ( c
12+h4−
o32 )= 1
0 ,21 ( 0 .85712+0 .1334
−0 .0132 )=
L= λ⋅Lmin=1.5⋅0 .497=
μ0=L+
h4+
c12
L=0 .745+
0 .1334
+0 .85712
0 .745=
μ f=μ0+γ r1+γ r
=1 .046+0 .031+0.03
=
Cμν' =20+17 . 4⋅10−3⋅T c=20+17 .4⋅10
−3⋅982 .294=
Cμν' ' =(20+
9.2λ
)+(13 .8
λ+15 .5 )⋅10−4⋅T z=(20+
9 .21 .5
)+(13 .81.5
+15 .5 )⋅10−4⋅T z
Cμν' '
0 .85⋅418681.5⋅0. 497(1+0 .03)
+(37 .092+8.314⋅1 .4 )⋅982.294=((26 .133+24 .7⋅10−4⋅T z )+8 .314 )⋅1 .044⋅T z
pz=pz'=π⋅pc=1 .4⋅43 .626⋅10
5=
ρ=V z
V c
=μ f
π⋅T z
T c
=1.0441. 4
⋅2254 .301982 .294
=
ρ= μπ⋅TC
T B
=
1.546ρ= μπ⋅TC
T B
=
Parametrii procesului de destindere
Se adoptă: 1.26
Gradul de destindere:
10.477
Presiunea la sfârşitul destinderii:
731229.904 7.312
Temperatura la sfârşitul destinderii:
1379.523 K
Parametrii principali ai motorului
Se adoptă: 0.96 - coeficientul de rotunjire a diagramei0.88 - randamentul mecanic
Presiunea medie a ciclului teoretic se obţine din:
19.042
Presiunea medie indicată:
18.280
Randamentul indicat al motorului:
0.297
Presiunea medie efectivă:
16.086
Randamentul efectiv:
0.262
Consumul specific efectiv de combustibil:
0.329 kg/kWh = 328.672 g/kWh
N/m2 = N/m2
N/m2
N/m2
N/m2
¿105
¿105
n2=
μr=ηm=
¿105
η i=
δ=V b
V z
= ερ=171 .712
=
pb=pz
δn2=61.076⋅10
5
9 .9301 .26=
T b=T z
δn2−1
=2254 .3019 .9301 .26−1
=
pi'=
pc
ε−1 [π ( ρ−1 )+π⋅ρn2−1 (1−1δn2−1 )−1n1−1 (1−1δ n1−1 )]=
=43 .626⋅105
17−1 [1. 4 (1.712−1 )+1 .4⋅1.7121 .26−1 (1−19 .9301.26−1 )−11.39−1 (1−19.9301.39−1 )]
pi'=
pi=μr⋅pi'=0.96⋅9 .339⋅105=
ηi=RM
pi⋅M 1⋅T 0p0⋅ην⋅Qi
=8 .314pi⋅λ⋅Lmin⋅T 0p0⋅ην⋅Qi
=8 .314 8.966⋅105⋅1.5⋅0 .497⋅293
1 .02⋅105⋅0 .9⋅41868
pe=ηm⋅pi=0 .81⋅8 .966⋅105=
ηe=ηm⋅ηi=0 .81⋅0 .404=
ge=36000ηe⋅Qi
=360000 .327⋅41868
=
¿105
Dimensiunile fundamentale ale motorului
Se adoptă: 1.2
Capacitatea cilindrică necesară:
0.555 litri
Se determină alezajul şi cursa:
0.838 dm = 83.821 mm = 0.084 m
1.006 dm = 100.585 mm = 0.101 m
Viteza medie a pistonului:
14.082 m/s
Cilindreea totală:
2.220 litri
Puterea litrică:
56.302 kW/l
Diagrama indicată
Volumul la sfârşitul admisiei:
0.592
Volumul la sfârşitul compresiei:
0.037
dm3
dm3
Φ=SD
=
px=pa⋅(V a
V x)n1
px=pz⋅(V z
V x)n2
V h=120000⋅pn
pe⋅n⋅i=120000⋅98⋅10
3
7 .262⋅105⋅2900⋅6=
D=3√ 4⋅V h
π⋅Φ=3√ 4⋅0 ,9313 .14⋅1 .2
=
S=Φ⋅D=1.2⋅0 ,996=
W m=S⋅n30
=1 ,195⋅290030
=
V t=i⋅V h=6⋅0 ,931=
Pl=Pn
V t
=985 ,584
=
V a=V h⋅εε−1
=0 ,931⋅1717−1
=
V c=V a
ε=0 ,78417
=
Se adopta:
35 °RAC 0.611 rad - unghi de avans la aprindere 40 °RAC 0.698 rad - unghi de avans la d.s.e.
1/3.5 0.286 - raportul dintre raza manivelei şi lungimea bielei
11.459 mm
120.956
14.735 mm
4.706
0.075
0.495
0.056
0.592
N/m2
N/m2
dm3
dm3
dm3
dm3
α s=α ev=
V b' =
¿105
¿105
λb=
X s=S2 [(1−cosα s )+
λ4
(1−cos2α s )]=1102 [(1−cos35 °)+1 .54 (1−cos2⋅35 ° )]=
X ev=S2 [(1−cos αev )+
λ4
(1−cos 2α ev )]=1102 [(1−cos 40 ° )+ 1.54 (1−cos2⋅40 ° )]=
pc' '=1.2⋅pc=1 .2⋅43 .626⋅10
5=
pa' =
pa+pb
2=0 .85⋅10
5+3 .386⋅105
2=
V c' =
π⋅D2⋅X s
4=3.14⋅0 ,922
2⋅18 .964⋅10−2
4=
V b' =V a−
π⋅D2⋅Xev
4=0 ,784−3 .14⋅0 ,922
2⋅16 ,200⋅10−2
4
V z=ρ⋅V c=1 .712⋅0 ,046=
V b= ρ⋅δ⋅V c=1 .712⋅9.930⋅0 .046=
Caracteristica externă
Puterea efectivă
Consumul specific
Consumul orar
Momentul motor
Constante:
Motor a b c d kM.A.C. unitară 0.87 1.13 1.55 1.55 1
cu divizată 0.6 1.4 1.35 1.35 1cameră de vârtej 0.7 1.3 1.2 1.2 1
n [rot/min] Pe [kW] ge [g/kWh] Ge [kg/h] Me [Nm]1000 32.213 81.356 13.104 461.4181200 39.687 78.143 15.506 473.7241400 47.315 75.229 17.797 484.0961600 55.017 72.613 19.975 492.5351800 62.711 70.296 22.042 499.0412000 70.318 68.276 24.005 503.6142200 77.755 66.554 25.875 506.2532400 84.942 65.131 27.662 506.9582600 91.797 64.005 29.378 505.7312800 98.241 63.178 31.033 502.5703000 104.191 62.649 32.637 497.4753200 109.567 62.418 34.195 490.4473400 114.288 62.485 35.706 481.4863600 118.273 62.850 37.167 470.5923800 121.440 63.513 38.565 457.7644000 123.710 64.475 39.881 443.0034200 125.000 65.734 41.084 426.3084400 125.230 67.292 42.135 407.680
Gcx=Pex⋅gex⋅10−3=
M ex=3⋅104⋅
Pex
π⋅nx=3⋅104⋅
Pex
3 .14⋅nx
=
Pex=Pemax [a⋅( nx
n p)+b⋅( nx
np)2
−( nx
np)3 ]=75 [0 .87⋅( nx
2800 )+1 .13⋅( nx
2800 )2
−( nx
2800 )3]
gex=gep [c−d⋅( nx
n p)+k⋅( nx
n p)2]=262.763⋅[1 .55−1 .55⋅( nx
2800 )+1⋅( nx
2800 )2 ]
K
TzTz
= 0
¿10−4
0 .85⋅418681.5⋅0. 497(1+0 .03)
+(37 .092+8.314⋅1 .4 )⋅982.294=((26 .133+24 .7⋅10−4⋅T z )+8 .314 )⋅1 .044⋅T z
pi'=
pc
ε−1 [π ( ρ−1 )+π⋅ρn2−1 (1−1δn2−1 )−1n1−1 (1−1δ n1−1 )]=
=43 .626⋅105
17−1 [1. 4 (1.712−1 )+1 .4⋅1.7121 .26−1 (1−19 .9301.26−1 )−11.39−1 (1−19.9301.39−1 )]
ηi=RM
pi⋅M 1⋅T 0p0⋅ην⋅Qi
=8 .314pi⋅λ⋅Lmin⋅T 0p0⋅ην⋅Qi
=8 .314 8.966⋅105⋅1.5⋅0 .497⋅293
1 .02⋅105⋅0 .9⋅41868
Cinematica mecanismului bielă-manivelă
α - unghiul de rotaţie al maniveleiβ - unghiul de înclinare al axei bieleiω - viteza unghiulară de rotaţie a arborelui cotitS - cursa pistonuluiR - raza maniveleiL - lungimea bieleiλ - raportul dintre raza manivelei şi lungimea bielei
439.82 rad/s
R=S/2=119,495/2= 50.29236 mm
λ=R/L= 1/3,6
= 0.277778
15°
L=R/λ=59,74/0,2777= 181.0525 mm
0.005518
Deplasarea pistonului:
Volumul cilindrului la un moment dat:
Viteza pistonului:
- unghiul de viteză maximă
Acceleraţia pistonului:
βmax=
m2
SX=R[ (L−cos α )+ 1λ
(1−cos β )]SX=R[ (1−cos α )± λ
4(1−cos2⋅α )]
V P=π⋅D2
4⋅Salignl¿ X ¿¿¿
V=Rω(sinα±λ2sin2α)
αVmax=arccos[√( 14 λ )
2
+ 12− 14 λ ]
j=Rω2( cosα±λcos2α )
ω=π⋅n30
=3.14⋅290030
=
A p=π⋅D2
4=3.14⋅0 .092
2
4=
0 0.00000 9.05526 0.49968 0.00000 0.00010 0.04825 9.05624 0.49973 4.89180 2613.67020 0.09515 9.05911 0.49989 9.54016 5064.52630 0.13934 9.06375 0.50015 13.72046 7204.76140 0.17951 9.06992 0.50049 17.24380 8914.91050 0.21443 9.07733 0.50090 19.97021 10114.04760 0.24295 9.08565 0.50136 21.81684 10765.73770 0.26408 9.09452 0.50185 22.76051 10879.14280 0.27709 9.10360 0.50235 22.83443 10505.25290 0.28148 9.11254 0.50284 22.11973 9728.767100 0.27709 9.12106 0.50331 20.73294 8656.678110 0.26408 9.12893 0.50375 18.81099 7404.959120 0.24295 9.13594 0.50413 16.49566 6084.982130 0.21443 9.14198 0.50447 13.91919 4791.289140 0.17951 9.14697 0.50474 11.19278 3592.152150 0.13934 9.15086 0.50496 8.39928 2524.006160 0.09515 9.15363 0.50511 5.59063 1590.342170 0.04825 9.15530 0.50520 2.79030 765.095180 0.00000 9.15585 0.50523 0.00000 0.000190 -0.04825 9.15530 0.50520 -2.79030 -765.095200 -0.09515 9.15363 0.50511 -5.59063 -1590.342210 -0.13934 9.15086 0.50496 -8.39928 -2524.006220 -0.17951 9.14697 0.50474 -11.19278 -3592.152230 -0.21443 9.14198 0.50447 -13.91919 -4791.289240 -0.24295 9.13594 0.50413 -16.49566 -6084.982250 -0.26408 9.12893 0.50375 -18.81099 -7404.959260 -0.27709 9.12106 0.50331 -20.73294 -8656.678270 -0.28148 9.11254 0.50284 -22.11973 -9728.767280 -0.27709 9.10360 0.50235 -22.83443 -10505.252290 -0.26408 9.09452 0.50185 -22.76051 -10879.142300 -0.24295 9.08565 0.50136 -21.81684 -10765.737310 -0.21443 9.07733 0.50090 -19.97021 -10114.047320 -0.17951 9.06992 0.50049 -17.24380 -8914.910330 -0.13934 9.06375 0.50015 -13.72046 -7204.761340 -0.09515 9.05911 0.49989 -9.54016 -5064.526350 -0.04825 9.05624 0.49973 -4.89180 -2613.670360 0.00000 9.05526 0.49968 0.00000 0.000
α [grd] β [grd] SX [m] Vp [l] vp [m/s] j [m/s2]
10
00
11
00
12
00
13
00
14
00
15
00
16
00
17
00
18
00
19
00
20
00
21
00
22
00
23
00
24
00
25
00
26
00
27
00
28
00
29
00
30
00
0
100
200
300
400
500
600
0
20
40
60
80
100
120
Caracteristica externă
ge [g/kWh] Me [Nm] Pe [kW] Ge [kg/h]Turaţia, rot/min
Me
*1,5
[N
m],
C*5
[k
g/h
]
Pe
[kW
], c
e/5
g/(
kW
h)
0 0.1
0.2
0.3
0.4
0.5
0.6
0.7
0
2000000
4000000
6000000
8000000
10000000
12000000
14000000
16000000
Diagrama Indicată
V [litri]
p [N
/m2
]
0 30 60 90 120 150 180 210 240 270 300 330 3600
0.02
0.04
0.06
0.08
0.1
0.12
0.14
Deplasarea pistonului, xp
α [grd]
Xp
[m]
0
30
60
90
12
0
15
0
18
0
21
0
24
0
27
0
30
0
33
0
36
0
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Volumul cilindrului
α [grd]
Vx
[li
tri]
0
30
60
90
12
0
15
0
18
0
21
0
24
0
27
0
30
0
33
0
36
0
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Volumul cilindrului
α [grd]
Vx
[li
tri]
0
90
18
0
27
0
36
0
45
0
54
0
63
0
72
0
0
2000000
4000000
6000000
8000000
10000000
12000000
14000000
16000000
Presiunea în cilindru
α [grd]
px*
10^
5 [N
/m2]
0 30 60 90 120 150 180 210 240 270 300 330 360
-26
-22
-18
-14
-10
-6
-2
2
6
10
14
18
22
26
Viteza pistonului, vp
α [grade]
v [m
/s]
0 30 60 90 120 150 180 210 240 270 300 330 360
-10000
-8000
-6000
-4000
-2000
0
2000
4000
6000
8000
10000
12000
14000
Acceleraţia pistonului, ap
α [grade]
ap
[m/s
]
0 40 80 120 160 200 240 280 320 360 400 440 480 520 560 600 640 680 720
-1400
-1200
-1000
-800
-600
-400
-200
0
200
400
600
800
1000
1200
1400
M [Nm]
M [Nm]α [grd]
M [N
m]
-15000 -10000 -5000 0 5000 10000 15000 20000 25000
-30000
-20000
-10000
0
10000
20000
30000
40000
50000
60000
T-ZT [N]
Z [
N]
0 90 180 270 360 450 540 630 720
-40000
-20000
0
20000
40000
60000
80000
100000
F, Fg, Fj
Fg [N]Fj [N]
α [grd]
F, F
g, F
j [N
]
0 90 180 270 360 450 540 630 720
-800
-600
-400
-200
0
200
400
600
800
1000
1200
Momentul total
α [grd]
Mt [
Nm
]
0 90 180 270 360 450 540 630 720
-30000
-20000
-10000
0
10000
20000
30000
40000
50000
60000
N, S=f(α)
N [N]S [N] α [grd]
N,
S [
N]
-150
00
-125
00
-100
00
-750
0
-500
0
-250
0 025
0050
0075
00
1000
0
1250
0
1500
0
-37500
-35000
-32500
-30000
-27500
-25000
-22500
-20000
-17500
-15000
-12500
-10000
-7500
-5000
-2500
0
2500
5000
7500
10000
12500
15000
17500
20000
22500
25000
27500
30000
32500
35000
37500
Z'-T'
T' [N]
Z'
[N]
-150
00
-125
00
-100
00
-750
0
-500
0
-250
0 025
0050
0075
00
1000
0
1250
0
1500
0
-37500
-35000
-32500
-30000
-27500
-25000
-22500
-20000
-17500
-15000
-12500
-10000
-7500
-5000
-2500
0
2500
5000
7500
10000
12500
15000
17500
20000
22500
25000
27500
30000
32500
35000
37500
Z'-T'
T' [N]
Z'
[N]
0 90 180 270 360 450 540 630 7200
5000
10000
15000
20000
25000
30000
35000
40000
Rp [N]
Rp [N]
α [grd]
Rp
[N
]
0 90 180 270 360 450 540 630 7200
5000
10000
15000
20000
25000
30000
35000
40000
45000
50000
Rm [N]
Rm [N]
α [grd]
Rm
[N
]
0 90 180 270 360 450 540 630 7200
5000
10000
15000
20000
25000
30000
35000
40000
45000
50000
Rm [N]
Rm [N]
α [grd]
Rm
[N
]
0 90 180 270 360 450 540 630 720
-30000
-20000
-10000
0
10000
20000
30000
40000
50000
60000
T, Z =f(α)
T [N]
α [grd]
T, Z
[N]
0 90 180 270 360 450 540 630 720
-30000
-20000
-10000
0
10000
20000
30000
40000
50000
60000
T, Z =f(α)
T [N]
α [grd]
T, Z
[N]
1 2 3 4 5 67
89
1011
1213
14151617
18
19
20
21
22
2324
2526
2728
2930
3132
333435363738394041424344
4546
4748
4950
5152
5354
55
56
57
58
59
60
616263
6465
6667
6869
7071
72 73 74 75 76
-50000
0
50000
Rm [N]
Unghi Rm [Rad]
D= 0.0838 m 170000
S= 0.10058 m 210000
Ap= 0.0055 110000
14111501
1904165.69
1.7106180405 kg 310
1.3243494507 kg 240
1.6002555863 kg 290
1.7947694119
0.4704199611
1.2401980794
n= 4200 rot/min
180 °
λ= 0.286
1.3901.546
1.260 R=S/2=0,11028/2= 0.05029236 m
0.592 l 440 rad/sec
0.037 l
0.056 l
2.220 l
-12065.60 N
p0= N/m2
pa= N/m2
m2 pr= N/m2
pz= N/m2
p'l= N/m2
mb= kg/m2
mp= kg/m2
mac= kg/m2
mj=mp+mIb= kg/m2
m1b=0,275mb= kg/m2
m2b=0,725mb= kg/m2
ψ (unghiul dintre manivelele arborelui, în grade)=
n1= ρ=
n2=
Va=
Vc=
Vz=
Vt=
N=F⋅tg β
S=F
cos β
T=S⋅sin(α+β )
Z=S⋅cos (α+β )M=F⋅R
Fg=( pg+ p0 )⋅A p
F j=−m j⋅R⋅ω2 (cosα+ λcos2α )
F=Fg+F j
a p=Rω2 (cosα−λcos2α )
β=arcsin ( λ sinα)
ω=π⋅n30
=3.14⋅280030
=
v p=Rω(sinα+λ2cos2α )
Fcb=−m2 b⋅ω2⋅R=−2. 425⋅2932⋅0 .082=
α xp Vx px vx ax Fg Fj
[grd] [mm] [l] [m/s] [N] [N]0 0.0000 0.0365 170000 0.00 12508.4 0.0 -22449.710 0.0010 0.0419 210000 4.92 12193.0 220.7 -21883.620 0.0039 0.0579 210000 9.60 11271.4 220.7 -20229.530 0.0085 0.0836 210000 13.80 9815.2 220.7 -17616.040 0.0147 0.1178 210000 17.33 7935.3 220.7 -14242.150 0.0222 0.1589 210000 20.06 5770.9 220.7 -10357.360 0.0305 0.2050 210000 21.89 3474.6 220.7 -6236.070 0.0394 0.2541 210000 22.82 1198.1 220.7 -2150.380 0.0485 0.3043 210000 22.86 -922.6 220.7 1655.990 0.0575 0.3537 210000 22.12 -2779.6 220.7 4988.8100 0.0660 0.4007 210000 20.70 -4301.4 220.7 7720.0105 0.0700 0.4229 210000 19.79 -4925.2 220.7 8839.7110 0.0738 0.4440 210000 18.75 -5456.8 220.7 9793.6120 0.0808 0.4825 210000 16.42 -6254.2 220.7 11224.9130 0.0868 0.5157 210000 13.83 -6736.2 220.7 12089.9140 0.0918 0.5430 210000 11.11 -6970.0 220.7 12509.5150 0.0956 0.5643 210000 8.32 -7035.5 220.7 12627.2160 0.0984 0.5795 210000 5.53 -7012.7 220.7 12586.2170 0.1000 0.5885 210000 2.76 -6969.0 220.7 12507.7180 0.1006 0.5916 210000 0.00 -6949.1 220.7 12472.1190 0.1000 0.5885 211500 -2.76 -6969.0 229.0 12507.7200 0.0984 0.5795 216119 -5.53 -7012.7 254.5 12586.2210 0.0956 0.5643 224238 -8.32 -7035.5 299.3 12627.2220 0.0918 0.5430 236544 -11.11 -6970.0 367.2 12509.5225 0.0894 0.5301 244592 -12.48 -6879.3 411.6 12346.7230 0.0868 0.5157 254142 -13.83 -6736.2 464.3 12089.9240 0.0808 0.4825 278737 -16.42 -6254.2 600.0 11224.9250 0.0738 0.4440 312956 -18.75 -5456.8 788.9 9793.6260 0.0660 0.4007 360919 -20.70 -4301.4 1053.5 7720.0270 0.0575 0.3537 429262 -22.12 -2779.6 1430.6 4988.8280 0.0485 0.3043 529070 -22.86 -922.6 1981.4 1655.9290 0.0394 0.2541 679632 -22.82 1198.1 2812.2 -2150.3300 0.0305 0.2050 916064 -21.89 3474.6 4116.9 -6236.0310 0.0222 0.1589 1305198 -20.06 5770.9 6264.2 -10357.3320 0.0147 0.1178 1978242 -17.33 7935.3 9978.1 -14242.1330 0.0085 0.0836 3186911 -13.80 9815.2 16647.7 -17616.0340 0.0039 0.0579 5312205 -9.60 11271.4 28375.3 -20229.5345 0.0022 0.0486 6768985 -7.30 11804.5 36414.0 -21186.4350 0.0010 0.0419 8318042 -4.92 12193.0 44961.9 -21883.6360 0.0000 0.0365 10079643 0.00 12508.4 54682.6 -22449.7370 0.0010 0.0419 14111501 4.92 12193.0 76930.9 -21883.6380 0.0039 0.0579 13829271 9.60 11271.4 75373.5 -20229.5390 0.0085 0.0836 8604730 13.80 9815.2 46543.9 -17616.0400 0.0147 0.1178 5584894 17.33 7935.3 29880.1 -14242.1410 0.0222 0.1589 3830917 20.06 5770.9 20201.4 -10357.3420 0.0305 0.2050 2779277 21.89 3474.6 14398.3 -6236.0430 0.0394 0.2541 2120341 22.82 1198.1 10762.2 -2150.3440 0.0485 0.3043 1689728 22.86 -922.6 8386.0 1655.9450 0.0575 0.3537 1398032 22.12 -2779.6 6776.4 4988.8460 0.0660 0.4007 1194669 20.70 -4301.4 5654.3 7720.0470 0.0738 0.4440 1049817 18.75 -5456.8 4854.9 9793.6480 0.0808 0.4825 945209 16.42 -6254.2 4277.7 11224.9490 0.0868 0.5157 834513 13.83 -6736.2 3666.9 12089.9500 0.0918 0.5430 757521 11.11 -6970.0 3242.0 12509.5510 0.0956 0.5643 690667 8.32 -7035.5 2873.1 12627.2520 0.0984 0.5795 630436 5.53 -7012.7 2540.7 12586.2530 0.1000 0.5885 588770 2.76 -6969.0 2310.8 12507.7540 0.1006 0.5916 470615 0.00 -6949.1 1658.8 12472.1550 0.1000 0.5885 447084 -2.76 -6969.0 1529.0 12507.7560 0.0984 0.5795 424730 -5.53 -7012.7 1405.6 12586.2570 0.0956 0.5643 403493 -8.32 -7035.5 1288.4 12627.2580 0.0918 0.5430 383319 -11.11 -6970.0 1177.1 12509.5590 0.0868 0.5157 364153 -13.83 -6736.2 1071.4 12089.9600 0.0808 0.4825 345945 -16.42 -6254.2 970.9 11224.9610 0.0738 0.4440 328648 -18.75 -5456.8 875.4 9793.6620 0.0660 0.4007 312216 -20.70 -4301.4 784.8 7720.0630 0.0575 0.3537 296605 -22.12 -2779.6 698.6 4988.8640 0.0485 0.3043 281775 -22.86 -922.6 616.8 1655.9650 0.0394 0.2541 267686 -22.82 1198.1 539.0 -2150.3660 0.0305 0.2050 110000 -21.89 3474.6 -331.1 -6236.0670 0.0222 0.1589 110000 -20.06 5770.9 -331.1 -10357.3680 0.0147 0.1178 110000 -17.33 7935.3 -331.1 -14242.1690 0.0085 0.0836 110000 -13.80 9815.2 -331.1 -17616.0700 0.0039 0.0579 110000 -9.60 11271.4 -331.1 -20229.5710 0.0010 0.0419 110000 -4.92 12193.0 -331.1 -21883.6720 0.0000 0.0365 170000 0.00 12508.4 0.0 -22449.7
[N/m2] [m/s2]
α Beta N S T Z M Rm[grd] [grd] [N] [N] [N] [N] [Nm] [N]
0 0.0000 0.00 -22449.72 0.00 -22449.72 0.00 34515.3210 0.0496 -1076.10 -21689.57 -3784.86 -21356.79 -190.35 33636.0120 0.0979 -1964.66 -20105.03 -6908.59 -18880.78 -347.45 31708.1530 0.1433 -2510.79 -17575.53 -8825.82 -15198.82 -443.87 28657.3540 0.1847 -2619.64 -14264.01 -9203.91 -10897.25 -462.89 24738.7250 0.2207 -2273.73 -10388.50 -7983.71 -6646.90 -401.52 20344.4760 0.2500 -1536.17 -6208.36 -5390.09 -3080.69 -271.08 16076.7970 0.2718 -537.81 -2003.14 -1885.56 -676.18 -94.83 12880.5380 0.2852 550.27 1955.65 1927.60 330.00 96.94 11892.8590 0.2898 1553.19 5436.16 5436.09 -27.49 273.39 13258.73100 0.2852 2328.39 8275.07 8142.10 -1477.50 409.49 15802.19105 0.2796 2601.51 9426.48 9093.26 -2484.16 457.32 17157.59110 0.2718 2791.17 10396.06 9752.13 -3601.97 490.46 18454.72120 0.2500 2922.94 11812.92 10204.41 -5951.05 513.20 20705.78130 0.2207 2761.39 12616.57 9633.55 -8146.94 484.49 22390.89140 0.1847 2378.41 12950.52 8292.41 -9947.46 417.04 23523.15150 0.1433 1854.43 12981.03 6462.37 -11258.11 325.01 24202.43160 0.0979 1257.51 12868.52 4380.63 -12099.96 220.31 24559.40170 0.0496 632.28 12744.08 2202.11 -12552.38 110.75 24716.27180 0.0000 0.00 12692.79 0.00 -12692.79 0.00 24758.39190 -0.0496 -632.69 12752.36 -2203.54 -12560.54 -110.82 24724.53200 -0.0979 -1260.83 12902.45 -4392.18 -12131.86 -220.89 24592.85210 -0.1433 -1865.77 13060.41 -6501.89 -11326.95 -327.00 24279.33220 -0.1847 -2405.78 13099.53 -8387.82 -10061.91 -421.84 23663.94225 -0.2034 -2631.84 13026.95 -9178.68 -9244.09 -461.62 23202.39230 -0.2207 -2816.02 12866.21 -9824.16 -8308.13 -494.08 22618.64240 -0.2500 -3019.80 12204.39 -10542.58 -6148.26 -530.21 21044.97250 -0.2718 -2949.52 10985.84 -10305.37 -3806.31 -518.28 18924.01260 -0.2852 -2572.58 9142.92 -8996.00 -1632.45 -452.43 16387.94270 -0.2898 -1913.91 6698.70 -6698.62 -33.88 -336.89 13829.99280 -0.2852 -1066.53 3790.44 -3736.09 639.61 -187.90 12021.29290 -0.2718 -184.48 687.13 -646.80 231.95 -32.53 11851.32300 -0.2500 541.18 -2187.17 1898.90 -1085.31 95.50 13287.30310 -0.2207 918.14 -4194.89 3223.84 -2684.03 162.13 15097.84320 -0.1847 796.65 -4337.80 2798.98 -3313.94 140.77 15632.16330 -0.1433 139.76 -978.34 491.29 -846.04 24.71 12920.98340 -0.0979 -799.83 8184.95 -2812.55 7686.55 -141.45 5204.47345 -0.0740 -1129.15 15269.44 -3971.07 14744.02 -199.71 4789.92350 -0.0496 -1146.41 23106.77 -4032.16 22752.24 -202.79 11422.02360 0.0000 0.00 32232.91 0.00 32232.91 0.00 20167.31370 0.0496 2734.47 55115.20 9617.67 54269.57 483.70 43285.96380 0.0979 5414.59 55409.19 19039.98 52035.16 957.57 44272.86390 0.1433 4175.38 29227.66 14677.11 25275.26 738.15 19746.21400 0.1847 2921.66 15908.52 10265.03 12153.60 516.25 10265.41410 0.2207 2208.10 10088.65 7753.27 6455.05 389.93 9570.34420 0.2500 2084.46 8424.23 7313.91 4180.24 367.83 10755.10430 0.2718 2400.28 8940.15 8415.41 3017.82 423.23 12356.43440 0.2852 2944.50 10464.75 10314.68 1765.86 518.75 14576.60450 0.2898 3507.72 12277.03 12276.87 -62.09 617.43 17256.95460 0.2852 3921.61 13937.36 13713.40 -2488.49 689.68 19996.98470 0.2718 4082.81 15206.91 14264.99 -5268.80 717.42 22449.31480 0.2500 3959.00 16000.09 13821.44 -8060.44 695.11 24414.95490 0.2207 3534.38 16148.34 12330.28 -10427.52 620.12 25651.04500 0.1847 2942.88 16024.08 10260.46 -12308.30 516.02 26445.49510 0.1433 2237.27 15660.90 7796.49 -13582.28 392.10 26806.70520 0.0979 1485.32 15199.70 5174.20 -14291.91 260.22 26860.57530 0.0496 736.11 14836.75 2563.72 -14613.58 128.94 26802.07540 0.0000 0.00 14130.90 0.00 -14130.90 0.00 26196.50550 -0.0496 -697.27 14053.95 -2428.45 -13842.55 -122.13 26021.71560 -0.0979 -1373.86 14059.13 -4785.93 -13219.45 -240.70 25734.01570 -0.1433 -2008.55 14059.82 -6999.42 -12193.71 -352.02 25248.88580 -0.1847 -2557.09 13923.46 -8915.40 -10694.79 -448.38 24444.21590 -0.2207 -2952.19 13488.34 -10299.20 -8709.87 -517.97 23188.22600 -0.2500 -3114.51 12587.15 -10873.23 -6341.09 -546.84 21378.33610 -0.2718 -2973.65 11075.73 -10389.70 -3837.46 -522.52 18996.13620 -0.2852 -2493.77 8862.85 -8720.44 -1582.45 -438.57 16196.15630 -0.2898 -1695.67 5934.84 -5934.77 -30.01 -298.47 13473.13640 -0.2852 -666.40 2368.38 -2334.42 399.65 -117.40 11897.22650 -0.2718 449.09 -1672.69 1574.51 -564.63 79.19 12727.99660 -0.2500 1677.09 -6777.88 5884.55 -3363.29 295.95 16512.99670 -0.2207 2397.51 -10954.02 8418.32 -7008.74 423.38 20849.43680 -0.1847 2722.73 -14825.37 9566.13 -11326.12 481.10 25272.18690 -0.1433 2590.44 -18133.06 9105.79 -15680.96 457.95 29202.52700 -0.0979 2018.85 -20659.50 7099.12 -19401.48 357.03 32257.94710 -0.0496 1103.51 -22242.07 3881.27 -21900.80 195.20 34187.44720 0.0000 0.00 -22449.72 0.00 -22449.72 0.00 34515.32
α M1 M2 M3 M4 M5 M6 Mt=Sum(M1,M4)0 0.0 -461.6 437.389 457.3 -546.8 -199.7 -313.510 -190.3 -494.1 391.2 490.5 -522.5 -202.8 -528.120 -347.4 -530.2 326.0 513.2 -438.6 0.0 -477.130 -443.9 -518.3 247.9 484.5 -298.5 483.7 -44.640 -462.9 -452.4 164.6 417.0 -117.4 957.6 506.550 -401.5 -336.9 81.6 325.0 79.2 738.1 485.560 -271.1 -187.9 0.0 220.3 295.9 516.3 573.570 -94.8 -32.5 -77.0 110.7 423.4 389.9 719.780 96.9 95.5 -151.9 0.0 481.1 367.8 889.590 273.4 162.1 -222.2 -110.8 458.0 423.2 983.7100 409.5 140.8 -283.1 -220.9 357.0 518.7 922.0105 457.3 24.7 -326.9 -327.0 195.2 617.4 640.8110 490.5 -141.4 -344.5 -421.8 0.0 689.7 272.3120 513.2 -199.7 -328.0 -461.6 -190.3 717.4 51.0130 484.5 -202.8 -273.1 -494.1 -347.4 695.1 -137.8140 417.0 0.0 -182.2 -530.2 -443.9 620.1 -119.1150 325.0 483.7 -65.0 -518.3 -462.9 516.0 278.6160 220.3 957.6 62.0 -452.4 -401.5 392.1 778.0170 110.7 738.1 176.6 -336.9 -271.1 260.2 677.7180 0.0 516.3 261.2 -187.9 -94.8 128.9 623.7190 -110.8 389.9 301.0 -32.5 96.9 0.0 644.5200 -220.9 367.8 288.6 95.5 273.4 -122.1 682.3210 -327.0 423.2 225.8 162.1 409.5 -240.7 653.0220 -421.8 518.7 123.7 140.8 457.3 -352.0 466.7225 -461.6 617.4 0.0 24.7 490.5 -448.4 222.6230 -494.1 689.7 -126.0 -141.4 513.2 -518.0 -76.6240 -530.2 717.4 -230.3 -199.7 484.5 -546.8 -305.2250 -518.3 695.1 -295.1 -202.8 417.0 -522.5 -426.5260 -452.4 620.1 -309.5 0.0 325.0 -438.6 -255.3270 -336.9 516.0 -271.4 483.7 220.3 -298.5 313.3280 -187.9 392.1 -188.1 957.6 110.7 -117.4 967.0290 -32.5 260.2 -74.8 738.1 0.0 79.2 970.3300 95.5 128.9 49.1 516.3 -110.8 295.9 974.9310 162.1 0.0 163.5 389.9 -220.9 423.4 918.0320 140.8 -122.1 252.1 367.8 -327.0 481.1 792.7330 24.7 -240.7 283.5 423.2 -421.8 458.0 526.8340 -141.4 -352.0 305.4 518.7 -461.6 357.0 226.1345 -199.7 -448.4 321.3 617.4 -494.1 195.2 -8.3350 -202.8 -518.0 304.1 689.7 -530.2 0.0 -257.2360 0.0 -546.8 262.1 717.4 -518.3 -190.3 -276.0370 483.7 -522.5 204.3 695.1 -452.4 -347.4 60.7380 957.6 -438.6 138.5 620.1 -336.9 -443.9 496.8390 738.1 -298.5 69.6 516.0 -187.9 -462.9 374.5400 516.3 -117.4 0.0 392.1 -32.5 -401.5 356.9410 389.9 79.2 -69.6 260.2 95.5 -271.1 484.1420 367.8 295.9 -138.8 128.9 162.1 -94.8 721.2430 423.2 423.4 -205.4 0.0 140.8 96.9 879.0440 518.7 481.1 -264.7 -122.1 24.7 273.4 911.2450 617.4 458.0 -289.3 -240.7 -141.4 409.5 813.4460 689.7 357.0 -309.3 -352.0 -199.7 457.3 643.0470 717.4 195.2 -330.5 -448.4 -202.8 490.5 421.5480 695.1 0.0 -320.4 -518.0 0.0 513.2 369.9490 620.1 -190.3 -275.3 -546.8 483.7 484.5 575.8500 516.0 -347.4 -197.8 -522.5 957.6 417.0 822.8510 392.1 -443.9 -98.4 -438.6 738.1 325.0 474.4520 260.2 -462.9 5.7 -298.5 516.3 220.3 241.1530 128.9 -401.5 92.7 -117.4 389.9 110.7 203.4540 0.0 -271.1 140.8 79.2 367.8 0.0 316.7550 -122.1 -94.8 132.8 295.9 423.2 -110.8 524.2560 -240.7 96.9 63.2 423.4 518.7 -220.9 640.6570 -352.0 273.4 -43.9 481.1 617.4 -327.0 649.0580 -448.4 409.5 -86.5 458.0 689.7 -421.8 600.4590 -518.0 457.3 -98.4 357.0 717.4 -461.6 453.8600 -546.8 490.5 0.0 195.2 695.1 -494.1 339.8610 -522.5 513.2 262.1 0.0 620.1 -530.2 342.7620 -438.6 484.5 521.1 -190.3 516.0 -518.3 374.4630 -298.5 417.0 452.7 -347.4 392.1 -452.4 163.5640 -117.4 325.0 306.1 -443.9 260.2 -336.9 -6.8650 79.2 220.3 224.8 -462.9 128.9 -187.9 2.5660 295.9 110.7 212.3 -401.5 0.0 -32.5 184.9670 423.4 0.0 250.3 -271.1 -122.1 95.5 376.0680 481.1 -110.8 314.5 -94.8 -240.7 162.1 511.3690 458.0 -220.9 380.6 96.9 -352.0 140.8 503.4700 357.0 -327.0 429.6 273.4 -448.4 24.7 309.3710 195.2 -421.8 449.7 409.5 -518.0 -141.4 -26.9720 0.0 -461.6 437.4 457.3 -546.8 -199.7 -313.5
α T1 Z1 T2 Z2 T' Z' Rp[grd] [N] [N] [N] [N] [N] [N] [N]
0 0.00 -22449.72 0.00 -12692.79 0.00 -4878.46 4878.4610 -3784.86 -21356.79 -2203.54 -12560.54 -790.66 -4398.12 4468.6320 -6908.59 -18880.78 -4392.18 -12131.86 -1258.20 -3374.46 3601.4030 -8825.82 -15198.82 -6501.89 -11326.95 -1161.97 -1935.94 2257.8840 -9203.91 -10897.25 -8387.82 -10061.91 -408.04 -417.67 583.9150 -7983.71 -6646.90 -9824.16 -8308.13 920.23 830.62 1239.6560 -5390.09 -3080.69 -10542.58 -6148.26 2576.24 1533.79 2998.2570 -1885.56 -676.18 -10305.37 -3806.31 4209.91 1565.07 4491.4180 1927.60 330.00 -8996.00 -1632.45 5461.80 981.23 5549.2490 5436.09 -27.49 -6698.62 -33.88 6067.35 3.19 6067.35100 8142.10 -1477.50 -3736.09 639.61 5939.09 -1058.56 6032.69110 9752.13 -3601.97 -646.80 231.95 5199.46 -1916.96 5541.58120 10204.41 -5951.05 1898.90 -1085.31 4152.76 -2432.87 4812.92130 9633.55 -8146.94 3223.84 -2684.03 3204.86 -2731.45 4210.93140 8292.41 -9947.46 2798.98 -3313.94 2746.71 -3316.76 4306.43150 6462.37 -11258.11 491.29 -846.04 2985.54 -5206.03 6001.35160 4380.63 -12099.96 -2812.55 7686.55 3596.59 -9893.25 10526.72170 2202.11 -12552.38 -4032.16 22752.24 3117.14 -17652.31 17925.42180 0.00 -12692.79 0.00 32232.91 0.00 -22462.85 22462.85190 -2203.54 -12560.54 9617.67 54269.57 -5910.61 -33415.05 33933.77200 -4392.18 -12131.86 19039.98 52035.16 -11716.08 -32083.51 34155.79210 -6501.89 -11326.95 14677.11 25275.26 -10589.50 -18301.10 21143.98220 -8387.82 -10061.91 10265.03 12153.60 -9326.43 -11107.76 14503.95230 -9824.16 -8308.13 7753.27 6455.05 -8788.72 -7381.59 11477.34240 -10542.58 -6148.26 7313.91 4180.24 -8928.25 -5164.25 10314.22250 -10305.37 -3806.31 8415.41 3017.82 -9360.39 -3412.07 9962.89260 -8996.00 -1632.45 10314.68 1765.86 -9655.34 -1699.16 9803.71270 -6698.62 -33.88 12276.87 -62.09 -9487.74 14.11 9487.75280 -3736.09 639.61 13713.40 -2488.49 -8724.75 1564.05 8863.83290 -646.80 231.95 14264.99 -5268.80 -7455.89 2750.38 7947.01300 1898.90 -1085.31 13821.44 -8060.44 -5961.27 3487.56 6906.51310 3223.84 -2684.03 12330.28 -10427.52 -4553.22 3871.74 5976.81320 2798.98 -3313.94 10260.46 -12308.30 -3730.74 4497.18 5843.20330 491.29 -846.04 7796.49 -13582.28 -3652.60 6368.12 7341.29340 -2812.55 7686.55 5174.20 -14291.91 -3993.38 10989.23 11692.31350 -4032.16 22752.24 2563.72 -14613.58 -3297.94 18682.91 18971.75360 0.00 32232.91 0.00 -14130.90 0.00 23181.90 23181.90370 9617.67 54269.57 -2428.45 -13842.55 6023.06 34056.06 34584.57380 19039.98 52035.16 -4785.93 -13219.45 11912.95 32627.30 34734.13390 14677.11 25275.26 -6999.42 -12193.71 10838.27 18734.48 21643.68400 10265.03 12153.60 -8915.40 -10694.79 9590.22 11424.20 14915.91410 7753.27 6455.05 -10299.20 -8709.87 9026.24 7582.46 11788.41420 7313.91 4180.24 -10873.23 -6341.09 9093.57 5260.66 10505.60430 8415.41 3017.82 -10389.70 -3837.46 9402.55 3427.64 10007.83440 10314.68 1765.86 -8720.44 -1582.45 9517.56 1674.15 9663.68450 12276.87 -62.09 -5934.77 -30.01 9105.82 -16.04 9105.83460 13713.40 -2488.49 -2334.42 399.65 8023.91 -1444.07 8152.82470 14264.99 -5268.80 1574.51 -564.63 6345.24 -2352.09 6767.16480 13821.44 -8060.44 5884.55 -3363.29 3968.45 -2348.57 4611.33490 12330.28 -10427.52 8418.32 -7008.74 1955.98 -1709.39 2597.66500 10260.46 -12308.30 9566.13 -11326.12 347.17 -491.09 601.41510 7796.49 -13582.28 9105.79 -15680.96 -654.65 1049.34 1236.80520 5174.20 -14291.91 7099.12 -19401.48 -962.46 2554.79 2730.07530 2563.72 -14613.58 3881.27 -21900.80 -658.78 3643.61 3702.69540 0.00 -14130.90 0.00 -22449.72 0.00 4159.41 4159.41550 -2428.45 -13842.55 -3784.86 -21356.79 678.20 3757.12 3817.84560 -4785.93 -13219.45 -6908.59 -18880.78 1061.33 2830.66 3023.09570 -6999.42 -12193.71 -8825.82 -15198.82 913.20 1502.56 1758.30580 -8915.40 -10694.79 -9203.91 -10897.25 144.25 101.23 176.23590 -10299.20 -8709.87 -7983.71 -6646.90 -1157.75 -1031.48 1550.59600 -10873.23 -6341.09 -5390.09 -3080.69 -2741.57 -1630.20 3189.63610 -10389.70 -3837.46 -1885.56 -676.18 -4252.07 -1580.64 4536.35620 -8720.44 -1582.45 1927.60 330.00 -5324.02 -956.23 5409.21630 -5934.77 -30.01 5436.09 -27.49 -5685.43 -1.26 5685.43640 -2334.42 399.65 8142.10 -1477.50 -5238.26 938.58 5321.68650 1574.51 -564.63 9752.13 -3601.97 -4088.81 1518.67 4361.73660 5884.55 -3363.29 10204.41 -5951.05 -2159.93 1293.88 2517.82670 8418.32 -7008.74 9633.55 -8146.94 -607.61 569.10 832.51680 9566.13 -11326.12 8292.41 -9947.46 636.86 -689.33 938.49690 9105.79 -15680.96 6462.37 -11258.11 1321.71 -2211.43 2576.30700 7099.12 -19401.48 4380.63 -12099.96 1359.24 -3650.76 3895.59710 3881.27 -21900.80 2202.11 -12552.38 839.58 -4674.21 4749.02720 0.00 -22449.72 0.00 -12692.79 0.00 -4878.46 4878.46
