Calcul Des Platine Et de La Tige d'Ancrage

poteau encastré en pied dimensions du poteau largeur de la semelle bfc= épaisseur de la semelle tfc= épaisseur de l'âme twc= hauteur de l'âme hc=

190 mm 14.6 mm 9.4 mm 450 mm

effort normal centré N=

8520.69 daN

Moment suivant x Mx=

2807.04 daN.m

Moment suivant y My=

11116.51 daN.m

diamétre des goujons Ø= plaque d'assise de nuance acier S235

30 mm fyk=

23.5 daN/mm²

fondation en béton de classe C25/30 fck= 2.5 daN/mm² coefficients partiel acier γM0= 1 béton γC= 1.5 épaisseur tfc= 0.4 m résistance de calcul du béton à la compression fcd= 1.666666667 daN/mm² résistance de calcul à l'arrachement du matériau de scellement βj=2/3= valeur du coefficient du matériau de scellement efforts de compression et de traction max exercés sur la fondation les dimension de la fondation étant inconnues prenons (Ac1/Ac0)^0,5=a=1,5 la résistance de calcul dû à l'arrachement du matériau de scellement fjd= axβjxfcd=

0.66666667 1.5 1.66666667

compression max Fced= abs(Med)/(hc-tfc)-Ned/2=

21271.373 daN

traction max Fted= abs(Med)/(hc-tfc)+Ned/2=

29792.063 daN

Estimation de l'aire de la plaque d'assise on prendra la plus grande des deux valeurs ci-dessous Ac0=(1/hcxbfc)x(Njed/fcd)^2 Njed= 2xabs(Fced)=

42542.7459 daN

Ac0=

7620.56939 mm²

Ac0=Njed/fcd=

25525.6476 mm²

qui est le plus grand

donc Ac0= 25525.6476 mm² soit bp et hp les dimensions en plan de la plaque d'assise ; on a: bp> bfc+2tfc= 219.2 mm hp> hc+2tfc= 479.2 mm prenons bp= et hp=

390 mm 650 mm

ce qui donne Ac0= bpxhp

253500 mm² > 25525,6476 mm²

donc Ac0=

253500 mm²

béton fub=

8 MPa

excentricité e= M/N=

1.30464904 m

distance d= d/6=

550 mm 0.09166667 m< e

donc le centre de pousée se trouve hors du tiers central de la section, et la platine est soulevée à gauche vérification de la contrainte de compression du béton A= l= d/2+e=

11.22 cm² 157.964904 cm

h= d (en cm)+5=

60 cm

b=

39 cm

équation de 3e dégré en h' h'^3+3(l-h)h'²+90Ax(l/b)h'-90A(l/b)h=0 3(l-h)

293.894711

90Ax(l/b)

4090.07589

90A(l/b)h

245404.553

on obtient h'=

22.13 cm

contrainte de compression sur le béton σb=(2Nxl)/(bh'(h-h'/3))=

59.2708278 daN/cm²

< fub = 80 daN/cm² ok!

vérification des goujons à la traction σa=(N/A)x((l-h+(h'/3))/(h-(h'/3))= soit 1,25σa=

15.2020915 daN/mm² 152.020915 MPa 190.026144 MPa < fy = 235 MPa

calcul de l'épaisseur de la platine 46.3768116 vérification dans la section 1-1 distance du bord de la plaque à la semelle du poteau z= (hp-hc)/2=

100 mm

les moments correspondants, pour une bande de largeur unité (1 cm) et d'épaisseur t, sont: M1= σbxz(en cm)x(z/2) en (m)=

29.6354139 daN.m

M2= σbxz/2(en cm)x(z/3) en (m)

9.87847129 daN.m

M= M1-M2=

19.7569426 daN.m

le module de flexion de la platine pour b= 1 cm est: I/v = t²/6 la contrainte de flexion dans la section 1-1 est: M/wel= Mx6/t² =

2.75072511 cm

vérification dans la section 3-3 du côté tendu, la platine est soumise à un moment M= (d-hc)xT daN.m T= Axσa=

17056.7467 daN

M= wel = bpxt²/6

852.837333 daN.m

il faut vérifier que Mx6/(bpxt²) = (Mx6/(bpxfy))^0,5= donc t max (t1;t2;t3)=

2.36288449 cm

2.75072511 cm

calcul de l'adhérence acier-béton calcul de la contrainte d'adhérence tsu = 0,6ys²xftj ftj = 0,6+0,06fcj=

2.1 MPa

coefficient de scellement relatif à l'acier ys= tsu=

1 1.26 MPa

longueur de scellement droit ls = Øxfy/(4tsu) fy=

235 Mpa

Ø=

30 mm

ls=

1.39880952 m cette valeur est trop importante compte tenu

de l'épaisseur du radier en partie courante. En dispotions constructives, on mettra une platine calcul des dimensions de la platine

effort de traction dans les tiges d'ancrage F = nxØ pxlsxtsu= n: nombre de tiges= F=

4 664446.846 N

664.446846 kN

soient a et b les dimensions de la platine, on doit vérifier que (axb-(npز)/4) >= F/fy d'où axb >= (F/fy)+(npز/4) axb >=

5654.86678 mm²

on prendra les même dimensions en plan que celle de la platine supérieure soit axb= 390 mm x 650 mm contrainte de traction σ = F/(axb)= calcul de l'épaisseur de la platine soit t l'épaisseur

253500 mm² 2.6210921 Mpa

ua = ( a-nØ)/2 ub = (b-nØ)/2 a=

650 mm

b=

390 mm

ua=

265 mm

ub=

135 mm

t doit vérifier la relation suivante: t >= u(3σ/fy)^0,5= pour u = ua t >=

48.4745416 mm

pour u = ub t >=

24.6945778 mm

on prendra t = min(ta;tb)=

24.6945778 mm

soit t=

25 mm

daN/mm²

Actions aux appuis ponctuels par élément (repère global) N°

1(R)

2(R)

3(R)

Cas de charges

FX(daN)

FY(daN)

FZ(daN)

MX(daN*m)

MY(daN*m)

1

-11.02

-37.5

-1115.62

-1.41

-38.36

2

-365.05

188.88

-1071.14

-6.64

-1641.57

3

-291.08

137.59

-736.81

-5.63

-1371.35

4

-221.36

87.75

-438.17

-4.54

-1114.66

5

-159.64

44.19

-192.29

-3.46

-881.35

6

-109.66

11.77

-16.2

-2.47

-681.29

7

-72.19

3.66

126.22

-1.96

-505.05

8

-43.28

17.12

261.22

-1.95

-340.2

9

-23.19

34.12

327.21

-1.9

-204.35

10

-12.16

36.63

262.61

-1.28

-115.09

11

-9.99

-409.15

-6.17

20.64

-80.61

12

727.65

-259.34

1375.44

210.56

3708.33

13

1038.53

22.51

1313.53

50.28

4321.5

14

-871.72

-480.11

-1097.58

216.5

-3977.91

15

-561.83

-198.41

-1160.99

56.24

-3369.58

16

-415.25

588.38

2206.92

-138.36

-820.95

17

-104.73

869.28

2141.83

-298.36

-209.74

18

-413.96

-717.85

-1964.21

220.86

-816.45

19

-103.44

-435.41

-2024.37

60.44

-205.24

1

11.02

-37.5

-1115.62

-1.41

38.36

2

136.7

-51.51

-2040.11

1.76

104.58

3

71.51

-1.75

-1168.9

-0.55

-109.69

4

11.33

48.08

-342.34

-2.73

-305.18

5

-38.24

94.67

376.24

-4.65

-459.31

6

-71.62

134.75

923.51

-6.13

-549.46

7

-80.89

156.62

1188.3

-6.73

-535.94

8

-70.8

161.6

1219.43

-6.54

-436.61

9

-50.91

166.2

1158.92

-6.21

-301.48

10

-30.79

186.88

1148.77

-6.34

-180.54

11

9.99

-409.15

-6.17

20.64

80.61

12

1056.32

-478.55

-1081.53

216.39

4173.42

13

602.69

-207.17

-1213.13

56.53

3383.53

14

-845.25

-257.45

1382.53

210.47

-3826.65

15

-1300.09

14.03

1252.47

50.62

-4621.61

16

604.24

601.3

2292.49

-138.88

1055.02

17

150

871.82

2158.9

-298.46

262.85

18

602.94

-704.93

-1878.64

220.34

1050.51

19

148.71

-432.87

-2007.3

60.33

258.35

1

-21.07

36.17

-1229.1

-0.31

-73.35

2

-108.39

291.25

-1654.93

-7.57

-676.96

3

-187.74

241.7

-2029.55

-6.16

-968.7

4

-257.88

192.12

-2327.62

-4.76

-1228.66

5

-307.21

145.47

-2485.74

-3.5

-1409.11

6

-324.15

104.72

-2440.53

-2.49

-1462.31

3(R)

4(R)

5(R)

7

-294.32

81.02

-2172.92

-2.06

-1320.09

8

-227.68

73.24

-1749.82

-2.14

-1021.1

9

-141.42

65.82

-1174.36

-2.23

-650.57

10

-52.75

43.19

-449.65

-1.82

-293.72

11

-10.16

406.78

8.47

-20.53

-81.2

12

1218.21

-123.06

513.39

-5.48

4682.15

13

2068.99

13.84

252.64

-3.37

6230.83

14

-1594.21

-228.78

35.11

-0.54

-5284.07

15

-745.06

-91.95

-225.96

1.57

-3741.31

16

-1130.89

462.88

-1750.72

-29.1

-2052.58

17

-280.61

599.11

-2009.34

-26.96

-506.04

18

-1133.39

-558.94

2685.84

31.56

-2061.31

19

-283.11

-421.5

2421.97

33.63

-514.76

1

21.07

36.17

-1229.1

-0.31

73.35

2

-71.3

23.31

81.65

0.64

-547.82

3

-2.39

73.56

-825.35

-1.21

-323.43

4

57.15

122.43

-1648.01

-3.03

-131.94

5

100.28

165.5

-2288.83

-4.66

9.5

6

119.96

198.34

-2650.29

-5.95

83.76

7

113.16

208.44

-2601.26

-6.49

98.48

8

87.32

198.25

-2225.03

-6.35

75.53

9

43.89

184.8

-1679.49

-6.09

-5.43

10

-15.7

185.15

-1122.54

-6.26

-164.75

11

10.16

406.78

8.47

-20.53

81.2

12

1394.72

-226.67

7.58

-0.56

5059.26

13

690.88

-101.18

-158.53

1.88

3656.33

14

-1086.62

-121.24

503.75

-5.53

-4514.59

15

-1792.13

4.31

337.99

-3.09

-5923.75

16

939.29

477.13

-1871.52

-29.52

1871.62

17

234.64

601.99

-2035.14

-27.04

465.88

18

941.8

-544.69

2565.04

31.15

1880.35

19

237.15

-418.62

2396.18

33.55

474.6

1

-11.02

1.33

-952.43

-4.73

-38.36

2

-12.92

0.98

36.42

-5.48

-117.98

3

-7.54

1.12

76.72

-5.91

-96.5

4

-7.12

1.21

76.18

-6.15

-93.28

5

-19.51

1.23

-11.56

-6.07

-146.17

6

-52.56

1.14

-232.85

-5.53

-293.04

7

-119.85

0.95

-642.88

-4.71

-611.53

8

-215.4

0.7

-1200.95

-3.71

-1075.39

9

-321.75

0.33

-1842.39

-2.2

-1581.8

10

-421.45

-0.21

-2502.51

0.17

-2027.92

11

-9.99

2.37

-2.3

-14.8

-80.61

12

725.83

544.26

949.38

-1043.49

3267.59

13

1143.28

136.48

688.46

-263.04

4111.51

14

-914.61

543.33

-223.71

-1038.27

-3619.89

15

-498.14

135.59

-485.33

-257.91

-2780.16

6(R)

16

-556.17

546.66

335.34

-1055.12

-1123.37

17

-139.05

138.54

73.91

-274.02

-281.04

18

-554.96

-348.39

69.91

685.15

-1119.16

19

-137.84

-755.45

-191.2

1464.2

-276.83

1

11.02

1.33

-952.43

-4.73

38.36

2

-31.44

-0.52

124.12

2.87

-182.44

3

-35.15

0.18

159.88

-0.71

-192.62

4

-34.52

0.82

155.96

-4.05

-188.65

5

-28.08

1.34

78.18

-6.81

-176

6

-14.38

1.68

-107.63

-8.67

-160.13

7

1.7

1.71

-421.46

-9

-188.38

8

17.44

1.48

-828.84

-8.03

-264.79

9

40.98

1.12

-1313.88

-6.48

-318.99

10

80.45

0.76

-1860.68

-5.08

-280.61

11

9.99

2.37

-2.3

-14.8

80.61

12

914.45

543.36

-219.99

-1038.41

3620.39

13

496.79

135.51

-479.2

-257.54

2772.81

14

-724.96

544.24

944.12

-1043.47

-3263.47

15

-1143.7

136.43

685.67

-262.69

-4115.46

16

557.66

546.75

332.15

-1055.65

1133.41

17

139.47

138.56

73.04

-274.13

283.85

18

556.45

-348.3

66.73

684.61

1129.2

19

138.26

-755.43

-192.07

1464.09

279.64

MZ(daN*m) 0 -0.05 -0.15 -0.13 -0.05 0.03 0.07 0.08 0.07 0.07 0 -0.09 -0.15 0.12 0.07 0.07 0.02 0.07 0.02 0 -0.09 -0.19 -0.16 -0.08 0 0.04 0.05 0.04 0.04 0 -0.22 -0.09 0.15 0.29 -0.18 -0.04 -0.18 -0.04 0 -0.04 0.03 0.09 0.11 0.04

-0.03 -0.04 -0.01 0.05 0 0 0.03 -0.02 0.01 -0.05 -0.01 -0.04 -0.01 0 -0.08 0 0.06 0.08 0.01 -0.06 -0.07 -0.04 0.02 0 0.14 0 -0.06 -0.19 0.17 0.04 0.17 0.04 0 -0.03 -0.01 0 0.03 0.07 0.13 0.17 0.15 0.01 0 -0.11 -0.1 0.07 0.08

-0.01 0 0.01 0.02 0 -0.06 -0.05 -0.03 -0.01 0.03 0.09 0.13 0.1 -0.03 0 -0.08 -0.09 0.11 0.1 0.01 0 -0.01 -0.02

h' 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 20.5 21 21.5 22 22.5 23 23.5 24 24.5 25 25.5 26 26.5 27 27.5 28 28.5 29 29.5 30 30.5 31 31.5 32 32.5

x 293.894711 -174114.323 -168899.239 -163521.458 -157980.23 -152274.804 -146404.431 -140368.36 -134165.842 -127796.127 -121258.465 -114552.105 -107676.297 -100630.293 -93413.3407 -86024.6914 -78463.5947 -70729.3006 -62821.0592 -54738.1204 -46479.7343 -38045.1508 -29433.62 -20644.3918 -11676.7162 -2529.8433 6796.97697 16304.4946 25993.4596 35864.6219 45918.7316 56156.5386 66578.793 77186.2448 87979.6439 98959.7403 110127.284 121483.025 133027.714 144762.1 156686.933 168802.964 181110.942 193611.617 206305.74 219194.06 232277.327

4090.07589 245404.553

h' 17.5 17.6 17.7 17.8 17.9 18 18.1 18.2 18.3 18.4 18.5 18.6 18.7 18.8 18.9 19 19.1 19.2 19.3 19.4 19.5 19.6 19.7 19.8 19.9 20 20.1 20.2 20.3 20.4 20.5 20.6 20.7 20.8 20.9 21 21.1 21.2 21.3 21.4 21.5 21.6 21.7 21.8 21.9 22

33 33.5 34 34.5 35 35.5 36 36.5 37 37.5 38 38.5 39 39.5 40 40.5 41 41.5 42 42.5 43 43.5 44 44.5 45 45.5 46 46.5 47 47.5 48 48.5 49 49.5 50 50.5 51 51.5 52 52.5 53 53.5 54 54.5 55 55.5 56

245556.292 259031.704 272704.313 286574.87 300644.124 314912.826 329381.724 344051.571 358923.114 373997.105 389274.294 404755.429 420441.262 436332.542 452430.02 468734.445 485246.568 501967.137 518896.905 536036.619 553387.031 570948.89 588722.947 606709.951 624910.652 643325.8 661956.146 680802.44 699865.43 719145.868 738644.504 758362.087 778299.367 798457.094 818836.019 839436.891 860260.461 881307.478 902578.692 924074.853 945796.712 967745.019 989920.522 1012323.97 1034956.12 1057817.72 1080909.51

22.1 22.2 22.3 22.4 22.5 22.6 22.7 22.8 22.9 23 23.1 23.2 23.3 23.4 23.5 23.6 23.7 23.8 23.9 24 24.1 24.2 24.3 24.4 24.5 24.6 24.7 24.8 24.9 25 25.1 25.2 25.3 25.4 25.5 25.6 25.7 25.8 25.9 26 26.1 26.2 26.3 26.4 26.5 26.6 26.7

56.5 57 57.5 58 58.5 59 59.5 60 60.5 61 61.5 62 62.5 63 63.5 64 64.5 65 65.5 66 66.5 67 67.5 68 68.5 69 69.5 70 70.5 71 71.5 72 72.5 73 73.5 74 74.5 75 75.5 76 76.5 77 77.5 78 78.5 79 79.5

1104232.25 1127786.69 1151573.57 1175593.66 1199847.69 1224336.41 1249060.59 1274020.96 1299218.28 1324653.3 1350326.76 1376239.42 1402392.03 1428785.34 1455420.09 1482297.04 1509416.94 1536780.53 1564388.58 1592241.82 1620341 1648686.89 1677280.22 1706121.75 1735212.23 1764552.4 1794143.02 1823984.84 1854078.61 1884425.07 1915024.98 1945879.09 1976988.15 2008352.9 2039974.1 2071852.5 2103988.85 2136383.89 2169038.38 2201953.07 2235128.7 2268566.03 2302265.81 2336228.79 2370455.71 2404947.33 2439704.4

26.8 26.9 27 27.1 27.2 27.3 27.4 27.5 27.6 27.7 27.8 27.9 28 28.1 28.2 28.3 28.4 28.5 28.6 28.7 28.8 28.9 29 29.1 29.2 29.3 29.4 29.5 29.6 29.7 29.8 29.9 30 30.1 30.2 30.3 30.4 30.5 30.6 30.7 30.8 30.9 31 31.1 31.2 31.3 31.4

80 80.5 81 81.5 82 82.5 83 83.5 84 84.5 85 85.5 86 86.5 87 87.5 88 88.5 89 89.5 90 90.5 91 91.5 92 92.5 93 93.5 94 94.5 95 95.5 96 96.5 97 97.5 98 98.5 99 99.5 100 100.5

2474727.67 2510017.88 2545575.79 2581402.15 2617497.71 2653863.21 2690499.41 2727407.06 2764586.9 2802039.69 2839766.18 2877767.12 2916043.26 2954595.34 2993424.12 3032530.34 3071914.77 3111578.14 3151521.21 3191744.72 3232249.44 3273036.1 3314105.45 3355458.26 3397095.26 3439017.21 3481224.86 3523718.95 3566500.25 3609569.49 3652927.42 3696574.81 3740512.39 3784740.92 3829261.14 3874073.82 3919179.69 3964579.51 4010274.02 4056263.99 4102550.15 4149133.25

31.5 31.6 31.7 31.8 31.9 32 32.1 32.2 32.3 32.4 32.5 32.6 32.7 32.8 32.9 33 33.1 33.2 33.3 33.4 33.5 33.6 33.7 33.8 33.9 34 34.1 34.2 34.3 34.4 34.5 34.6 34.7 34.8 34.9 35 35.1 35.2 35.3

h' -78463.5947 -76930.6157 -75390.7027 -73843.8499 -72290.0512 -70729.3006 -69161.5921 -67586.9197 -66005.2774 -64416.6593 -62821.0592 -61218.4712 -59608.8894 -57992.3076 -56368.72 -54738.1204 -53100.503 -51455.8616 -49804.1904 -48145.4833 -46479.7343 -44806.9374 -43127.0866 -41440.1759 -39746.1993 -38045.1508 -36337.0244 -34621.8141 -32899.514 -31170.1179 -29433.62 -27690.0141 -25939.2944 -24181.4547 -22416.4892 -20644.3918 -18865.1564 -17078.7772 -15285.2481 -13484.5631 -11676.7162 -9861.70141 -8039.51272 -6210.14414 -4373.58967 -2529.8433

h' 22.1311 22.1312 22.1313 22.1314 22.1315 22.1316 22.1317 22.1318 22.1319 22.132 22.1321 22.1322 22.1323 22.1324 22.1325 22.1326 22.1327 22.1328 22.1329 22.133 22.1331 22.1332 22.1333 22.1334 22.1335 22.1336 22.1337 22.1338 22.1339 22.134 22.1341 22.1342 22.1343 22.1344 22.1345 22.1346 22.1347 22.1348 22.1349 22.135 22.1351 22.1352 22.1353 22.1354 22.1355 22.1356

-101.787057 -99.9302672 -98.0734704 -96.2166665 -94.3598554 -92.503037 -90.6462115 -88.7893787 -86.9325388 -85.0756916 -83.2188373 -81.3619757 -79.5051069 -77.6482309 -75.7913477 -73.9344573 -72.0775597 -70.2206549 -68.3637429 -66.5068237 -64.6498973 -62.7929636 -60.9360228 -59.0790747 -57.2221195 -55.365157 -53.5081874 -51.6512105 -49.7942264 -47.9372351 -46.0802367 -44.223231 -42.3662181 -40.509198 -38.6521707 -36.7951361 -34.9380944 -33.0810455 -31.2239894 -29.366926 -27.5098555 -25.6527777 -23.7956928 -21.9386006 -20.0815012 -18.2243947

h' 17.9161 17.9162 17.9163 17.9164 17.9165 17.9166 17.9167 17.9168 17.9169 17.917 17.9171 17.9172 17.9173 17.9174 17.9175 17.9176 17.9177 17.9178 17.9179 17.918 17.9181 17.9182 17.9183 17.9184 17.9185 17.9186 17.9187 17.9188 17.9189 17.919 17.9191 17.9192 17.9193 17.9194 17.9195 17.9196 17.9197 17.9198 17.9199 17.92 17.9201 17.9202 17.9203 17.9204

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17.91671 17.91672 17.91673 17.91674 17.91675 17.91676 17.91677 17.91678 17.91679 17.9168 17.91681 17.91682 17.91683 17.91684 17.91685 17.91686 17.91687 17.91688 17.91689 17.9169 17.91691 17.91692 17.91693 17.91694 17.91695 17.91696 17.91697 17.91698 17.91699 17.917 17.91701 17.91702 17.91703 17.91704 17.91705 17.91706 17.91707 17.91708 17.91709 17.9171 17.91711 17.91712 17.91713 17.91714 17.91715 17.91716

-72029.7337 -72029.5779 -72029.422 -72029.2662 -72029.1104 -72028.9545 -72028.7987 -72028.6428 -72028.487 -72028.3311 -72028.1753 -72028.0194 -72027.8636 -72027.7078 -72027.5519 -72027.3961 -72027.2402 -72027.0844 -72026.9285 -72026.7727 -72026.6168 -72026.461 -72026.3052 -72026.1493 -72025.9935 -72025.8376 -72025.6818 -72025.5259 -72025.3701 -72025.2142 -72025.0584 -72024.9025 -72024.7467 -72024.5909 -72024.435 -72024.2792 -72024.1233 -72023.9675 -72023.8116 -72023.6558 -72023.4999 -72023.3441 -72023.1882 -72023.0324 -72022.8765 -72022.7207

-678.899031 1179.24913 3044.60718 4917.18113 6796.97697 8684.0007 10578.2583 12479.7559 14388.4993 16304.4946 18227.7478 20158.2649 22096.0519 24041.1148 25993.4596 27953.0922 29920.0188 31894.2453 33875.7776 35864.6219 37860.784 39864.2701 41875.086 43893.2379 45918.7316 47951.5732 49991.7687 52039.3241 54094.2454 56156.5386 58226.2097 60303.2647 62387.7096 64479.5504 66578.793 68685.4436 70799.508 72920.9924 75049.9026 77186.2448 79330.0248 81481.2487 83639.9226 85806.0523 87979.6439 90160.7034 92349.2368

22.1357 22.1358 22.1359 22.136 22.1361 22.1362 22.1363 22.1364 22.1365 22.1366 22.1367 22.1368 22.1369 22.137 22.1371 22.1372 22.1373 22.1374 22.1375 22.1376 22.1377 22.1378 22.1379 22.138 22.1381 22.1382 22.1383 22.1384 22.1385 22.1386 22.1387 22.1388 22.1389 22.139 22.1391 22.1392 22.1393 22.1394 22.1395 22.1396 22.1397 22.1398 22.1399 22.14 22.1401 22.1402 22.1403

-16.3672809 -14.5101599 -12.6530317 -10.7958963 -8.9387537 -7.08160389 -5.22444687 -3.36728265 -1.51011122 0.34706742 2.20425326 4.06144631 5.91864656 7.77585402 9.63306869 11.4902906 13.3475196 15.2047559 17.0619994 18.9192501 20.776508 22.6337731 24.4910454 26.348325 28.2056117 30.0629056 31.9202068 33.7775151 35.6348307 37.4921534 39.3494834 41.2068206 43.0641649 44.9215165 46.7788753 48.6362413 50.4936145 52.3509949 54.2083825 56.0657773 57.9231794 59.7805886 61.638005 63.4954287 65.3528595 67.2102976 69.0677429

17.91717 17.91718 17.91719 17.9172 17.91721 17.91722 17.91723 17.91724 17.91725 17.91726 17.91727 17.91728 17.91729 17.9173 17.91731 17.91732 17.91733 17.91734 17.91735 17.91736 17.91737 17.91738 17.91739 17.9174 17.91741 17.91742 17.91743 17.91744 17.91745 17.91746 17.91747 17.91748 17.91749 17.9175 17.91751 17.91752 17.91753 17.91754 17.91755 17.91756 17.91757 17.91758 17.91759 17.9176 17.91761 17.91762 17.91763

-72022.5649 -72022.409 -72022.2532 -72022.0973 -72021.9415 -72021.7856 -72021.6298 -72021.4739 -72021.3181 -72021.1622 -72021.0064 -72020.8505 -72020.6947 -72020.5388 -72020.383 -72020.2271 -72020.0713 -72019.9154 -72019.7596 -72019.6038 -72019.4479 -72019.2921 -72019.1362 -72018.9804 -72018.8245 -72018.6687 -72018.5128 -72018.357 -72018.2011 -72018.0453 -72017.8894 -72017.7336 -72017.5777 -72017.4219 -72017.266 -72017.1102 -72016.9543 -72016.7985 -72016.6426 -72016.4868 -72016.3309 -72016.1751 -72016.0192 -72015.8634 -72015.7075 -72015.5517 -72015.3958

94545.2501 96748.7493 98959.7403 101178.229 103404.222 105637.725 107878.744 110127.284 112383.353 114646.955 116918.097 119196.785 121483.025 123776.823 126078.185 128387.117 130703.624 133027.714 135359.391 137698.663 140045.534 142400.011 144762.1 147131.807 149509.137 151894.098 154286.695 156686.933 159094.819 161510.36 163933.56 166364.426 168802.964 171249.179 173703.079 176164.669 178633.954 181110.942 183595.637 186088.046 188588.175 191096.03 193611.617 196134.942 198666.01 201204.829 203751.403

22.1404 22.1405 22.1406 22.1407 22.1408 22.1409 22.141 22.1411 22.1412 22.1413 22.1414 22.1415 22.1416 22.1417 22.1418 22.1419 22.142 22.1421 22.1422 22.1423 22.1424 22.1425 22.1426 22.1427 22.1428 22.1429 22.143 22.1431 22.1432 22.1433 22.1434 22.1435 22.1436 22.1437 22.1438 22.1439 22.144 22.1441 22.1442 22.1443 22.1444 22.1445 22.1446 22.1447 22.1448 22.1449 22.145

70.9251953 72.782655 74.6401219 76.497596 78.3550773 80.2125658 82.0700615 83.9275644 85.7850745 87.6425919 89.5001164 91.3576481 93.2151871 95.0727332 96.9302866 98.7878472 100.645415 102.50299 104.360572 106.218162 108.075758 109.933362 111.790973 113.648591 115.506217 117.363849 119.221489 121.079136 122.93679 124.794452 126.65212 128.509796 130.367479 132.22517 134.082867 135.940572 137.798284 139.656003 141.513729 143.371463 145.229203 147.086951 148.944707 150.802469 152.660238 154.518015 156.375799

17.91764 17.91765 17.91766 17.91767 17.91768 17.91769 17.9177 17.91771 17.91772 17.91773 17.91774 17.91775 17.91776 17.91777 17.91778 17.91779 17.9178 17.91781 17.91782 17.91783 17.91784 17.91785 17.91786 17.91787 17.91788 17.91789 17.9179 17.91791 17.91792 17.91793 17.91794 17.91795 17.91796 17.91797 17.91798 17.91799 17.918 17.91801 17.91802 17.91803 17.91804 17.91805 17.91806 17.91807 17.91808 17.91809 17.9181

-72015.24 -72015.0841 -72014.9283 -72014.7724 -72014.6166 -72014.4607 -72014.3049 -72014.149 -72013.9932 -72013.8373 -72013.6815 -72013.5256 -72013.3698 -72013.2139 -72013.0581 -72012.9022 -72012.7464 -72012.5905 -72012.4347 -72012.2788 -72012.123 -72011.9671 -72011.8113 -72011.6554 -72011.4996 -72011.3437 -72011.1879 -72011.032 -72010.8762 -72010.7203 -72010.5644 -72010.4086 -72010.2527 -72010.0969 -72009.941 -72009.7852 -72009.6293 -72009.4735 -72009.3176 -72009.1618 -72009.0059 -72008.8501 -72008.6942 -72008.5384 -72008.3825 -72008.2267 -72008.0708

206305.74 208867.844 211437.722 214015.38 216600.824 219194.06 221795.093 224403.931 227020.578 229645.042 232277.327 234917.44 237565.387 240221.174 242884.807 245556.292 248235.634 250922.841 253617.917 256320.87 259031.704 261750.426 264477.042 267211.558 269953.979 272704.313 275462.565 278228.74 281002.846 283784.887 286574.87 289372.801 292178.686 294992.531 297814.342 300644.124 303481.885 306327.629 309181.363

22.1451 22.1452 22.1453 22.1454 22.1455 22.1456 22.1457 22.1458 22.1459 22.146 22.1461 22.1462 22.1463 22.1464 22.1465 22.1466 22.1467 22.1468 22.1469 22.147 22.1471 22.1472 22.1473 22.1474 22.1475 22.1476 22.1477 22.1478 22.1479 22.148 22.1481 22.1482 22.1483 22.1484 22.1485 22.1486 22.1487 22.1488 22.1489

158.23359 160.091389 161.949194 163.807007 165.664827 167.522654 169.380489 171.23833 173.096179 174.954035 176.811898 178.669769 180.527647 182.385531 184.243423 186.101323 187.959229 189.817143 191.675064 193.532992 195.390927 197.24887 199.106819 200.964776 202.822741 204.680712 206.53869 208.396676 210.254669 212.112669 213.970677 215.828691 217.686713 219.544742 221.402778 223.260822 225.118872 226.97693 228.834995

17.91811 17.91812 17.91813 17.91814 17.91815 17.91816 17.91817 17.91818 17.91819 17.9182 17.91821 17.91822 17.91823 17.91824 17.91825 17.91826 17.91827 17.91828 17.91829 17.9183 17.91831 17.91832 17.91833 17.91834 17.91835 17.91836 17.91837 17.91838 17.91839 17.9184 17.91841 17.91842 17.91843 17.91844 17.91845 17.91846 17.91847 17.91848 17.91849

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134.354687 34.2024682