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Tafel fur 70 Normklotoiden mit runden Parametern A
enthaltend auf 50 Seiten die Bogenlängen L, die Tangentenwinkel t in neuer und alter Winkelteilung, die Tangentenabrückungen AR, die Abszissen der Krümmungsmittelpunkte XM , die rechtwinkeligen Koordinaten X und Y , sowie die kurzen und .langen Tangenten TK und TL für 72 genormte runde Krüm- mungshalbmesser R von A = 1 5 bis A = 3000.
Table for 70 Standard Clothoids with integer Parameters A
containing on 50 pages the curve lengths L; the tangent angles t in centesimal and sexagesimal degrees; the tangent shifts AR; the abscissae of the centers of curvature X,; the cartesian coordinates,X and Y ; and the short and long tangents TK and TL for 72 standardized integer radii of curvature R from A =I5 to A =)000.
Anmerkung. Obwohl Klotoiden mit AR < 0,) kaum Note. Although clothoids with AR < 0.) are angewendet werden, sind für jede Normklotoide auch hardly used, a few values with smaller AR are given einige Tastwerte mit kleinerem AR angegeben, damit for every standard clothoid to demonstrate to the der Tafelbenützer jeweils sieht, in welchem Maß die User of the table the rate at which the tangent shifts Tangentenabrückungen AR von Null weg wachsen AR increase from Zero, and the rate at which the bzw. in welchem Maße sich die weiteren Werte von other values separate from the practically feasible. den praktisch benutzbaren entfernen.
Table de 70 clothoides standards de paramores entiers A
comprenant 50 pages et contenant : les longueurs de raccordement L, les angles t de la tangente en degres et en grades, les decalages AR de la tangente, les abscisses X, du point milieu des courbes de raccorde- ment, les coordonnees rectangulaires X et Y , les Segments courts et longs des tangentes T, et TL pour 72 rayons de courbure standards R dont le parametre A varie entre A = 1 5 et A = 3000.
Remarque. Quoique les clothoides de valeurs AR < O,g ne soient guere utilisees, on a donne pour chaque clothoide standard quelques. valeurs de AR
'
tres petites, afin de permettre i l'utilisateur de Se rendre compte de l'accroissement des decalages AR i partir de zero, ainsi que des ecarts par rapport aux
V valeurs utilisees dans la pratique.
Tabla Para 70 clotoides-estandarizadas tipo de parametros enteros A
comprende 50 piginas y contiene: las longitudes de arco L, los angulos t de la tangente en grados centesimales y sexagesimales, los retranqueos AR de la tangente, las abscisas X, de los centros de curva- tura, las coordenadas rectangulares X e Y , las tan- gentes cortas y largas T, y TL Para 72 radios de curvatura estandarizados R, cuyo parimetro varia entre A =15 y A =).000.
Nota. Aunque las clotoides de valores de AR < 0,3 no se utilizan apenas, se ha dado Para cada clotoide tipo algunos valores de AR muy pequefios, Para que el usuario puedadarse cuenta del crecimiento de los retranqueos AR a partir de cero, asi como de las desviaciones con relacibn a los valores que se utilizan en la practica. УЧ
ЕБНА
ВЕРСИЯ
Fortsetzung A = 25
L
25,000 31,250 41,667 44,643
K = = 169,765 6 A2
R AR P-
31,831 49,736 88,419 101,502
28 38 52
44 45 44 79 34 39 91 21 06
I I
25 20
15 14
PP
1,032 1.991 4,504 5,421
УЧЕБНА
ВЕРСИЯ
УЧЕБНА
ВЕРСИЯ
18 Kasper-Schürba-Lorenz, Die Klotoide als Trassierungselement (5. A.) (Fortsetzung nächste Seite) 153
- A
A2 = 2500 L = 0,020 000 000 A A = 50
L
12,500 16,667 20,000
20,833
22,727 25,000 26,316
27,778
29,412 31,250 33,333 35,714
38,462 41,667 45,455 50,000
55,555 62,500
71,429 83,333
IOO,OOO
pcc K = = 42,441 3
X
12,499 16,662
19,987 20,818
22,703 24,961 26,265 27,712
29,324 31,131 33,169 35.483
38,126 41.167 44,685 48.764
53.476 58.792 64.341 68,632
66,760
-cB
1,989 3.537 5.093 5,526
6,577 7,958 8,817 9,824
11,014
12,434 14,147 16,240
18,835 22,105 26,307 31,831
39,298 49,736 64,961 88,419
127,324
L
12,500 16,667 20,000
20.833
22,727 25,000 26,316
27.778
20,412 31,250 33,333 35,714
38,462 41,667 45.455 50,000
55,555 62,500 71,429 83,333
IOO,OOO
TO
I 47 26 3 10 59 4 3 5 0 1 4 58 25
5 55 08 7 09 43 7 56 08 8 50 31
g 54 46 11 11 26
1 2 4 3 5 7 I4 U 59
1 6 5 7 0 5 19 53 40 23 40 33 28 38 52
35 22 04 44 45 44 58 27 54 79 34 39
114 35 30
Y
0,130 0.309 0,533 0.603
0,782 1,041 1,213 1,426
1,693 2,029 2,4f~0 3,023
3.769 4,781 6,185 8,186
11,124 15,580 22,547 33,580
49,881
I3
zoo
150 125 120
110
100
95 90
Y5 80
75 70
65 60
55 50
45 40 35 30
25
T~
4.167 5,557 6,671 6,949
7,584 8,346 8,788 9,280
3,832 10,455 11,164 11,973
12,928 14,050 15,402 17,074
19,218 22,126
26,454 34,143
54,857
T~
8.334 11,113
13,338 13,894
15,160 16,680 17,562 18,542
13,639 20,875 22,2Q0
23,891
25,760 27,955 30,579 33.781
37,804 43,082 50.505 62,455
89,588
AR
0,033 0,077 0,133 0,151
0,196 0.260
0,304 0,357
0,424 0,508 0,616
0,757
0,945 1,200
1,556 2,065
2,819 3,981 5,853 9,007
14,478
- y . ~ ~
6,250 8,332 9,998
10,414
11,360 12,494 13,150 13,878
14,691 15.605 16,639 17,819
19,175 20,750 22,599 24,793
27,429 30.625 34,510 39,127
44,027
УЧЕБНА
ВЕРСИЯ
154 (Fortsetzung nächste Seite)
Fortsetzung A = 55
70
28 38 52 34 39 50 42 47 42 54 09 45
70 44 34 96 17 19
L
55,000 60,500 67,222 75,625
86,429 100,833
pcc K = - = 35,075 5 6 A2
A2 = 3600 = 0,016 666 667 A = 60
T~
37,159 41,135 46.198 52,998
63.013 80.922
T K
18.781 20,897 23,671 27,571
33.770 46.344
x n ~
27,272 29.885 32,996 36.714
41,109 46.026
~ I , S ~ I 38,516 47,550 60,180
78,603 106,987
R
55 50 45 40
I
X Y L
55,000 60,500 67,222 75.625
86,429 100.833
AR
2,271 3,011 4,102 5.771
53,641 58,323 63,568 69.141
74.151 5
L
12,000 14,400 18,000
-24,000
25.714 27,692 28,800 30,000
32.727 36,000 37.895 40,0°0
42.353 45,000 48,000 51,429
55,385 60,000 651455 72,000
80,000 90.000
102,857 I~o,ooo
8,424 1 I
9.004 11,886 16,081 22,351
31,881 16.065
Y
0,080 0,138 0,270 0,640
0.787 0,982 1,105 1,249
1.620
2,155 2,512 2,953
3,502 4,195 5,083 6,237
7,764 9,823
12,658 16,651
22,399 30,819 43,124 59.857
x
12,000 14,399 17,996 23,985
25,693 27,661 28,762 29,953
32.655 35,884 37,744 39,803
42,091 44,645 47,511 50,739
54,388 58,517
. 63,175 68,356
73.906 79.258 82,762 80,112
L
12,000 14,400 18,000 24,000
25,714 27,692 28,800 30,000
32,727 36,000 37,895 40,000
42,353 45,000 48,000 51,429
55.385 60,000 65,455 72,000
80,000 go,ooo
102,857 120,000
K=--- - 29,473 1 6 A2
A2 = 4225 I = 0,015 384 615 A A=6S -
L
14,083 16,900 21,125
7s
1,273 1.833 2,865 5,093
5,847 6,781 7,334 7,958
9,470 11,459 12,737 14,147
15,860 17,905 20,372 23,386
27,122 31,831 37,882 45,837
56,588 71,620 93,544
127,324
TI{ 1 4,000 4,800 6,001 8,005
8,578 9,241 9,612
10,015
10,932 12,037 12,680 13.396
14,202 15,114 16,158 17,366
18,787 20,489 22,582 25,252
28,851 34.157 43,346 65,828
-
1,494 2,152 3,362
TO
I 08 45 I 39 oo 2 34 42 4 35 01
5 15 43 6 06 og 6 36 02
7 09 43
8 31 24 10 18 48 11 25 39 1 2 43 57
14 16 28 16 06 52 18 20 05 21 02 51
24 24 36 28 38 52
34 05 36 41 15 11
50 55 46 64 27 28 84 11 23
I14 35 30
8,000 9,600
12,001 16,005
17.150 18,473 19,213 20,016
21.844 24,041 25.316 26,736
28,328 30,125 32,173 34,531
37,280 40,537 44,474 49.372
55,722 64.530 78,374
107,506
TO
I 20 42 I 56 12
3 01 33
x n ~
6,000 7.200 8.999
11,997
12,854 13,841 14,394 14,992
16,352 17,981 18,922 79,967
21,133 22,441 23,918 25.599
27,526 29.752 32.345 35.387
38,969 43,167 47,942 52,833
R
300 250 200
150
140 130 125 120
110
100
95 90
85 80
75 70
65 60 55 50
45 40 35 30
AR
0,020
0,035 0,068 0,160
0,197 0,246 0,276 0,312
0,405 0,539 0,629 0,739
0,877 1,052 1,275 1,567
1,954 2,478 3.205 4,241
5,761 8,066
11,667 17,373
X
14,083 16,898 21,119
xlci
7,042 8,450
10,562
lt 1 AR
300 250 200
Y
0,110 0,190 0,372
0,028 0.048 0.093
T~
4,695 5,634 7,044
T~
9,389 11,267 14,085
L
14,083 16,900 21,125
УЧЕБНА
ВЕРСИЯ
(Fortsetzufig tgächste Seite) 155
Fortsetzung A = 65
L
24,853 26,406 28,167 30, I79
32,500 33,800 35,208 38,409
42,250 44,474 46.944 49,706
52,813 56,333 60,357 65,000
70,417 76,818 84,500 93,889
105,625 120,714
K = = 25,113 2 6 A2
R
170 160 150 140
130 125 120
110
100
95 90 85
80 75 70 65
60 55 50 45
40 35
T~
4,654 5,253 5,977 6,862
7,958 8,607 9,339
11,115
13,449 14,902 16,603 18,614
21.013 23,909 27,446 31,831
37,357 44,458 53,794 66,413
84.054 109,784
TO
4 11 17 4 43 41 5 22 46 6 10 31
7 09 43 7 44 47 8 24 I9
10 00 11
12 06 I3 13 24 41 14 56 34 16 45 og
18 54 44 21 31 04
24 42 05 28 38 52
33 37 17 40 00 44 48 24 54 59 46 17
75 38 54 98 48 22
L
24,853 26,406 28,167 30,179
32,500 33,800 35,208 38.409
42,250 443474 46,944 49,706
52.813 56,333 60.357 65,000
7Oi4I7 763818 841500 93,889
105.625 120,714
AR
0,151 0,182 0,220 0,271
0,338 0,381 0,430 0,558
0,743 0,866 1,018 1,207
1,447 1.754 2,154 2.684
3,401 4.393 5,801 7.852
10,924 15,617
X
24,840 26,388 28,142 30,144
32,449 33.738 353133 38,292
42,062 44,237 46,626
49,283
52,240 55,544 59.245 63,394
68,030 73.155 78,663 84,173
88,640 89,432
=M
12,424 13,200 14,079 15,083
16,242 16,890 17,592 19,185
21,094 22,196 23,419 24,782
26,311 28.035 29,993 32,231
34,808 37.793 41,264 45,292
49,888 54.845
Y
0,605 0,726 0,881 1,083
1.353 1.521 1,719 2,230
2,966 3.456 4.061 4,815
5.766 6,981 8.559
10,641
13,439 17,269 22,614 30.197
41,009 55.975
T,
8,289 8,808 9,397
10.071
10,849 11.286 11,760 12,840
14,143 14,902 15,750 16,705
17.789 19.034 20,482 22,196
24,270 26,858 30,234 34,949
42,330 56,643
16.573 17,610 18,786 20,131
21,684 22,555 23,499 25,647
28,233 29,735 31,409 33.287
35,411 37,837 40,637 43,915
4 7 ~ ~ ~ 0 52,585 58,595 66,578
78.147 98,104
УЧЕБНА
ВЕРСИЯ
Fortsetzung A = 70
CC
K = & = 21,653 7
25,962 28,483 31,687 35,982
42,253
L
75,385 81,667 89,091 98,000
108,889
x~
37,274 40,211 43,589 47,473
51,893 56,763 52.846 1 94,642 ( 122.500
T~
51,171 55.827 61,572 68,954
79,073
L
75,385 81,667 89,091 98.000
108,889
122.500 1 97.482 1 87 44 03
,rg
36,916 43,326 51,56r 62,389
77,023
72,889 77,964 83,422 88,997
93,994 96,732
40 1 14,386
T O
33 13 29 38 59 35 46 24 17 56 09.00
69 19 15
R 1 AR
14,225 17,922 22,948 29,883
39.531 52.804
65 60
55 50
45
3,599 4,556 5,874 7,734
10,422
УЧЕБНА
ВЕРСИЯ
(Fortsetzung nächste Seite) 15r
УЧЕБНА
ВЕРСИЯ
A2 = 10 000 ' = 0,010 000 000 A A = 100
L T~ T O R AR x~ X Y T, T~ L
16,667 0,8842 o 47 45 600 o,org 8,333 16,666 0,077 5,556 11,111 16,667 20,000 1,2732 I 08 45 500 0,033 10,000 19,999 0,133 6.667 13.334 2oiooo 25,000 1,9894 I 47 26 400 0,065 12,500 24,998 0,260 8,334 16.668 25,000 33,333 3,5368 3 10 59 ,. 300 0.154 16,665 33.323 0,617 11,114 22,226 33.333
36,364 4,2091 3 47 17 275 0,200 18,179 36,348 0,801 12,126 24,248 36,364 40,000 5.0930 4 35 01 250 0.267 19.996 39,974 1,066 13,342 26,676 40.000 44,444 6,2876 5 39 32 225 0,366 22,215 44,401 1,462 14.829 29.645 44,444 50,000 7,9578 7 09 43 200 0,521 24,987 49,922 2,081 16,692 33.361 50,000
52,632 - 8,8175 7 56 09 190 0,607 26,299 52,531 2.427 17,576 35.123 52,632 55.556 9,8244 8 50 31 180 0,714 27,756 55,423 2,853 18.561 37.083 55,556 57.143 10,3938 9 21 16 175 0,777 28,546 56,991 3,104 19,096 38.149 57.143 58,824 11,0142 3 54 46 170 0,847 29,382 58,648 3,385 19.664 39,277 58,824
62,500 12,4340 11 11 26 160 1,016 31,210 62,262 4,058 20,909 41,750 62.500' 66,667 14,1471 12 43 57 150 1,232 33.279 66,338 4,921 22.327 44,560 66,667 71,429 16,2403 1 4 3 6 5 9 140 1,515 35.637 70.965 6,046 23.958 47,782 71,429 76,923 18,8349 16 57 05 130 1,891 38,350 76,252 7,539 25.857 51,519 76,923
80,000 20,3718 18 20 05 125 2,126 39,864 79,185 8.471 26.930 53,622 80,000 83,333 22,1048 19 53 40 120 2,401 41,500 82.334 9,562 28,101 55,911 $3.333 90,909 26,3066 23 40 33 I I O 3.111 45,197 89.369 12,370 30,805 61,157 90,909
roo,ooo 31,8310 28 38 52 roo 4,130 49,586 97,529 16,371 34,148 67.561 Ioo,ooo
105,263 35,2698 31 44 34 95 4,807 52,098 102,078 19,017 36,147 71.338 105,263 TII,III 39.2975 35 22 04 90 5,638 54,857 106,951 22,248 38,436 75.609 IIIiIII
117,647 44,0568 39 39 04 85 6,670 57,897 112,136 26,225 41,097 80,494 117,647 125,000 49,7359 44 45 44 80 7,963 61,250 117,583 31,160 44,251 86,163 125,000
-
Fortsetzung A = 90
(Fortsetzung nächste Seite) .
K=P- „, - 13,099 2
T~
18,056 19,364 20,884 21,739
22,671 24,810 27,429 28.978
30,733 32.747 35,093 37,878
41,271 45,553 51,236 59,365 72.477
L
54,000 57,857 62,308 64,800
67,500 73,636 81,000 85,263
go,ooo 95,294
101,250 108,000
115,714 124,615 135,000 147,273 I62,000
+'
10 18 47 11 50 21
13 43 50 14 51 04
16 06 52 19 10 39 23 12 17 25 42 42
28 38 52 32 07 03 36 15 27 41 15 11
47 21 24 54 55 21 64 27 28 76 42 36 92 49 09
TO
11,459 13.155 15,256 16,501
17,905 21,308 25.783 28,569
31,831 35,686 40,286 45,837
52,619 61,025 71,620 85,233
103,132
T,
36,061 38.658 41,664 43.353
45.188 49,382 54.471 57,453
60,805 64,608 68.972 74.057
80.097 87,463 96,795
109,330 127,913
L
54,000 57,857 62,398 64,800
67,500 73.636 81,000 85,263
90,000 95.294
101.250 108,000
115,714 124,615 135,ooo 147,273 162,000
R
150 140 130 125
120
I I O
IOO
95
90 85 80 75
70 65 60 55 50
AR
0,809 0,995 1,242 1,396
1,578 2,046 2,718 3,166
3,717 4,402 5.264 6,361
7,778 9.634
12,099 15,418 19,930
X
53.825 57,611 61,951 64,366
66,968 72,816 79,681 83.562
87.776 92.343 97,270
102,534
108,055 113,642 118,886 122,976 124,348
x~
26,971 28,887 31,094 32,328
33,661 36,681 40,280 45,513
44,628 47,152 49,957 53,080
56,564 60.447 64.750 69,449 74,409
CC
Y
3,233 3.973 4,957 5,572
6,292 8,150
10,808 12,572
14,734 17,410 20,754 24,976
30.358 37,280 46,229 57,775 72,390
УЧЕБНА
ВЕРСИЯ
Fortsetzung A = 100
L
133,333 142,857 153,846 166,667
L
133.333 142.857 153,846 166,667
181,818
r g
56,5884 64,9612 75,3397 88,4195
K = = 10,610 33 6 A2
105,2264
Y
37,332 45,095 54.882 67,160
.rO
50 55 46 58 27 54 67 48 21
79 34 39
AR
9.602 11,706 14.435 18,014
R
75 70 65 60
82,247 138,046
T~
48,085 52,908 59,274 68,287
94 42 14
x~
64,949 69,020 73,469 78,253
T,
92,870 IOI,OII
. 111,262 124,910
55 1 22,737 1 83,231
X
123,177 128,682 133,653 137,263
82,525 144,813 I 181,818
УЧЕБНА
ВЕРСИЯ
(Fortsetzuizg ~zächste Seite) .
УЧЕБНА
ВЕРСИЯ
(Fortsetzung nächste Seite) 161
Fortsetzung A = 125
L
78,125 82,237 86,806 89,286
91,912 97,656
104,167 111,607
120,1gz 125,000 130,208 142,046
156,250 164,474 173,611 183,824
195,313 208,333 223.214
K = = 6,790 61 6 A2
TO
11 11 26 12 23 59 13 48 56 14 36 59
15 29 19 17 29 07 19 53 40 22 50 17
26 29 12
28 38 52 31 05 06 36 59 37
44 45 44 49 35 33 55 15 44 61 57 17
69 56 28
.79 34 39 91 2106
T~
12,4340 13,7773 15,3506 16,2403
17,2097 19,4281 22,1048 25,3755
29,4295 31,8310 34,5389 41,1041
49,7359 55,1091 61,4024 68,8386
77,7124 88,4195
101,501g
R
200
190 180 175
170 160 150 140
130 I25 120
110
100
95 90 85
80
75 70
AR
1,270 1,481 1,741 1.894
2,065 2,475 3,001 3,686
4,595 5,162 5,825 7,530
9.954 11,552 13,500 15,889
18,844 22,518 27,105
L <
78,125 82,237 86,806 89.286
91,912 97,656
104.1.67 111~607
120,192 125,000 130,208 142,046
156,250 1647474 173,611 153,824
195.313 208~333 223,214
X 1 l ~
39.013 41,054 43,319 44,546
45,844 48,677 51,875 55,509
59,671 61,983 64,471 70,047
76,562 80,225 84,182 88,444
93,002 97,817
102,791
X
77,828 81,853 86,302 88,706
91,242 96.751
102,918 109,847
117.649 121,911 126,428 136,237
146,979 152,569 158,141 163,463
168,149 171,579 172,771
1 T~ Y
5,072 5,913 6,948 7,557
8,239 9,866
11,953 14,661
18,240 20,464 23,057 29,673
38,950 44,978 52,215 60,925
71,405 83,950 98,757
26.137 27,535 29,096 29,948
30,852 32,844 35,126 37.775
40,898 42,685 44,658 49,313
55.314 5 9 ~ 0 ~ 4 63.540 69,031
76,016 85,358 98,784
52,188 54,960 58,048 59,728
61,511 65,425 69,888 75,034
81,044 84,451 88,183 96,851
107,704 114.~87 121,935 131,007
142,077 156,137 175,101
УЧЕБНА
ВЕРСИЯ
Fortsetzung A = 130
L
120,714 130,ooo 135,200 140.833
153.636 169,000 177,895 187.778
198,824 211,250 225,333 241,429
K=-- pCC - 6,278 30 6 A"
G'
27,4461 31,8310 34,4284 37,3572
44,4582 53,7944 59,6059 66,4128
74.4559 84,0537 95,6344
109,7814
X
118,490 126,787 131,299 136,061
146,311 157,325 162,920 168,346
173.296 177,280 179,527 178,864
T,
40,964 44,392 46,361 48,541
53,717 60,468 64,740 69.898
76,322 84,660 96,127
113,285
Y
17,119 21,283 23,868 26.877
34.537 45,228 52,139 60,394
70,260 82,018 952902
111,950
TO
24 42 05 28 38 52 30 59 08 33 37 17
40 00 45 48 24 54 53 38 43 59 46 17
67 00 37 75 38 54 86 04 15 98 48 22
Y',
81,274 87,829 91,554 95,640
105,169 117,191 124,543 133,156
143,488 156,295 172,941 196,207
R
140 130 125 120
110
100
95 90
85 80
75 70
L
120,714 130,000 135,200 140.833
153,636 169,000 177,895 187,778
198,824 211,250 225,333 241,429
AR
4,308 5,369 6,030 6,803
8,787 11,601 13,453 15,704
18,458 21,848 26,041
31,234
X ,
59.985 64,462 66,946 69,616
75,586 82,528 83,811 90,584
95.047 99,776
104,704 109,690
УЧЕБНА
ВЕРСИЯ
Fortsetzung A = 140
K = = 5,413 43 6A2
A2 = 22 500 I = 0,006 666 667 A A = 150
L 78 T O R AR XM X Y T~ T~ L
28,125 1,1191 I 00 26 800 0,041 14,062 28,124 0,165 9,375 18.751 28,125 32,143 1,4616 I 18 56 700 0,061 16,071 32,141 0,246 10,715 21,429 32,143 37,500 1,9894 I 47 26 600 0,098 18,749 37,496 0,391 12,501 25,001 37,500
45,000 2,8648 2 34 42 500 0,169 22,499 44,991 0,675 15,003 30,003 45,000 47,368 3,1743 2 51 25 475 0.197 23,682 47.357 0,787 15.793 31,583 47,368 50,000 3.5368 3 10 59 450 0,232 24,997 49,985 0,926 16,671 33.339 50,000 52,941 3,9651 3 34 07 425 0,275 26,467 52,921 1,099 17,654 35.301 52,941
56,250 4,4762 4 01 43 400 0.330 28.120 56,222 1,318 18,759 37,510 56.250 ~O.OOO 5,0930 4 35 01 375 S,400 29,994 59,962 1.599 20,012 40,013 ~ , O O O 64,286 5.8465 5 15 43 350 0,492 32,134 64,232 1.967 21,446 42.876 64,286 69,231 6,7806 6 06 09 325 0,614 34,602 69,152 2,456 23.102 46,181 69,231
75,000 7,9578 7 09 43 . 300 0.781 37.481 74,883 3,122 25,037 50,041 75,000 81,818 9,4704 8 31 24 275 1.014 40.879 81.637 4,051 27,330 54,609 81,818 go,ooo 11,4592 10 18 48 250 1,349 44.951 89,709 5,388 30,093 60,102 90,000
~oo,ooo 14,1471 12 43 57 225 1,849 49,918 99,507 7,381 33,491 66.840 Ioo,ooo
112,500 17,9049 16 06 52 200 2,629 56,102 111,613 10,487 37,785 75,313 112,500 118,421 19,8393 17 51 19 190 3,065 59.019 117,276 12,216 39,842 79,353 118,421 125,000 22,1048 19 53 40 180 3,601 62,250 T23,5OI 14,343 42,151 83,866 125,000
128,571 23,386i 21 02 51 175 3.917 63,998 126,847 15.592 43,416 86,328 128,571
132,353 24,'7819 22 18 13 170 4,270 65,844 130,361 16,989 44,764 88,946 132.353 140,625 27,9765 25 10 44 160 5.115 69,862 137.933 20.317 47.755 94,716 140.625 150,000 31.8310 28 38 52 150 6,195 74,379 146,293 24,557 51.222 101,342 I50,oOo 160,714 36,5407 32 53 12 140 7,597 79,483 155,500 30,033 55.311 109,052 160,714
173,077 42,3785 38 08 26 130 9,451 85,276 165,563 37,206 60,244 118,182 173,077 180,000 45,8366 41 15 11 125 10,602 88,467 170,890 41,627 63,129 123,429 180,000 187,500 49,7359 44 45 44 120 11,944 91,875 176,375 46,740 66,377 129,245 187,500 204,545 - 59,1898 53 16 15 110 15,368 99,396 187,557 59,584 74,343 143,098 204,545
225,000 71,6197 64 27 28 IOO 20,165 107,917 198,144 77,048 85,394 161,324 225,000 236,842 79,3567 71 25 17 95 23,282 112,545 202,595 88,014 92,853 173,011 236,842 250,000 88,4195 79 34 39 90 27,021 117,380 205,895 100,740 102,430 187,365 250,000 264,706 99,1277 89 12 54 85 31,522 122,349 207,341 115,357 115,368 205,760 264,706
CC
K=P- 6 Aa - 4,715 70
L
156,800 163,333 178,182 196,000
206,316 217,778 230.588 245,000 261,333
T,
54,308 56,966 63,373 71,965
77,561 84.507 93,473
105,691 123,690
T O
35 56 09 38 59 35 46 24 17 56 08 59
62 12 57 69 19 15 77 42 58 87 44 03 99 49 19
L
156,800 163,333 178,182 196,000
206,316
217,778 230,588 245,000 261.333
T,
106,772 111,654 123,144 137.909
147,127 158,146 171,741 189,285 213,507
4'
39,9288 43.3255 51,5609 62,3887
69,1288
77,0232 86,351 97,4824
110,9133
R
125 120
110
100
95 90 85 80
75
x~
77,383 80,422 87,178 94,945
99.234 103,787 108,574 113,526 118,507
AR
8.081 9,111
11,748 15,469
17,902 20.844 24,417 28,771 34,083
X
150,743 155,929 166,843 177,995
183.281
187,988 191,628 193,463 192.407
Y
31,872 35,845 45,897 59,766
68,619
79,062 91.333
105,608 121,877
УЧЕБНА
ВЕРСИЯ
(Fortsetzung nächste Seite)
УЧЕБНА
ВЕРСИЯ
Tafel für 67 runde Halbmesser R = 1 5 bis R = 1 0 0 0 0
enthaltend auf 36 Seiten die Bogenlängen L, die Tangentenwinkel z in neuer und alter Winkelteilung, die Tangentenabrückungen AR, die Abszissen X„ der Krümmungsmittelpunkte, die rechtwinkeligen Koordinaten X und Y der Bogenpunkte, sowie die kurzen und langen Tangenten T, und TL aus 60 Norm- klotoiden von A = 1 5 bis A = 3000.
Anmerkung. Die in den A-Tafeln außerdem noch enthaltenen Halbmesser R = 8 bis R = 14 wurden hier nicht aufgenommen, weil sie Tafeln von nur 1 bis 3 Zeilen ergeben hätten. Sie können deshalb mühelos in der A-Tafel aufgesucht werden.
Table for 67 integer radii R = 1 5 to R - 1 0 0 0 0
containing on 36 pages the curve lengths L; the tangent angles z in centesimal and sexagesimal degrees; the tangent shifts AR; the abscissae XM of the centers of curvature; the cartesian coordinates X and Y of the points on the curve; and the short and long tangents T, and T, for 60 standard clothoids from A = 15 to A = 3000.
Note. The radii R = 8 to R = 14 contained in the A Tables are not shown here because they would take only one to three lines per table. They can therefore be looked up easily in the A Table.
Table de 67 rayons entiers de R=15 ii R = 1 0 0 0 0
comprenant.36 pages et contenant: les longueurs de raccordement L, les angles z des tangentes en grades et en degres, les dkcalages AR de la tangente, les abscisses X, du point milieu des arcs de raccordement, les coordonn6es X et Y des points de la clothoide, les segrnents courts et longs des tangentes T, et TL de 60 clothoides standards dont le paramktre A varie entre A = 15 et A = 3000.
Remarque. Les rayons de R = 8 i R = 14 contenus dans les tables A n'ont pas 6th repris, car ils auraient donne des tables de 1 L 3 lignes seulement. 11s peuvent facilement etre tires des tables A.
Tabla para 67 radios enteros desde R = 1 5 a R=10.000
comprende 36 piginas y contiene: las longitudes de arco L, los ingulos t de las tangentes en grados centesimales y sexagesimales, los retranqueos de la tangente AR, las abscisas X, de los centros de curva- tura, las coordenadas X e Y de los puntos de la clotoide, las tangentes cortas y lafgas T, y TL de 60 clotoides tipo cuyo parametro A varia entre A =I 5 y A =3.000.
Nota. Los radios R = 8 a R = 14 contenidos en las tablas A no han sido tenidos en cuenta aqui, porque habrian dado tablas de 1 a 3 lineas solamente. Pueden hallarse facilmente en las tablas A .
22 Kasper-Schurba-Lorenz, Die Klotoide als Trassierungselement ( 5 . A )
УЧЕБНА
ВЕРСИЯ
Fortsetzung R = 60
A
70 75 80
90
IOO
I I O
79
43,326 49,736 56,588 71,620
88,4195 106,9875
L
81,667
93,750 106,667 135,000
166,667 201,667
TO
38 59 35 44 45 44 50 55 46 64 27 28
79 34 39 96 17 20
AR
4.556 5.972 7,682
12,099
18,014
x,~z
40,211
45,937 51,959 64.750
78,253
251558 1 92,052
X
77.964 88,187 98,541
118,886
137,263 151,691
Y
17,922 23,370 29,865 46,229
67,160 92,131
T ,
28,483 33,188 38,468 51,236
68,287 92,689
T~
55,827 64,623 74,296 96,795
124,910 161,844
A
70 75 80
90
100
110
УЧЕБНА
ВЕРСИЯ
(Fovtsetzung nächste Seite)
УЧЕБНА
ВЕРСИЯ
(Fortsetzutzg flachste Seite) Zz3
A
65 70 75 80
90 100
110
120
12.5 130 140 150
Fortsetzung R = 85
A
65 70 75 80
90 100
I I O
120
125 130 140 150
~8
18,614 21,588 24,782 28,196
35,686 44,057 53.309 63,442
68,839 74,456 86,351 99,123
L
49,706 57,647 66,176
75,294
95.294 117,647 142.353 169,412
183,824 198,824 230,588 264,706
7''
16 45 09 19 25 44 22 18 13 25 22 36
32 07 03 3 9 3 9 0 4 47 58 40 57 05 51
61 j7 17 67 00 37 77 42 58 89 12 54
AR
1,207 1,622 2,135 2,760
4,402 6,670 9,688
13,580
15,889 18,458 24,417 31,522
Xnl
24,782 28,713 32,922 37;402
47.152 57,897 69,545 81,978
88,444 95,047
108,574 122,349
1'
4,815 6,463 8.494
10,961
17.410 26,225
37.788 52,407
60,925 70.260
91,333 115,357
X
49.283 56,988 65.181
73,830
92,343 112,136 132,690 153.344
163,463 173,296 191.628
207,341
T~
16,705 19,423 22,382
25,577
32,747 41,097 50,866 62,420
69,031 76,322 93,473
115,368
T L
33.287 38,665 44,473 50,722
64,608 80,494 98,639
119.437
131,007 143,488 171,741 205,760
УЧЕБНА
ВЕРСИЯ
m
Fortsetzung R = 95
A
65 70 75 80
90 IOO
I I O
120
125 130 140 150
160
170 180
7
TS
14,902 17.282 19,839 22.573
28,569 35,2698 42,6764 50.7885
55,1091 59,6059 69,1288
79,3567
90,2907 101,9297 114,2741
L
44,474 51,579 59,211 67,368
85,263 105,263 127,368 151,579
164,474 177.895 206,316 236,842
269,474 304,211 341,053
TO
13 24 41 15 33 14 17 57 19 20 18 55
25 42 42 31 44 34 38 24 32 45 42 35
49 35 33 53 38 43 62 1 2 57
71 25 17
81 15 42
91 44 13 102 50 48
A
65 70 75 80
90 100
110
120
125 130 140 150
160
170 180
AR
0,866 1,164 1,532 1,982
3,166 4,807 7,002 9,856
11,552 13,453 17,902 23,282
29,656 37,068 45,530
xnf
22,196 25,726 29,510 33,544
45.513 52,098 62,742 74,213
80,225 83,811
99,234 112,545
126,191 139,995 153,766
- -
X
44.237 51,200 58,638 66,526
83,562 102,078 121,763 142,212
152,569 162,920 183,281 202,595
220,088
234.951 246,388
T K
14,902 17,315 19,246 22,729
28,978 36,147 44.361 53,804
59.064 64,740 77,561 92,853
111,518 1353010 165,803
Y
3,456 4.643 6,108 7,891
12,572 19,017 27,560 38,513
44,978 52,139 68,619 88,014
110,224
134.948 161,653
T L
29.735 34,520 39,676 45,212
57.453 71,338 87.001
104,647
114,287 124.543 147,127 173,011
203,146 239.043 283,254
УЧЕБНА
ВЕРСИЯ
(Fortsetzung nächste Seite) 225
УЧЕБНА
ВЕРСИЯ
226 (Fortseizun~ niirl?ste Seite)
i
Fortsetzung R = 120
A
170 175 180 190
200
225
L
240.833 255.208 270,000 300,833
333,333 421,875
Y
74.945 83.412 92,457
112,275
134,320 197,719
-6'
63,8831 67,6961 71,6197 79.7985
88,4195 111,9058
AR
19,430 21,723 24,198 29,718
36,028
55,408
T
57 29 41 60 55 35 64 27 28 71 49 07
79 34 39 100 42 55
T~
88,866
95,437 102,472 118,175
136,573 201.228
xM
116,486 122,943 129,501 142,874
156,506 190,985
X
217,687 227,822
237,773 256,883
274,526 308,892
T&
169,932 181~447 193,589 220,009
249,820 346,306
A
170 I75 180 190
200
225
УЧЕБНА
ВЕРСИЯ
Fortsetzung R = 130
A
75 80 go
100
110
120
125 130
140 150 160
170
I75 180 190 200
225
L
43,269 49,231 62,308 76,923
93,077 110,769 120,192 130,ooo
150,769 173,077 196,923 222,308
235,577 249,231 277,692 307,692
389,423
T~
10,595 12,054 15,256 18,8349
22,7903 27,1223 29,4295 31,8310
36,9164 42.3785 48,2173 54,4329
57.6819 61,0251 67,9940 75,3397
95,3517
X
43,150 49,055 61,951 76,252
91,891 108,776 117,649 126,787
145.778 165,563 185,923 206,596
216,958 227,283 247.645 267.305
310,679
Y
2,396 3,099 4.957 7,539
11,006 15,528 18,240 21,283
25,450 37,206 47,776 60,127
67,085 74,559 91.094
109,764
165,408
xlrr
21,615 24,586 31.094 38,350
46,340 55,051 59,671 64,462
74,547 85,276 96,608
108,499
114.638 120,894 133,731 146,937
181,026
TO
9 32 07 10 50 56 13 43 50 16 57 05
20 30 41 2 4 2 4 3 6 26 29 12
28 38 52
33 I3 29 38 08 26 43 23 44 48 59 22
51 54 49 54 55 21 61 11 41 67 48 21
85 49 00
T ,
28,888 32.882 41.664 51,519
62,473 74,561 81,044 87,829
1 0 2 ~ 3 4 ~ 118,182 135,457 154,309
164,383 174,926 197,554 222,524
298,581
T ,
14,461 16,467 20,884
25,857
31.409 37,574 40,898 44,392
5 1 ~ 9 ~ 4 60,244 69,452 79,682
85,232 91,107
103,958 118,547
165,850
AR
0,599 0,776 1,242 1,891
2,764 3,907 4,595 5,369
7,199 9,451
12,177 15,433
17,275 19,268 23.733 28,871
44,892
A
75 80 90
100
110
120
125 130
I4O 150 160
170
I75 180 190 200
225
УЧЕБНА
ВЕРСИЯ
228 (Fortsetzung nächste Seite)
УЧЕБНА
ВЕРСИЯ
(Fortsetzung fiächste Sei te) 229
Fortsetzung R = 160
A
190 200
225 250
275
T,
154,530 172,327 222,861
284,153
360,746
Y
51,174 62,320 97,225
142,810
198,872
A
190 200
225 250
275
T,
78,961 88,502
116,388 152,032
199,749
+r0
40 23 53 44 45 44 56 39 08 69 56 28
84 37 44
L
225,625 250,000 316,406 390,625
472,656
AR
13,024 15,926 25,179 37,687
53,849 .
79
44,8867 49,7359 62,9470 ,
77,7124 .
94,0320
x~
110,969 122,500
153,185 186,003
220,147
X '
214,664 235,166 286,841 336,298
379.444
УЧЕБНА
ВЕРСИЯ
