|
TABLE X.
<br />MIDDLE ORDINATES OF. RAILS
<br />Length of Rail (feet)
<br />C
<br />o f
<br />R
<br />Feet
<br />30
<br />Inch
<br />28
<br />Inch
<br />26
<br />Inch
<br />24
<br />Inch
<br />22
<br />Inch
<br />20
<br />Inch
<br />C
<br />o
<br />R
<br />Feet
<br />30 28
<br />Inch loch
<br />26
<br />Inch
<br />24
<br />Inch
<br />22
<br />Inch
<br />20
<br />Inch
<br />8
<br />716.81.881.641.421.201.01
<br />0-2017189
<br />28.8
<br />.08
<br />.07
<br />,06
<br />.05
<br />.04
<br />.03
<br />5-45
<br />17.3
<br />30'
<br />120 20 9-34
<br />4-47
<br />0-40
<br />8594
<br />.16
<br />.14
<br />.12
<br />.10
<br />.08
<br />.07
<br />9
<br />637,3
<br />2.12 1.84
<br />1.60
<br />1:.3
<br />1.14
<br />.84
<br />1-0
<br />5730
<br />.24
<br />.20
<br />,18
<br />.15
<br />.13
<br />.10
<br />10
<br />573.7
<br />2.36 2.05
<br />1.78
<br />1.50
<br />1.27
<br />.94
<br />1.04
<br />1-20
<br />4297
<br />.31
<br />.27
<br />.23
<br />.20
<br />, • 17
<br />.13
<br />11
<br />521.7
<br />2.59 2.26
<br />1.95
<br />1.65
<br />1.39
<br />1.15
<br />1-40
<br />3438
<br />.39
<br />.34
<br />,29
<br />,25
<br />. 21
<br />.17
<br />12
<br />478.3
<br />3.83 2.47
<br />2.•15
<br />1.81
<br />1.54
<br />1.26
<br />2-0
<br />2865
<br />.47
<br />•41
<br />.35
<br />.30
<br />.25
<br />.20
<br />13
<br />441.7
<br />3.05 2,66
<br />2.30
<br />1.96
<br />1.66
<br />1.36
<br />2-20
<br />2456
<br />.55
<br />.48
<br />.41
<br />.35
<br />.29
<br />,23
<br />14
<br />410.3
<br />3,30 2.87
<br />2.48
<br />2.10
<br />1.78
<br />1.46
<br />2-40
<br />2149
<br />.63
<br />.55
<br />.47
<br />, ,40
<br />.33
<br />.27
<br />15
<br />3&3.13.54
<br />3.08
<br />2,68
<br />2.261-911.57
<br />2.095
<br />0.204
<br />3-0
<br />1910
<br />.71
<br />.62
<br />,53
<br />.45
<br />.38
<br />.31
<br />16
<br />359.3
<br />3.76 3.28
<br />2.83
<br />2.40
<br />2.04
<br />1.67
<br />3-20
<br />1719
<br />,78
<br />.68
<br />.50
<br />.50
<br />.42
<br />.35
<br />17
<br />338.3
<br />4.00 3.48
<br />3.02
<br />2.57
<br />2.16
<br />1.78
<br />3-40
<br />1563
<br />.86
<br />.75
<br />.65
<br />.55
<br />,48
<br />.38
<br />I8
<br />319.6
<br />4.21 3.67
<br />3.18
<br />2.70
<br />2.28
<br />1.87
<br />4-0
<br />1433
<br />.94
<br />.8$
<br />.71
<br />.60
<br />.50
<br />,42
<br />19
<br />302.9
<br />4.45 3.89
<br />3.36
<br />2.86
<br />2:41
<br />1.98
<br />4-20
<br />1323
<br />1.02
<br />.89
<br />.77
<br />.65
<br />.55
<br />.45
<br />20
<br />287.9
<br />4, 70 4.09
<br />3.55
<br />3.00
<br />2.54
<br />2.09
<br />410
<br />1228
<br />1.10
<br />.96
<br />.83
<br />.10
<br />.59
<br />.48
<br />22
<br />262,0
<br />5.16 4.44
<br />3.84
<br />3.30
<br />2.80
<br />2.29
<br />5
<br />1146
<br />1.18
<br />1.03
<br />.89
<br />.75
<br />.63
<br />.52
<br />24
<br />240.5
<br />5.64 4.92
<br />4.20
<br />3.59
<br />3.04
<br />2.50
<br />6
<br />955.3
<br />1.41
<br />1.23
<br />1.06
<br />.90
<br />.76
<br />.62
<br />26
<br />222.36
<br />5.29
<br />4.58
<br />3,88 13.29
<br />3.637.
<br />2.70
<br />7
<br />819.0
<br />1.65
<br />1.44
<br />1.24
<br />1.05
<br />.89
<br />.73
<br />_TABLE XI.
<br />SHORT RADIUS CURVES
<br />To find length of curve divide angle from P. C. to P. T. by central angle of chord,
<br />and multiply by length of chord.
<br />Ii� r
<br />TABLE XII.
<br />INCLINED DISTANCE OF 100 FT. REDUCED TO HORIZONTAL
<br />$lope
<br />Bathos Chord Central
<br />Feet Feet Angle
<br />Deflection
<br />Angle
<br />Deflection
<br />for 1 Foot
<br />dope
<br />35 10 • 16-26
<br />8-13
<br />49.3
<br />0000'
<br />45 10 12-46
<br />6-23
<br />38.3
<br />8000'
<br />50 15 17-16
<br />8-38 '
<br />34.5
<br />15'
<br />60 15 14-22
<br />7-11
<br />28.8
<br />15'
<br />75 15 11-30
<br />5-45
<br />23.0
<br />30'
<br />100 20 11-30
<br />5-45
<br />17.3
<br />30'
<br />120 20 9-34
<br />4-47
<br />14.3,
<br />45'
<br />150 20 7-39
<br />3-49
<br />11.5.
<br />45'
<br />190 25 7-32
<br />3-46
<br />9.15
<br />1 00
<br />200 25 7-10
<br />,
<br />3-35
<br />8.6
<br />9 00
<br />225 25 6-25
<br />3-12
<br />7.7
<br />15
<br />240 25 5-58
<br />2-59
<br />7.2
<br />15
<br />250 25 5-44
<br />2-52
<br />6.9
<br />30
<br />275 25 5-12
<br />2-36
<br />6.2
<br />30
<br />288 50 9-58
<br />4-59
<br />6.0
<br />45
<br />300 50 .9-32
<br />4-46
<br />5,7
<br />45
<br />350 50 .8-12
<br />4-06
<br />4.9
<br />2 00
<br />376 50 7-40
<br />3-50
<br />4.6
<br />10 00
<br />400 50 7-10
<br />3-35
<br />4.3
<br />15
<br />410. 50 7-00
<br />3-30
<br />4.2'
<br />15
<br />To find length of curve divide angle from P. C. to P. T. by central angle of chord,
<br />and multiply by length of chord.
<br />Ii� r
<br />TABLE XII.
<br />INCLINED DISTANCE OF 100 FT. REDUCED TO HORIZONTAL
<br />$lope
<br />Horizontal
<br />Distance
<br />Caaection
<br />Per Foot
<br />dope
<br />Horizontal
<br />hO°
<br />Rae
<br />Pet Foot
<br />0000'
<br />100,000
<br />0.000.
<br />0.000
<br />8000'
<br />99,027
<br />0,973
<br />0.139
<br />15'
<br />99.999
<br />0.001
<br />0,004
<br />15'
<br />98.965
<br />1.035
<br />0.143
<br />30'
<br />99.996
<br />0.004
<br />0.009
<br />30'
<br />98.902
<br />1.098
<br />0.148
<br />45'
<br />99.991
<br />0.009
<br />0.013
<br />45'
<br />98.836
<br />1.164
<br />0.152
<br />1 00
<br />99.985
<br />0.01.5
<br />0.017
<br />9 00
<br />98,769
<br />1.231
<br />0.156
<br />15
<br />99.976
<br />0.024
<br />0.022
<br />15
<br />98.700
<br />1.300
<br />0.161
<br />30
<br />99.966
<br />.0.034
<br />0. 02 6
<br />30
<br />98.629
<br />1.371
<br />0.165
<br />45
<br />99.953
<br />0.047
<br />0.031
<br />45
<br />98.556
<br />1.444
<br />0.169
<br />2 00
<br />99.939
<br />0.061
<br />0.035
<br />10 00
<br />98.481
<br />1.519
<br />0.174
<br />15
<br />99.923
<br />0.077
<br />0.039
<br />15
<br />_
<br />98.404
<br />1.596
<br />0.178
<br />30
<br />99.905
<br />0.095
<br />0.044
<br />30
<br />98.325
<br />1.1375
<br />0.182
<br />45
<br />99.885
<br />0.115
<br />0.048
<br />45
<br />98:245
<br />1.755
<br />0.187
<br />3 00
<br />99.863
<br />0.137
<br />0.052
<br />11 00
<br />98.163
<br />1.837
<br />0.191
<br />15
<br />99, 839
<br />0.161
<br />0.057
<br />15.
<br />98.079
<br />1.921
<br />0.195
<br />30
<br />99.813
<br />0.187
<br />0.061
<br />30
<br />97.992
<br />2,008
<br />0.199
<br />45
<br />99.786
<br />0.214
<br />0.065
<br />45
<br />97.905
<br />2.095
<br />0.204
<br />4 00
<br />99.756
<br />0.244
<br />'0.070
<br />12 00
<br />97.815
<br />2.185
<br />0.208
<br />15
<br />99.725
<br />0.275
<br />0.074
<br />15
<br />97.723
<br />2.277
<br />0.212
<br />30
<br />99.692
<br />0.308
<br />0.078
<br />30
<br />97.630
<br />2.370
<br />0.216
<br />45t
<br />99.657
<br />0.343
<br />0.083
<br />45
<br />97.534
<br />2.466
<br />0.221
<br />5 00
<br />99.619
<br />0.381
<br />0.087.
<br />13 00
<br />97.437
<br />2.563
<br />0.225
<br />15
<br />99.580
<br />0.420
<br />0.092
<br />15
<br />97.338
<br />2.662
<br />0.229
<br />30
<br />99.540
<br />0.460
<br />0.096
<br />30
<br />97.237.
<br />2.763
<br />0.233
<br />45
<br />99.497
<br />0.503
<br />0.100
<br />45
<br />97.134
<br />2.866
<br />0.238
<br />6 00
<br />99.452
<br />0.548
<br />0.105
<br />14 00
<br />97.030•
<br />2.970
<br />0.242
<br />15
<br />99.406
<br />'0.594
<br />0.109
<br />15
<br />96.923
<br />3.077
<br />0.246
<br />30
<br />99,357
<br />0.643
<br />0.113
<br />30
<br />96.815
<br />3.185
<br />0.250
<br />45
<br />99.307
<br />0.693
<br />0.118
<br />45
<br />96.705
<br />3.295
<br />0.255
<br />7 00
<br />99.255
<br />0.745
<br />0.122
<br />15 00
<br />96.593
<br />3.407
<br />0.259
<br />15
<br />99.200
<br />0.800
<br />0.126
<br />15
<br />96.479
<br />3.521
<br />0.263
<br />30
<br />99.144
<br />0.856
<br />0.131
<br />30
<br />96.363
<br />3.637.
<br />0.267.
<br />45
<br />1 99.087
<br />1 0.913
<br />1 0.135
<br />1 ' 45
<br />96.246
<br />3.754
<br />1 0.271
<br />TABLE XIII.
<br />MINUTES IN DECIMALS OF A DEGREE.
<br />0 30".00833
<br />10'30"-175M
<br />20'30".34167
<br />30'16".50833
<br />40'30"
<br />.67500
<br />50'10"
<br />.84167
<br />1 00
<br />.01667
<br />11 00
<br />.18353
<br />21 00
<br />.35000
<br />31 00
<br />.51667
<br />41 00
<br />.68333
<br />51 00
<br />.85000
<br />30
<br />.02500
<br />30
<br />.19167
<br />30
<br />.35833
<br />80
<br />.52500
<br />80
<br />.69167
<br />30
<br />.85833
<br />2 00
<br />.03=1
<br />12 000000
<br />2200
<br />.86667
<br />32 00
<br />.53333
<br />4200
<br />.70000
<br />52 00
<br />.86667
<br />30
<br />.04167
<br />30
<br />,20833
<br />30
<br />,37500
<br />30
<br />.54167
<br />30
<br />,70833
<br />30
<br />.87500
<br />Soo
<br />.05000
<br />18 00
<br />,21667
<br />23 OD
<br />.38333
<br />3300
<br />.55000
<br />43 00
<br />.71667
<br />53 00
<br />,88333
<br />30
<br />.05833
<br />80
<br />.22500
<br />80
<br />.39167
<br />30
<br />.55833
<br />30
<br />.72500
<br />30
<br />.89167
<br />4 00
<br />.06667
<br />14 00
<br />.23333
<br />24 00
<br />.40000
<br />3400
<br />.56667
<br />44 00
<br />.73333
<br />54 00
<br />.90000
<br />30
<br />.07500
<br />30
<br />.24167
<br />30
<br />.40833
<br />30
<br />.57500
<br />30
<br />.74167
<br />30
<br />,90833
<br />5 00
<br />.08338
<br />15 00
<br />.25000
<br />25 00
<br />,41667
<br />3500
<br />.58333
<br />45 00
<br />.75000
<br />55 00
<br />,91667
<br />30
<br />.09167
<br />80
<br />,25833
<br />30
<br />,43500
<br />80
<br />,59167
<br />30
<br />.75833
<br />30
<br />.92500
<br />6 00
<br />.1000
<br />1600
<br />,26667
<br />2600
<br />.43333
<br />36 00
<br />.60000
<br />46 00
<br />.76667
<br />56 00
<br />93333
<br />30
<br />.10833
<br />30
<br />,27500
<br />30
<br />,44167
<br />30
<br />.60835
<br />30
<br />.77500
<br />30
<br />.94167
<br />7 00
<br />.11687
<br />17 00
<br />.28333
<br />27 00
<br />.45000
<br />37 00
<br />,61667
<br />47 00
<br />.78333
<br />57 00
<br />.95000
<br />30
<br />.12500
<br />30
<br />,29167
<br />30
<br />,45833
<br />80
<br />.62500
<br />30
<br />.79167
<br />30
<br />.95833
<br />.8 00
<br />.13333
<br />18 00
<br />.30000
<br />28 00
<br />.46667
<br />38 00
<br />.633:,rd
<br />48 00
<br />.80000
<br />58 00
<br />,96667
<br />• 30
<br />.14167
<br />30
<br />,30338
<br />80
<br />.47500
<br />30
<br />.64167
<br />30
<br />.80833
<br />30
<br />.975M
<br />9 00
<br />.15000
<br />19 00
<br />,31667
<br />29 00
<br />,48333
<br />89 00
<br />.65000
<br />49 00
<br />.81667
<br />59 00
<br />.98338
<br />30
<br />.158.33
<br />30
<br />',34,500
<br />30
<br />,49167
<br />30
<br />.65838
<br />30
<br />.82500
<br />30
<br />.99167
<br />10 00
<br />.1666712-0
<br />00
<br />.33338
<br />30 00
<br />.50000
<br />40 00
<br />.66867
<br />50 00
<br />.83333
<br />60 00
<br />1.00000
<br />
|