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TAHLB � — Middle Ordinates for Rails
<br />Dog
<br />of
<br />Carve
<br />i E\GTII 01! RAiis
<br />Dog
<br />of
<br />CLrvO
<br />I T1GTli OF RAILS
<br />32
<br />U
<br />28
<br />20
<br />24
<br />1 22
<br />120
<br />3:
<br />{ 40
<br />25
<br />2b
<br />24
<br />22
<br />20
<br />10
<br />022
<br />020
<br />017
<br />Ola
<br />Oil
<br />Oil
<br />009
<br />7R0
<br />30G
<br />313
<br />224
<br />2%
<br />200
<br />120
<br />149
<br />P.
<br />040
<br />039
<br />034
<br />1
<br />030
<br />020
<br />021
<br />017
<br />17
<br />4,3
<br />333
<br />290
<br />202
<br />213
<br />180
<br />148
<br />3
<br />092
<br />0.9
<br />071
<br />044
<br />093
<br />OJ2
<br />026
<br />1S
<br />400
<br />J,1
<br />JOB
<br />261
<br />220
<br />190
<br />JOG
<br />4
<br />099
<br />0,9
<br />068
<br />009
<br />050
<br />042
<br />035
<br />119
<br />423
<br />3 1
<br />324
<br />280
<br />238
<br />201
<br />16)
<br />6
<br />112
<br />099
<br />080
<br />024
<br />003
<br />Oil
<br />044
<br />20
<br />445
<br />302
<br />341
<br />296
<br />2,10
<br />212
<br />124
<br />6
<br />134
<br />118
<br />103
<br />098
<br />070
<br />063
<br />002
<br />21
<br />4bb
<br />410
<br />377
<br />309
<br />262
<br />222
<br />182
<br />7
<br />17Ra
<br />137
<br />120
<br />103
<br />0%
<br />024
<br />Ohl
<br />22
<br />48,
<br />430
<br />3,0
<br />"",
<br />270
<br />233
<br />191
<br />S
<br />129
<br />102
<br />137
<br />118
<br />100
<br />084
<br />020
<br />23
<br />509
<br />470
<br />390
<br />Sib
<br />287
<br />243
<br />199
<br />9
<br />201
<br />1,7
<br />104
<br />143
<br />113
<br />090
<br />028
<br />.:4
<br />311
<br />4GO
<br />408
<br />304
<br />299
<br />274
<br />208
<br />10
<br />223
<br />l90
<br />1,1
<br />14"
<br />126
<br />100
<br />09'
<br />25
<br />7,2
<br />496
<br />424
<br />967
<br />311
<br />263
<br />216
<br />Ill
<br />24o
<br />216
<br />188
<br />162
<br />13b
<br />116
<br />090
<br />26
<br />0,3
<br />506
<br />441
<br />4820
<br />329
<br />274
<br />221
<br />12
<br />2G8
<br />24,
<br />200
<br />122
<br />151
<br />127
<br />107
<br />'7
<br />a94
<br />�2#
<br />457
<br />398
<br />330
<br />234
<br />233
<br />73
<br />290
<br />204
<br />222
<br />192
<br />lei
<br />138
<br />119
<br />2S
<br />618
<br />747
<br />420 1
<br />411
<br />348
<br />291
<br />242
<br />14
<br />^12
<br />"' d
<br />239
<br />""07
<br />12,
<br />148
<br />122
<br />29
<br />G33
<br />0b4
<br />491
<br />161
<br />303
<br />?aO
<br />15
<br />334
<br />29,
<br />207
<br />223
<br />IS8
<br />1�9
<br />131
<br />30
<br />r,1,0
<br />783
<br />1424
<br />-,03
<br />438
<br />3-4
<br />313
<br />209
<br />" CURVE FORMUL1E
<br />'P =1t tall Y I ,
<br />t " R = T cot 1 Chord def =chord'
<br />T = 50 tin a I s
<br />{ Sin D R— 50 R 1
<br />Sin D = 50 Sin D No chords = 1w I 1
<br />i +'! R E=R ex see' I D
<br />-21"i Sin D = 50 tail I s
<br />4! E = T, tau 'r I Tan def = chord def
<br />�j; ryryIl j
<br />Pie square of any distance, diiided by twice the radius, will equal the
<br />i ryy�1 dist ince liom Vmgent to curve, very nearly
<br />} Table IV contaius Tangent-; and Externals to a 10 curve Tan and Ext
<br />to illy other radius may be found, nearly enough, by dividing the Tan or
<br />Ext opposite the given central angle by the given degree of cane >
<br />'+ 1 To find Deg of Curie, having the Ccntrll Angle and Tangent Divide
<br />Tan opposito the given Central Angle by the given Tangent
<br />to find Deg of Curve, having the Ceutml. Ana Angle and External Divide
<br />Ext opposite the given Central Angle by the given Elteinal
<br />To find Nat Tan and Nat Ex Sec for any ,angle by Table IV Tan
<br />oxt of Nat tnicee the given
<br />SeCle divided by the radius of a 10 carve will be
<br />4" the
<br />t1 1 To find angle foi a given distance ind deflection
<br />r Rule 1 Multiply the giien distance by 01745 (def for 10 for 1 ft), and
<br />divide glen deflection by the product
<br />1 , Rule 2 Multlpl) gnon deflection bj 57 3, and divide the product by
<br />+ f' the given distance
<br />I 4 tiit To find deflection for a given angle and distance lfultiply the angle
<br />1 by 01745, and the product by the distance
<br />RIGHT A-NGLE TRIANGLES — Square the altitude, divide by tiiice the base
<br />! 3' Add quotient to base for 1lypothenuse
<br />Given Base 100, Alt 10 102-200= 5 100+ 5=100 5 byp
<br />R '!' Given Hyp 100, Alt 25 252-200=3 125 100-3 120=96 875—Base
<br />Error in first example, 002, in last, 045
<br />' To find Tons of Rail in one mile of track multiply weight per yard
<br />by 11, and divide by 7
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