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TAR,tw.V _—rMiddle Ordinates for Rails
<br />Peg
<br />Curvo
<br />1 LEi4G PH OF RAMS.
<br />y
<br />Deg { t � LENGTH OF RAILS
<br />32
<br />30
<br />28 20
<br />24
<br />22
<br />1120
<br />of
<br />Oorve '1321 1309
<br />26
<br />24
<br />22 ! 20
<br />y
<br />'
<br />If f f
<br />1313
<br />`2S
<br />1
<br />1139
<br />1v,
<br />022
<br />020 017,
<br />015
<br />013
<br />611
<br />009,1
<br />,1 16°
<br />r4,1G
<br />273
<br />236
<br />200
<br />I70
<br />11
<br />,
<br />045
<br />030 034
<br />030
<br />02a
<br />1017
<br />17
<br />378
<br />343
<br />2Q0
<br />202
<br />213
<br />180 148
<br />a
<br />037,
<br />Oo9 001,
<br />044
<br />099
<br />_021
<br />072
<br />026
<br />18
<br />400
<br />301
<br />300
<br />265
<br />2?6
<br />Ise 750
<br />4
<br />089
<br />079 068
<br />058
<br />000
<br />032
<br />035
<br />19
<br />423
<br />871
<br />923
<br />280
<br />239
<br />_201 165
<br />G
<br />112
<br />096 085
<br />014'
<br />3
<br />IUoS
<br />044
<br />^D
<br />440
<br />392
<br />341
<br />290
<br />250
<br />212 174
<br />134
<br />116 104
<br />09(v
<br />76
<br />06
<br />,DS2
<br />21
<br />468
<br />410
<br />307
<br />300
<br />262
<br />222 192
<br />4
<br />106°
<br />137 1L01
<br />1
<br />�i98
<br />Or
<br />'081
<br />,S Z2
<br />87
<br />430
<br />375
<br />32n
<br />270
<br />239 191
<br />S
<br />179
<br />15T 137'
<br />113
<br />100
<br />'08
<br />010
<br />`� 23
<br />000
<br />400
<br />390
<br />338
<br />28,
<br />243 198
<br />1 9 t
<br />201
<br />1-7 174
<br />133
<br />114
<br />'109
<br />078
<br />24
<br />"541
<br />166
<br />40S
<br />3,,4
<br />299
<br />2nd 209
<br />10_
<br />223
<br />190 1-1
<br />I47
<br />126
<br />105
<br />`03,
<br />1 26
<br />002
<br />486
<br />424
<br />367
<br />_911
<br />263 216
<br />11
<br />240
<br />PIIS 188
<br />162
<br />138
<br />116
<br />{ 096
<br />- M
<br />0,'1
<br />DUO
<br />441
<br />,382
<br />323
<br />274 225
<br />12
<br />208
<br />Pao 2Ca
<br />177
<br />101
<br />12,
<br />10,
<br />27
<br />094
<br />524
<br />467
<br />990
<br />33a
<br />284 233
<br />1A
<br />290r
<br />254 223
<br />192
<br />163
<br />' 139
<br />113
<br />-28
<br />'618
<br />045
<br />46
<br />411
<br />348
<br />294 242
<br />14
<br />li2S
<br />2,5 234
<br />207
<br />'1 ,5'
<br />` 148
<br />122
<br />29
<br />638
<br />a64
<br />491
<br />424
<br />961
<br />303 2,"00
<br />15
<br />334
<br />2fl5 207`
<br />229
<br />'160
<br />109
<br />131
<br />10
<br />060
<br />583'
<br />508
<br />439
<br />874
<br />813 2o9
<br />CURVE 1?6R141ULA� 1
<br />k1 ` •T= R tan ,T I ,- P. P cot -' I Chord def='cl4ord2
<br />�I T�50,tan '�lll
<br />Sill D i , f_ 1Z 50 R
<br />�S1n D—,50, , 1' _ ` Sl❑' D No ,chords $ I
<br />r+ 1
<br />�=R'W, sec ', I D
<br />a - r , E T `tan ¢' I - Tan def = a chord def
<br />41T1ie, square of "any distance, drvlded by twice the radius, will equal the
<br />distance from tangent to chive, very nearly
<br />P�"TableJY Icontains Tangents kind E.rternals to a 10 carve Tan and Ext , to Any other radius maybe fond„ncarly enough, by dlvldmg the Tan or
<br />Eit opposite _the given central,angle by the, given degree of curve
<br />y al' To find, teg of Carve, having the Central Angle and Tangent Divide
<br />I Tan -opposite the given Central Angle,by, the given Txnkeut
<br />To fold Deg of Curve, having ]the 1Ccatral Auglo and External Divide
<br />Ext' opposlte'the' given Centra] -'Angle by 'the given Exteinal
<br />w 1 No fiiTil—Nat Tan in(] Nat Eh See for my angle by Tablo IV Tan
<br />1, or Ext of'twico Owl glveu angle divided by the radma of a 103aurve will be
<br />r5 ti, the Nat; Tin of Yat M See_, 1 -c
<br />i -To find angle for a givendistance and deflection I
<br />pc I Rule 1 Afultiply the glven dlstance'by 101745 (def for 1°for`bt' , and
<br />I divide given deflection by: t11e product
<br />Ruie 21” hlnitlply given deflection by, 57 3, and divide the product by
<br />01, ithe given distance -- - f
<br />+^ h To find deflection for a given angle ands distance Multiply the angle
<br />by 01745; aha the product bylthe distanoo`
<br />_RT64T AVGLL TaJANGUS —Square the altitude, dnide by twice the b -iso
<br />V� Add quotient to base for h3Tothenuse
<br />Given Base 100, Alt 10 102--200= 5- 100- 5=100 5 h7F
<br />CivenHyp 100,A1t 25 :2aO 200=3 12; 100-3 125--96 $75=13,�Be
<br />Error m first example, --002, in last, 045
<br />q " 'To find logs of Rall in one Pule of track multply weight per,3ard
<br />r jilbv 11 and divide by 7 r -
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