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TABiB V — Middle Ordinates -for -Rails ' 1 ` ' <br />Deg <br />Of <br />Gone <br />` 1aEN W OF RATI S <br />- -"—Y - <br />DBg <br />of <br />Carva <br />LENGTH OF RAM <br />32 <br />I 40- <br />29 <br />26 <br />24 <br />22 <br />F <br />i 20 <br />32 <br />30 <br />29 <br />26 <br />24 <br />22 <br />80 <br />� <br />y <br />I <br />10 <br />022 <br />020 <br />0174 <br />015 <br />013 <br />1011 <br />009 <br />160- <br />3% <br />313 <br />278 <br />'290 <br />200 <br />170 <br />139 <br />-2- <br />045, <br />030 <br />034, <br />030 <br />02a <br />021 <br />017 <br />17 <br />878 <br />8d3 <br />290 <br />252 <br />218 <br />180 <br />148 <br />_3 <br />037 <br />059 <br />0x1+ <br />044 <br />039 <br />032 <br />026 <br />„18 <br />400 <br />351 <br />305 <br />265 <br />225 <br />190 <br />lab <br />4 f <br />089 <br />0+9 <br />046 <br />059 <br />050 <br />042 <br />035 <br />111 <br />423 <br />971 <br />924 <br />260 <br />298 <br />261 <br />lab <br />6 <br />112 <br />018 <br />089 <br />0747 <br />063 <br />033 <br />044 <br />X20 <br />445 <br />892 <br />341 <br />290 <br />2x0 <br />212 <br />174 <br />'6 <br />184 <br />118 <br />103" <br />088 <br />076 <br />1063 <br />003 <br />21 <br />466 <br />410, <br />1357 <br />369 <br />262 <br />222 <br />183 <br />7 <br />156 <br />137 <br />120{ <br />103 <br />038 <br />0,4 <br />061 <br />22 <br />487 <br />430 <br />975 <br />325 <br />2+5 <br />233 <br />191 <br />R <br />179' <br />157 <br />PG <br />116 <br />100 <br />'084 <br />070 <br />23 <br />509 <br />450' <br />890 <br />393 <br />297 <br />244 <br />1914 - <br />9&9 <br />* <br />201 <br />177 <br />1641 <br />133 <br />113 <br />095 <br />078 <br />24 <br />531 <br />469 <br />'408 <br />354 <br />299 <br />253 <br />206 <br />10 <br />223 <br />196 <br />1711 <br />I47 <br />126 <br />105 <br />'087 <br />- 26 <br />552 <br />466 <br />424 <br />'367 <br />311 <br />263 <br />216 <br />11 <br />245 <br />210 <br />186 <br />IG2 <br />139 <br />11G <br />09G <br />26 <br />573 <br />606 <br />441 <br />362 <br />324 <br />274 <br />235 <br />12_ <br />268 <br />236 <br />200 <br />177 <br />161 <br />'127 <br />105 <br />' 27 <br />694 <br />524 <br />467 <br />396 <br />336 <br />284 <br />233 <br />13290 <br />204 <br />222 <br />192 <br />163 <br />138 <br />113 <br />28 <br />618 <br />545 <br />470 <br />411 <br />346 <br />294 <br />242 <br />14+- <br />312 <br />270 <br />239 <br />207 <br />175 <br />148 <br />122 <br />29 <br />639 <br />504 <br />491 <br />1424 <br />W <br />903 <br />250 <br />16 <br />334 <br />29a <br />2,7 <br />224 <br />1 183 <br />X168 <br />1 131 <br />11 a0 <br />1 900 <br />1 593 <br />1 608 <br />'438 <br />1 3;4 <br />1 813 <br />1 269 <br />CURVE FIORMUL1E <br />T=R tan ' i ,- , <br />T = 50'tan R = T cot g I Chord `def ,= chard 9 <br />Sm D t� s` IR= 50 ' i s R <br />Sin D=50' Sin D �` "1 No chorda -11 I <br />R E - R ea sec 1�` I `, ' 1 , 1D <br />Sin D= 50 tan 1 ' I + <br />T : E — T tan i I, Tan def = g, chord def 1 <br />The square Wany distance, dnided by'twice the'radiue, will equal the <br />dist-ince from tangent to curve, very nearlj , _ <br />Table' IV 'contains Tangents 9nd Eiternals to a'10 curie' Tan and Ext , <br />to anY other radius may be found, nearly enough, by dnlding the Tan or <br />Ext opposite the given central angle by the given degrce,of curve <br />To find Deg of Curve, having the Central Angle and Tangent Divide <br />Tan opposite the given Central Anglo,by the,gilen Tangent <br />To find Deg of Curie,, haiiug�the •Central Angle and External Ditiude <br />Eat opposite,,the given Central Angle'byl the given External <br />To find Nat Tan and Nat 'Es Sec' for my angle by Table IV Tan <br />or Fst of twice tNe given angle 'dl'vldad bi'the radius of a 10 curve will be <br />tllf, Nat Tan or Nat (,Ex Seo _ I , <br />To find angle for a given distance -and deflection I ' <br />Rule 1 Multiply the green distance by 01745 (def for 10 for 1 A ), and <br />divide given deflection by the product 1 <br />Rule 2 Multiply glven7'dettection `by 57 3, and divide the product by <br />the given distance <br />To find deflection fora given ,angle and distance - Multiply file ang1P <br />by 01745, and the product by the distance <br />RiG,HT ANGI E TRIANGLE4 --- Square the altitude, divide by twice the base <br />Add quotient to base for bypothenuse <br />Given Ba,9e 100, Alt 10 102-200= 5 100+ 5=100 5,hyp <br />Given Hyp 100', Alt 25 252-200=3 125 100-3 125=96 875=Base <br />Error In first example, 002, In last, 045 <br />To find Tons of Rail In one mile of track multipl} weight per yard <br />bv`11 and divide b} 7 t <br />