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F 1 ELD BOO 52 <br /> r'zj� 7 - CURVE TABLES. <br /> y 2v � Published by KEUFFEL & ESSER CO. <br /> HOW TO USE CURVE TABLES. <br /> 2 L j 3 9 y /y' � 4 Table I. contains Tangents and Externals to a V curve. Tan.and <br /> - -6--- --- -- Ext.to any other radius maybe found nearly enough,by dividing the Tan. <br /> 4,74 Z / 3 or Ext.opposite the given Central Angle by the given degree of curve. <br /> 3 _ _ f-< < To find Deg. of Curve, having the Central Angle and Tangent: <br /> — Divide Tan.opposite the given Central Angle by the given Tangent. <br /> L / 3 p To find Deg. of Curve, having the Central Angle and External: <br /> ,{✓ Y 3 3 ' -Y_kl --- /-y,O; - Divide Ext. opposite the given Central Angle by the given External. <br /> ,3.�_0 I L, To find Nat.Tan.and Nat.Ex.See.for any angle by Tabled:::Tan. <br /> �—� -- ---- t or Ext.of twice the given angle divided by the radius of a 1°curve will <br /> be the Nat.Tan.or Nat.Ex.Sec. <br /> 1 73- - rd, EXAMPLE. <br /> 4 r' y Wanted a Curve with an Ext. of about 12 ft. Angle <br /> y & / S.��� 3 ` •� 7 13 ofFt72section or I. P.=23* 20' to the R. at Station <br /> y� y <br /> / . I 8-3 y �-- Ext.in Tab. I opposite 230 2a=120.87 <br /> -_ -9 f3$ 3 120.87=12=10.07. Say a 10'Curve. <br /> 3 ti 2 /7 J Tan.in Tab. I opp.230 20'=1183.1. <br /> 1 '0 _� — 1183.1=10=118.31. <br /> • ✓ / /1 r L Correction for A.23°20'for a 10°Cur.=0.16 <br /> -_4 7�s _--_ ._ - -_-_y- n__ -_ _7- 118.31-{-0.16=118.47=corrected Tangent. <br /> 7- , 2 7 3 d 3 (If corrected Ext.is required find in same way) <br /> 7 7 — Ang.23°20'=23.33°=10=2.3333=L. C. <br /> 2 !J 20 19J'=def.for sta. 542 I. P.=sta. 542+72 <br /> 7 / b - /` _— 4°492'= « .u +50 Tan.= 1 .18.47 <br /> , v /y 7°19 J'= �, « ro 543 <br /> -- 8 .!• /�, d- - - 9°491'—_ cc �c a +50 B.C.=sta. 541+53.53 <br /> l v y - 11°40'= « a a. 543 {- L.C.= 2 .33.33 <br /> f Q 86.86 E. C.=Sta. 543+86.86 <br /> �- z,l o - �{Q- I �- - z4 �° - 100-53.53=46.47X3'(def.for 1 ft.of 10°Cur.)=139.41'= <br /> r� f 2° 19 def.for sta:542. <br /> ( 3 /- `-- 3 -- !' y- — Z f,g - Def.for 50 ft.=2°30'for a 10'Curve. <br /> 1 6 Zig Def.for 36.86 ft.=1°501'for a 10°Curve. <br /> y 3 <br /> L _. / y� 9 LzrO-•iif - <br /> - _--_- <br /> p� 4ax <br /> N I.P.Ars.2/3/•20' <br /> i0•cu - <br /> .. <br /> ga'w <br /> 3 L �L j t o a. <br /> i 2, <br /> 1 9y 1 <br /> J <br /> 0 <br />