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Pg 65
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3/10/2025 11:48:41 AM
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ji <br />CURVE TABLES <br />Published by KEUFFEL & ESSER CO. <br />- <br />- - --- <br />HOW TO USE CURVE TABLES <br />— <br />Table I. contains Tangents and Externals to a I' curve. Ta <br />t. to any other radius may be found nearly enough, by dividing tl <br />r Ext. opposite the given Central Angle by the given degree of i <br />To find Deg. of Curve, having the Central.. Angle and Tar <br />ivide Tan. opposite the given Central Angle by the given Tang, <br />To find Deg. of Curve," having the Central Angle and Ex <br />ivide Eat. opposite the given Central Angle by the given Extei <br />To find Nat -Tan. and Nat. Ex. Sec. for any angle by Table I <br />r Ext. of twice the given angle divided by the radius of a 1' cur <br />e the Nat. Tan. or Nat. Ex. Sec. <br />- <br />-- <br />— <br />- <br />1 <br />j <br />EXAMPLE <br />-- <br />,—f <br />Wanted a Curve with an Ext. of about 12 ft. Angle <br />of Intersection or 1. -P. -230 20' to the R. at Station <br />542+72. <br />/ <br />Ext. in Tab. I opposite 2311 20'= 120.87 <br />120.87+12=10.07. Say a 10° Curve. <br />Tan. in Tab. 1 opp. 23° 20'=1183.1 <br />1183.1T10=118.31.' <br />__ <br />Correction for A. 23° 20' for a 10° Cur.=0.16 <br />118.31+0.16 =118.47 =corrected Tangent. <br />(If corrected Ext. is required find in same way) <br />Ang. 23° 20'=23.33°110=2.3333=L. C. <br />— - <br />i <br />2° 19',- = def. for sta.. 542 L P. = sta. 542+72 <br />4° 49" = °' ' +50 Tan. = 1 =. 18:47 <br />—' <br />`i <br />7° 19'= " " " 543 S. C. =sta. 541+53-52 <br />2 53.53 <br />.9 ° 49j' = " " " +50 = <br />11° 40' = u " " 543-F C. Z .33.33 <br />86.86 E. C.=Sta. 543+86.8( <br />! <br />100-53.53=46.47X3'(def. for 1, ft. of 10° Cur.) =139.41' = <br />2° 1.9E=def. for sta. 542. . <br />' <br />Def. for 50 ft. =2° 30' for a 10° Curve. - <br />Def. for 36.86 ft. =11 50#' for a 10° Curve. <br />I.P.An9.Z3•Z0' -. <br />P� 9T <br />i <br />10•Ci{y`VO <br />n. and <br />[eTan. <br />,urve. <br />gent: <br />int. <br />tern al: <br />nal. <br />.: Tan. <br />ve will <br />
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