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1 <br /> l�­i _J q N - DiETZG -NOS ' RAILROAD CURVE <br /> - AND <br /> g REDUCTIQN,TABLES. <br /> FIELDBOOK <br /> Oc�p+risLt.lsi{,by Euaeus Dmteawn Co.,New York <br /> CIO <br /> - + i <br /> C <br /> X <br /> CURVE FORMULAS <br /> 3 - Rad€us=R= 50 (1)Degree of Curve=D and sin.WO(2) <br /> Tangent=T=Rtan; (3)Length of Curve.-L=1008(4) <br /> ' Middle ordinate=M=R(1--cos. 3)(5) =Rvere (8) <br /> Eaternal=E=Ttan 4-(7)=R+coa.#-R(8)—Rexsft <br /> ` bong Chord=C=2 R sin.;(10)&=Crntral Angle <br /> e, - - EXPLANATION AND USE,OF TABLES <br /> - Station.--Given P. I.�Sta; 161+60.35 to find Sts. of 1'. C. <br /> and P.T. 0=620 10' D-8' 20'. From Table IV for 1° curve'T%- <br /> 3484.1 and-i-8ys=414.49 ft. ]Prom Table V obrreotion=a 86.or T=• <br /> "k,Z T 1 8, o `} 414.95 ft. P. C.--Sta. P.I.—T-157+45.50. Also from (4) Lw <br /> 748:00 and P.Ma-Sts.P.C.+L-164+91.50. <br /> f h l $M,�•�` 3,�Ca 1$,8 u offsets.-:..Tangeat offsets vary (aThroaimatel ) directly+ with <br /> D and with square of the distance. us tangent offset or Sta. <br /> 31+3 1 `( 0 168 on above curve is 2.16 ft.found as€olbare. From Table llI tangent= <br /> offset for iq0 ft..7.27 ft. Dist158-4ta.P. C.--b4.G0 beace <br /> ogret 7.27`(54.60+1O 11)-2.18 ft. Also square of any d�teaee <br /> divided by twice the radius osis(aa��ttproa Also. the;distance from <br /> tangent to curve. Thus (54ft. <br /> Pefiactions.--D €action an j% D for 100 ft., . D for W ft.,: <br /> $ �4.0 8 i g etc.' For o ft.-pOn miaut").3 a7°or-.=deft.for Lilt.from Table <br /> .III x C. For Sia. 158 of above curve=.3 x 84.8 x:83136.2' .or <br /> 2° 16.2,or-2.80 <br /> �c 5445-136.2'from Tabl 1lL For fta, 159:deftac- <br /> ,'1 tionangle-°1 +7+8°20'+Z-W 26-r,,eta. <br /> ' Extemah6—May be found b Amilar nsanner to Ungenta. Thus <br /> E forQ�IO.�rppee x�borre i,191.5T� Fo1r fltmn'rabl$IV for 1°ctuwe E�.6 <br /> for 80fY+8i.27 *Ad from Table V.cq .}0 or <br /> Fo81.87 ft. Or suppose A-4606 and.B is measured and found to be <br /> 42 ft, Whatle DY From Table &=M.9V E� .9 and+42-5.5 or D-.. <br /> 50 30'. <br /> v <br />