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f' i ` <br /> 1=aN Sitji-�-h an �.� .,k� ,r, b <br /> Left df° Z ' f3ac! <br /> I <br /> - <br /> � ) a° 1 7 ' 3 0" DIETZGE.N'S RAILROAD CURVE <br /> o � 30 AND <br /> 3) BOK P� REDUCTI N. TA iLi <br /> G ,t <br /> 6"t.1014.by Etgem IKetssea Cb..New Yak <br /> T P <br /> CA <br /> 7 � / S° 00 " Pr <br /> aU <br /> R <br /> M2GR 180 1 -7 G,3" <br /> CURVE FORMULAS <br /> rRadius=R— s a 60(2) <br /> P (1).Degree of Curve=D and sin.z=a <br /> PFlot7 5 p)4 e) 12- c k- + ^_i 7 " 2 Tangent=T=Rtan6' (3)Length of Curve=L=100$(4) <br /> Middle ordinate=M=R(1—cos. 1")45) =Rvers$(6) <br /> E:tarnal=E=Ttan=-(7)=R+0o0-# A(8)—Rexsec#(9) <br /> • Long Chord C=2 R sin.s(10),1=Central Angle <br /> I/ 3 c" EXPLANATION ANIS USE OF TABLES <br /> 4,11 1 --- Sutton::-Given P. I.—Sta. 161+60.35 to fund Sta. of P. C. <br /> 1 <br /> and P.T. Da62° 10' D-80 20'. From Table IV for 10 curve T- <br /> 84M.1 0' - 84M.1 and+8jj-=414.49 ft. From Table V oorrection=.,36 or T- <br /> 414.85 ft. P. C.—Sta. P:I.—T`-157.{.45.50. Also from (4).L= <br /> W7 ' <br /> 2 3 d G 746.00 sad P.T.—Sta.P.C.+is-181.-+91.50. <br /> Oft6hr—Tangent offsets vary.` ro)(mately) direetl q <br /> -7) g C n�' D #Ad:.wit6 square of the distance.�u tangent <br /> rom Tab III tan Sts. <br /> 148 a n above burve is 2.16 ft.found ae follav� g °r <br /> G L O <br /> 00' offset for 1100 ft. *7.27 ft. Distsaoe•*168--8ta.P. C.=54.50t hence <br /> o&0-7.27 (54.50+100)2==2.16 ft. Also 'square of any distance <br /> H670�r 5 ° G' 1 `1. I � divided by twits the radius equals(a xnmately)the dietenee from <br /> tangent to curve. Thus (54.50)'+(2x688.26)-2.16 ft. <br /> -beBeetions.—Deflection an&—}� D for 100 ft., }t'D for.50 ft., <br /> - eta For o ft.�in minutds).3 x.0 xW,or-deft.for 1 t.from Table <br /> III x C. For. Ata. 155 of above ourve.—.3 x 64.5 x 8H-139,2y or <br /> 2* 18.2,or-4"4 4 54.5•■}36.2'froom Table M., For late►, lag deildo- <br /> tion angle> 3°I&W+8°20;+2=$'26.2',etc. <br /> Z21400410,—M4q be found�i Wadnet to tiagon Thus <br /> -- for 7.-M <br /> s ve is$,1".87"� For frdm A IV for 1°ourve0 8 <br /> for 8° 8#9 .27 #rens ble V oorreotiarr—.10 or <br /> F,=91su�uw �p�3 'Rio asured and found to'be <br /> 3 .3 7 3• �,L,�,j / - 42(L What is DY Fmm Table YV ntad 4-42=6.5 or D. <br /> v • <br /> 0 <br /> , - • <br />