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i <br /> / —i8-7 - <br /> CURVE AND REDUCIION TABLES i <br /> _ - Published b,Ruses.Disuses Co. <br /> t 1 <br /> 60 <br /> a"TZ >1'ORMUL" <br /> 1. Radius it 50 <br /> sin D/2 <br /> 50 <br /> P p 2. Degree of Curve: D=1'00 I• Also,sin D/2= <br /> R <br /> Al Tforl'curve <br /> 3. Tangent T=R tan%L Also,T= D +C. <br /> Length of Curve: L=100 D <br /> Ii Fd Dvl f_ 7,g8 5. Long Chord L.C.=2R sin L <br /> IIS <br /> t 6. Middle Ordinate: M= <br /> �� t btier-c1 fa/'� To i di��rFr _ &�1—CasI) <br /> tan I <br /> rf I <br /> R ; <br /> 7. External E=cos%I—R. Also, E=T <br /> `t' a F"LA ATION SND USE OF TABLES <br /> Given P.I.Sts.83+40.7,1-45-20'and D—8°30'find: <br /> T for P Curve <br /> Stations—P.C.—P.I.—T. T— D + C. From Tables V and VI <br /> ,'8 <br /> T— +.197-388.32—3+68.32. Stas P. C.-83+40.7—(3+6&32)-79+72.38. <br /> P.T.aP.C.*L,and Isst190° -100 4e bf-607-38 Therefore,P,T.-(79+72.58) <br /> +(e+97.$8) 8¢tF 89}7 <br /> I1�4� ' (r m�¢mate),v) d+neotly with°D and'With <br /> I <br /> square bf tbs( � II.went Ofteet for 100 est-5.40 fest: <br /> -90—Sts P.4 Cr ON♦ x.68 X(1080/''.482 ft.A>rr.sawin of any <br /> sr <br /> �. <br /> 0 tuna, oa11aL ftapprozimatelY)the dtld!ttes hors ts8fsii <br /> rve. p <br /> ��JJ TSeflection Angle(in miantes) x ? .J, <br /> } L � De9sotiem—beaeel6loa atids-3S D for 100 ft.,j(D f�50 rtes etc.For'•%„ft., <br /> $X D.Far Sta.80 of'above curve Deflection Angle <br /> 1 i <br /> —.3 X27.62 X8.5-53.88'.Abp 3leise=Angle—dtl.for i ft.from Table III XX—1.95 <br /> X 27.92—53.88'. For NtZ. ib4flbibn Angle'°+a3.a8'+4w,w 4J 188'. <br /> j bask--From Table V fqr P curve.with obetrd-Figgie"of 4V 20 E 6-471.5. <br /> AISLE <br /> Therefore,for8°30'ournl it #'.Qofrection itr Talk V1—7.m+. —7.417. <br /> f <br /> J <br /> Y <br /> w: <br /> ♦ <br />