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- AND i REDUCTION TABLES <br /> lobiiehed by Eugene Distm en Co. <br /> 41 <br /> I <br /> vs >roiuttir. <br /> I <br /> �--.�- <br /> 1. Radius R=:��-- <br /> sin D/2 <br /> 2. Degree of Curve: D=100 L• Also,sin D/2=-� <br /> 3. Tangent T=R tan%I. Also,Ta T +C.C. <br /> I i <br /> Length of Curve: L=100-b ; <br /> N b. Long Chord L.C.-2R sin';g I. <br /> II i Hs Middle Ordinate: 1-R(1--ooe <br /> External E <br /> 7. R E_ <br /> cos I-R.'- Also, E=T tan <br /> � <br /> IEXPLANATION AND 08Z of TABLU <br /> If , <br /> Given P.I.Stn.83+40.7,I-45.20'and D—9'80'find: <br /> {tatlone—P,C.—P.I.—T. T—T for DCurve+ C. From Tables V and VI <br /> T-2392'8+.197-368.32-3+68.32. <br /> 2364 <br /> 92.8+.197 368.32-3+68.32. Stn. P. C--83+40.7—(3+6&42)-79+72.3s. <br /> P.T.-P.C.+L,end L, +140t L 100'="33.697.8E Tbaefere.Pz T.x(79+7288) <br /> +(6+97.08)w86+49.74; 'f'a_ ®.d <br /> �nteC 't tdr�lett6y�IMn'RSYbif+�I( f�sej I¢tj <br /> �h� + anwl with the <br /> •80—&41L P.0.-W f: ay" `]*&06XC �.-AU ft.A4*, quare <br /> of may <br /> Ii ��. <br /> didana,divided tom{ (apProsi )the dist*"Mon*W" <br /> to curve.Thub( �*p( �t it. <br /> Deflections—Deflection iS D for 100 ft.,3(D for 50 ft.,ete.For"% ft., <br /> _ - -- ISeflechon Angle Cm minute)r 6 XZ XD.For Stn.80 of above curve Deflection AD <br /> �.3 X27.62 X6.8-58.891.Alec De9eetion Angle�dfl.for L ft.from Table III X%�1 ilb <br /> X27.62-53.861. Fbr Sts.'1ET'Dde�ton Angle�b8.88'f6 a�4�8 8N.Eatsrnale—>!lorc 16 T fqt 1•ebrft with central <br /> eurvov T6 470.6 <br /> +Uarreotioe fl em Tsbkan Vl; B18+A®9 7417. <br /> - I Therefore,for 8'30' <br />