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r <br /> DILTZGEN'S RAILROAD CURVE <br /> --v O +. - r `' AND <br /> - <br /> a REDUCTION TABLES <br /> 2 t ' 1.0 1 .� ! S g 1 r Coo i&t.1914,by Eume Distsyea Co.,Now York Ctp► <br /> rk � y, 19< �} • M7 'o <br /> l ,o 1 � <br /> CURVE FORMULAS <br /> i <br /> Radius=R= nT 0 (1)Degree of Curve=D and sin.a=B( 2) <br /> If <br /> Tangent=T=R.tanAl (3)Length of Curve=L=100(4) <br /> Middle ordinate-M=R(1-cos. b(5) =Rvers <br /> External=E=Ttanz-(7)=R+cos.•i-R(8)=Rexsec#(9) . <br /> Long Chord=C=2 R sin. (10),&=Central Angle <br /> 13 y t g I EXPLANATION AND USE OF TABLES <br /> b Stations.--Given P. I.=-Ste. 161+60.35 to find.Sta. of P. C. ' <br /> and P.T. p-62° 10' Ds8 201. From Table IV for 1° curve T- <br /> 3454.1 and+8W=414.49 ft. From Table V correction=--.86 or T- <br /> �( t 1 s 4 414.85 it. P. C-Sta. P.I.-T-157+45.50. Also from (4) L� <br /> 3 746.00 and P.T.-Sta.P.C.+LF-164+91.50. <br /> - OSsets.-Tan t offsets <br /> gen vary' (_pplmdmately) directlywith <br /> D and with square of the distance. TThhus tangent offset fr Eta. <br /> 1 q,O 158 on above curve is 2.16 ft.found as follows. From Table III tangent <br /> offset for 100 ft.-7.27 ft. Distance-.158-Sta.P. Q-44.50,heam <br /> a <br /> offaet�7.27 (54.50-t 1001.16 ft. Also square of any distsitoe <br /> divided b twine the radlus uals s <br /> 4 p i y ( pProximately)the distance fmm <br /> '� l g g I tsngent to curve. Thus (54p+(2 a 688.262.16 ft. <br /> I Deflections.-Deflection angie�3�D for 100 ft., D for 50 it., <br /> I t eta. For o ft.�Gn minutes).3 x C z D°oldefi.for lt.from Table. <br /> III z C. For 8ta. 158 of above curve-.3 a 54.5 a 8a136.2' or <br /> 1 4,S I I w, 2° 16.2,ors2.50 x84.5=136.2'from Table III. For Sta.'159 deBeo <br /> 7 i ! �I i - tion angled°16.2'+8°20'+2�°26.2',etc. <br /> f1 j 47 E for curve�alxiveMls 91 37�found <br /> tin a�Ie IV similar or 1"curve gents. Thus <br /> for.8° 20'-960.6+8)•y---q1.27 and from Table V aorreothon=.10 or <br /> E-91.37 ft.-Or suppose p=-k2°and E is measured and found to be <br /> 42 ft. Whit is D4 From Table IV E-230.9 and+42••5.5 or D. <br /> y6°30'. <br /> lb - - - <br /> V <br />