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Aen .e 944-4, y el rarn Z 3 td,5 <br /> L x x x DIUZGE.N'S R AILROA DCURVE <br /> 8 o AND <br /> y <br /> FiE SCO K 4 <br /> REDUCTION TABLE-S.'", <br /> OWrisht,1914.byEupw Dietum Co.,Now Xcrk CVW <br /> T Ne <br /> r72to r 7r�b 1 n 6 �fi6?1 &aM b <br /> • <br /> s'S7fSB Ae e If Soo-i e t _ CURVE FORMULAS <br /> / <br /> =3 0 ice / _52 " Radius=R=e1 o (1)Degree of Curve=D and sin.3=x(2) <br /> �7- Tangent=T=Rtan� (3)Length of Curve=L=loan(4) <br /> Vd IPA c l�Q�,�7 f Middle ordinate=M=R(1—cos. �(5) =Rvers'(6) <br /> r'�0?2G lo d' External=E=Ttan�-(7)=R-cos.g R(8)=Rexsec (9) <br /> %' o LorE Long Chord=C=2 R sin,a(10)&=Central Angle <br /> S'3It31 CC/ C r p 't i/ �•�'a•0�f,A EXPLANATION AND USE OF TABLES <br /> a � •/ 1*,4' 0,4 Z o <7,ee A� Stations.--Given P.;I.--=Sts: 161+60.35 to find Sta. of P. C. <br /> and P.T. pr�2° 10' Dom`20'. From Table IV for 1° curve T= <br /> �/Vq f A-IVC Q 3 f e5/ 3x154.1 and-f-8%=414.49 ft. From Table V correction=.36 or T <br /> 414.85 ft. P. C.=-Sta. P.I.—T-157+45.50. Also from (4) <br /> •04 to-$_ -i7 c' L° a,S tot, �a►�� 746.00 and P.T..=Sta.P.C.+L=164+91.50. <br /> offsets.—Tangent offsets vary (approximately) d#reotl 'h <br /> 4^�df'7 �eCl:° l� 7'1- e.st D and with square of the distance. Thus tangent offset for 8te►. <br /> 15$on offset=7.27(54.50 100)9=2. 6 curve is 2.16 ft. it. Also square of Tablellows. From III <br /> dist�tr <br /> �7 f� �o �j f <br /> offset for 100 ft. 7.27 ft. Distance=15"ta.P. C.�4.50t hese <br /> -- once <br /> 44+}G a e�j C ��� " ,$ divided by twice the radius equals< pproximael)thq distance from <br /> __ _.__-. tangent to+curve. Thus (54.55 )s+ 2x688.26 216 ft. <br /> ` �p Deflections.—pefioction angle=34 D for 100 ft., 1/ D for 50 ft., <br /> 44S-0 t Pr1ed'"• . C etc, Fvr c ft.=(u minutes).3 x C x D°or=-deft.for 11t.from Table <br /> III.x C. For Sta. 156 of above ourve—.3 x 54.5 x 8 —136.2' or <br /> #tz 27c G ,s 2° 16.2',w==2.50 x 54.5136.2'from Table III. For Eta. 159 dem <br /> } tion angle-_=r16.2'�-8°20'x-2=8°26.2',etc. <br /> �� /?/VV / QfA Externals.—May be found in s�aIF mangier to tangents. Thus <br /> ,p - E for curve above is 91.37. For from Table IV for 10,curve E�60.6 <br /> /IIfA 3 ¢ _ for,8° 2U'�60.6+8,4==K.27 and from Table V oorrectionw-.10.or <br /> F,=91.37 fL Or Appose &=32°and E is measured and found to be <br /> -3 p ,tL7 <br /> levee5 42 ft. What is D? From Table IV F_—M.9 and t42&S or D._ <br /> E <br /> w <br /> R <br /> � t <br />