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I <br /> °A-� DIETZGEN'S RAILROAD CURE <br /> AND, <br /> �8 r„ /, REDUCTION TABLES <br /> O AI/�/gG ' " rt7 CbWtjsht.1914,by Eugew Dietsm Co..New Tork C49 <br /> pGnji,� <br /> LO<iC fE �z dP� �,r, <br /> CURVE. FORMULAS <br /> Radium=R=�-50 (1)Degree of Curve=D and sin.p=a(2) <br /> Tangent=T=Rtan4(3)Length of Curve=L=1001(4) <br /> U • G .5, e Midis ordinate=M=R(1—cos. jf)(5) =Rvers A(6) <br /> Ile Zsternal=E=Ttan'(7)=R+cos.+-R(8)=Rexsec#(9) <br /> Long Chord=C=2 R sin.4-(10)o=Central Angle <br /> / / I EXPLANATION AND USE OF TABLES <br /> Stattons.—Given P. I.==Sta. 161+60.35 to find Sta. of P. C. <br /> T. &zw42° 10' D-8° 20'. From Table IV for 1° curve T= <br /> 8454.1 and+8X=414.49 ft. From Table V oorrection=.36 or T= <br /> �/ /� 4 y o / f�,,� �c� 414.85 ft. P. C.=9ta. P.I.—T-157+45.50. Also from (4) L•= <br /> / / "146.00 and P.T.�ta.P.C.+1.,-164+91.50. <br /> Tangent offsets vary (a <br /> /`14a -A c� Rproiimately) directly with <br /> D and with square of the distance. Thus tangent offset for Sta. <br /> 168.on above curve i92.16 ft.found as follows. From Table III tangent' <br /> offset for 100 ft.-7-27 ft. Distanoe=15"ta.P. C.=54.50t hence <br /> ofPaet-7.27 (54.50+100+=2.16 ft. Also square of any distance <br /> �e divded_by twice the radium e4uala(axroximatelY)the <br /> distance from <br /> tangent to curve. Thus (b4.80p+ pp <br /> (2688.26)=2.16 <br /> ft. <br /> DeBecdons,- -De6ect34a ani D for 100 ft., D fot 50 ft.,, <br /> etc. For a ftA- mmutes)-3:9 C x or—defi.for 1 Ott.from Table <br /> /t/1, f17 Ila e /lo•- `i ✓i �r o.� II]x C. For its. 1a$ of above curvea.3 x 54:5 x 8 136.2' or <br /> Z' '16.2',or—&50x 54.5==1W.2 from Table M. For Eta. 159 defies- <br /> >la G ¢U o; /P✓. 20. 4�s tion angle'16.2'+80 20 +2=0 26.21,etc. <br /> Ra**rWls.--May be fgand In AWlkr manner to tangents. Thus <br /> -7,")✓ +- $fbt curve above is 91.874 For trom Table IV for 10 curve Eao60.6 <br /> for:If 2(Y-4 60.6+5)5•-91.27 from Table V correction=.10 or <br /> I91.8T It. 13r suppose D and E is measured and found to be <br /> 42 ft. What is D7 From Table IV E-4W.9 and+42=5.5 or D= <br /> 5°W. <br />