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M ROVECJ TABLES <br /> ES <br /> /D7 /ax % Air D` <br /> --1/3. INFORMATION <br /> /oma .y.i. // /• r/ _. ,: � _ � � <br /> 3,38 <br /> j/ <br /> 9- '- off• /�� <br /> /♦ o ,9/ - 3 .0 8 CURVE FORMULAS <br /> ,ra.n (1) Degree of Curve=-D and da. •(2} <br /> 33 f /i1.98 / T%ngsnt= T=RtanA(3)Length of Curve-La10ot(4) <br /> 20 Middle ordinate-M=R(1-coe.-°•) (5)-Rvers s(6) <br /> 3.sExternal=E=TtanA,,-(7)=R+coe.4-R(8)-Rekee4(9) <br /> / 9 S•i _ Lo Chord sin (10) &central le <br /> /I _ /� .Sp ' �, ng 2 Ane <br /> AND XATTox USE OF TAB <br /> oLES <br /> 7 <br /> cl . cr- 3j /io.Ga <br /> �.3-� �.>.� �' Statloias.--diivea P. T mss. 161-{-80.35 to find 8ta. of P. C. <br /> and P. T. pm62° 10' D-80 W. From Table IV for 1° curve T= <br /> 3454.1 and+8 _41C19-ft. "From Table V aorreettioha.36 or T= <br /> 414A ft. P. :-Sta. F. .--T-157 +45.50." Also from (4) L- <br /> 7+16,.00 and P.T.;Bta.P.C.+L-184+91.50 <br /> Ofte06--Tangent offsets va (spproxfmately) direct with <br /> 07• X01 r' �� 9 0 1 v , �/ •?/ D and wi of the distsnae. Thus tangent offset for,feta.: <br /> y/ ,3 •f,� ;on is 9.1 ft.found as follows. From Table 1111 tangent <br /> • _ i'.27 ft. Dfstoneep-158-Sttl. P C.=54 80 hence <br /> 1.s St; <br /> 4.16'ft. Also'square of any"�Z-;Ce <br /> di thens u is(appprrooximately) the dieteAm from <br /> ` a ' 688.26) 2 16 ft. <br /> 06' 2,27 target-toout+ . Vb4.flo +(2 x <br /> e: �.SZ I]eflectloIBefleettoa sagle� ¢ D for 100 ft., / D for 50 ft., <br /> For a ft. m3sutasj .3 x x I��or-�+defi. for 1t.from Taik <br /> �� c II x C. Fort. 158 of above eurve-.3 x 54.5 x 84-186.2' or <br /> // 2'0 16.21,or-2.50 x 54.5-186.2'from Table IIT.,For 8ta. 169 dedee- <br /> i r 2.8 S tion'°18.2' +80 201 +2=6°26.21,eta. <br /> *;*4t4.r--May be found in similar:zn,u �•to tangents. Thus <br /> l`l:for off: is 11&W. For from Table IV.for,.1°curve Fp-,W&6 <br /> v'f /7 q /o a f 84 XY SrI B 11&27 and from Table-v' 10 or <br /> 11 ft. .' �'l°and 18 fs and'fo+aad to be <br /> 1 l y 42 gftp. w .t la DIM=F •�able'IV E�0.9 and +42*w&5 or D- <br /> a°W <br /> s <br /> Aw <br /> • F � <br />