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J679 <br /> �s-+ <br /> F.I�i� CURVE <br /> iETZG <br /> AND 4 3 6 <br /> EDMTION TABLESt, <br /> a 2' <br /> 7 <br /> -4. a 1 a by Mx,=*DWtm=Ca.M—Yank CNr <br /> ' T 1 <br /> q �- Q,,. 'D, t z t!G z 1-, <br /> 9 <br /> 3°St8� 'd o,fo S-q 3 � 1+9t,�rc'J I,� � � <br /> -3s 4� V 1 Ca 0 L , 4 1•�-, S:(p CURVE FORMULAS 4. <br /> .• <br /> 4j"# sr i s _e;3 " 'Radius=ll,=4#�.tv l o o _N� Co .4 �(1)Degree of Curve=D and sin.�_$(� <br /> s:me� a /7.5 i , <br /> _t6 `E 1 Tangent=T=Rtan .(3)Length of Curve=L=100 (4) <br /> „ , 9 , Y <br /> fi Middle ordinate=M=R(1— 6y)6y)(5) =Rvere 6(6): <br /> zf External=E=Ttan-j-(7)=R=cos. -R(8)=RexsB } <br /> • 3_ 9 r®t� q•.s -e,sa Long Chord=C=2 R sin,a-(10)o=Central Anglo <br /> -ir -EXPLANAWN AND USE, OF TABLES <br /> —Given P. I.=$ta. 161+60.35 to find $ts of ' <br /> ap 3 and T. p,.=62' 10' D--8°20'. From Tab1e.IV for 10 aurvi • <br /> 3,i 73464.1P.and+8 414.49 h. From Table Y oorrectio»�.86 <br /> ft. <br /> P. .�Sta. P.I.—T=157+45.80. Also from (4) + <br /> l3 3 /Z `�= 48.00 <br /> and P.T.-Sta.P.C.+L---164+91.50. <br /> OfEsetIL T eat offsets v (approximately g��, <br /> 1$ <br /> 4 c a� ) du 4th" <br /> �-14-v-o 1 0 ,6 F-0 1 r; ,r/0,6 -!0.1,9 D and with sq are of the distance. us tangent offedt r 81s. <br /> - s5 - JSB.pnpbove curve i*JA6 ft.found as follows. From Table It t, <br /> Tor 100 ft.=7.27G_ Distant 158-,8ta.P. C.�=H So <br /> 4 7 s v S <br /> -7,7 F o:8 7.27 54.50+1W)2-2.16 ft. Also square of any d=1 <br /> twice the radius equals a + <br /> � eq ( P nmatelyJ the d�Gmce� <br /> pro <br /> 7 c t 'z 1�. !T $fit to curve. L Thus (54.50)'T(2 x 688.28) 2.16 <br /> Deflection an e D for 100 ft., Z-for$0 ft., r <br /> as o ft.—(in minutes).3 C x�°oriel for 1 t. <br /> from'Tgble <br /> c e 4 y / - Z�i C. For Sta. 158 of above curve--.3 x 54.5 a'8 135.$', or <br /> ot +R2 80xb4 6-436.2'from'Table IIS. For-May bq found in similar meaner to tapSenbs. Thus <br /> lir some above'is 91.$7. For frou Table IY for 1'cwnwe''Ed980.6 <br /> for 8° 20'==960.6o-8%-01.27 apd, from Table Y correction—.10 or <br /> $ :`� s v - E--91.37 ft. Or suppose,p and E is msaau+ed and found to be <br /> 421L What is DY From-Table IV FAOM.9 and+4bw6 or Dw- t, <br /> Mal <br /> • <br /> v • <br />