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r L <br /> FI�LI� 0O 45 <br /> IMPROVED TABLES <br /> AND <br /> INFORMATION <br /> 7' <br /> t <br /> 1 <br /> CURVE FORMULAS <br /> Radius—R=-�&0(1) Degree of Curve-D and sin.D�-- (2) <br /> Tangent—T-Rtan°T(8)Length of Curve=I==10 D(4) <br /> Middle ordinatemwK?-R(1--co0s.1)(5)=Rvers A (6) <br /> T?aternad F�Ttan°r(7)=R+cap z R(8)=Rexee g(9) <br /> Long Chord=C=l R sin.y(10) p�entral Angle <br /> EXPLANATION AND USE OF TABLES <br /> Stations.-Given P. I.=9ta. 16t+60.36 to fW Sta. of P. C. <br /> and P. T. p==82' 10' D=8' 201. From Table IV for,l'curve T= <br /> 3454.1 and+8)J=414.49 ft. From Table V aorreation—.36 or T= <br /> 414.85 ft.:P. C.=4%& P.L—T=157 +45.K Also from (4) I, <br /> 746.00 and P.T.==Sta.P.C.-¢Z=164-x-91.50. <br /> Offsets.—Tangent offsets vary (approximately) directly with <br /> D and with square of the distance. Thus hinge t offset for Sta. <br /> 158 on above curve is 2.16 ft.found as follows..From able III tangent <br /> offset for 100 ft.-7.x7 ft. DIetanee=158--Sta. P. C.=54.50 hence <br /> offset-7.27 (54. +X00) 2.16 ft. Also square-of any Iznce <br /> divided by twice a iauiius uals (approximately) the distance from <br /> tsa t tosurve. "Thal(5C50)I-(2 x 688.26)x.16 ft. <br /> �.-=DeOeotion angle—% D for 100 ft., � D for 50 ft., <br /> 1 <br /> etc. For cf�tt,, asiut►gtes) .8 x C x DD°wi=& .for 1 t.from Table <br /> III x C. I�'c�r .'I58 of above curve=.3.x 5&5 x 8 236 2' or <br /> 2' 18.2'; 1 0`x"0-136.2'from Table IIt For Sts. 1,59 deflec- <br /> tion angle'W!r+V 201 +2-6'26.21,'etc. <br /> lcttaral lil e-+lldaabo found in similar manner`to, t&D#mts. Thus <br /> E for eurvgais 11&87A For from Table IV for I'.curve Em960.6 <br /> 'for 8°29' g.8+ 8 115.27 4d from Table V 10 or <br /> B-11&97 Vit. Os ADB'and E is measured and found to be <br /> 42 ft. What s I*k IV E—M.9 and +42-6.5 or D- <br /> 5°30'. <br />