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VI TAME I. -� Tangents and Externals to a 1° Curve - <br />Chord= 100 <br />urve,Chord=100 ft_ <br />int. <br />Angie <br />Tangent <br />External <br />Lnt: <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />.65 1.00 1.33 1.68 2.02 2.36 2.70 <br />3.05 <br />85°: <br />5256'3 <br />2041.7 <br />92- <br />5933.2 <br />2518.5 <br />99° <br />8.6 <br />rC.788. <br />3002.7 <br />10' <br />526.5 G <br />2052.1 <br />10' <br />5950.5 <br />2531.0 <br />10'8.4 <br />.79 1.19 11.55 2.00 2A 2.80 3.20 <br />3107.7 <br />20 <br />5281.0 <br />2062.5 <br />20 <br />5967.9 <br />2543.5 <br />208.2 <br />T=.43 <br />312`2.9 <br />3.95 JJ <br />529G.4 <br />2073.0 <br />30 <br />:7985.3 <br />255G.0 <br />308.1 <br />105° <br />3138.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2568.G <br />401 <br />2.39 2.64 2.90 3.1.6 13.41 <br />3153.3 <br />50 <br />6327.4 <br />I 2094.1 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />6808.2 <br />3168.7 <br />86 <br />5343.0 <br />2104:7 <br />93 <br />G037.8 <br />2594.0 <br />'100 <br />6828.3 <br />3184.1 <br />10 <br />5358.6 <br />2115.3 <br />10 <br />6055.4 <br />2606.8 <br />1.0 <br />6848.5 <br />3199.G <br />20 <br />5374.2 <br />2126.0 <br />20- <br />6073:1 <br />2519.7 <br />20 <br />6868.8 <br />3215.1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />6090.8 <br />2632.G <br />30 <br />6889.2 <br />3230.8 <br />40 <br />5105.6 <br />2147.5 <br />40 <br />GIOS. 6 <br />2645.5 <br />40 <br />6909.6 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 <br />50 <br />6126.4 <br />2658.5 <br />50 <br />0930.1 <br />3202.3 <br />87 <br />5437.2 <br />2160.2 <br />94 <br />6149.3 <br />2671.6 <br />101 <br />G950.6 <br />3378.1 <br />10. <br />5453.1 <br />2180.2 <br />10 <br />G162.6 <br />2684.7 <br />•10 <br />6971.3 <br />3294.1 <br />20 <br />5169.0 <br />2191.1 <br />20 <br />GIS0.2 <br />2697.9 <br />20 <br />G992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />30 <br />6198.3 <br />2711.2 <br />30 <br />7012.7 <br />3326.1 <br />40 <br />5500.9 <br />2213.2 <br />40 <br />621G.4 <br />2724.5 <br />40 <br />7033.6 <br />3342.3 <br />50 <br />5517.0 <br />2224.3 <br />50 <br />6234.6 <br />2737.9 <br />50 <br />7054.5 <br />335S.5 <br />109 <br />8032.7 <br />4137.1 <br />114 <br />5822.9 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />88 <br />5533.1 <br />2235.5 <br />95 ' <br />6252.8 <br />2751.3 <br />102 <br />7075.5 <br />3374.9 <br />10 <br />5549.2 <br />2246.7 <br />10 <br />0271.1 <br />2764.8 <br />10 <br />7096.6 <br />3391.2 <br />20 <br />5565.4 <br />22558.0 <br />20 <br />6280.4 <br />. <br />2778.3 <br />20, <br />7117:8 <br />3407.7 <br />30 <br />5581.6 <br />2269.3 <br />30 <br />0307.9 <br />2792.0 <br />30 <br />7139.0 <br />3424.3 <br />40 <br />5597.8 <br />2280.6 <br />40 <br />G320.3 <br />2805.6 <br />40 <br />7160.3 <br />3440.9 <br />10 <br />5614.2 <br />2292.0 <br />50 <br />6344.8 <br />2810.4 <br />50 <br />7181.7 <br />3157.6 <br />89 <br />5630.5 <br />2303.5 <br />90 <br />6363.4 <br />2833.2 <br />103 <br />7203.2 <br />3474.4 <br />10 <br />5646.9 <br />2315.0 <br />10 <br />6382:1 <br />2847.0 <br />10 <br />7224.7 <br />3401.3 <br />20 <br />5363.4 <br />2326.G <br />20 <br />6400.8 <br />2361.0 <br />20 <br />7246.3 <br />3503.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />6-419.5 <br />2875.0 <br />30 <br />7268.0 <br />3.-,25.2 <br />40 <br />5696:4 <br />2349.8 <br />40 <br />G438.4 <br />2889.0 <br />40 <br />7280.8 <br />3542.4 <br />50 <br />5713.0 <br />2351.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7.^,11.7 <br />3559.6 <br />90 <br />5729.7 <br />2373.3 <br />91 <br />6476. <br />2917.3 <br />104 <br />7333.6 <br />357G.8 <br />10 <br />5746.3 <br />2385:1 <br />10 <br />6495.2 <br />2931.6 <br />le <br />7355.6 <br />3594.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />6514.3 <br />2945.9 <br />20 <br />7377.8 <br />3G11.7 <br />30 <br />5779.9 <br />2408.9 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7399.0 <br />3629.2 <br />40 <br />5796.7 <br />2420.9 <br />40 <br />G552.6 <br />2974.7 <br />40 <br />7422.2 <br />3646.8 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />29 89. 2 <br />50 <br />7444.6 <br />3664.5 <br />91 <br />5830.5 <br />2444.9 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />3682.3 <br />10 <br />5847.5 <br />2457.1 <br />10 <br />6610_6 <br />3018.4 <br />10 <br />7489.6 <br />20 <br />5864.6 <br />2469.3 <br />20 <br />6630.1 <br />3033.1 <br />20 <br />7512.2 <br />.3700.2 <br />3718.2 <br />30 <br />5881.7 <br />2481.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7:734.9 <br />3736.2 <br />40 <br />5398.8 <br />2193.8 <br />40 <br />6669.2 <br />3062.8 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />GOSS.8 <br />3077.7 <br />50 <br />7580.- <br />3772.0 <br />Corrections to be Added' (T =Tangent. E. = External.) <br />Int. <br />Angle <br />Curve 5° <br />10° 15° 20° 25° 30° 351 401 <br />451 <br />50° 65° .70° <br />S5° <br />T =.33 <br />.65 1.00 1.33 1.68 2.02 2.36 2.70 <br />3.05 <br />3.40 3 4.55 4.89 <br />+,471662 <br />7603.5 <br />E =.123 <br />.259 .391 .521 .657 ."e 90 .926 LOG <br />1.20 <br />1.34 1.76 1.$1 <br />90° <br />T=.36 <br />.72 1.09 1.45 1.83 2.20 2.57 2.94 3.32 3.70 9.10 4.50 4.91 5.32 <br />10' <br />E =.149 <br />.299 .450 .603 ."e50 .910 1.07 1.22 <br />1.38 <br />1.54 1.70 1.87 2.03 2.20 <br />95° <br />10' <br />.79 1.19 11.55 2.00 2A 2.80 3.20 <br />5107.0 <br />4.02 4.49 4.98. 5.38 5.83 <br />7649.7 <br />E =.174 <br />.350 .522 ,.706 .985 1.06 1.25 1.43 <br />13.01 <br />1_62 <br />1.80 1.99 2.18 2.38 2.56 <br />190° <br />T=.43 <br />.80 1.30 1.74 2.18 2.62 3.06 3.50 <br />3.95 JJ <br />4.40 4.88 5.37 5.85 6.34 <br />3846.5 <br />E=.200 <br />.401 .604 .809 1.01 1.22 1.43 1.64 <br />1.85 <br />2.00 2.28 2.50 2.73 2.95 <br />105° <br />T=.46 <br />.94 1.42 1.90 2.38 2.87 3.343.84 <br />4.35 <br />4.84 5.35 5.87 6.40 0.93 <br />40 <br />E =.230 <br />.470 .700 .038 1.17 1.42 1.65 I1 C0 <br />2.141 <br />2.39 2.64 2.90 3.1.6 13.41 <br />TABLE 1. - Tangents and Externals to a V Curve. VII <br />Chord= 100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />'Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />TSR1reRt <br />External <br />106° <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />110° <br />9169.4 <br />5052.7 <br />10' <br />7626.6 <br />3809.4 <br />10' <br />8362.7 <br />4407.G <br />10' <br />9199.1 <br />5107.0 <br />20 <br />7649.7 <br />3827.9 <br />20 <br />8388.9 <br />4429.2 <br />20 <br />9229.0 <br />5133.3 <br />30 <br />7672.9 <br />3846.5 <br />30 <br />8415.1 <br />4450.9 <br />30 <br />9259.0 <br />5158.8 <br />40 <br />7696.8 <br />3866.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />9289.2 <br />51S4.5 <br />50 <br />7719:7 <br />3884.0 <br />50 <br />8468.0 <br />4494.6 <br />.60 <br />9319.5 <br />5210.3 <br />107 <br />7743.2 <br />3902.9 <br />1122 <br />8494.6 <br />45I6.0 <br />117 <br />9349.9 <br />5230.2 <br />10 <br />7766.8 <br />3921.9 <br />LO <br />8521.3 <br />4538.8 <br />10" <br />9380.5 <br />5262.3 <br />20 <br />7790 5, <br />3940.9 <br />20 <br />8548.1 <br />4561.1 <br />20 <br />9411.3 <br />5288.6 <br />30 <br />7814.3 <br />3960.1 <br />30 <br />8575.0, <br />4583.4 <br />30 <br />9442.2 <br />5315.0 <br />40 <br />7338.1 <br />3979.4 <br />40 <br />8602"1 <br />4606.0 <br />40 <br />9473.2 <br />5341.5 <br />50 <br />7862.1 <br />3998.7 <br />50 <br />8629.3 <br />4628.6 <br />50 <br />9504.4 <br />5368.2 <br />108 <br />7886.2 <br />4018.2 <br />113 <br />8656.6 <br />4651.3 <br />118 <br />9535.7 <br />5395.1 <br />10 <br />7910.4 <br />4037.8 <br />10 <br />8684.0 <br />4674.2 <br />10 <br />9567.2 <br />5422.1 <br />20 <br />7934.6 <br />4057.4 <br />20 <br />8711.5 <br />4697.2 <br />20 <br />9598.9 <br />5440.2 <br />30 <br />7959.0 <br />4077.2 <br />30 <br />8739.2 <br />4720.3 <br />30 <br />9630.7 <br />' 5476.5 <br />40 <br />7983.5 <br />4097.1 <br />40 <br />8767.0 <br />4743.6 <br />40 <br />9662.6 <br />5504.0 <br />50 <br />8008.0 <br />4117.0 <br />50 <br />8794,.9 <br />4766.0 <br />50 <br />9694.7 <br />5531.7 <br />109 <br />8032.7 <br />4137.1 <br />114 <br />5822.9 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />10 <br />8057.4 <br />4157.3 <br />10 <br />8851.0 <br />4814.1 <br />10 <br />9759.4 <br />5587.4 <br />20 <br />8082.3 <br />4177.5 <br />20 <br />8879.3 <br />4837.8 <br />20 <br />9792.0 <br />5615:5 <br />30 <br />8107.3 <br />4107.9 <br />30 <br />8907.7 <br />4861.7 <br />30 <br />9824.8 <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />9857.7 <br />5672. <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8065.0 <br />4909.9 <br />50 . <br />9890.8 <br />5700.0 <br />110 <br />8182.8 <br />4259.7 <br />115 <br />8993.8 <br />4934.1 <br />120 <br />9924.0 <br />5729.7 <br />10 <br />8208.2 <br />4280.5 <br />10 <br />9022.7 <br />4958.6 <br />10 <br />9957.5 <br />5758.0 <br />20 <br />8233.7 <br />4301.4 <br />20 <br />9051.7 <br />49832.1 <br />20 <br />9991.0 <br />5787.7 <br />30 <br />8259.3 <br />.4322.4 <br />30 <br />9080.9 <br />5007.8 <br />30 <br />10025.0 <br />5817.0 <br />40 <br />8285.0 <br />4343.6 <br />40 <br />9110.3 <br />5032.6 <br />40 <br />10059.0 <br />5846.5 <br />50 <br />8310.S <br />4364.8 <br />50 <br />9139.8 <br />5057:G <br />50' <br />10093.0 <br />5876.1 <br />Corrections to be Added (T =Tangent. E = External.) <br />5° 10° <br />1S° 20° 1 <br />25° <br />30° <br />35° 40° <br />45° 50° <br />1 55° 1 60° <br />65° 70° <br />Anglo <br />.Curve <br />T=.43 <br />1.30 1.74 <br />2.18 <br />2.62 <br />3.06 3.50 <br />3.95 4.40 <br />4.88 6.37 <br />5.85 9.34 <br />100° <br />.86 <br />E=.200 .401 <br />.604 .809 <br />1.01 <br />1.22 <br />1.43 1.64 <br />1.85 2.06 <br />2.28 2.50 <br />2.73 2.98 <br />T=.48 .94 <br />1.42 1.90 <br />2.38 <br />2.87 <br />3.34 3.84 <br />4.84 <br />5.35 8.87 <br />6.40 6.93 <br />105° <br />E =.230 .470 <br />.700 .938 <br />1.17 <br />1.42 <br />1.65 1.90 <br />.4.35 <br />2.14 2.39 <br />2.64 2.90 <br />3.16 3.41 <br />T=.50 1.03 <br />1.55 2.08 <br />2.60 <br />3.14 <br />3.66 4.21 <br />4.70 5.31 <br />5.86 OAS <br />7.01 7.50 <br />110° <br />E x.260 .535 <br />.808 1.08 <br />1.36 <br />1.63 <br />1.01 2.19 <br />2.49 2.61 <br />3.05 3.35 <br />3.65 8.95 <br />T=.54 1.13 <br />1.70 2.29 <br />2.86 <br />3.45 <br />4.03 4.63 <br />5.23 5.83 <br />6.44 7.07 <br />7.70 8.36 1 <br />115° <br />E =.907 .824 <br />.939 1.26 <br />1.57 <br />1.89 <br />2.21 2.54 <br />2.87 3.20 <br />3.63 3.88' <br />4.23 4.58 <br />12D° <br />T=.81 1.25 <br />1.89 2.52 <br />3.t8 <br />3.81 <br />4.44 5.11 <br />5.78 6.44 <br />711 7.80 <br />8.51 9.21 <br />E =.339 .720 <br />1.03 1.45 <br />1.82 <br />2.20 <br />2.L6 2.95 <br />3.33 3.72 <br />4.10 4.50 <br />4.91 537 <br />