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[null,null,null,"This Design Calculation Spreadsheet is provided \"as-is\" without warranty of any kind. The Montana Department of Transportation makes no representations or warranties whatsoever with respect to the accuracy or completeness of this tool and assumes no responsibility for the suitability of this tool for a particular purpose; and MDT will not be liable for any damages incurred as a result of errors in this tool. \n\nBy selecting Accept, you are agreeing to these terms and conditions."]
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[null,null,null,null,null,null,null,null,null,null,"WARNING: \nFor the tool to work properly, please make sure you click on \"Enable Content/Macros\" if the security warning appears."]

{"sheet":"Horizontal Curve Info","index":1,"n_rows":4,"n_cols":7,"rows_kept":4,"cut":false,"hidden":true,"merged":[]}
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["Design Speed",null,"MPH"]
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["Curve PI Station","Curve Radius (ft)","Curve Direction, LT or RT","Curve PC Station ONLY USED FOR SIMPLE CURVES","Curve PT Station ONLY USED FOR SIMPLE CURVES","Curve TS Station ONLY USED FOR SPIRAL CURVES","Curve ST Station ONLY USED FOR SPIRAL CURVES"]

{"sheet":"Superelevation","index":2,"n_rows":100,"n_cols":40,"rows_kept":100,"cut":false,"hidden":true,"merged":[]}
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["Design Speed",{"$f":"IF('Horizontal Curve Info'!B2=\"\",\"\",'Horizontal Curve Info'!B2)","v":""},"MPH"]
[null,null,null,null,30,35,40,45,50,55,60,70,80,null,null,null,null,null,null,null,null,null,null,null,"C",null,null,"A","B","C","E","E'",null,null,"C'","C'"]
["Curve PI Station","Curve Radius (ft)","Curve Direction, LT or RT","Minimum Radius (ft) for Design Speed","mph Design Speed e (%)","mph Design Speed e (%)","mph Design Speed e (%)","mph Design Speed e (%)","mph Design Speed e (%)","mph Design Speed e (%)","mph Design Speed e (%)","mph Design Speed e (%)","mph Design Speed e (%)","Superelevation rate, e (ft/ft)","Spiral, S or Simple Curve, C","Curve PC Station ONLY USED FOR SIMPLE CURVES","Curve PT Station ONLY USED FOR SIMPLE CURVES","Curve TS Station ONLY USED FOR SPIRAL CURVES","Curve ST Station ONLY USED FOR SPIRAL CURVES","Superelevation Runoff Length, L (ft)","Tangent Runout Length, TR (ft)","Minimum Tangent\nTransition To Normal Crown Between Curves\n(ft)","Minimum Tangent\nReverse Curve Continuously Rotating Plane\n(ft)","Transition","Begin Superelevation Transition LT","Adverse Cross-Slope Removed LT Station In","Reverse Cross-Slope (+2%) LT Station In","Begin Superelevation Transition RT","Adverse Cross-Slope Removed RT Station In","Reverse Cross-Slope (+2%) RT Station In","Begin Full Super LT & RT (End Trans.)","End Full Super LT & RT (Begin Trans.)","Reverse Cross-Slope (+2%) LT Station Out","Adverse Cross-Slope Removed LT Station Out","End Superelevation Transition LT","Reverse Cross-Slope (+2%) RT Station Out","Adverse Cross-Slope Removed RT Station Out","End Superelevation Transition RT","SUM RT","SUM LT"]
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[]
["Curve PI Station","Curve Radius (ft)","X1","Y1","X2","Y2","Y","Clear Zone Multiplier on Outside of Curve"]
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{"sheet":"RDM Ex. 3-5","index":5,"n_rows":23,"n_cols":46,"rows_kept":23,"cut":false,"hidden":true,"merged":[[3,1,4,3],[2,0,4,0],[3,4,3,5],[2,3,2,5],[13,1,13,2],[13,4,13,5],[2,13,2,15],[3,11,4,13],[3,14,3,15],[13,11,13,12],[13,14,13,15],[2,8,2,10],[3,6,4,8],[3,9,3,10],[13,6,13,7],[13,9,13,10],[2,23,2,25],[3,21,4,23],[3,24,3,25],[13,21,13,22],[13,24,13,25],[2,18,2,20],[3,16,4,18],[3,19,3,20],[13,16,13,17],[13,19,13,20],[2,33,2,35],[3,31,4,33],[3,34,3,35],[13,31,13,32],[13,34,13,35],[2,28,2,30],[3,26,4,28],[3,29,3,30],[13,26,13,27],[13,29,13,30],[2,43,2,45],[3,41,4,43],[3,44,3,45],[13,41,13,42],[13,44,13,45],[2,38,2,40],[3,36,4,38],[3,39,3,40],[13,36,13,37],[13,39,13,40]]}
["Exhibit 3-5"]
["Rate of Superelevation and Minimum Length of Transition (Two-Lane, Two-Way Roadways in Rural Conditions)"]
["e","V = ",30,"mph",null,null,"V = ",35,"mph",null,null,"V = ",40,"mph",null,null,"V = ",45,"mph",null,null,"V = ",50,"mph",null,null,"V = ",55,"mph",null,null,"V = ",60,"mph",null,null,"V = ",70,"mph",null,null,"V = ",80,"mph"]
[null,"R (ft)",null,null,"Trans. Length",null,"R (ft)",null,null,"Trans. Length",null,"R (ft)",null,null,"Trans. Length",null,"R (ft)",null,null,"Trans. Length",null,"R (ft)",null,null,"Trans. Length",null,"R (ft)",null,null,"Trans. Length",null,"R (ft)",null,null,"Trans. Length",null,"R (ft)",null,null,"Trans. Length",null,"R (ft)",null,null,"Trans. Length"]
[null,null,null,null,"L (ft)","TR (ft)",null,null,null,"L (ft)","TR (ft)",null,null,null,"L (ft)","TR (ft)",null,null,null,"L (ft)","TR (ft)",null,null,null,"L (ft)","TR (ft)",null,null,null,"L (ft)","TR (ft)",null,null,null,"L (ft)","TR (ft)",null,null,null,"L (ft)","TR (ft)",null,null,null,"L (ft)","TR (ft)"]
["NC",null,"R ≥ ",3240,0,0,null,"R ≥ ",4260,0,0,null,"R ≥ ",5410,0,0,null,"R ≥ ",6710,0,0,null,"R ≥ ",8150,0,0,null,"R ≥ ",9720,0,0,null,"R ≥ ",11500,0,0,null,"R ≥ ",14500,0,0,null,"R ≥ ",17800,0,0]
[0.02,{"$f":"D6","v":3240},"> R ≥",2370,36,36,{"$f":"I6","v":4260},"> R ≥",3120,40,40,{"$f":"N6","v":5410},"> R ≥",3970,42,42,{"$f":"S6","v":6710},"> R ≥",4930,44,44,{"$f":"X6","v":8150},"> R ≥",5990,48,48,{"$f":"AC6","v":9720},"> R ≥",7150,52,52,{"$f":"AH6","v":11500},"> R ≥",8440,54,54,{"$f":"AM6","v":14500},"> R ≥",10700,60,60,{"$f":"AR6","v":17800},"> R ≥",13300,70,70]
[0.03,{"$f":"D7","v":2370},"> R ≥",1480,54,36,{"$f":"I7","v":3120},"> R ≥",1960,60,40,{"$f":"N7","v":3970},"> R ≥",2510,63,42,{"$f":"S7","v":4930},"> R ≥",3130,66,44,{"$f":"X7","v":5990},"> R ≥",3820,72,48,{"$f":"AC7","v":7150},"> R ≥",4580,78,52,{"$f":"AH7","v":8440},"> R ≥",5420,81,54,{"$f":"AM7","v":10700},"> R ≥",6930,90,60,{"$f":"AR7","v":13300},"> R ≥",8700,105,70]
[0.04,1480,"> R ≥",1030,72,36,1960,"> R ≥",1370,80,40,2510,"> R ≥",1770,84,42,3130,"> R ≥",2220,88,44,3820,"> R ≥",2720,96,48,4580,"> R ≥",3270,104,52,5420,"> R ≥",3890,108,54,6930,"> R ≥",5050,120,60,8700,"> R ≥",6420,140,70]
[0.05,1030,"> R ≥",730,90,36,1370,"> R ≥",1000,100,40,1770,"> R ≥",1310,105,42,2220,"> R ≥",1650,110,44,2720,"> R ≥",2040,120,48,3270,"> R ≥",2470,130,52,3890,"> R ≥",2960,135,54,5050,"> R ≥",3910,150,60,6420,"> R ≥",5050,175,70]
[0.06,730,"> R ≥",510,108,36,1000,"> R ≥",720,120,40,1310,"> R ≥",970,126,42,1650,"> R ≥",1250,132,44,2040,"> R ≥",1560,144,48,2470,"> R ≥",1920,156,52,2960,"> R ≥",2320,162,54,3910,"> R ≥",3150,180,60,5050,"> R ≥",4140,210,70]
[7.0000000000000007E-2,510,"> R ≥",360,126,36,720,"> R ≥",520,140,40,970,"> R ≥",720,147,42,1250,"> R ≥",940,154,44,1560,"> R ≥",1190,168,48,1920,"> R ≥",1480,182,52,2320,"> R ≥",1820,189,54,3150,"> R ≥",2580,210,60,4140,"> R ≥",3480,245,70]
[0.08,360,"> R ≥",220,144,36,520,"> R ≥",320,160,40,720,"> R ≥",450,168,42,940,"> R ≥",590,176,44,1190,"> R ≥",760,192,48,1480,"> R ≥",960,208,52,1820,"> R ≥",1200,216,54,2580,"> R ≥",1810,240,60,3480,"> R ≥",2670,280,70]
[null,"Rmin = ",null,220,"ft",null,"Rmin = ",null,320,"ft",null,"Rmin = ",null,450,"ft",null,"Rmin = ",null,590,"ft",null,"Rmin = ",null,760,"ft",null,"Rmin = ",null,960,"ft",null,"Rmin = ",null,1200,"ft",null,"Rmin = ",null,1810,"ft",null,"Rmin = ",null,2670,"ft"]
["Key:"]
[null,"emax = 8.0%"]
[null,"Lane width = 12 ft (L & TR values for other lane widths can be determined using Equations 3.3-1 & 3.3-2, respectively)"]
[null,"R = Radius of curve, ft"]
[null,"V = Design speed, mph"]
[null,"e = Superelevation rate, %"]
[null,"L = Minimum length of superelevation runoff (from adverse slope removed to full super), ft"]
[null,"TR = Tangent runout from NC to adverse slope removed, ft"]
[null,"NC = Normal crown = 2.0%"]

{"sheet":"RDM Ex. 9-3","index":6,"n_rows":16,"n_cols":16,"rows_kept":16,"cut":false,"hidden":true,"merged":[[2,0,3,0],[2,1,2,6],[2,9,3,9],[2,10,2,15]]}
["Exhibit 9-3"]
["Clear Zone Adjustment Factors for Horizontal Curves"]
["Radius\n(ft)","Design Speed (mph)",null,null,null,null,null,null,null,{"$f":"A3","v":"Radius\n(ft)"},{"$f":"B3","v":"Design Speed (mph)"}]
[null,40,45,50,55,60,70,null,null,null,{"$f":"B4","v":40},{"$f":"C4","v":45},50,55,60,70]
[2950,1.1000000000000001,1.1000000000000001,1.1000000000000001,1.2,1.2,1.2,null,null,{"$f":"A16","v":330},{"$f":"B16","v":1.5}]
[2300,1.1000000000000001,1.1000000000000001,1.2,1.2,1.2,1.3,null,null,{"$f":"A15","v":495},{"$f":"B15","v":1.4},{"$f":"C15","v":1.5}]
[1970,1.1000000000000001,1.2,1.2,1.2,1.3,1.4,null,null,{"$f":"A14","v":660},{"$f":"B14","v":1.3},{"$f":"C14","v":1.4},{"$f":"D14","v":1.5}]
[1640,1.1000000000000001,1.2,1.2,1.3,1.3,1.4,null,null,{"$f":"A13","v":820},{"$f":"B13","v":1.3},{"$f":"C13","v":1.3},{"$f":"D13","v":1.4},{"$f":"E13","v":1.5}]
[1475,1.2,1.2,1.3,1.3,1.4,1.5,null,null,{"$f":"A12","v":985},1.2,1.3,1.4,1.5,1.5]
[1315,1.2,1.2,1.3,1.3,1.4,null,null,null,{"$f":"A11","v":1150},1.2,1.2,1.3,1.4,1.5]
[1150,1.2,1.2,1.3,1.4,1.5,null,null,null,{"$f":"A10","v":1315},1.2,1.2,1.3,1.3,1.4]
[985,1.2,1.3,1.4,1.5,1.5,null,null,null,{"$f":"A9","v":1475},1.2,1.2,1.3,1.3,1.4,1.5]
[820,1.3,1.3,1.4,1.5,null,null,null,null,{"$f":"A8","v":1640},1.1000000000000001,1.2,1.2,1.3,1.3,1.4]
[660,1.3,1.4,1.5,null,null,null,null,null,{"$f":"A7","v":1970},{"$f":"B7","v":1.1000000000000001},1.2,1.2,1.2,1.3,1.4]
[495,1.4,1.5,null,null,null,null,null,null,{"$f":"A6","v":2300},{"$f":"B6","v":1.1000000000000001},1.1000000000000001,1.2,1.2,1.2,1.3]
[330,1.5,null,null,null,null,null,null,null,{"$f":"A5","v":2950},{"$f":"B5","v":1.1000000000000001},1.1000000000000001,1.1000000000000001,1.2,1.2,1.2]