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Spiral Curve Elements of a spiral curve 1. C. = spiral to curve 2. S. = curve to spiral 3. T. = spiral to tangent 4. Ts = tangent distance 5. Tc = tangent distance for the curve 6. l = angle of intersection of spiral basement curve 7. I = angle of intersection of simple curve 8. S. = tangent to spiral 9. Rc = radius of simple curve 10.Dc = degree of simple curve 11.T. = long tangent 12.T. = short tangent 13.ES = external distance of the spiral curve 14.C. = long chord of spiral transition 15.Xc = offset from tangent at SC 16. Y = distance along the tangent from the T.S. to S.C. 17.X = offset from tangent at any point on the spiral 18. Y = distance along tangent at any point on the spiral 19.Sc = spiral angle at SC 20.j = deflection angle at any point on the spiral, it is proportional to the square of its distance 21. Lc = length of spiral 22.L = length of spiral form T.S. to any point along the spiral Given: Radius of the simple curve, R = 211.00 m Angle of tersection of spiral basement curve, I = 59 Angle of Intersection of simple curve, I = 24 Station of PI = 1+018 Fill-out the values of the elements of simple curve. Element of Simple Curve Answer Degree of curve (arc basis) Length of spiral, Lc Length of tangent distance for spiral, T, Spiral angle at SC, Deflection angle at SC, Station Point Chord length Remarks Spiral angle Or angle from SC Deflection angle TS POC1 SC POC3 Tangent to spiral First even station after TS Spiral to simple curve First even station after SC Simple curve to spiral First even station after CS Spiral to tangent CS POC4 ST Spiral Curve Elements of a spiral curve 1. C. = spiral to curve 2. S. = curve to spiral 3. T. = spiral to tangent 4. Ts = tangent distance 5. Tc = tangent distance for the curve 6. l = angle of intersection of spiral basement curve 7. I = angle of intersection of simple curve 8. S. = tangent to spiral 9. Rc = radius of simple curve 10.Dc = degree of simple curve 11.T. = long tangent 12.T. = short tangent 13.ES = external distance of the spiral curve 14.C. = long chord of spiral transition 15.Xc = offset from tangent at SC 16. Y = distance along the tangent from the T.S. to S.C. 17.X = offset from tangent at any point on the spiral 18. Y = distance along tangent at any point on the spiral 19.Sc = spiral angle at SC 20.j = deflection angle at any point on the spiral, it is proportional to the square of its distance 21. Lc = length of spiral 22.L = length of spiral form T.S. to any point along the spiral Given: Radius of the simple curve, R = 211.00 m Angle of tersection of spiral basement curve, I = 59 Angle of Intersection of simple curve, I = 24 Station of PI = 1+018 Fill-out the values of the elements of simple curve. Element of Simple Curve Answer Degree of curve (arc basis) Length of spiral, Lc Length of tangent distance for spiral, T, Spiral angle at SC, Deflection angle at SC, Station Point Chord length Remarks Spiral angle Or angle from SC Deflection angle TS POC1 SC POC3 Tangent to spiral First even station after TS Spiral to simple curve First even station after SC Simple curve to spiral First even station after CS Spiral to tangent CS POC4 ST