simple curve having a radius of 200 meters has a central angle of 50°30’. It is required to be replaced by another curve by connecting spiral curves at its ends by maintaining the radius of the old curve and its center but the tangents are moved outwards to allow transition. Part of the original curve is retained. The new intersection of the tangents is moved outward by 2 meters from its original position along the line connecting the intersection of tangents and the center of the curve. (a)Determine the length of the transition curve at each end of the central curve. (b)Determine the spiral angle. (c)Determine the central angle of the new simple curve.

A simple curve having a radius of 200 meters has a central angle of 50°30’. It is required to be replaced by another curve by connecting spiral curves at its ends by maintaining the radius of the old curve and its center but the tangents are moved outwards to allow transition. Part of the original curve is retained. The new intersection of the tangents is moved outward by 2 meters from its original position along the line connecting the intersection of tangents and the center of the curve. (a)Determine the length of the transition curve at each end of the central curve. (b)Determine the spiral angle. (c)Determine the central angle of the new simple curve.