Exercise 39

Ex.39-1 A transition curve of length 230 m joins a straight to a circular curve of radius 800 m. What is the angle turned by the transition curve and what is the necessary shift?. Find the length of offset to the transition at a distance 150 m from the short along the tangent.

Ex.39-2 Two straights AB and BC intersect at chainage 1000 m, the deflection angle being 40°. It is proposed to insert a right-handed circular curve 400 m radius with a cubic parabola of 90 m length at each end. The circular curve is to be set out with pegs at 20 m intervals and the transition curves at 10 m intervals. Find the

(i) chainage at the begining and end of the combined curve

(ii) chainages at the junction of the transition curve with circular curves

(iii) tangential angles for the first two points on the first transition curve

(iv) tangential angles for the first two points on the circular curves

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