QUESTION FOUR

a$)$ It is required to connect two intersecting straights whose deflection angle is $1316\text{'}{00}^{\text{'}\text{'}}$ by a circular curve of radius $600$ m $.$ The through chainage of the intersection point is $2745\mathrm{.}72$ m and pegs are required on the centre line of the curve at exact $25$ m multiples of through chainage.

i$.$ Tabulate the data necessary to set out the curve by the tangential angles method using a theodolite and a tape.

ii$.$ The circular curve designed above is to be set out by the tangential angles method using a total station and a pole$-$mounted reflector. Tabulate the data necessary to set out the curve from entry tangent point $T.$

b$)$ A kerb line is to be set out between two straights, which deflect through an angle of $7500{00}^{\text{'}\text{'}},$ such that it forms a circular curve of radius $20$ m $.$

i$.$ Tabulate the data required to set out the centre line of the curve by offsets taken at exact $5$ m intervals along the tangent lengths. The mid$-$point of the curve must also be fixed.

ii$.$ Tabulate the data required to set out the cer at exact $5$ m intervals from the mid$-$point of the long chord. The mid$-$point of the curve must also be fixed.