a. The centre-line of a simple circular curve for the Toowoomba Range by- pass is to...

 

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a. The centre-line of a simple circular curve for the Toowoomba Range by- pass is to be set-out from the start of the curve (T1) at chainage 1207.000m (a chainage is a running distance for a survey/design centre- line from a point A to a point B. It comprises the addition of distances around a series of bends and /or curve arcs). Using the data below, calculate the arc length, tangent length, secant length and bearing. Intersection angle = 29°54'20", bearing T1 to IP is 10°00'00" Radius = 390m Document all workings and work to at least 4 decimal places for distances and a point of a second for bearings/angles. (20 marks) b. The centre-line of the above circular curve is to be set-out from the start of the curve at chainage 1207.000m. Using the data from part a., calculate the deflection bearings and chords from the start of the curve (T1) using curve formulae for the following points; all points at 20m pegging intervals commencing at 1220m; the secant point; and the end of the curve. Document all workings and work to at least 4 decimal places for distances and a point of a second for bearings/angles. (55 marks) a. The centre-line of a simple circular curve for the Toowoomba Range by- pass is to be set-out from the start of the curve (T1) at chainage 1207.000m (a chainage is a running distance for a survey/design centre- line from a point A to a point B. It comprises the addition of distances around a series of bends and /or curve arcs). Using the data below, calculate the arc length, tangent length, secant length and bearing. Intersection angle = 29°54'20", bearing T1 to IP is 10°00'00" Radius = 390m Document all workings and work to at least 4 decimal places for distances and a point of a second for bearings/angles. (20 marks) b. The centre-line of the above circular curve is to be set-out from the start of the curve at chainage 1207.000m. Using the data from part a., calculate the deflection bearings and chords from the start of the curve (T1) using curve formulae for the following points; all points at 20m pegging intervals commencing at 1220m; the secant point; and the end of the curve. Document all workings and work to at least 4 decimal places for distances and a point of a second for bearings/angles. (55 marks)