Given a simple circular curve with the following properties: D = 11°, bearing on incoming (back) tangent is N 89°27’25” E, bearing on outgoing (forward) tangent is S 60°10’05” E, the station of the PI = 22+69.77 Determine the following below:

(a) The intersection angle (?)
(b) The radius (R)
(c) The tangent (T)
(d) The external distance (E)
(e) The middle ordinate (M)
(f) The long chord (C)
(g) The length of the curve (L)
(h) Station of the PC
(i) Station of the PT

What will be an ideal response?


(a) ? = 180° – (89.45694° + 60.16806°) = 30.375°

(b) R = 5729.58 / 11 = 520.87 ft

(c) T = R tan (?/2) = (520.87) tan (30.375/2) = 141.39 ft

(d)

(e) M = 520.87 [1 – cos (30.375/2)] = 18.19 ft

(f) C = 2(520.87) sin (30.375/2) = 272.91 ft

(g) L = (30.375)(520.87)?/180 = 276.14 ft

(h) Station PC = (22+69.77) – 141.39 ft = 21+28.38

(i) Station PT = (21+28.38) + 276.14 ft = 24+04.52

Trades & Technology

You might also like to view...

What are the four types of seeders that sow seeds at a preset spacing?

What will be an ideal response?

Trades & Technology

Cold weather exposure symptoms include all of the following except _____.

a. shivering b. numbness c. hyperactivity d. weak muscles

Trades & Technology

Technician A says that the crankshaft determines the stroke of an engine. Technician B says that the length of the connecting rod determines the stroke of an engine. Which technician is correct?

A) Technician A only B) Technician B only C) Both Technicians A and B D) Neither Technician A nor B

Trades & Technology

The ____ system captures energy during braking and uses that energy when the vehicle is accelerating from a stop.

A. MSD B. SHEP C. HEV D. PHEV

Trades & Technology