Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 15, Problem 12P
To determine
(a)
The central angle of the curve for the highway design engineer to obtain simple curve to join tangents.
To determine
(b)
Radius of the curve.
To determine
(c)
Length of the tangent of the curve.
To determine
(d)
Station of the PC.
To determine
(e)
Length of the curve.
To determine
(f)
Station of the PT.
To determine
(g)
Deflection angle and chord from the PC to the first full station of the curve.
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a proposed highway has two tangents of bearings n 45⁰ 54′ 36″ e and n 1⁰ 22′ 30″ w. the highway design engineer, attempting to obtain the best fit for the simple circular curve to join these tangents, decides that the external ordinate is to be 13.1 m. the pi is at station 2+000 determine: (i) the central angle of the curve (ii) the radius of the curve (iii) the length of the tangent of the curve (iv)the station of the pc (v) the length of the curve (vi) the station of the pt (vii) the chord length
Situation 1] A simple curve connects two tangent roads AB and BC with bearings N85048'E and
S64040'E, respectively. If the chainage (or stationing) of the point of intersection of the two
tangents is 4+334.42 and the radius of the curve is 300 m, determine the following:
Tangent distance, T
External distance, E
Middle Ordinate, M
Versine, V
Long Chord, C
Length of the curve, LC
i.
i.
ii.
iv.
V.
vi.
Q2) A proposed highway has two tangents of bearings N 45°54'36" E and N
1°22'30" W. The highway design engineer, attempting to obtain the best fit for
the simple circular curve to join these tangents, decides that the external
ordinate is to be 43.00 ft. The PI is at station 65+43.21
Determine:
(a) The central angle of the curve; (b) The radius of the curve; (c) The length of
the tangent of the curve; (d) The station of the PC; (e) The length of the curve;
(f) The station of the PT
Chapter 15 Solutions
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- 3. A proposed highway has two tangents of bearings N 45°54'36" E and N 1º22'30" W. The highway design engineer, attempting to obtain the best fit for the simple circular curve to join these tangents, decides that the external ordinate is to be 13.00 m. The PI is at station 65+743.21. Determine: - The central angle of the curve. The radius of the curve. The length of the tangent of the curve. The station of PC. The length of the curve. The station of PT.arrow_forwardA compound curve is created by the lines: AB N 35o E, BC N 80o E, and CD S 80o E. The curve has its radii as 105m and 120m, respectively. Determine the following: common tangent Sta PCC if Sta PC is at 3+000 Sta PT if Sta PC is at 3+000arrow_forwardA proposed highway has two tangents of bearings N 45º54’36” E and N 1º22’30” W. The highway design engineer, attempting to obtain the best fit for the simple circular curve to join these tangents, decides that the external ordinate is to be 43.00 ft. The PI is at station 65+43.21. Determine: (a) The central angle of the curve (b) The radius of the curve (c) The length of the tangent of the curve (d) The station of the PC (e) The length of the curve (f) The station of the PT (g) The deflection angle and chord from the PC to the first full station on the curvearrow_forward
- 2. A compound curve connects three tangents having an azimuth of 254 degrees, 270 degrees, and 280 degrees, respectively. The length of the chord measured from P.C to the P.T of the curve is 320m and is parallel to the common tangent having an azimuth of 270 degrees. If the stationing of the P.T is 6+520. a. Determine the stationing of P.C.carrow_forwardA compound curve has vertex angles of the first and second curve of 12°30' and 09°30', respectively. Stationing at the point of compound curve is at 11+135.92m. Degrees of curve are 3°00' and 4°00' for the first and second curve, respectively. It is desired to substitute the compound curve with a simple curve that shall end with the same P.C. Determine the: a. Total length of the simple curve b. Station the Old P.C. and the New P.T.arrow_forwardPROBLEM: Two tangents intersect at station 26+050. A Compound curve laid on their tangents has the following data: D, =3° D2 =5° , = 31° 12 =36° %3D Determine: 1. Radius of the first Curve 2. Radius of the second curve 3. Length of the first curve 4. Length of the second curve 5. Long Chord 1 6. Long Chord 2 7. Sta. PCC 8. Sta. PTarrow_forward
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