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MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
5th Edition
ISBN: 9781305581159
Author: Nicholas J. Garber; Lester A. Hoel
Publisher: Cengage Learning US
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Question
Chapter 15, Problem 13P
To determine
(a)
The intersection angle.
To determine
(b)
The radius of the curve.
To determine
(c)
The length of tangent.
To determine
(d)
The external distance.
To determine
(e)
The middle ordinate.
To determine
(f)
The length of long chord.
To determine
(g)
The length of the curve.
To determine
(h)
The station of the PC.
To determine
(i)
The station of the PT.
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Students have asked these similar questions
Problem 1
A simple curve connects two tangents AB and BC with bearings N 75°12' E and S 78°36' E,
respectively. If the stationing of P.C. is 10+185.28. and its middle ordinate is 7.46 m, Determine
the following:
a. Radius of the curve.
b. Tangent Distance
C. External Distance
Long Chord.
d.
e.
Length of the curve.
f. Stationing of the vertex
g. Degree of the curve using Arc Basis
QUESTION 2
The tangent thru the PC has a direction due to North; and the tangent through the PT has a bearing of N 50° E. It has a radius of 200 m.
Stationing of PC is 12+060.
a. Compute the tangent distance of the curve.
Answer: T=
b. Compute the long chord of the curve.
Answer: Lc =
m
m
c. A line is drawn from the center of the curve (at the central angle) and intersects the curve at point B. This line, when extended, makes an
angle of 62° with the tangent thru PC. What is the stationing of point B?
Answer: Sta. B =
Note: Unit has been provided after the blank space. No need to indicate units on your answer.
At a 25° angle, two tangents AB and BC intersect. A point P
point B, with a perpendicular distance of 2.62 meters. (a) Determine the radius of the
simple curve that connects the two tangents and passes through the passing point P in
m. (b) Determine the chord length between P.C. and point P in m. (c) Determine the
area bounded by the curve and tangent lines in m?.
23.97 meters away from
Chapter 15 Solutions
MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
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- S7arrow_forwardTwo tangent intersects at station 0+550. Acompound curve laid on their tangents has the following data: I1= 30° D1 = 4° I2 =35° D2 = 8° a.) Compute the station of the curve PC, PCC and PT of the curve b.) Determine the first and Second radius of the curve WITH COMPLETE SOLUTION AND FIGURE. THANKSarrow_forwardThe tangent thru the PC has a direction due to North; and the tangent through the PT has a bearing of N 50° E. It has a radius of 200 m. Stationing of PC is 12+060. % a. Compute the tangent distance of the curve. Answer: T= [tangent] m b. Compute the long chord of the curve. Answer: Lc = [Lchord] m c. A line is drawn from the center of the curve (at the central angle) and intersects the curve at point B. This line, when extended, makes an angle of 62° with the tangent thru PC. What is the stationing of point B? Answer: Sta. B = [StaB]arrow_forward
- Answer g and h pleasearrow_forwardThe common tangent of a compound curve has a length of 70 m. This common tangent makes an angle of 14° and 20° to the tangents of the compound curve respectively. If T1 = 40 m, determine: a. The radius of the second curve. b. The radius of the first curve. c. The station of PT if PC is at 29+999.99 Draw and plot the curve. Compute all of the necessary elements of the curve. Include the proper units/dimensions and round-off the answers to 3 decimal places.arrow_forwardPlease show the figure and show the solutions correctly :)arrow_forward
- SHOW SOLUTION AND ILLUSTRATION A reversed curve has radii of 400m and 200m,for the first and second curve, respectively.PointA is the PC and point B is the PT. Point V is a point of convergence.The angle of convergence is 30 degrees. Determine the length of distance VB.arrow_forwardDetermine the length of chord from PC to the PT of a compound curve. if the curve laid out given the following data: PC – PCC = 400 m R1 = 700 m PCC – PT = 200 m R2 = 200 Stationing of the point of intersection of the tangents is 10 + 350arrow_forward2. A simple curve has a central angle of (20 +3 ) and a degree of curve of 5°. a. What is the value of Tangent, T? b. What is the value of External Distance, E? c. What is the value of Middle Ordinate, M? d. What is the value of the length of the Curve? e. If the stationing of the point of curvature is at 10+030, compute the stationing of the point of Tangency, PT.arrow_forward
- A reversed curve is to connect three lines thus forming the center line of a new road. The lines are AB = 60.2 m, BC = 100.4 m and CD = 100.4 m arranged as shown. Find the length of the common radius of the reverse curve. a.) Find the length of the common radius of the reverse curve. b.) If station of B is 4+450 m, what is the station of P.C.? c.) If station of B is 4+450 m, what is the station of P.T.?arrow_forward3 Four tangents having an angle of intersections shown is to be connected by three simple curves having different radius with the last curve w/C is s times sharper than the first curve. Find the radius of each curve. AB = 300m, BC = 200m. k T₁ + T₂ P.C. 7₂ R₂ R₁ R₂ R B 50° 700 P.Tarrow_forwardQUESTION 3 Two tangents converge at an angle of 30° And is connected by a reverse curve of equal radii. The direction of the second tangent is due east. The perpendicular distance of PC to the second tangent is 116.500 m. The bearing of the common tangent is S 40° E, and the central angle of the second curve is 50°. a. Compute the central angle of the first curve Answer: 11= b. Common radius of the curve Answer: R= c. Stationing of PT if PC is at 10+620 Answer: Sta PT= m Note: Unit has been provided after the blank space. No need to indicate units on your answer.arrow_forward
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