Two tangents that cross at station 10 + 243 to produce an angle of 36°28' must be linked on a railroad line by a compound curve made up of two simple curves. The simple curve starting from the P.C. at station 10 + 163 is to be a 4° curve with a central angle of 17° and a degree based on a 20m chord. What should the radius of the other simple curve that terminates at the P.T. be, using chord basis? b. Calculate P.C.C.'s stationing. c. What is the length of the tangent from the compound curve's P.I. to the P.T.?

Two tangents that cross at station 10 + 243 to produce an angle of 36°28' must be linked on a railroad line by a compound curve made up of two simple curves. The simple curve starting from the P.C. at station 10 + 163 is to be a 4° curve with a central angle of 17° and a degree based on a 20m chord. What should the radius of the other simple curve that terminates at the P.T. be, using chord basis? b. Calculate P.C.C.'s stationing. c. What is the length of the tangent from the compound curve's P.I. to the P.T.?

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter15: Geometric Design Of Highway Facilities

Section: Chapter Questions

Problem 7P

See similar textbooks

Similar questions

On a railroad line, two tangents that intersect at station 10 + 243 so as to form an angle of 36°28′ are to be connected by a compound curve consisting of two simple curves. The simple curve beginning at the P.C. which is at station 10 + 163 is to be a 4° curve whose degree is based on a 20m chord and is to have a central angle of 17°. Using chord basis, a. What should be the radius of the other simple curve that ends at the P.T.?b. Compute the stationing of P.C.C.c. What is the length of the tangent from the P.I. to the P.T. of the compound curve?
On a rail road line, two tangents that intersect at station 10 + 243 so as to form an angle of 36°28′ are to be connected by a compound curve consisting of two simple curves. The simple curve beginning at the P.C. which is at station 10 + 163 is to be 4° curve whose degree is based on a 20m chord and is to have a central angle of 17°. Using chord basis:a. What should be the radius of the other simple curve that ends at the P.T.?b. Compute the stationing of P.C.C.
On a rail road line, two tangents that intersect at station 10+243 so as to form an angle of 36°28’ are to be connected by a compound curve consisting of two simple curves. The simple curve beginning at the P.C., which is at station 10 + 163 is to be a 4° curve whose degree is based on a 20m. chord and is to have a central angle of 17°. Using chord basis (4 decimal places) a) What should be the radius of the other simple curve that ends at the P.T.? b) Compute the stationing of the P.C.C. c) What is the length of the tangent from P.I. to the P.T of the compound curve?
A simple curve is connected by tangents that make an angle of 64°. A point “e” along the curve is 220 m along the back tangent and 56 m perpendicular (offset) to the said tangent. The beginning of the curve is located at 9+070. a. What is the radius of the curve? b. What is the tangent distance of the curve? c. What is the length of the long chord? d. What is the station of point “e”? 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.
Two tangents that intersect at an angle of 44deg 36’ are to be connected by a compound curve. The tangent at the beginning of the curve at the P.C. is 125.70 m long and that at the P.T. is 155.6 m long. The degree of curvature of the first curve at P.C. is 4deg. Using Arc basis, Determine the radius of the first curve. 286.479 m 150.58 m 322.62 m 445.42 m
A compound curve connects three tangents having an azimuths of 250°, 270 ° and 290° respectively. The length of the chord is 340m long measured from the P.C to the P.T of the curve and is parallel to the common tangent having an azimuth 270 °. If the stationing of P.T is 6+000 a) Plot the compound curve b) Compute all of the elements of a compound Curve. c) Determine the stationing by the interval of 20 of the curve
The common tangent AB of a compound curve is 76.42 m with an azimuth of 268° 30′. The azimuth of the backward and forward tangents was measured to be 247° 50′ and 262° 50′ respectively. If the stationing of A is 43 + 010.16 and the degree of the first curve was fixed at 4 based on the 20 m chord. Using chord basis. What is the stationing at P.T.
2. A compound curve connects three tangents having azimuths of 254°, 270°, & 310°, respectively. The length of the long chord is 300 m. long measured from the PC to the PT of the curve and is parallel to the common tangent having an azimuth of 2700 if the stationingof the PI is 6 + 520. Determine:a. Central angle of the first and second curve: I1 and I2b. Length of the Chords; L1 and L2c. Radius of the first and second curve; R1 and R2d. Length of the first and second curve; Lc1 & Lc2e. Stationing of PCf. Stationing of PCCg. Stationing of PT
two straight tangents of a two-line highway intersect at point B. The tangents have azmuths of 270 degree and 110 degree respectively. They are to be joined by a circular curve that has a radius of 7300ft. a) What are the tangent lengths? b) What is the length of curve? c) What is PI station if PC is Sta. 62+75'? d) What is the central angle for 500ft arc? e) If the curve is laid out by the tangent-offset method
A curve having tangents of UV and VW intersects at point V. UV and VW has an azimuth (from south) of 165° and 215° respectively. U is at 10+340.26. The degree of the curve is 4°. Determine: Middle ordinate of the curve A line passes through the center of the curve to the curve itself at point X, then to UV, making an angle of 60°. What is the station of point X. 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 three decimal places.
Given the compound curve with the vertex V inaccessible, angles A and B are equal to 16°20’ and 13°30’, respectively. Stationing at B is at 1+125. 92m. Degrees of curve are 3°30’ and 4°00’ for the first and second curve, respectively. It is desired to substitute the compound curve with a simple curve that shall be tangent to the two tangents, TA and TB, and as well as the common tangent TAB. -Include illustrations -Determine the radius of the simple curve and the station the New P.C. and the old P.T.
The compound curve that was laid out has a long chord distance of 562.31 from its beginning to end. The tangents of the first and second curves form an angle of 22° and 17°, respectively, with this long chord. Find the following if the common tangent is parallel to the long chord: a. Length of the common tangent of the compound curve using arc basis. b. Station of PC if the station P.I. is at 12+765.275. c. Stationing at the endpoint of the compound curve.