On a rail road line, two tangents that intersect at station 10 + 243 so as to form an angle of 36° 28' are to beconnected by a compound curve consisting of two simple curves. The simple curve beginning at the P.C. which isat station 10 + 163 is to be a 4° curve whose degree is based on a 20 m, chord and is to have a central angle of17°. Using chord basis.What is the length of the tangent from the Pl to the PT of the compound curve?O 56.61 m56.11 m51.16 mO 51.61 m

Schematic diagram as per the given statement:

Answered: On a rail road line, two tangents that…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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If the radius of a simple curve is 70 meters and the angle of intersection is 24 degrees, what is the stationing of point PC of the simple curve? The stationing of point Pl is 1+100. (A) 1+213.45 (B) 1+200 1+100 D 1+085.12 (E) None of the above
Two tangents adjacent to each other having bearings N 66 E and S 81 E meet at station 11+150.If the radius of the simple curve connecting these two tangents is 261 m, determine the lengthof the curve and the external distance.
10-1. A simple horizontal curve of radius 750' connects two tangents that intersect at an angle of 66° 30’ Compute T, L, LC, E, and M. 10-3. What is the degree of curve (using the arc definition) in problem #1? 10-5. A simple curve is to be laid out so that its middle ordinate is at least 75'. If the tangents intersect at an angle of 40°, what is the highest degree of curve that can be used? 10-7. The radius of a simple curve is twice its tangent distance. What is the angle of intersection? 10-9. For the simple curve in problem #1, if the station of the PI is 22+50, what are the stations of the PC and PT?
Two tangents converge at an angle 26.7 degrees, which were connected by a reverse curve. The direction of the second tangent is due to East which is having the shortest distance to the point PRC of 134.02 meters. What is the value of the total curve in meters if the bearing of the common tangent is S 35.6 E. Take into consideration that the length of the first tangent is one third the length of the second tangent. Station PC is at Sta 10+620.
Two tangents adjacent to each other having bearings N 65 E and S 81 E meet at station 11+150. If the radius of the simple curve connecting these two tangents is 251 m, determine the following A. Tangent Distance B. Length of curve C. Station of PT
A. Reversed curve with diverging tangents is to pass through three lines to form a center line of a proposed road. the first line AB has a bearing of N 88° E. and a distance of 125 m., BC has a bearing of N 60° E and a distance of 350 m., while on that of CD has a bearing of S 40° E and a distance of 305 m. If the first tangent has a distance of only % of the common tangent measured from the point of intersection of the first curve determine the radius of the curves and station of PT if PC is 12 + 350
Provide illustration and complete solution.
A simple curve connects two tangent roads AB and BC with bearings N82º40’E and S67º40’E, respectively. If the chainage (or stationing) of the point of intersection of the two tangents is 4+337.42 and the radius of the curve is 300m, determine the following: (Show illustration) Tangent distance External distance Middle Ordinate Versine Long Chord Length of the curve
SITUATION. The long chord of a compound curve is equal to 250 meters. The PC this curve is at STA 10+000 and the P.C.C. is at 10+139.393. The angle that the chord connecting the P.C. and P.C.C makes with the tangent passing through P.C. is equal to 4°. Assuming that the common tangent is parallel to the long chord, Zoom image Evaluate the radius R1 782.1 m O524.2 m O832.6 m 998.3 m
Two parallel tangents have directions of due east and are 200 m, apart, are connected by a reversed curve having an equal radius of 800 m. The P.C. of the curve is on the upper tangent while the PT. is at the lower tangent. If the horizontal distance parallel to the tangent from the PC to the PT of the reversed curve is 800 m. a. Compute the distance of the intermediate tangent between the curves. b. Compute the distance between the centers of the reversed curve. c. Compute the stationing of PT. if sta: of the P. C. is 10 +020.40.
A horizontal curve with a degree of curvature of 6° is required between the two tangents AB and BC shown below. The length of line AB is 245 m and line BC is 195 m. This road project starts at point A, which is located at station 5+000. Determine the stations of the point of intersection and the end of the curve. Show all your work
Two tangents adjacent to each other having bearings N 66 E and S 81 E meet at station 11+150.If the radius of the simple curve connecting these two tangents is 261 m, determine the lengthof the curve and the external distance.

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