The centerline of a portion for a proposed highway extension project is composed of four simple curves. These curves are connected to each other such that the first, second and third curve forms a compound curve, while the third and the fourth curve forms a reverse curve with diverging tangents. The compound curve is tangent to the lines AB, BC. CD & DE while the reverse curve is tangent to lines DE and EF. Point B is at Sta. 10+000. NOTE: Show Illustration POINT A B C D E F a. radius of the first curve b. radius of the second curve If the long chord of the 2.d curve is 1.644 times the length of the long chord of the first curve, solve for the ff. c. radius of the third curve d. radius of the fourth curve NORTHING 0.00 -50.00 -147.66 -209.70 -171.93 -203.63 e. stationing of PRC f. stationing of PT EASTING 0.00 0.00 63.42 170.88 251.87 319.84

The centerline of a portion for a proposed highway extension project is composed of four simple curves. These curves are connected to each other such that the first, second and third curve forms a compound curve, while the third and the fourth curve forms a reverse curve with diverging tangents. The compound curve is tangent to the lines AB, BC. CD & DE while the reverse curve is tangent to lines DE and EF. Point B is at Sta. 10+000. NOTE: Show Illustration POINT A B C D E F a. radius of the first curve b. radius of the second curve If the long chord of the 2.d curve is 1.644 times the length of the long chord of the first curve, solve for the ff. c. radius of the third curve d. radius of the fourth curve NORTHING 0.00 -50.00 -147.66 -209.70 -171.93 -203.63 e. stationing of PRC f. stationing of PT EASTING 0.00 0.00 63.42 170.88 251.87 319.84

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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The centreline of a portion for a proposed highway extension project is composed of four simple curves. These curves are connected to each other such that the first, second and third curve forms a compound curve, while the third and the fourth curve forms a reverse curve with diverging tangents. The compound curve is tangent to the lines AB, BC, CD & DE while the reverse curve is tangent to lines DE and EF. Point B is at Sta. 10+000. POINT A B с D E F NORTHING 0.00 -50.00 -147.66 -209.70 -171.93 -203.63 a. radius of the first curve b. radius of the second curve c. radius of the third curve d. radius of the fourth curve e. stationing of PRC f. stationing of the PT EASTING 0.00 0.00 63.42 170.88 251.87 319.84 If the long chord of the 2nd curve is 1.644 times the length of the long chord of the first curve, solve for the ff:
In a railroad layout, the centerline of two parallel tracks are connected with a reversed curve for unequal radii. The central angle of the first curve is 19°, the distance between parallel tracks is 29.55 m, radius of the second curve is 320 m, and the stationing of PC is 15+240 Determine the following: ma) Length of the long chord from PC to PT m b) radius of the first curve c) stationing of PT
In a railroad layout, the centerline of two parallel tracks is connected with a reversed curve of unequal radii. The central angle of the first and second curve is 16° and the distance between parallel tracks is 27.6 m. Stationing of the PC is 15+420 and the radius of the second curve is 290. a) Compute the length of the long chord from PC to PT. b) Compute the radius of the first curve. c) Compute the stationing of PT.
The common point in a reversed curve O PC PCC PRC SC
Two tangents intersecting at V has an angle of intersection of 30 degrees. Two points A and B are laid out on the back and forward tangents respectively. The bearing of the line connecting A and B is 80.5 degrees SE and is 86.42 m. It is proposed to construct a highway curve which shall be tangent to the two tangents and also on line A-B. Bearing of back tangent is 86.5 degrees NE. 1.) find the radius of curve. 2.) length of line from PC to PI 3.) length of the curve.
A 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+000
In a compound curve, the line connecting the P.I. at point V and the P.C.C. is an angle bisector. AV is 270m and BV is 90m. The stationing of A is 6+421 and that of B is 6+721. Point A is a along the tangent passing thru P.C. while point B is passing thru P.T. The P.C.C. is along line AB. Compute the radius of the first curve passing thru P.C. Compute the radius of the second curve passing thru P.T. Determine the length of chord from P.C. to P.t.
SHOW THE COMPLETE SOLUTION AND ILLUSTRATION. In a compound curve, the line connecting the P.I. at point V and the P.C.C. is an angle bisector. AV is 270m and BV is 90m. The stationing of A is 6+421 and that of B is 6+721. Point A is a along the tangent passing thru P.C. while point B is passing thru P.T. The P.C.C. is along line AB.a. Compute the radius of the first curve passing thru P.C.b. Compute the radius of the second curve passing thru P.T.c. Determine the length of chord from P.C. to P.t.
2. A simple curve connects two tangents AB and BC with bearings N85°30'E and S68°30'E, respectively. Point D along line AB has a coordinate of 20100 N and 20100 E while point E along line BC has coordinates of 20086.55 N and 20184.27 E. Find the distance of line BD, the degree of the curve that shall be tangent to the three lines AB, DE, and BC, determine the stationing of PT if the stationing of D is at 1+052.87.
2 existing highways are to be connected by a simple curve of 2° (100m arc basis). The first highway has a North azimuth of -18°26’34” while the second highway has a South azimuth of -47°21’08”. Determine the required length of curve to be constructed and the station of the end of the curve given that the theoretical intersection of both highways was found to be at STA. 3+016. Draw the figure Limit to 3 decimal places
2 existing highways are to be connected by a simple curve of 2° (100m arc basis). The first highway has a North azimuth of -18°26’34” while the second highway has a South azimuth of -47°21’08”. Determine the required length of curve to be constructed and the station of the end of the curve given that the theoretical intersection of both highways was found to be at STA. 3+016. (Draw the figure) *SHOW COMPLETE AND CLEAR SOLUTION WITH EXPLANATION FOR ME TO UNDERSTAND THANKYOU
2 existing highways are to be connected by a simple curve of 2° (100m arc basis). The first highway has a North azimuth of -18°26’34” while the second highway has a South azimuth of -47°21’08”. Determine the required length of curve to be constructed and the station of the end of the curve given that the theoretical intersection of both highways was found to be at STA. 3+016. (Draw the figure) Show detailed solution.