PROBLEM #1) An existing highway with bearing of N 20deg E to be connected to another highway, with bearing of N 75deg E, by a 4-degree simple curve. What length of curve is required? (SIMPLE AND COMPOUND CURVES)

PROBLEM #1) An existing highway with bearing of N 20deg E to be connected to another highway, with bearing of N 75deg E, by a 4-degree simple curve. What length of curve is required? (SIMPLE AND COMPOUND CURVES)

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 19P

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Intersection Design

An intersection is a location where two or more roads or railways meet or join. The traffic movement is controlled at the intersection that depends on its design and type. It governs the operation, efficiency, speed, capacity, and safety of the highways, airways, and railways. The movement of the pedestrian causes hazards and delays at the intersection.

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PROBLEM #1) An existing highway with bearing of N 20deg E to be connected to another highway, with bearing of N 75deg E, by a 4-degree simple curve. What length of curve is required? (SIMPLE AND COMPOUND CURVES) *PLEASE REFER TO THE FORMULAS BELOW*
An existing highway with bearing of N20°E is to be connected to another highway with a bearing of N80°E by a 4° simple curve. What length of curve is required? (Degree of curve is in 100m arc basis) Please show complete solution.
A rural highway is designed with the following reverse curves. Both curves have the same degree of curvature and radius, i.e., D1=D2 & R1=R2.Calculate:Station of PC, PRC and PT
The properties of two crest curves, 1 and 2 are as presented in Figure 3. The minimum curve length requirement for curve 1 is twice that of curve 2. I) Would they have the same minimum curve radius requirement? II) Establish your notion with a mathematical proof.
A six-lane road has a curve radius of 1,350 ft. Each lane is 12 ft. wide. SSD = 570 ft. What is M₂? A. 21 ft. B. 31 ft. C. 41 ft. D. 51 ft.
Design a horizontal curve for the highway by computing the radius and stationing of PC and PT using the following data, # of lanes = 2 Width per lane = 12 ft Pl is at station 120+20 Design speed is 60 mi/h Superelevation = 0.06 ft/ft Central angle of the curve = 37 degrees
(b) For the safe road design and smooth traffic flow, combination of transition and circular curve will be constructed to combine two tangent line that have bearing of N 70° E (entry tangent) and S 80° E (exit tangent) respectively. With the aid of sketch, design the minimum length of transition curve and circular curve that has the following characteristics • Design speed = 110 km/hr coefficient of side friction, f= 0.15 Superelevation, e = 5 % • Radial acceleration, c = 0.9 m/s³
A horizontal curve with a central angle of 80° and radius equal to 700 meters will be used for a new roadway construction. Find the tangent distance (T), external distance (E), mid-ordinate (M), chord length (C), curve length (L). Finally determine the stations of TC, IP, SP and CT assuming the curve begins at chainage 1+000. Note – You must write the equation of the calculated parameter.
A building is located 40 m from the centerline of the inside lane as shown. The SSD (Stopping Sight Distance) is 600 m with the length of the curve at 550 m. Determine the following: a.) The minimum radius of the curve in meters * L= 550 m SD = 600 m 40 m Your answer Rmin Rmin
Design a vertical curve connecting PVI₁ (station = 4+980, Elevation = 198 m), PVI₂ (station = 5+990, Elevation = 163 m) and PVI₃ (station = 6+400, Elevation = 140 m) for an Illuminated road with a design speed of 90 km/h. Compute road elevations at 20 m even stations, station and elevation of high point on the curve. START YOUR SOLUTION WITH A QUALITATIVE SKETCH
Additional question:1. The value of intersection Angle of the Second curve is 23.66 deg (103.7553 - 84.0945). What is the length of curve 2? 2. What is the value of the intersection angle of the first curve? 3. What is the curve length of the first curve?
The highway engineer of a certain road construction decided to use a radius of 100 m. in laying out a simple curve having an angle of intersection of 36'20', The stationing of the vertex is 30 + 375.20 after verifying the actual conditions of the proposed route, it was found out that the P.T. should be moved out in a parallel tangent having a perpendicular distance of 10 meters with the angle of intersection remaining the same while the curve shall have the same P.C. O Compute the new tangent distance. @ Compute the new radius.of curve. 3 Compute the stationing of new P.T.