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- 1. A parabolic curve has an ascending grade of 4% which meets a descending grade of 3% at sta. 1+ 180 whose elevation is at 320 m. Compute the elevation of the PVT(point of vertical tangency) if the length of the curve is 280 m 2. The driver of a car traveling at 65 mph saw an obstruction ahead. If the reaction distance is 72.2 m, compute the reaction time.A horizontal curve has a maximum speed of 50 mph. If e = 0.10, and f = 0.16, find the degree of the curve. a. 4.84 deg b. 5.84 deg c. 3.84 deg d. 6.24 degGiven the length of vertical curve is 800 meters, the station of PVT is 225+16.0m and the elevation of PVI at the intersection of the two tangents is 620.00m, if G1 = - 2.0% and G2 = -1.2%, determine: a) The elevation of station 200 + 9.5 b) The station and elevation of the highest and lowest points on the vertical curve Note: Use 20-meter stations
- Two curves on a highway have the same radii. However, one is unbanked and the other is banked at an angle of 30degrees. A car can safely travel along the unbanked curve at a maximum speed v0 under conditions when the coefficient of static friction between the tures and the road is µs. The banked curve is frictionless, and the car can negotiate it at the same maximum speed v0. Find the coefficient of static friction between the tires and the road.Two vertical parabolic curves have been connected to form a roadway by three gradients: -5.30 %, 4.10 % and -3.70 % respectively. If the length of the second curve is twice as the length of the first curve, compute the following: a. The length of the second curve in ft given that the design speed of the first curve is 80 kph assuming a vertical radial acceleration of 0.3m/s2 for comfort criterion. b. The length of the second curve in m if the headlight height of the vehicle is 0.73 m above the first curve and the inclined upward angle of the headlight beam relative to the horizontal plane of the vehicle is 1.57% The design speed for the first curve for this situation is 90 kph. c. The length of the first curve in yard if the total length of the roadway is 7451 m given that the second curve has a design speed of 70 kph for passing sight distance with the driver's eye height assumed to be 1.5 m and object height of 0.33 m. d.The total length of the roadway in km if a bridge…A vertical alignment for a single carriageway road consists of a parabolic crest curve connecting a straight-line uphill gradient of +4% with a straightline downhill gradient of -3%. Determine the following: (1) Calculate the vertical offset at the point of intersection of the two tangents at PI (2) Calculate the vertical and horizontal offsets for the highest point on the curve.Assume a design speed of 85km/hr and use the absolute minimum K value for crest curves. Show the complete solution asap.
- A section of a two-lane highway (3.60 meter lanes) is designed for 120km/h. At one point a vertical curve connects a 2.5% and +1.5 % grade. The PVT of this curve is at station 100+000. It is known that a horizontal curve starts (has PC) 89.6 meters before the vertical curve's PVC. If the super elevation of the horizontal curve is 0.08 and the central angle is 38 degrees, what is the station of the PT?a crest vertival curve connects a +4.44% grade and a -6.87% grade. The PVI is at station 43 + 15.25 m at an elevation of 380 m. The design speed is 30 mi/h (=50 km/h). Determine the following. a) the length of the vertical curve using "K" factors B) the station of the BVC C) The elevation of the BVC D) The station of the EVC E) The elevation of the EVC F) The station of the high point G) the elevation of the high point H) The elevation of station 44 + 7.00 mThe tangent of a simple curve have bearings of N20֯ E and N80֯ W respectively. If theradius of the curve is 200m determine the middle ordinate of the curve.
- The ascending of a vertical curve is 1/45 and descending gradient is 1/55. If the design speed is 60 km/hr and rate of change of acceleration of 0.4 m/s3, calculate the minimum length of the curve.The super elevation of the horizontal curve is 0.12 m/m. A car can travel a maximum speed of 80 kph. Find the coefficient of friction between the tire and the road if the radius is 70 m. a. 0.52 b. 0.62 c. 0.72 d. 0.42The allowable side friction factor for horizontal curves with a design speed of 100 km/h is 0.12. (a) What superelevation rate would you use for a curve with a design speed of 100 km/h and a radius of 420 m? Round to the nearest whole percent. (b) A spiral transition curve is used to go from a normal crown slope with 2% cross-slopes to full superelevation for the curve described above. If the maximum difference in grade between the centerline and the edge is 1:200 and the roadway consists of two 3.6 m lanes, what is the minimum length of spiral? Round up to the next integral multiple of 20 m. (c) The station of the TS is 501+00. Draw the superelevation diagram.