A traffic stream is moving at a steady state when entering a mountain grade. Upon entering the grade, the speed, density and flow are 72 km/h, 25 veh/km and 1800 veh/hr respectively. On the grade, a truck drops to a speed of 15 km/h causing traffic to bunch up to a density of 85 veh/km. When the truck pulls over, traffic accelerates to the maximum flow until steady state flow conditions resume. Calculate (a) the flow of traffic behind the truck on the mountain grade (b) the jam density and free flow speed for this road (c) the density and speed when traffic resumes a steady state flow (d) the maximum flow
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- A two-lane minor road intersects with a four-lane major street at 90 deg, forming a 4-leg intersection with traffic on the minor road controlled by a stop sign. The speed limits were 45 mph on the major road, and 25 mph on the minor road. Determine the intersection sight distance (ISD) when a passenger car wants to make a left turn onto the major street. (The grades of both road are low than 3%)A delivery truck passes thru the expressway exit ramps at a design velocity of 50 kph. connects with a local road to allow ram traffic to turn right without stopping at an acceleration of 1.57 m/sq.s. The turning roadway has stabilized shoulders on both sides and provides for a one-lane one-way operation with no provisions for a passing stalled vehicle. Super elevation on the turning roadway is 0.08. Determine the minimum radius of curvature for the ramp in meters.A parabolic sag vertical curve is formed when a rural highway passes under a bridge joining a -6% grade to the horizontal grade. The vertical point of intersection of these two grades lies 3 feet below the curve. If the vertical clearance of the underpass is only 10 feet, what speed limit would you suggest should be imposed at this spot, considering a safe stopping sight distance? Use H=3.5 ft, β= 1.50; assume vehicle deceleration rate of 13.5 ft/s2 and driver’s perception-reaction time of 2.5 seconds.
- For the Greenshields model, the mean free flow speed on a highway facility lane equals 75 mph near zero density, and the jam density is observed to be about 160 veh/mi. Plot the q-k-u curves in proper order. Write down the speed-density, flow-speed, and flow-density equations. Find out the maximum flow, and also mark it on your diagrams. Compute speeds and densities corresponding to a flow of 2,880 veh/h, describing traffic conditions from a driver’s point of view. Calculate average headways, gaps, clearance, and spacing at CASE 1: maximum flow and at CASE 2: jam density. (Suppose the average vehicle length is 17ft)What distance will a vehicle travel before coming to a complete stop from a speed of 70 mph, (a) When the vehicle is traveling on a level roadway with no grade, (b-1) When the vehicle is traveling uphill on a roadway of constant grade = 0.10, (b-2) If the roadway grade is not constant but starts at 0.10 uphill and decreases to 0 at a continuous rate, would the braking distance be equal to, greater than, or less than that in the case of a constant 0.10 uphill grade (briefly explain why) (c) When the vehicle is traveling downhill on a roadway of constant grade = 0.10. Assume a perception-reaction time of 2.5 seconds, and an a/g value equal to 0.35.Car A experienced engine failure the moment it enters a 2-km highway that has a constant grade of 4 deg throughout its span (4 deg. inclination). Point C is the location where car A experienced failure. When car A is towed by the truck it gains an acceleration of 3 m/s^2, at the same instance, car B is passing the same highway with a constant velocity of 40 km/hr and is 100m away from point C (measured along the pavement). 1. At what time will car A overtake car B? answer in unit of seconds. 2. How far from point C (along the pavement) will the two cars meet? answer in unit of meters 3. What is the velocity of car A at the instance it overtakes car B? answer in unit of km/hr
- 1. A curve has a super elevation of 15° with angle of friction 10°. What is the radius of the curve such that there will be no lateral pressure between the tires and the roadway at a maximum speed of 60mph? 2. A vehicle travels along a curve of radius 200 m banked at an angle of 15°. If the static coefficient of friction between the road and the tires is 0.25, determine the largest constant speed at which the vehicle will not be thrown outward the banked curve.A four-lane undivided multilane motorway in a suburban area has the subsequent characteristics: posted pace restriction = 50 mi/h; eleven-feet lanes; common obstructions located four ft from the proper pavement facet: 30 get right of entry to factors/mi at the proper facet of the fa cility. what is the free-drift velocity for the course defined?a truck was travelling uphill at 50kph. the brakes are suddenly applied and the truck stopped in a distance of 16.1m. if the coefficient of friction between the tires and the road surface is 0.4, what is the grade of the road?
- At what angle should a highway curve of 610-ft diameter be banked to accommodatecars travelling at 105 mph? The coefficient of friction between the tires and the road is0.55. What is the rated speed of the curve?A car accelerates for t sec from rest to a velocity of 48 ft. per sec, the acceleration increasing uniformly from zero to 12 ft. pre sec². During the next 4 sec, the car decelerates at a constant rate to a velocity of 4 ft. per sec. Sketch the a-t, v-t and s-t curvesA curving roadway has a curve with a radius of 580 m. The superelevation has been set at 0.05, angle of 65o and the coefficient of side friction is found to be 0.20. In addition, the traffic engineer has designed the speed as 100 km/hr.i. Explain whether this designed speed will provide a safe vehicle operation or not?ii. Find middle ordinate M,