EBK PRINCIPLES OF HIGHWAY ENGINEERING A
6th Edition
ISBN: 9781119299332
Author: WASHBURN
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 5, Problem 6P
To determine
The capacity of the highway section, the speed at capacity and the density when the highway is one quarter of its capacity.
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A section of the roadway has the following flow-density relationship q=50k-0.4k^2 [q is in veh/h unit and k in vh/mile].
What is the flow, speed,and density at capacity?
What is the density when highway is at one-third of its capacity.
A section of highway has a speed–flow relationship of the form q = au2 + bu, where q is the traffic flow in veh/h, u is the space-mean speed of traffic in mi/h, and a and b are unknown parameters. It is known that at capacity (which is 3100 veh/h) the spacemean speed of traffic is 28 mi/h. Determine the speed when the flow is 1500 veh/h and the free-flow speed.
Given the following data on a certain highway section:
uf=90km/hr and qcap=3600veh/hr
Calculate the density corresponds to the flow value q=900veh/hr
Chapter 5 Solutions
EBK PRINCIPLES OF HIGHWAY ENGINEERING A
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - The arrival rate at a parking lot is 6 veh/min....Ch. 5 - Prob. 16PCh. 5 - At the end of a sporting event, vehicles begin...Ch. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Vehicles begin arriving at a single toll-road...Ch. 5 - Vehicles begin to arrive at a toll booth at 8:50...Ch. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Vehicles begin to arrive at a parking lot at 6:00...Ch. 5 - At a parking lot, vehicles arrive according to a...Ch. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Vehicles arrive at a recreational park booth at a...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - A truck weighing station has a single scale. The...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Vehicles leave an airport parking facility (arrive...Ch. 5 - Vehicles begin to arrive at a parking lot at 7:45...Ch. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - A theme park has a single entrance gate where...Ch. 5 - Prob. 54PCh. 5 - Prob. 55P
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- Estimate the capacity of a given highway in veh/ hr with density equal to 110 veh/km during jam condition and with a speed of 80 kph during free flow condition. Assume a linear relation between density and speed.arrow_forwardChoose the right answer a rural highway on a level terrain has the following traffic composition: 40 % Passenger cars 30 % trucks 20 % buses 10 % recreational vehicles Find the total volume expressed as pcu/hr. if the total volume is 6000 veh/hr. * a-7620 b-7630 c-7640arrow_forwardA segment of rural freeway is being designed for a FFS of 70 mph through rolling terrain. The directional (i.e. one-way) design volume is 3,000 vehicles per hour. If 10% of the design volume is expected to be heavy vehicles (i.e. trucks and buses), what is the heavy vehicle adjustment used to determine the flow rate? Provide you answer to the nearest hundredths. Response Feedback: f₁ HV 1 1+ · + P ₁ (E₁ − ¹) T T -where PT-0.1, ET=3.0arrow_forward
- Two routes connect an origin and a destination and the flow is 15000 veh/h. Route 1 has a performance function t1=4+3*x1, and route 2 has a function of t2=b+6*x2, with the x's expressed in thousands of vehicles per hour and the t's in minutes. (a) If the user equilibrium flow on route 1 is 9780 veh/h, determine the free-flow speed on route 2(i.e. b) and equilibrium travel times. (b) If population declines reduce the number of travelers at the origin and the total origin-destination flow is reduced to 7000 veh/h, determine user equilibrium travel times and flows.arrow_forwardfreeway with two northbound lanes is shut down because of an accident. At the time of the accident, the traffic flow rate is 1200 vehicles per hour per lane and the flow remains at this level. The capacity of the freeway is 2200 vehicles per hour per lane when not impacted by an accident. The freeway is shut down completely for 20 minutes after the accident; then one lane is opened 20 minutes after accident; and finally both lanes are opened 40 minutes after the accident. What is the total delay resulting from the accident (assuming D/D/1 queuing)?arrow_forwardA freeway with two northbound lanes is shut down because of an accident. At the time of theaccident, the traffic flow rate is 1200 vehicles per hour per lane and the flow remains at this level.The capacity of the freeway is 2200 vehicles per hour per lane when not impacted by an accident.The freeway is shut down completely for 20 minutes after the accident and then one lane is openfor 20 minutes and finally both lanes are opened (40 minutes after the accident). What is theaverage delay per vehicle resulting from the accident (assuming D/D/1 queuing)?arrow_forward
- A section of highway has a linear speed-density relationship. The capacity of the roadway is 3150 veh/hr and this capacity is observed at an average speed of 35 mi/hr. What speed is observed when traffic is uncongested with a flow of 2500 veh/hr? What is the density of traffic when it is congested and operating at 75% of the capacity?arrow_forwardA section of highway has a speed-flow relationship of the form q = a*u*u + b*u (a and b are coefficients to be determined). It is known that at capacity (which is 3100 veh/h) the space-mean speed of traffic is 35 km/h. Determine the speed when the flow is 1500 veh/h and the free-flow speed.arrow_forwardA traffic engineer has set up a one-mile study segment of a corridor. He measures the speed of 10 vehicles. Calculate the space mean speed and time mean speed of these vehicles. If the space mean speed occurs at an optimal flow with a density of 75 veh/mi, what is the capacity of this roadway?arrow_forward
- One lane of a uniform section of highway has an optimum density of 70 vehicles per mile and an optimum speed of 35 miles per hour. Calculate the free flow speed (mph).arrow_forwardDetermine the density of traffic on a highway for free flow speed of 80 km/hr and flow rate of 1200 pc/hr/lnarrow_forwardA lane on a freeway displays the following characteristics: (a) the average headway between vehicles is 2.8s, and (b) the average spacing between vehicles is 235 ft. What is the rate of flow for the lane? What is the density of traffic in the lane? What is the average speed (in mph)?arrow_forward
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