Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 4, Problem 13P
To determine
The minimum number of stations for which the engineer should obtain 24-hr volume counts.
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Students have asked these similar questions
A construction zone on a highway has a posted speed of 40 kmph. The speeds of vehicles passing through this construction zone are normally distrbuted with a mean of 45 kmph and a standard deviation of 4 kmph.
a.) What is the probability that a vehicle passing through the construction zone exceeds the posted limit?
b.) What is the probability that a vehicle passing through the construction zone is travelling at speeds between 38 and 49 kmph?
c,) For the next 30,000 vehicles passing through the construction zone, how many will be passing through the zone with speed less then 50 kmph?
A traffic engineer, wishing to determine a representative value of ADT on 250 highway links having similar volume characteristics, conducted a preliminary study from which the following estimates were made: mean volume= 45750 veh/day, standard deviation= 3750 veh/day. Determine the minimum number of stations for which the engineer should obtain 24-hour volume counts for a 95-t precision level. Use an allowable range error of 10%.
3
During a traffic speed survey, the following observations were recorded when a vehicle passes a
50 m long road section XY.
Vehicle Time of Passing X (seconds) Time of Passing Y (seconds)
1
4.5
5.8
6.1
6.3
7.5
23
4
5
2.0
3.5
4.0
4.5
5.5
Determine the following:
(i) Average time mean speed
(ii) Average space mean speed using the above data
(iii) Also verify the results obtained in (ii) above using relationship between the time mean speed
and space mean speed.
Chapter 4 Solutions
Traffic and Highway Engineering
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- This is a three-part question. Data obtained from aerial photography showed eight vehicles on an 800 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 3.7 sec. Part A. Determine the density on the highway in vehicles per mile. Part B. Determine the flow on the road in vehicles per hour. Part C. Determine the space mean speed in mph.arrow_forward4-14 Table 4.10 shows data obtained in a travel time study on a section of highway using the moving-vehicle technique. Estimate (a) the travel time and (b) the volume in each direction at this section of the highway. Chapter 4 Traffic Engineering Studies 149 Table 4.10 Travel Time Data for Problem 4-14 No. of No. of No. of Vehicles Vehicles That Vehicles Run Travel Traveling in Орposite Overtook Overtaken by Test Vehicle Direction/ Time Test Number (min) Direction Vehicle Northward 5.25 100 2 2 2 5.08 105 2 1 3 5.30 103 3 1 4 5.15 110 1 5.00 101 6. 5.51 98 7 5.38 97 1 1 8 5.41 112 2 3 5.12 109 3 1 10 5.31 107 Southward 1 4.95 85 1 2 4.85 88 1 3 5.00 95 1 4 4.91 100 2 1 4.63 102 1 5.11 90 1 1 7 4.83 95 8 4.91 96 3 1 9 4.95 98 1 2 10 4.83 90 1arrow_forwardA spot speed study was conducted on a freeway on which the mean speed and standard deviation were found to be 72.4 km/h and 5.4 km/h, respectively. What is the range of values that would be expected to contain the middle 95% speeds 1 what is top and the lowest rangearrow_forward
- Spot speed study was carried out redesign the stretch of major district road. The data collected during th estudy is given below. (1) (ii) Speed Range kmph 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100 Frequency of vehicles Cars Two Wheelers 5 20 24 20 30 35 25 10 10 1 0 6 12 30 60 35 35 15 18 9 What is the design speed for redesigning existing MDR? What are upper and lowe speed limits for mixed traffic? Others 0 4 4 5 30 30 15 10 2 0arrow_forwardSpeed data collected on an urban roadway yielded a standard deviation in speeds of 4.8 mi/h. (a) If an engineer wishes to estimate the average speed on the roadway at a 95% confidence level so that the estimate is within 2 mi/h of the true average, how many spot speeds should be collected? (b) If the estimate of the average must be within 1 mi/h, what should the sample size be?arrow_forward2. Data obtained from aerial photography showed six vehicles on a 600 ft – long section of road. Traffic data collected at the same time indicated an average time headway of 4 sec. Determine (a) the density on the highway, (b) the flow on the road, and (c) the space mean speed. Ans. k = 52.8 veh/mi, q = 900 veh/h, SMS = 17.0 mi/harrow_forward
- Problem 6 Traffic on a single-lane urban street observes the following flow-density relationship: q=30k(1-k/180), where q is the traffic flow in vehicles per hour (VPH), and k is the traffic density in vehicles per mile (VPM). Answer the following questions: a. | Calculate the free flow speed, capacity, and jam density of the traffic flow. b. What is the minimum spacing and the minimum (time) headway of the traffic flow? What is the traffic volume when the travel speed is 20 MPH? C.arrow_forwardWhat is the brake reaction distance (ft) when the design speed is 55 mph, assuming the AASHTO recommended deceleration rate and perception-reaction time. Response Feedback: brake reaction distance = 1.47Vtrarrow_forwardAn engineer wishing to obtain the speed characteristics on a bypass around her city at a confidence level of 95%, and an acceptable limit of 2.0 km/h collected a total of 104 spot speed samples and determined that the variance is 4.8 km/h. Has the engineer met with all of the requirements of the study? 1.What is the variance in this question; 'the lambda'? 2.What is acceptable error in this question 3.What is the minimum number of observations to meet the requirements of the study 4. Has the engineer met with the requirements of the study? File a YES or NO responsearrow_forward
- An engineer, wishing to determine the travel time and average speed along a section of an urban highway as part of an annual trend analysis on traffic operations, conducted a travel time study using the floating-car technique. He carried out 10 runs and obtained a standard deviation of ±3.4 mi/hin the speeds obtained. If a 5 percent significance level is assumed, is the number of test runs adequate?arrow_forwardConsider the following data: · Average number of vehicles (overtaking - overtaken) = 1 • Average number of vehicles during trips in opposite direction of traffic flow = 336 · Average journey time when test vehicle is travelling with the stream = 8 min 31 sec. · Average journey time when test vehicle is travelling against the stream = 7 min 24 sec. Average journey time for the above data is min. %3Darrow_forwardQuestion 1 Calculate the stopping sight distance on a highway at a descending gradient of 3% for a design speed of 100 kmph. Assume other data as per IRC recommendations. Question 2 Calculate the safe stopping distance while travelling at a speed of 80 kmph on an upward gradient of 2 percent. Make suitable assumptions.arrow_forward
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