The Table below shows the data collected on a urban highway in Accra during a speed study.Develop the frequency histogram and the frequency distribution of the data and determine:i.The arithmetic mean speedii.The standard deviationThe median speedThe mode or modal speediii.iv.The 85th-percentile speedv.** use the intervals of 34 - 35.9, 36– 37.9, 38– 39.9 and so on....Speed(km/h)Speed(km/h)CarSpeed(km/h)CarCarCarSpeed(km/h)No.No.No.No.35.146.156.023244547.86744.054.24647.16849.145.82552.34734.86949.244.32657.34852.47056.436.32746.84949.137.17148.557.836.845.448.6654.028507242.1295165.0738.50.13055.85249.57452.051.850.893143.35352.27549.8103255.35448.47663.41138.33339.05542.87760.11244.63453.75649.5784881345.23540,85748.67952.11441.13654.55841.28048.71535.13751.65948.08161.81650.23851.76058.08256.61754.33950.36149.08348.21845.44059.8626341.88462.153.31955.24140.348.3852045.74255.16445.98653.42154.14345.06544.72254.04448.36649.51234tr

Given; Speed range (mi/h) Class, ui (mid value) frequency (No. of observations in class),fi fi×ui…

The Table below shows the data collected on a urban highway in Accra during a speed study. Develop the frequency histogram and the frequency distribution of the data and determine: i. The arithmetic mean speed i. The standard deviation i. The median speed iv. The mode or modal speed v. The 85th-percentile speed *use the intervals of 34 - 35.9, 36 – 37.9, 38 – 39.9 and so on.. Speed Speed (km/h) Speed (km/h) Car Speed | (km/h) Car Car Car No. No. (km/h) No. No. 35.1 23 46.1 45 47.8 67 56.0 44.0 24 54.2 46 47.1 68 49.1 3 45.8 44.3 25 26 27 52.3 57.3 46.8 47 34.8 52.4 49.1 49.2 56.4 69 48 70 36.3 49 71 48.5 50 51 52 6. 54.0 28 57.8 37.1 72 45.4 29 30 31 73 74 42.1 36.8 65.0 48.6 50.1 51.8 55.8 43.3 49.5 52.2 52.0 53 54 75 498 10 50.8 32 55.3 48.4 76 77 63.4 55 56 57 S8 11 38.3 33 390 42.8 60.1 12 13 34 35 36 44.6 53.7 49.5 78 488 45.2 41.1 79 52.1 48.7 40.8 48.6 14 54.5 41.2 80 55.1 50.2 54.3 15 37 51.6 59 48.0 81 61.8 16 17 38 39 40 51.7 50.3 58.0 82 83 84 566 48.2 60 61 49.0 18 19 45.4 59.8 62 41.8 62.1 55.2 41 40.3 63 48.3 RS 53.3 20 21 22 45.7 54.1 42 55.1 45.0 45.9 44.7 53.4 64 65 86 43 54.0 44 48.3 66 49.5

The Table below shows the data collected on a urban highway in Accra during a speed study. Develop the frequency histogram and the frequency distribution of the data and determine: i. The arithmetic mean speed i. The standard deviation i. The median speed iv. The mode or modal speed v. The 85th-percentile speed *use the intervals of 34 - 35.9, 36 – 37.9, 38 – 39.9 and so on.. Speed Speed (km/h) Speed (km/h) Car Speed | (km/h) Car Car Car No. No. (km/h) No. No. 35.1 23 46.1 45 47.8 67 56.0 44.0 24 54.2 46 47.1 68 49.1 3 45.8 44.3 25 26 27 52.3 57.3 46.8 47 34.8 52.4 49.1 49.2 56.4 69 48 70 36.3 49 71 48.5 50 51 52 6. 54.0 28 57.8 37.1 72 45.4 29 30 31 73 74 42.1 36.8 65.0 48.6 50.1 51.8 55.8 43.3 49.5 52.2 52.0 53 54 75 498 10 50.8 32 55.3 48.4 76 77 63.4 55 56 57 S8 11 38.3 33 390 42.8 60.1 12 13 34 35 36 44.6 53.7 49.5 78 488 45.2 41.1 79 52.1 48.7 40.8 48.6 14 54.5 41.2 80 55.1 50.2 54.3 15 37 51.6 59 48.0 81 61.8 16 17 38 39 40 51.7 50.3 58.0 82 83 84 566 48.2 60 61 49.0 18 19 45.4 59.8 62 41.8 62.1 55.2 41 40.3 63 48.3 RS 53.3 20 21 22 45.7 54.1 42 55.1 45.0 45.9 44.7 53.4 64 65 86 43 54.0 44 48.3 66 49.5

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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4. The statistical data of an urban spot speed study is given below. A set of 130 observations of spot speeds made by timing vehicles through a "Trap" of 88ft. The stopwatch was used to obtain data. The stopwatch data are grouped into 0.2 sec. Classes. The first column of the table shows the midpoint of each group. The second column of the table shows the frequency of the observations. Compute the following statistical values. a) The speed of each time class in mph (show it in the third column) b) The cumulative percent of vehicles traveling at or below indicated speed shown in the third column in mph (show it in the forth column) c) Mean or average speed (time-mean speed), median, mode, standard deviation, standard error of the mean, average time, space-mean speed, variance, 15%, and 85% speed. d) Plot the cumulative percentage, and show the statistical values of item (c) on the graph. e) Plot the frequency distribution curve and show the statistical values on the graph.
1. The speed of the traffic flowing past a certain downtown exit between the hours of 1:00 P.M. and 6:00 P.M. is approximately V= t3 - 10.5t + 30t + 20 miles per hour where t = number of hours past noon. Use the Bisection method in finding the fastest speed of the traffic between 1:00 P.M. and 6:00 P.M. in mph? Find the absolute relative approximate error up to 0.10%.
Example: For the given spot speed data, conduct the following: 1. Plot the frequency and cumulative frequency distribution of the speed data. 2. Calculate the: Average Speed , Median Speed and Modal Speed, The pace and the percent of vehicle in pace and Standard deviation and estimated standard deviation. Speed (kph) Frequency of Vehicles(n) 81.6 86.6 1 89.3 2 92.2 4 95.2 8 98.5 10 102 13 105.8 15 109.9 11 114.3 8 119 124.2 1 129.9
1. Flow is defined as the equivalent hourly rate at which vehicles pass a point on a highway during a time period. 2. The theoretical minimum value of occupancy for a loop detector installed on a highway is 3. The vehicle headway is always less 4. Time-mean speed is equal to the arithmetic (greater/less) than the value of time gap. (arithmetic/harmonic) mean of the spot speed values.
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 0
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.
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The speeds of 10 vehicles were measured at the midpoint of a (4.04-kilometer section of roadway. Vehicles The speeds of 10 vehicles were recorded: Assuming all vehicles were traveling at constant speed over this roadway section, calculate: a. Time-mean speed in kph b. Space-mean speed in kph c. Traffic Density in veh/km 1st 2nd 3rd 4th 5th Speed (kph) 42.3 54.2 68.8 35.8 48.6 Vehicles 6th 7th 8th 9th 10th Speed (kph) 78.5 96.1 41.5 28.4 36.2
1. Data on a traffic accident for the past 4 years has accident rate of 10200 per million entering vehicles. The total number of accidents is 900. Find the average daily traffic (ADT) entering the intersection during the 4 years period. 2. A moving vehicle come up to a danger and traveled a distance of 48 meters during the perception –reaction time of 2.67 seconds. Calculate the specific speed of the vehicle in Kph. a. 20 b. 48.97 c. 52.36 d. 64.70 3. The running speed of a vehicle is equal to a. Travel speed + delay b. Travel speed c. travel speed-delay average of travel speed and delay
Spot speed study has been carried out on a highway and collected data is shown in the table below. Speed range (kmph) No. of vehicles observed 0-10 10 10-20 13 20-30 15 30-40 12 40-50 16 Determine the design speed for checking the geometric design of the highway.
From the following data of a freeway surveillance, there are 7 vehicles under observation and the following distances are the distance each vehicle had traveled when observed every 2 sec. Compute the space mean speed in kph. Note: use two decimal places Distance Vehicles (m) 24 24 20 21 23 3. 4-
Situation 1: The travel times for five vehicles travelling a 200-m segment of a highway were observed as follows: Vehicle Time (seconds) A 12.07 В 10.84 11.97 9.75 D E 1. Determine the density of traffic in veh/km 2. Determine the team mean speed in kph 3. Determine space mean speed in kph 12.11