Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Question
Chapter 16, Problem 7P
To determine
The rate of runoff for a storm of 100-year frequency and average velocityfor 196-acre rural drainage area.
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Given in the table below is a stream flow hydrograph. Determine the volume of direct runoff by separating the base flow using the recession curve method. Semilogarithmic plot of the hydrograph is shown in Fig B.
Information on the 50-year storm is given
Duration (minutes)
15
30
45
60
180
Rainfall (mm)
40
60
75
100
120
A culvert has to drain 200 ha of land with a maximum length of travel of 1.25 km. The general slope of the catchment is 0.001 and its runoff coefficient is 0.20. Estimate the peak flow by the rational method for designing the culvert for a 50-year flood
A reservoir is to be constructed with the following characteristics:
Mean Annual Runoff, MAR =50mm
Catchment Area = 286km2
Coefficient of Variation CV= 110%
Full Supply Capacity FSC = 8x 106m3
What is the probability that the reservoir will fill to full capacity from empty in one year assuming that the runoff data follows the Weibull distribution function?
P(X-x) = 1-e^(aX/x)b
Chapter 16 Solutions
Traffic and Highway Engineering
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- A rainfall excess of 2.1 cm in 1 hour produced a triangular runoff hydrograph with a peak of 20 m3/s at 2 hours and a return to zero at 10 hours. According to the UH theory, the runoff hydrograph for rainfall excess of 4.2 cm in the same time period: A) would have a peak of 40 m3/s and a total runoff period of 20 hours B) would have a peak of 40 m3/s at 4 hours C) would have a total volume of 720 000 m3 and a peak of 40 m3/s D) Cannot be determined since the unit is not 1 cmarrow_forwardShow full solution.According to rainfall data collected by a laboratory during storm events, the precipitation level in inches (X) varies jointly with runoff in cubic feet per second (Y). The joint probability mass function (PMF) of both variables are given by the following Table: Y 1 2 3 10 0.05 0.15 0 20 0.1 0.25 0.25 30 0 0.1 0.1 a. Determine and plot the marginal PMF of runoff.b. Determine the correlation coefficient between X and Y.arrow_forwardA basin is divided by 1-h isochrones into four sub-areas of size 200, 250, 350 and 170 hectares from the upstream end of the outlet respectively. A rainfall event of 5-h duration with intensities of 1.7 cm/h for the first 2 h and 1.25 cm/h for the next 3 h occurs uniformly over the basin. Assuming a constant runoff coefficient of 0.5, estimate the peak rate of runoff. (An isochrone is a line on the catchment map joining points having equal time of travel of surface runoff)arrow_forward
- The ordinates of a hydrograph of surface runoff resulting from 4.5cm of rainfall excess of duration 8 hours in a catchment are as follows. Determine the ordinates of the 8h unit hydrograph for this catchment. Tabulate your solution and plot the 8H-UH.arrow_forwardhydrology question 1- The mean rainfall over a catchment is presented in 20-min time intervals. If the D-index is 8 mm/hr, what are the runoff depth and runoff coefficient respectively? Time (min) Rainfall intensity (mm/hr) 0 15 20 21 40 25 60 17 80 8 100 6 120 10 140arrow_forwardFor the following rainfall rate, find the net runoff in cm, total rainfall and the value of W-index. Take Ø-index = 3. Time (min) 10 20 30 40 50 60 70 Rain rate (cm/hr) 2.5 2.5 10 7.5 1.25 1.25 5arrow_forward
- Which of the following favors lower runoff rate? a. Smaller catchment and slender basin b. Larger catchment and wider basin c. Larger catchment and slender basin d. Smaller catchment and wider basinarrow_forwardA 50-ha catchment has the following time-area relationship. Estimate the runoff hydrograph (cfs) using the time-area method for a 30-min rainfall hyetograph given.arrow_forwardGiven in the table below is a stream flow hydrograph. Determine the volume of direct runoff by separating the base flow using the recession curve method. Semilogarithmic plot of the hydrograph is shown in Fig B. please show solutions. Thank youarrow_forward
- HYDROLOGY DETERMINE THE AREAL RAINFALL OF THE GIVEN DRAINAGE BASIN USING: A) ARITHMETIC MEAN METHOD B) THIESSEN METHOD SHOW STEP BY STEP SOLUTION PLEASEarrow_forwardPlease help, the area runoff coefficient and inlet time for each sub catchment shown in the table.arrow_forwardRainfall intensity of a rural catchment is 50 mm/hr. The percentage contributions of catchment relief, catchment storage and ground characteristics in the calculation of runoff coefficient are 0, 5 and 30 respectively. What is the value of the S0-year ARI runoff coefficient (C) of this catchment? Write your answer correct to two decimal place.arrow_forward
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