2. Given below are observed flows from a storm of 6-hr duration on a stream with catchment area of 500 km². Assuming the base flow to be zero. Derive the ordinates of the 6-hr Unit hydrograph. Time (hour) Discharge (m³/s) 100 12 250 18 200 24 150 30 100 36 70 42 50 48 35 54 25 60 15 66

2. Given below are observed flows from a storm of 6-hr duration on a stream with catchment area of 500 km². Assuming the base flow to be zero. Derive the ordinates of the 6-hr Unit hydrograph. Time (hour) Discharge (m³/s) 100 12 250 18 200 24 150 30 100 36 70 42 50 48 35 54 25 60 15 66

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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7. When just full, a reservoir has a surface area of 0.8 km², and this area is approximately constant as the water depth above this level, h, increases (where h is in metres). The outflow from the reservoir is given (in m³/s) by the formula O = 90 h¹² Consider a scenario in which this reservoir is subjected to a flood with flow rates given in the table below. 0 1 3 4 5 Time (hours) Inflow (m³/s) 2 22 12 0 18 6 0 a) What is the total volume of water represented by this flood? b) Carry out a flood storage routing calculation. Find the maximum water depth in the reservoir and its maximum outflow rate, and the time when this occurs.
Perform the flood routing for a reach of river given X = 0.15 and K = 3 days using the inflow hydrograph with At = 1.5 day and At = 3 day below. Fill out the table and show detailed steps and calculations for each At for the first 3 rows. What is the effect of the magnitude of At on outflow hydrograph? Time (days) 0 1.5 3 4.5 6 7.5 9 10.5 12 13.5 15 16.5 18 19.5 21 Inflow (cfs) Outflow (cfs) 0 5 13 34 68 74 73 61 45 32 27 21 14 7 0 Time (days) 0 3 6 9 12 15 18 21 24 27 30 33 36 39 42 Inflow (cfs) 0 13 34 68 74 73 61 45 32 27 21 14 7 0 Outflow (cfs)
The annual peak flow data were recorded between 1980 and 2021 at a particular section of a river. Annual peak flows have been transformed into log values and the following statistics are obtained. Mean of log transformed peak annual flows = 3.525 Standard deviation of log transformed peak annual flows = 0.178 Skewness of log transformed peak annual flows = -0.235 a. Estimate the 2% AEP peak discharge by assuming that the annual peak flow data follows Log-Pearson type III distribution. b. Estimate the 2% AEP peak discharge by assuming the peak flow data are lognormally distributed. c. Compare the peak discharge obtained from two methods (l.e. Log-Pearson type III distribution and Lognormal distribution).
WATER RESOURCES ENGINEERING A 6-hour storm event occured in the study basin. You were able to measure precipitiation and infiltration data, but not streamflow. Using the precipitation and and infiltration data and the unit hydrograph, estimate the total streamflow during and after this storm event. Calculate stream flow for each time step until the total streamflow is equal to the baseflow of 35 m3/s. Please refer to attached images of data tables:
Q1. Using the data for the following storm, determine the index for a watershed of an area of 3 km?. Time (hr) Rainfall (mm) Q (m³/s) 0.5 7 1 25 .89 1.5 12 2.37 3 3.86 2.5 5.35 3 5.54 3.5 4.75 4 3.86 4.5 2.97 2.1 5.5 1.2 .34 6.5
Flow rate in a stream discharging water shed runoff is 50 cubic meters per second after five days without rain. The flow rate in the stream reaches half that amount after 20 days without rain. Determine the equation of basal flow hydrograph. Find the amount of flow rate after a period of six months in the watercourse.
Problem 3 The table below contains the data for a one-hour unit hydrograph. Time Q (hr) (cfs/in) 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 0 145 246 359 979 432 246 134 65 32 0 (a) Determine the area of the watershed to which this unit hydrograph corresponds. Report your answer in acres. (b) Assume a very intense 3-hour storm occurs shortly after a rainy period, so the ground is very saturated. The runoff from the first one-hour interval of the storm totals 0.5 in., the runoff from the second one-hour interval is 2.5 in, and the runoff from the third one-hour interval totals 1.7 in. The baseflow during and after the storm is 80 cfs. Derive the storm hydrograph for this 3-hour storm. table that clearly indicates how you used the unit hydrograph, sample calculations Provide a with sufficient explanation, explanatory sketches, and a graph of the storm hydrograph. (c) Determine the peak discharge that will occur in the river if this 3-hour storm occurs.
Q4) A lagoon has an area of 100 m² and the flow into the lagoon is 15 m/hour. 1. What is the volumetric flow rate in m³/second? 2. What is the residence time in this lagoon in minutes?
Question 03: Consider a flow field represented by the stream function w = (4+27) x'y - (6+27) x'y? + (4+27) xy'. Is this a possible two-dimensional incompressible flow? Is the flow irrotational? Discuss the reasons against your findings.
Question 2 Route the inflow hydrograph through a reservoir as indicated in Table 2. The crest height of the spillway is 50 ft and storage capacity at this level is 116 ft3/s-day. The reservoir routing curves graph is given in Figure 1. Perform calculation until the outflow value is equal to zero. Based on the obtained result, plot the inflow and outflow hydrographs. Table 2 0.4 1.6 2 2.4 2.8 Time (day) 0 Flow (ft³/s) 0 0.8 120 1.2 229 56 380 268 155 50 Figure 1 25/atO (ft/s.day)-primary x-axis 700 800 900 1000 54.0 53.5 53.0 52.5 52.0 51.5 Elevation vs Storage (curve a) Elevation vs 25/De-O (curve b) Elevation vs Outflow (curve c) 51.0 50.5 50.08 49.5 110 230 0 Water Surface Elevation (tt) 400 W 500 130 100 600 150 200 190 170 210 Storage (ft³/s.day) - secondary x-axis 300 400 500 Outflow (ft³/s.day) - tertiary x-axis 600 250 1100 700