1. (20 Points) Determine the critical depth in the trapezoidal drainage ditch shown below. The slope of the ditch is 0.0016, the side slopes are 1V:2.5H, the bottom width is b = 14', and the design discharge is 500 cfs. At this discharge the depth is y = 4.25'. Also, determine the flow regime and calculate the Froude number. Ye= ? Z b 2. (20 Points) A rectangular sharp crested weir 3 ft high is to be constructed in a natural channel in the vicinity of a gaging station for streamflow measurements. The crest length of the weir is b from Problem 1 and extends across the full width of the channel. The design discharge for the channel is Q from Problem 1. For an initial calculation, neglect the approach velocity and determine the head on the weir under design flow conditions. Is this assumption valid? If not, recalculate the head on the weir including the effects of the approach velocity. H=6' + 10 ft L = 8 ft

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter8: Seepage
Section: Chapter Questions
Problem 8.11P
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1. (20 Points) Determine the critical depth in the
trapezoidal drainage ditch shown below. The
slope of the ditch is 0.0016, the side slopes are
1V:2.5H, the bottom width is b = 14', and the
design discharge is 500 cfs. At this discharge
the depth is y = 4.25'. Also, determine the flow
regime and calculate the Froude number.
Ye= ?
Z
b
Transcribed Image Text:1. (20 Points) Determine the critical depth in the trapezoidal drainage ditch shown below. The slope of the ditch is 0.0016, the side slopes are 1V:2.5H, the bottom width is b = 14', and the design discharge is 500 cfs. At this discharge the depth is y = 4.25'. Also, determine the flow regime and calculate the Froude number. Ye= ? Z b
2. (20 Points) A rectangular sharp crested weir 3 ft
high is to be constructed in a natural channel in
the vicinity of a gaging station for streamflow
measurements. The crest length of the weir is b
from Problem 1 and extends across the full
width of the channel. The design discharge for
the channel is Q from Problem 1. For an initial
calculation, neglect the approach velocity and
determine the head on the weir under design
flow conditions. Is this assumption valid? If not,
recalculate the head on the weir including the
effects of the approach velocity.
H=6'
+
10
ft
L = 8
ft
Transcribed Image Text:2. (20 Points) A rectangular sharp crested weir 3 ft high is to be constructed in a natural channel in the vicinity of a gaging station for streamflow measurements. The crest length of the weir is b from Problem 1 and extends across the full width of the channel. The design discharge for the channel is Q from Problem 1. For an initial calculation, neglect the approach velocity and determine the head on the weir under design flow conditions. Is this assumption valid? If not, recalculate the head on the weir including the effects of the approach velocity. H=6' + 10 ft L = 8 ft
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