WATER RESOURCES ENGINEERING (CL)
3rd Edition
ISBN: 9781119625827
Author: Mays
Publisher: WILEY
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Chapter 5, Problem 5.1.5P
To determine
The normal depth in the trapezoidalchannel.
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) A) Determine the critical depth in a trapezoidal channel for a discharge of 150 m3/sec. The width of the channel bottom is 6 m, and the side slop upward at angle of 4
For a trapezoidal-shaped channel (n = 0.012 and slope So of 0.00015 with an 18-ft bottom width and
side slopes of 1 vertical to 2 horizontal), determine the normal depth for a discharge of 850 cfs.
(similar to 5.1.10)
c) The channel shown in Figure 1 below is laid at a slope of 0.0018 and has a Manning's
roughness of 0.015.
i) Calculate the discharge for a normal depth of flow of 2.11 m
ii) Determine if this channel is mild or steep for this discharge.
10 m
YN
10°
10°
Figure 1- Question 1 (c)
Chapter 5 Solutions
WATER RESOURCES ENGINEERING (CL)
Ch. 5 - Prob. 5.1.1PCh. 5 - Prob. 5.1.2PCh. 5 - Prob. 5.1.3PCh. 5 - Prob. 5.1.4PCh. 5 - Prob. 5.1.5PCh. 5 - Prob. 5.1.6PCh. 5 - Prob. 5.1.7PCh. 5 - Prob. 5.1.8PCh. 5 - Prob. 5.1.9PCh. 5 - Prob. 5.2.1P
Ch. 5 - Prob. 5.2.2PCh. 5 - Prob. 5.3.1PCh. 5 - Prob. 5.3.2PCh. 5 - Prob. 5.3.3PCh. 5 - Prob. 5.3.4PCh. 5 - Prob. 5.3.5PCh. 5 - Prob. 5.3.6PCh. 5 - Prob. 5.4.1PCh. 5 - Prob. 5.4.2PCh. 5 - Prob. 5.5.1PCh. 5 - Prob. 5.5.2PCh. 5 - Prob. 5.5.3PCh. 5 - Prob. 5.5.4PCh. 5 - Prob. 5.5.5PCh. 5 - Prob. 5.5.6P
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- 6. Find the normal depth for a discharge of 125 cfs in a trapezoidal channel with a bottom width of 3.00 feet and side slopes of 2 horizontal to 1 vertical. The channel is lined with riprap (stones) (n = 0.024) and has a slope of 1.00 percent. Use Manning's equation.arrow_forwardA flow of 30 m3 /s occurs in a trapezoidal channel having a base width of 3 m, side slopes 1 vertical to 2 horizontal. Determine the critical depth, yc.arrow_forward(a) A trapezoidal channel has a bottom width of Bw = 10 m and 1 vertical to z=2m horizontal. The channel has a slope of 0.0001 and a Manning's roughness of n = 0.0501. If the uniform flow depth is yn = 7m what is the discharge in the channel? (b) Compute the critical depth (yc) for this trapezoidal channel given discharge from (a)arrow_forward
- The bottom width and bed slope of a long rectangular channel are 4.0 m and 0 0008, respectively. The volumetric steady-state discharge is 1.50 m/s. The flow depth at a specific location is 0 30 m. Ifn=0.016, determine: (a) The type of water surface profile expected Show all work and state your reasoning in support of your work Pleasell!! (b) Sketch the water surface profile with all necessary information and labels shownarrow_forwardA channel 1 m wide and 1 m deep carries a flow of 0.62 m³ / s on a slope of 0.001 with n = 0.012. The channel terminates in a free discharge ( note: free discharge means in critical condition of flow). Find the normal depth and critical depth in the vicinity of the discharge.arrow_forwardan emergency spillway for a detention basin is constructed as a trapezoidal channel with bottom width of 3 m and side slopes of 2 horizontal to 1 vertical lines with grass (n=0.040). The elevation of the crest of the emergency spillway is 150 m. The slope of the channel is 0.0080 m/m. Compute a chart showing the relationship between reservoir elevation and discharge into the channelarrow_forward
- Nonearrow_forwardA discharge of 1.2 m3/s flows on an open channel with a slope of 0.0062. If the coefficient of roughness is 0.0123, compute the depth of the channel for an optimum discharge for a triangular section. Select the correct response: 0.69 m 0.51 m 0.41 m 0.49 marrow_forwardThe discharge in a rectangular channel of width 6 m with Manning's n = 0.012 m-1/3 s is 24 m³ s. If the stream wise slope is 1 in 200 find: (a) the normal depth; (b) the Froude number at the normal depth; the critical depth. State whether the normal flow is subcritical or supercritical.arrow_forward
- Example. The discharge in a channel with bottom width 3 m is 12 m s. If Manning's n is 0.013 and the channel slope is 1 in 200, find the normal depth if: the channel has vertical sides (i.e. rectangular channel): (a) (b) the channel is trapezoidal with side slopes 2H:1V.arrow_forwardA trapezoidal channel (n = 0.022, m = 2) with a bottom width of 5m carries a discharge of 45 m³/s at a bed slope of 0.0025. The water depth is 4.6 m immediately behind the dam. The upstream end of the profile is assumed at a depth equal to 1% lower than the normal depth. Compute the water depth at a distance of 500 m upstream of the dam site. Also identify the type of water surface profile.arrow_forward3. A wide rectangular channel (n=0.015) carries a discharge intensity of 2.5 m³/s/m. The bed slope of the channel is 0.005. Determine whether the channel type is mild, steep or critical.arrow_forward
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