WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
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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The discharge in a channel with bottom width 3 m is 12 m³ s¹. If Manning's n is 0.013 m-1/3 s
and the streamwise slope is 1 in 200, find the normal depth if:
(a)
the channel has vertical sides (i.e. rectangular channel);
(b)
the channel is trapezoidal with side slopes 2H:1V.
5.1.5 For a trapezoidal channel (n = 0.014 and slope So of 0.0002 with a 20 ft bottom width and side slopes of 1 vertical to 1.5 horizontal), determine the normal depth for a discharge of
1100 cfs.
Find the normal depth for a discharge of 6.371 m³/s in a trapezoidal channel with a bottom width of
1.524 m and side slopes of 1 horizontal to 1 vertical. The channel is lined with concrete (n=0.012)
and has a slope of 0.02.
Ans: 0.469 m
Chapter 5 Solutions
WATER RESOURCES ENGINEERING
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- find the normal depth for a discharge of 10 m3/s in a rectangular channel with a bottom width of 6m. The channel is concrete lined (n=0.013) with a slope of 0.75 percentarrow_forward) 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 4arrow_forwardfind the normal depth for a discharge of 6.371m^3/s in a trapezoidal channel with a bottom width of 1.524m and side slopes of 1 horizontal to 1 vertical. the channel is lined with concrete (n=0.012) and has a slope of 0.02arrow_forward
- 6) Find the normal depth for a discharge of 6.371 m/s in a trapezoidal channel with a bottom width of 1.524 m and side slopes of 1 horizontal to 1 vertical. The channel is lined with concrete (n=0.012) and has a slope of 0.02. Ans: 0.469 marrow_forward-1/3 The discharge in a channel with bottom width 3 m is 12 m³ s¹. If Manning's n is 0.013 m and the streamwise slope is 1 in 200, find the normal depth if: a) the channel has vertical sides (i.e. rectangular channel); b) the channel in tranenoidal with sid 200 2H. 1 Varrow_forwardFor 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)arrow_forward
- 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)arrow_forwardA rectangular concrete channel (n = 0.014) has a bottom width of 5.05 m and a longitudinal slope of 0.002. Compute the discharge rate and velocity for a water depth of 2.34 m. Compute normal depth, critical depth, and critical slope for a discharge of 6.67 m³/s.arrow_forward6. 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_forward
- A sluice gate was installed upstream of a rectangular channel that has a width of 5 m. The upstream and downstream depth on the sluice gate are 2 m and 0.4 m, respectively. If Cd is 0.6, what is the discharge? Neglect the upstream velocity head. a. 7.52 cms b. 10.02 cms c. 12.53 cms d. 15.66 cmsarrow_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
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