Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 16, Problem 15P
To determine
(a)
The flow depth for a rectangular channel lined with rubble masonry.
To determine
(b)
The flow velocityfor a rectangular channel lined with rubble masonry.
To determine
(c)
The type of flowfor a rectangular channel lined with rubble masonry.
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Water is flowing in a weedy excavated earth channel
of trapezoidal cross section with a bottom width of
0.8 m, trapezoid angle of 50° and a bottom slope
angle of 0.5°. (a) If the flow depth is measured to be
0.52 m, determine the flow rate of water through the
channel. (b) What would the flow depth be if the
bottom angle were 1°. (note: a = 1 m1/3 /s and the
manning coefficient for a weedy excavated earth
channel is 0.03)
V =
2/31/2
R₁==b+y/tan 6)
2y/sin 8
(b) Trapezoidal channel.
I
b
P
A 5 ft wide rectangular channel lined with
rubble masonry is required to carry a flow of
300 ft3 /sec. If the slope of the channel is 2%
and n = 0.015, determine (a) flow depth, (b) flow
velocity, and (c) type of flow.
Q1( b) A float-finish concrete channel with bottom width of 3 m carries 3.5 m³/s of flow on bottom slope of 0.0003. Propose a cross section for the channel. Using the proposed shape section for this channel, compute :
(i) Critical depth of flow
(ii) Critical bottom slope of channel
(iii) State of flow based on Froude number when depth of flow is 2.5 m
(iv)Alternate depth of flow for the same specific energy in Ql(b)(iii) and the corresponding Froude number
(v) If a trapezoid section is used, analyse proportions for the most efficient trapezoid section given that the side slope is not fixed.
Chapter 16 Solutions
Traffic and Highway Engineering
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- Determine the dimensions (b, d and t) of a trapezoidal concrete canal (n=0.015) to carry a discharge of 10 m³/s over a bottom slope of 0.5% assuming that the base width is twice the depth with a side slope of 2. No need to compute for the freeboard. Evaluate the design safety in terms of actual velocity, discharge, and Froude number.arrow_forwardA rectangular concrete channel (n = 0.015) is 10.5 ft wide, has a slope of 0.006, and a discharge rate of 200 cfs. Compute the normal depth and critical depth. If the depth of flow is 5.7 ft, is the flow subcritical or supercritical? What is the type of profile?arrow_forwardWater is flowing uniformly in a finished-concrete channel of trapezoidal cross section with a bottom width of 0.8 m, trapezoid angle of 508, and a bottom angle of 0.48. If the flow depth is measured to be 0.52 m, determine the flow rate of water through the channel.arrow_forward
- Q2 Draw a sketch of a trapezoidal channel cross-section, indicating the relevant geometric parameters and explain the procedure of determining the flow depth at known flow discharge and geometric characteristics, assuming that the channel is prismatic, the bed slope and the bed roughness are constant.arrow_forwardWater flows steadily in a 1.4-m-wide rectangular channel at a rate of 0.7 m3/s. If the flow depth is 0.40 m, determine the flow velocity and if the flow is subcritical or supercritical. Also determine the alternate flow depth if the character of flow were to change.arrow_forwardAt a section in a 60 degree triangular channel, the depth of water is 2.5m and the average velocity is 2.0 m/s.1. Compute the rate of flow2. What is the critical depth3. Determine the type of flowarrow_forward
- Water flows uniformly in a rectangular channel with finished concrete surfaces.The channel width is 3m,the flow depth is 1.2m and the bottom slope is 0.002.Determine if the channel should be classified as mild,or steep for this flow.arrow_forwardAn isosceles trapezoidal canal with SS 2H to 1V has bottom width of 3m, has a uniform depth of 2m, and carries a flow of 17. Find the critical velocityarrow_forwardQuestion 14 Direction: Choose A - When both statements are true; B - When both statements are false; C- When the first statement is true and the second statement is false; D - When the first statement is false and the second statement is true. First Statement: Short intense rainstorms can produce rapid overland flow and steep rising limb Second Statement: A rectangular channel is most efficient when the flow depth is twice the flow width. A B.arrow_forward
- The triangular channel (cross-section shown below) is made of corrugated steel (n = 0.022) and conducts 10 cfs at an elevation of 1000 ft to an elevation of 900 ft. (a) What is the velocity, V (ft/s), of flow? (b) What length, L (ft), should the channel be for normal flow? (c) What is the channel bed slope, So, to maintain normal flow? 2 ftarrow_forwardConsider the flow of water through a 12-ft-wide unfinished-concrete rectangular channel with a bottom slope of 0.5°. If the flow rate is 300 ft3/s, determine if the slope of this channel is mild, critical, or steep. Also, for a flow depth of 3 ft, classify the surface profile while the flow develops.arrow_forward(b) A rectangular channel is to be designed to the following constraints: The total wetted perimeter must be 6.0 m. Must contain a total flow rate of 17 m³/s, at an average velocity of 4.5 m/s. ● Determine the width (w) and depth of flow (h) that satisfy these constraints, if the depth is not to exceed 2.0 m.arrow_forward
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