Ch. 10. A flow rate of 2.1 m/s is to be carried in a newly constructed finishedconcrete channel at a velocity of 1.3 m/s. Determine the dimensions of the channel cross sectionand required slope if the cross section is (a) rectangular, with depth equal to one-half the width;(b) semicircular; and (c) trapezoidal, with depth equal to the width of the channel bottom andwith side slopes of 1:1.

Given data: Flow through the channel = 2.1 m3/s Velocity of the flow = 1.3 m/s

Answered: Ch. 10. A flow rate of 2.1 m/s is to be…

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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A semi-circular channel is made from brickwork (n = 0.013) and has a radius of1.524 m. If the channel slope is 0.002, determine the rate of discharge if thechannel is flowing full.
1.Determine the top width of the trapezoidal canal with sides sloping at 60ᵒ with the horizontal in order to have a minimum seepage. The canal is to carry a discharge of 25 m3/s with an average velocity of 1 m/s. Note: for minimum seepage = bottom width = 4(depth)(tanθ/2). 2.Determine the depth of the trapezoidal canal with sides sloping at 60ᵒ with the horizontal in order to have a minimum seepage. The canal is to carry a discharge of 25 m3/s with an average velocity of 1 m/s. Note: for minimum seepage = bottom width = 4(depth)(tanθ/2) 3.A rectangular flume of most efficient proportion b = 2d has a perimeter of 6 m. and carries a discharge of 4.70 m3/s. If the same material were used for the most efficient trapezoidal section, determine the discharge of the new section?
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A flow of 10.0 m⅔ is to be passed in a rectangular channel with the depth of flow equal to one-third of the width. The channel is lined with smooth concrete (n=0.014). Calculate the channel dimensions (B=? y=?) and its longitudinal slope necessary to carry the above discharge with a mean velocity of 2.5 m/s.
Water flows in a trapezoidal channel in which the bottom width is 3 m and the side slopes are 2:1 (H:V). The channel lining has an estimated Manning n of 0.02, and the longitudinal slope of the channel is 0.1%. If the flow rate is 150 m³/s and the depth of flow at a gaging station is 4 m, classify the water-surface profile, state whether the depth increases or decreases in the downstream direction, and calculate the slope of the water surface at the gaging station.
The canal cross section have Manning's n values of 0.025 The uniform channel slope is 0.004. Determine the flow rates when water depths are 5ft (1.52m) above the channel bottom. Depth 5 ft 100 ft ➜
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Direction: A rectangular open channel needs to be designed to carry a flow of 2.0 m³/s under uniform flow conditions. The Manning's roughness coefficient is 0.018. The channel should be such that the flow depth is equal to half the width, and the Froude number is equal to 0.5. The bed slope of the channel to be provided is
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Consider 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.

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