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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Design a concrete-lined canal cross section to carry a discharge of 24 cumecs. The longitudinal slope of the canal is 26 cm/km and the side slopes are 1.5:1, The desired bed width-depth ratio is 2.5 , (n 0.0018).
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(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.
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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.
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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.
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