(a) Show that the critical depth for rectangular channels is expressed by y. = [a Q²/gb²], where Q is the discharge, b is the channel width, and a is the energy coefficient.
(a) Show that the critical depth for rectangular channels is expressed by y. = [a Q²/gb²], where Q is the discharge, b is the channel width, and a is the energy coefficient.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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[a Q/gb], where Q is the
(a) Show that the critical depth for rectangular channels is expressed by y.
discharge, b is the channel width, and a is the energy coefficient.
(b) A half trapezoid flood drainage channel (Fig. 3b) has a flow of 100 m³/s. If the flow depth upstream
of the 0.2 m step-rise is 4 m, what is the depth at an immediately downstream section of the 0.2 m step-
rise? Assume there are no losses in the transition. Also compute the flow depth at the a very far
downstream end if the flood drainage channel ends in a free overfall.
(c) For a symmetrical compound channel section (Fig. 3c), compute the n., α, and S, based on the
assumption that the depth of flow in the section is 5 m; the flood plains and the main channel have the same
bottom slope of 0.001; and roughness coefficient for the main channel and the flood floodplains are
respectively 0.021 and 0.039.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f4798aa-8bdb-495d-99e7-9778c729d3ef%2Fed3f2f75-6bd9-4f29-a0c3-4c5e3eca511d%2F2yeaopo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:=
[a Q/gb], where Q is the
(a) Show that the critical depth for rectangular channels is expressed by y.
discharge, b is the channel width, and a is the energy coefficient.
(b) A half trapezoid flood drainage channel (Fig. 3b) has a flow of 100 m³/s. If the flow depth upstream
of the 0.2 m step-rise is 4 m, what is the depth at an immediately downstream section of the 0.2 m step-
rise? Assume there are no losses in the transition. Also compute the flow depth at the a very far
downstream end if the flood drainage channel ends in a free overfall.
(c) For a symmetrical compound channel section (Fig. 3c), compute the n., α, and S, based on the
assumption that the depth of flow in the section is 5 m; the flood plains and the main channel have the same
bottom slope of 0.001; and roughness coefficient for the main channel and the flood floodplains are
respectively 0.021 and 0.039.
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