(a) A uniform flow of 300 cfs occurs at a depth of 5 ft in a long rectangular channel 10 ft wide. Compute the minimum height of a flat-top hump that can be built on the floor of the channel in order to produce a critical depth. What will result (upstream and downstream) if the hump is lower or higher than the computed minimum height? (b) If the critical depth in Q# 2a is produced by a contraction of the channel, what will be the minimum contracted width? (c) A hydraulic jump is formed just downstream of a sluice gate located at the entrance of a channel. There is a constant-level lake upstream of the sluice gate. The flow depth and velocity in the channel downstream of the jump are 5.2 ft and 4.3 ft/sec, respectively. What is the lake level? Assume the losses for flow through the sluice gate is negligible.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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(a) A uniform flow of 300 cfs occurs at a depth of 5 ft in a long rectangular channel 10 ft wide. Compute
the minimum height of a flat-top hump that can be built on the floor of the channel in order to produce a
critical depth. What will result (upstream and downstream) if the hump is lower or higher than the
computed minimum height?
(b) If the critical depth in Q# 2a is produced by a contraction of the channel, what will be the minimum
contracted width?
(c) A hydraulic jump is formed just downstream of a sluice gate located at the entrance of a channel. There
is a constant-level lake upstream of the sluice gate. The flow depth and velocity in the channel downstream
of the jump are 5.2 ft and 4.3 ft/sec, respectively. What is the lake level? Assume the losses for flow
through the sluice gate is negligible.
Transcribed Image Text:(a) A uniform flow of 300 cfs occurs at a depth of 5 ft in a long rectangular channel 10 ft wide. Compute the minimum height of a flat-top hump that can be built on the floor of the channel in order to produce a critical depth. What will result (upstream and downstream) if the hump is lower or higher than the computed minimum height? (b) If the critical depth in Q# 2a is produced by a contraction of the channel, what will be the minimum contracted width? (c) A hydraulic jump is formed just downstream of a sluice gate located at the entrance of a channel. There is a constant-level lake upstream of the sluice gate. The flow depth and velocity in the channel downstream of the jump are 5.2 ft and 4.3 ft/sec, respectively. What is the lake level? Assume the losses for flow through the sluice gate is negligible.
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