Since the discharge through the trapezoidal cross section channel in the figure is Q = 30 m³/s, channel bottom slope 1 = 0.0025, n = 0.02 channel bottom width B₁ = 5 m and m = 1.5, Determine a) Critical depth; y, b) Critical channel slope: I, and the regime of the flow, c) Uniform flow depth: yo, d) Froude Number: NF and the regime of the flow. B Bt m 1 h

Since the discharge through the trapezoidal cross section channel in the figure is Q = 30 m³/s, channel bottom slope 1 = 0.0025, n = 0.02 channel bottom width B₁ = 5 m and m = 1.5, Determine a) Critical depth; y, b) Critical channel slope: I, and the regime of the flow, c) Uniform flow depth: yo, d) Froude Number: NF and the regime of the flow. B Bt m 1 h

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A trapezoidal channel has a bed width of 5 m, a side slope of 2.5:1 (H:V) and a flow depth of 3 m. The velocity = 1.2 m/s and the velocity head = 0.073 m i. Determine the flow area (m²) of this channel. ii. Determine the wetted perimeter (m) of this channel. iii. Determine the hydraulic radius (m) of this channel. iv. Determine the width (m) of flow across the surface of this channel. v. Determine the freeboard (mm) of this channel. vi. Determine the total channel depth (m). vii. Determine the discharge (m³/s) of this channel. viii. Determine the Froude number of the flow. ix. Comment on the state of flow.…
A trapezoidal channel has a bed width of 5 m, a side slope of 2.5:1 (H:V) and a flow depth of 3 m. The velocity = 1.2 m/s and the velocity head = 0.073 m i. Determine the flow area (m²) of this channel. ii. Determine the wetted perimeter (m) of this channel. iii. Determine the hydraulic radius (m) of this channel. iv. Determine the width (m) of flow across the surface of this channel. v. Determine the freeboard (mm) of this channel. vi. Determine the total channel depth (m). vii. Determine the discharge (m³/s) of this channel. viii. Determine the Froude number of the flow. ix. Comment on the state of flow.…
In the case of a rectangular channel 3 m wide and 1 m deep, the value of Manning's constant is 0.022 for earthen channel after weathering. For a bed slope of 1/2500, find the flow rate in m^3/s
A flow of 30 m3 /s occurs in a trapezoidal channel having a base width of 3 m, side slopes 1 vertical to 2 horizontal. Determine the critical depth, yc.
A smooth transition section connects two open channels of the same width, as shown in Figure P10.15. The water depth decreases so that the ratio of the downstream to upstream depths Y2/Y1 = 0.5. If the upstream Froude number F1 = 0.35, determine the downstream Froude number F2, and the ratio h/Y1.
A trapezoidal channel with 3.0 bottom width and 1:1 side slope carries a discharge of 10?3 ? at a slope of 12cm/km. A hydraulic jump is formed in the channel with an initial depth of 0.6 m. Calculate the momentum function, the critical depth, and the conjugate depth.
An unsymmetrical trapezoidal channel with one side inclined from horizontal by 35 degree and the other inclined from vertical by 40degree is to be designed to carry a 2.0 cubic meters per second discharge. Determine the dimensions of the channel for most efficient section if roughness coefficient is 0.030 and average longitudinal slope is 0.05. Draw the cross section of the open channel considering the freeboard height. Use Chezy and Kutter’s C formula.
There is a rectangular channel that will be excavated downstream of a dam after a stilling basin both with a width of 15 meters. The depth of the wather flow upstream of the dam is 4.27 meters and the discharge flow above the dam is 112.5 cubic meters per second. the channel wil be excavated in earth and n = .o25 and maintains a uniform flow depth under a subcritical flow regime. I need to determine 1. the bottom channel slope needed in the downstream channel and 2. the length of the stilling basin if the dissipation stucture starts at dissipated along the structure. The design should consider that the flow depth at the end of the still basin is similar to the flow depth in the channel. For a more realistic approach in the design, the head loss between the station upstream of the dam and the station at the beginning of the still basin is 10% of the velocity head observed at the beginning of the basin
A rectangular open channel, with a constant discharge of 32m3/s, has a smooth expansion from (1) to (2) as shown in figure Q2 in the flow direction. At (1) the channel is 3.6m wide and the water depth is 2.4m . At (2) the water depth is 0.8m. Determine the channel width at (2), stating any assumptions made.
Knowing that the Froude number is equal to unity in critical flow condition, what is the critical depth in a 3-m rectangular channel with the total discharge of Q = 2.65 m3/s? a) 0.38 m b) 0.43 m c) 0.51 m d) 0.64 m
An unsymmetrical trapezoidal channel with one side inclined from vertical by 35o and the other inclined from horizontal by 40o is to be designed to carry a 2.5 cubic meters per second discharge. Determine the dimensions of the channel for most efficient section if roughness coefficient is 0.025 and average longitudinal slope is 0.05. Draw the cross section of the open channel considering the freeboard height. Use Chezy and Kutter’s C formula.
The bed width of a trapezoidal channel is 5.0 m, 5,= 0.0004, the side slope is m = 2 horizontal: 1 vertical, and the n value is 0.02: y = 3.0 m is the normal depth of flow. Calculate and plot the resulting gradually varied flow using the direct step method, when the channel flows into a pool at the downstream end and the pool elevation is 1.25 m higher than the channel bed elevation at the downstream end. Estimate the length of the gradually varied flow that the pool elevation produces.