A rectangular channel of planed timber (n = 0.012) is 1.5 m wide and carries 1.7 m³/s. The depth of flow varies from 1.2 m to 0.9 m at a section 200 m downstream. Determine the following: (a) V₁ and V₂ (m/s), (b) head loss (hu) between 1 and 2 in meters, (c) slope of EGL, S, and (d) channel bed slope, So.

A rectangular channel of planed timber (n = 0.012) is 1.5 m wide and carries 1.7 m³/s. The depth of flow varies from 1.2 m to 0.9 m at a section 200 m downstream. Determine the following: (a) V₁ and V₂ (m/s), (b) head loss (hu) between 1 and 2 in meters, (c) slope of EGL, S, and (d) channel bed slope, So.

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

Design a canal culvert 45 metres long to pass a normal full supply discharge of 5 m3/s with 0.lm head loss. The upstream and downstream canal parameters are as given in the following. Ymax=1.53 m Vmax=0.835 m/s Ymin=1.10 m V min =0.72 m/s At 5 m3/s, the normal upstream depth of flow = 1.4 m, assume a square box section DxD is to be used with a rounded entrance so that K1=0.l6. if R = D/4 for a single box section
4.58. A trapezoidal canal has a longitudinal slope of 1%, side slopes of 3:1 (H:V), a bottom width of 3.00 m, a Man- ning's n of 0.015, and carries a flow of 20 m³/s. The depth of flow at a gaging station is observed to be 1.00 m. Answer the following questions: (a) What is the normal depth of flow in the channel? (b) What is the critical depth of flow in the channel? (c) Classify the slope of the channel and the water sur- face profile at the gaging station.
2. Designing an open channel_to convey the water to the two downstream communities where, the level of the two downstream communities relative to the dam bed is shown. 2.1 Design an open channel using Manning equation. The channel should carry a flow rate of 8.5 m/s. Use the best hydraulic section approach to size the channel. It is concrete lined with a bed slope of 0.001m/m, and a side slope of 2. 2.2 Show a section of your designed channel with specified dimensions (use a proper drawing to scale).
Ans. 352.36 cu. m/s I need solution #hydraulics
A 3.0 m wide rectangular channel caries water to of 1.5 m. In order to measure the discharge, the width is reduced to 2.0 m and a hump of 0.3m height is provided in the bottom. Calculate the discharge if water surface in the contracted section drops by 0.15 m. Assume no losses.
A rectangular concrete channel (n = 0.014) has a bottom width of 5.05 m and a longitudinal slope of 0.002. Compute the discharge rate and velocity for a water depth of 2.34 m. Compute normal depth, critical depth, and critical slope for a discharge of 6.67 m³/s.
3) b) The normal depth of flow in a 5.0 m wide rectangular channel shown in Figure 3 below is 1.0 m. The channel is laid at a slope of Im/km and has Manning's n of 0.02. Calculate the discharge and velocity in this channel associated with normal flow conditions. c) At a point downstream of that in part (b) above, there is a weir, Az is 0.5 m in height. If the section properties of the channel remains the same as in part (b), determine yı the depth of flow just before the weir. Assume negligible headloss across the weir and critical flow occurs over the weir. (yı lies between 1.2- 1.3 m) YA AZ Y2 Y2 for Q = const AZ Figure 3- Question 3 (b) and 3 (c)
A trapezoidal channel has a slope of 1 H to 2 V and the slope of the bed is 1 in 2000. The area of the section is 30 cm². Find the dimensions of the sections if it is economical. Determine the discharge of the most economical section if C = 60. EXAMPLE 13.4
= [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.
The flow rate of water in a 3-m-wide horizontal open channel is being measured with a 0.25-m-high sharp-crested rectangular weir of equal width. If the water depth upstream is 0.9 m, the flow rate of water is(a) 1.75 m3/s (b) 2.22 m3/s (c) 2.84 m3/s(d) 3.86 m3/s (e) 5.02 m3/s
Design a semi-circular open channel (n=0.014) that is anticipated to convey 20cumecs of water. The slope of the channel bed is 0.0015. Solve the hydraulic radius of the designed section.
a. A rectangular channel is 4 m wide and has a longitudinal slope of 0.002. The channel is poured concrete and it is discharging a uniform flow at 25 m3/s. What is the normal depth? Use Table C-4 for the roughness coefficient. Table C-4. Average Manning Roughness Coefficients for Larger Open Channels Channel Manning Roughness Coefficient(n) Unlined Channels Clay Loam Sand Lined Channels Grass Lined (well maintained) Grass Lined (not maintained) Wetland-Bottom Channels (New Channel) 0.023 0.020 0.035 0.045 0.023 Wetland-Bottom Channels (Mature Channel) See Table A-5 Riprap-Lined Channels See Chapter 7, Section 7.6.17 Concrete (Poured) 0.014 Air Blown Mortar (Gunite or Shotcrete)(¹) 0.016 Asphaltic Concrete or Bituminous Plant Mix 0.018 (¹) For air blown concrete, use n=0.012 (if troweled) and n=0.025 if purposely roughened. Note: For channels with revetments or multiple lining types, use composite Manning roughness coefficient based on component lining materials.