A trapezoidal channel with 3.0m bottom width and 1:1 side slope carries a discharge of 10 m³/s at a slope of 12 cm/km. A hydraulic jump is formed in the channel with an initial depth of 0.6m. Calculate the momentum function, the critical depth, and the conjugate depth. Y₁ = 0.6m Y₂ B Fig. 5 Hydraulic jump and channel's cross-section y k b = 3.0m

A trapezoidal channel with 3.0m bottom width and 1:1 side slope carries a discharge of 10 m³/s at a slope of 12 cm/km. A hydraulic jump is formed in the channel with an initial depth of 0.6m. Calculate the momentum function, the critical depth, and the conjugate depth. Y₁ = 0.6m Y₂ B Fig. 5 Hydraulic jump and channel's cross-section y k b = 3.0m

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

Question 2 Figure 2.1 shows the formation of a hydraulic jump in a rectangular open channel having a base width, B, of 3 m, a bed slope of 0.004, the Manning's coefficient, n, of 0.01 and a discharge, Q, of l15 m³/s. Determine the state of flow, yı and the head loss in the jump. Y2 Yo So = 0.004 n= 0.01 Fr,1 Figure 2.1: Hydraulic Jump
A triangular channel flows with a side slope 1 H:3V. If the roughness coefficient and hydraulic radius are 0.018 and 0.50 m. Determine the value of friction factor. A C 0.028 0.024 B D 0.032 0.036
: A box culvert, as shown in the figure, was designed to carry a discharge (Q m/s) from a square channel. Manning coefficient for channel and culvert is 0.015. The longitudinal slope of channel is 0.00005. The length of the culvert is 75m, Ke=0.16, and Ko = 1.0. y of soil ys= 1.6 ton/m y of conc. Ye= 2.4 ton/m y of water yw=1.0 ton/m Use 40 ton for L.L If the entrance of culvert is full submerged: - 1. What is the diameter of the culvert (use 1 dig only)? 2. What is the total head loss along the culvert (use 3 digs only)? 3. What is the total load on Top of the culvert (use 2 digs only)? 0.1 4 Earth Filling Y 0.2 Y Scanned with CamScanner X=6.2 Q=8.2
11.28. A trapezoidal channel is to be designed to carry a dis- charge of 75 m'/s at maximum hydraulic efficiency. The side slopes of the channel are 2H/1 V and the Manning n value is .030. a. If the maximum allowable velocity in the channel is 1.75 m/s, what should be the dimensions of the channel? b. What should be the slope of the channel?
Water in a rectangular, finished-concrete channel, n = 0.012 overflows a dam, as shown in the figure below, and goes into a stilling basin at which there is a hydraulic jump. If the channel is of width 7.5m, has a slope 0.0065, and carries 21.5 cumec, calculate the depth y at O and the depth y2 at the hydraulic jump. Figure 2: a). Y = 12.11m; yl= 0.44m ; y2 = 4.45m Jump b). Y = 10.10m ; yl=0.35m ; y2 = 3.4lm c). Y = 8.88m ; yl= 0.24m ; y2 = 2.51m 8m d). Y = 7.76m ; yl= 0.18m ; y2 = 1.88m 135 m Solution:
Question 2 A trapezoidal channel with these conditions: Left side slope = 3H:2V Right side slope = vertical . has a bottom width of 8 meters and depth of 6 meters. Determine the hydraulic radius in meters.
A horizontal channel with a trapezoidal cross-section has a bottom width of 5 m, sidewall slope of 1V:2H, and discharge of Q = 10.85 m³/s. The water level was kept constant at the gate to 0.25 m to form a hydraulic jump in the channel. The conjugate depth based on the graphical method (Figure 6-7) is: Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a b с d Vapa 1.50 m 1.75 m 2.10 m 2.25 m 14 12 10 60 1 50 S 100 10 150 20 250 300 Q/(my₁²(gy₁)¹/2) Figure 6-7: Prediction of conjugate depth ratio in hydraulic jumps for trapezoidal cross-sections. 200 30 350 B/(my) = 50 400 450 500
Determine the critical depth in the trapezoidal channel for a Q = 12 m3/s. The width B = 6 m. B= 6 m Oyc0.712 m Oyc0.741 m O Yc = 0.611 m O yc = 0.785 m 45° AMSTER MYDEFEN 100
At the foot of a spillyway, water flows at a depth of 23 cm with a velocity of 8.1 m/s, as shown in the figure. Spillway tusen alitonq ¥ etop en M-3 profile 23 cm Hydraulic 19 Jump Z y₁= ? The flow enters as an M-3 profile in the long wide rectangular channel with bed slope = 1/1800 and Manning's n = 0.015. A hydraulic jump is formed at a certain distance from the foot of the spillway. Assume the acceleration due to gravity, g = 9.81 m/s². Just before the hydraulic jump, the depth of flow y, (in m, round off to 2 decimal places) is
Q- The sequent depth ratio in a hydraulic jump formed in a rectangular horizontal channel is 10. The Froude number of the supercritical flow is..
Water flows in a trapezoidal channel of 2 m width and side slope at 1:1. At upstream depth of 2 m, the Froude's Number is 3. If the water undergoes a hydraulic jump: Determine the Froude's number downstream of the jump. A 0.339 B 0.384 0.435 D 0.486
A box culvert, as shown in the figure, was designed to carry a discharge (Q m'is) from a square channel. Manning coefficient for channel and culvert is 0.015. The longitudinal slope of channel is 0.0000s. The length of the culvert is 75m, K.- 0.16, and Ke = 1.0. y of soil y, = 1.6 ton/m y of conc. ye- 24 ton/m y of water yw=1.0 ton/m Use 40 ton for L.L If the entrance of culvert is full submerged: - 1. What is the diameter of the culvert (use 1 dig only)? 2. What is the total head loss along the culvert (use 3 digs only)? 3. What is the total load on Top of the culvert (use 2 digs only)? ( Earth Filling 0.2Y