Chapter 11, Problem 3RP

Water flows in a 2-ft-wide rectangular channel at a rate of 10 ft³/s. If the water depth downstream of a hydraulic jump is 2.5 ft, determine (a) the water depth upstream of the jump, (b) the upstream and (c) downstream Froude numbers, and (d) the head loss across the jump. (a) y₁ = i (b) Fr₁ = i (c) Fr₂ = i (d) h₁ = ft ft

A hydraulic jump at the base of a spillway of a dam is such that the depths upstream and downstream of the jump are 0.8 and 3.2 m, respectively (see the Video). If the spillway is 12 m wide, what is the flowrate over the spillway? Q= i m³/s

(Manning equation) Water flows in a rectangular channel of width b at a depth of b/2. Determine the diameter of a circular channel (in terms of b) that carries the same flowrate when it is half-full. Both channels have the same Manning coefficient, n, and slope. b

(Manning equation) A weedy irrigation canal of trapezoidal cross section is to carry 20 m³/s when built on a slope of 0.60 m/km. If the sides are at a 45° angle and the bottom is 8 m wide, determine the width of the waterline at the free surface. i m

Water flows in a 1.2-m-diameter finished concrete pipe so that it is completely full and the pressure is constant all along the pipe. If the slope is So = 0.0073, (a) determine the flowrate by using open-channel flow methods. Compare this result with (b) that obtained using the pipe flow methods of Chapter 8 (Use Colebrook formula, Table 8.1, Table 10.1 and assume that Re > 10º). (a) Q = i (b) Q = i m³/s m³/s

for this 4 figuredarw the Kinematic Diagram:DoF:F=Type/Name ofmechanismEvolution:

Two channels and two plates are used to formthe column section shown. For b = 200 mm,determine the moments of inertia and theradii of gyration of the combined section withrespect to the centroidal x and y axes.For the section of problem, determine thefirst moment of the upper plate about thecentroidal x-axis

Determine by direct integration the moment of inertia of theshaded area at right with respect to the x axis shown.  Determine by direct integration the moment of inertia of theshaded area of the figure with respect to the y axis shown.

For the following MATLAB code, I need to answer a few questions. Can you identify the curves as elliptic functions? Which curves reflect the sn, cn, and dn functions?From the curves, determine the maximum amplitudes and the period corresponding toeach angular velocity component.   clc; clear all;   I = [500; 125; 425]; w = [0.2; 0.1; 0.2]; rev = 0:0.01:10; C = eye(3);   % Using ode45 to integrate the KDE and DDE options = odeset('RelTol',1e-9,'AbsTol',1e-9); result = ode45(@K_DDE, rev, [w; I; C(:)], options); v = result.x;       % Extracting information from the ode45 solver w = result.y(1:3, :); C_ode = reshape(result.y(7:end, :), [3,3,length(v)]);     plot(v, w) xlabel('rev') ylabel('w (rad/s)') legend('w1', 'w2', 'w3')         % Functions function dwCdt = K_DDE(~, w_IC)   % Extracting the initial condtions to a variable w = w_IC(1:3); I = w_IC(4:6); C = reshape(w_IC(7:end), [3, 3]);     I1 = I(1); I2 = I(2); I3 = I(3);   K1 = -(I3-I2)/I1; K2 = -(I1-I3)/I2; K3 = -(I2-I1)/I3;   %…