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Depth = 54.2 m
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R = y ус 10 m3/s 50 m So-0.0004, f-0.030 Question 8 -Standard Step Method For the dam in Question 7, find the depth 30k...
A trapezoidal channel with bottom width of 10 m and side slopes of 1V:1.5H is carrying a flow of 80 m3/s. The channel bo...
A trapezoidal channel with bottom width of 10 m and side slopes of 1V:1.5H is carrying a flow of 80 m3/s. The channel bottom slope is 0.002 and n = 0.015. A dam is planned that will raise the flow depth to 10 m. Compute the flow depth by using standard step method in the channel 250, 500, and 750 m upstream of the dam.
Question 3: Compound channel flow Consider the compound channel section below. - 17.0 n = 0.030...
Question 3: Compound channel flow Consider the compound channel section below. - 17.0 n = 0.030 ng = 0.035 7.0 7.0 0.9 So = 0.0002 3.0 12 = 0.02 a) Use the divided channel method to estimate the discharge in the compound channel for a depth of 1.2 m using vertical divisions. b) Given that the stage height and flow rate measured at a given station B is 3.5 m and 6 m/s, respectively, use the standard step method to...
A 4-m high dam with a slope of 8:1 ?V) has been proposed to ensure steady...
A 4-m high dam with a slope of 8:1 ?V) has been proposed to ensure steady water levels in a rectangular channel with a width of 5 m, a bottom slope of 0.2%, a Manning's n of 0.02, and discharge rate of 10 m3/s as shown below. proposed aim So-0.002 1. (15 points) Sketch out the gradually varied flow profiles for the water surface around the proposed dam by hand a. Determine the critical depth for the channel b. Estimate...
Numerical Methods Consider the following IVP dy=0.01(70-y)(50-y), with y(0)-0 (a) [10 marks Use the Runge-Kutta method of order four to obtain an approximate solution to the ODE at the points t-0.5 an...
Numerical Methods
Consider the following IVP dy=0.01(70-y)(50-y), with y(0)-0 (a) [10 marks Use the Runge-Kutta method of order four to obtain an approximate solution to the ODE at the points t-0.5 and t1 with a step sizeh 0.5. b) [8 marks Find the exact solution analytically. (c) 7 marks] Use MATLAB to plot the graph of the true and approximate solutions in one figure over the interval [.201. Display graphically the true errors after each steps of calculations.
Consider the...
H-35 20 8 10 12 5 10 20 10 7 4 15 4 25 8 7...
H-35 20 8 10 12 5 10 20 10 7 4 15 4 25 8 7 4 582 10 7 697787 676 10 3 12 10 5 3 1 5357 2 FYNNN YYYYYY Y N N N N N N N N N N N c-25 19 22 20 22 31 21 18 24 20 28 23 29ー// 23 22 25 21 22 21 I- BMFFM F F M M M M M F F F F F F M...
Question 1 A slope with angle B -45, H = 9 m, cohesion c =20 kN/m²,...
Question 1 A slope with angle B -45, H = 9 m, cohesion c =20 kN/m², 0=25, y = 17 kN/m is to be constructed; Find; 1- The critical height of the slope. 2- The factor of safety so that Fc = FØ =F (Hint: Taylors stability number) Question 2 A slope of height H=12 m, ß = 50°, r=18 kN/m', c=30 kN/m², Ø = 25° Find the factor of safety using; 1- Ordinary method of slices. 2- Bishop's simplified...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2 + y2 that lies inside x2 + y2-1. Find the surface area of this 8. Consider the part of z surface. 9. Use Green's Theorem to find Find J F Tds, where F(x, y) (ry,e"), and C consists of the line segment...
6. Find the reference angle θ , and θ sketch and e in standard position. 160 7. Using the figure below, if -20° and y-16, determine the exact value of r 8. Use the given values to evaluate Gif po...
6. Find the reference angle θ , and θ sketch and e in standard position. 160 7. Using the figure below, if -20° and y-16, determine the exact value of r 8. Use the given values to evaluate Gif possible) two tri ns to find tan, and cscp 10 cotp- 9. Find the exact values of the six tr ions of the angle θ for each of the two triangles. 7.5 15 10. equilibrium of an oscillating weight suspended by...
Question 3: Compound channel flow Consider the compound channel section below. - 17.0 n = 0.030 ng = 0.035 7.0 7.0 0.9 So = 0.0002 3.0 12 = 0.02 a) Use the divided channel method to estimate the discharge in the compound channel for a depth of 1.2 m using vertical divisions. b) Given that the stage height and flow rate measured at a given station B is 3.5 m and 6 m/s, respectively, use the standard step method to...
A 4-m high dam with a slope of 8:1 ?V) has been proposed to ensure steady water levels in a rectangular channel with a width of 5 m, a bottom slope of 0.2%, a Manning's n of 0.02, and discharge rate of 10 m3/s as shown below. proposed aim So-0.002 1. (15 points) Sketch out the gradually varied flow profiles for the water surface around the proposed dam by hand a. Determine the critical depth for the channel b. Estimate...
Numerical Methods
Consider the following IVP dy=0.01(70-y)(50-y), with y(0)-0 (a) [10 marks Use the Runge-Kutta method of order four to obtain an approximate solution to the ODE at the points t-0.5 and t1 with a step sizeh 0.5. b) [8 marks Find the exact solution analytically. (c) 7 marks] Use MATLAB to plot the graph of the true and approximate solutions in one figure over the interval [.201. Display graphically the true errors after each steps of calculations.
Consider the...
H-35 20 8 10 12 5 10 20 10 7 4 15 4 25 8 7 4 582 10 7 697787 676 10 3 12 10 5 3 1 5357 2 FYNNN YYYYYY Y N N N N N N N N N N N c-25 19 22 20 22 31 21 18 24 20 28 23 29ー// 23 22 25 21 22 21 I- BMFFM F F M M M M M F F F F F F M...
Question 1 A slope with angle B -45, H = 9 m, cohesion c =20 kN/m², 0=25, y = 17 kN/m is to be constructed; Find; 1- The critical height of the slope. 2- The factor of safety so that Fc = FØ =F (Hint: Taylors stability number) Question 2 A slope of height H=12 m, ß = 50°, r=18 kN/m', c=30 kN/m², Ø = 25° Find the factor of safety using; 1- Ordinary method of slices. 2- Bishop's simplified...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2 + y2 that lies inside x2 + y2-1. Find the surface area of this 8. Consider the part of z surface. 9. Use Green's Theorem to find Find J F Tds, where F(x, y) (ry,e"), and C consists of the line segment...
6. Find the reference angle θ , and θ sketch and e in standard position. 160 7. Using the figure below, if -20° and y-16, determine the exact value of r 8. Use the given values to evaluate Gif possible) two tri ns to find tan, and cscp 10 cotp- 9. Find the exact values of the six tr ions of the angle θ for each of the two triangles. 7.5 15 10. equilibrium of an oscillating weight suspended by...
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