Q4/ The Fig. 4 shows a smooth curved vane attached to a rigid foundation. The jet of water, rectangular in section 75 mm in wide and 25 mm in thick, strike the vane with a velocity of 25 m/s. Calculate the vertical and horizontal components of the force exerted on the vane and indicate in which direction these components act? Fig. 4 Q5/ Prove that the theoretical discharge over a sharp crested rectangle weir is: B√2gH -- theoretical 3

Q4/ The Fig. 4 shows a smooth curved vane attached to a rigid foundation. The jet of water, rectangular in section 75 mm in wide and 25 mm in thick, strike the vane with a velocity of 25 m/s. Calculate the vertical and horizontal components of the force exerted on the vane and indicate in which direction these components act? Fig. 4 Q5/ Prove that the theoretical discharge over a sharp crested rectangle weir is: B√2gH -- theoretical 3

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter7: Seepage

Section: Chapter Questions

Problem 7.7CTP

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A concrete gravity dam with a trapezoidal section is holding water as shown in the figure. A distance of 15 meters from the toe, a drain is located. The drain has a pressure due to uplift of zero and increasing uniformly to full hydrostatic at the heel. Upstream face 1H:5V, while downstream face is inclined 1H:2V. Which of the ff nearly gives the maximum foundation pressure on the base of the dam in kilopascal ? Assume 23.54 kN/m3 for the unit weight of concrete. a. 3114 b. 1095 c. 4115 d. 964 e. 680
Refer to Problem 8.4. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length ( measured along the axis of the structure).
a. Which of the following most nearly gives the factor of safety against sliding? b. Which of the following most nearly gives the factor of safety against overturning? c. Which of the following most nearly gives the pressure intensity at the heel of the dam?
Consider a farm irrigation ditch in a loam soil having the following dimensions: bottom width= 0.6 m, total depth, 0.5 m, side slopes= 1.5 horizontal to 1 vertical, and depth of water= 0.4 m. If the bottom of the ditch has a uniform slope of 2 m/km, and if the bottom & sides are kept smooth and free from weeds, what will be the mean velocity(m/s) of flow and discharge in m^3/s? Use n = 0.02. Find the shear stress at the watersurface, at half flow depth, and the canal bottom in N/m2 (or Pa). What is the shear velocity in m/sec?
A. A concrete dam retaining water is show in the figure. If the specific weight of concrete is 23.5 KN/m^3. What is the total hydrostatic force? Find the resultant force. Find the factor of the safety against sliding if the coefficient of friction is 0.50. What is the factor of safety against overturning? Find the location of the resultant. Find the maximum intensity pressure. Determine the minimum intensity pressure.
A concrete dam retaining water is shown in FIGURE FMHF-1. If the specific weight of concrete is 23.5 kN/m^3, determine the following: Factor of safety against sliding (coefficient of friction: 0.48)a. 2.48 b. 1.34 c. 3.77 d. 3.42 39. Factor of safety against overturninga. 1.34 b. 3.105 c. 3.416 d. 1.987 40. Maximum soil pressure intensitya. 73.22 b. 183.48 c. 173.53 d. 58.48
Use 10 kN/m3 for unit weight of water. For a concrete structure that retains water, a flow net is sketched as shown in Figure H8-3. Noting the marked location of the Datum, answer the following: Mark on the figure all boundary Also mark the type of each boundary. Calculate the uplift pressures at points A, B, C, D, E, and F. Calculate the factor of safety against The seepage loss (q) per day per meter length of the (i.e. q in m3/day/m) if the permeability of the soil is k = 10-4 m/sec.
A concrete dam is triangular in cross section and (30+0.314)m high from the horizontal base. If water reaches a depth of (27+0.314)m on the vertical face, what is the minimum length of the base of the dam such that the resultant will intersect the base within the middle third? What minimum coefficient of friction is required to prevent sliding ? Determine the pressure distribution along the base. If the uplift pressure varies from half full hydrostatic at the heel to zero at the toe.
The figure shows the section of weir, the base of which is 1.5m below the ground. The necessary flow net has also been drawn. a) Find the uplift pressure at Point A. b) Compute the uplift pressure at Point B. c) Determine the total uplift force per meter width under the weird
1. A trapezoidal channel has a bottom width of 6 m and side slopes of 2H:1V. If thedepth of flow is 1.2 m and the flow is 20.40 m3/s,a. Compute the specific energy b. Compute the slope of channel if n = 0.014 c. Compute the average shearing stress at the boundary
A reinforced concrete water tank of size 25 ft x 25 ft and resting on the ground surfacecarries a uniformly distributed load of 5.25 kips/ft2. Estimate the maximum verticalpressures at depths of 37.5 and 60 ft by point load approximation below the center of thetank.
A masonry dam of trapezoidal cross section, withone face vertical has a thickness of 60 cm at the top,3.70 m at the base, and has a height of 7.40 m.What is the depth of water on the vertical face ifthe resultant intersects the base at the downstreamedge of the middle third? Assume that the upliftpressure varies uniformly from full hydrostatic atthe heel to zero at the toe. Follow the steps: Step 1. Solve for all the forces. Step 2. Solve for Rx and Ry. Step 3. Solve for RM and OM. Step 4. Solve for x, where we will get the value of h or the depth of water. Note: The answer must be near or exactly 5.83m.