Please show FBD Solve the following dam probem (hydraulics)1. Given: Density of Concrete= 2260 kg/m3Uplift pressure: present at the baseRequired: a.) Factor of Safety against over turningb.) Factor of safety against sliding (coef. friction = 0.75)c.) Min. soil pressure at the base of the damd.) Max. soil pressure at the base of the damwaterwater15m13.8 m3m3m6m

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Answered: Solve the following dam probem…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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
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.
5. What is the factor of safety against overturning for the triangular dam? Determine the pressure distribution at the base of the dam. Neglect hydrostatic uplift. Use unit weight of concrete 24kN/m³.
A concrete gravity dam has the following data: Maximum water level = 300.00 m Bed level = 220.00 m R.L top of dam = 304.00 m %3D The d/s slope of 0.67:1 starts at RL of 295.00 m U/s face is vertical. Center line of the drainage gallery = 8.0 m from u/s face. Consider only weight of dam, water pressure and uplift pressure. Calculate only the normal stresses at the toe and heel of the dam, assuming 100% uplift pressure at the h eel and 50% at the gallery and 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
A trapezoidal cross-section mansonry dam (sg=2.4) with one vertical and one horizontal base is 24 meters high. It has a crest width of 2 meters and a base width of 12 meters. If the resultant pressure contacts the base and the outer edge of the middle third, or 2m from the centre of the base, what should be the vertical depth of the water? There is no hydrostatic pressure. Answer: h= 21.4m
Determine the pressure intensity on the base of the Dam shown. Consider without hydrostatic uplift. Unit weight of concrete is 24 kN/m^3.
A masonry dam of trapezoidal cross section, with one face vertical has thickness of 60cm at the top, 3.70m at the base, and has a height of 7.40m. What is the depth of water on the vertical face if the resultant intersects the base at the downstream edge of the middle third? Assume that the uplift pressure varies uniformly from full hydrostatic at the heel to zero at the toe
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.
A concrete dam retaining water is shown. If the specific weight of the concrete is 23.54 kN/m3, find the maximum pressure on the base. Assume there is no hydrostatic uplift and that the coefficient of friction between dam and foundation soil is 0.48. Y = 5.6 m B = 3.2 m W = 1.6 h = 4.8
A damn having a triangular section has a vertical face 24 m high and base 12 m wide. Use sg=2.4 a. determine the height of water that could rise on the vertical side of the dam so that the maximum intensity of pressure at the toe is twice the average pressure at the base. Neglect hydrostatic uplift. b. What is the shearing stress at the base?
Estimate the equivalent hydraulic bearing for flow in the vertical direction. Suppose that k1= 10 x 10^-4 cm/s, k2 = 5.0 x 10^-4 cm/s, k3 = 6.0 x10^-4 cm/s, k4 =3.0 x 10^-4 cm/s, H1 = 2.5 m, H2 =1.5 m, H3 =1.0m, H4 = 2.5 m.

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