In the crest gate in a dam shown, surface AB forms the arc of a circle of 3 m radius subtending 5 at the hinge. The gate is 3 m long with water surface at B. Compute the amount and location of t...
A 3-m diameter roller gate retains water on both sides of a dam crest as shown below. Axes (x,y) are given in the diagram to indicate the convention for positive values. The origin of your coordinate system (O) is at the base of the roller gate where it contacts the dam. Indicate direction of Forces either with an arrow, writing the direction (ie. Right/left or up/down) or +/- sign indicating what way is positive based on the axes definition given....
Problem 2 Determine the resultant force and its location on the dam face (center of pressure) that are equivalent to the water pressure acting on %-circle surface AB. 10 ft width 6 ft Problem 2 Determine the resultant force and its location on the dam face (center of pressure) that are equivalent to the water pressure acting on %-circle surface AB. 10 ft width 6 ft
a) The horizontal force(s) (direction and magnitude) acting on the gate per unit width and draw the pressure distribution diagram(s) [6 marks] b) The vertical force(s) acting on the gate per unit width (Include direction and magnitude). [6 marks] c) If the gate is 5 m long (into the page), calculate the magnitude, direction and angle of the resultant hydrostatic force acting on the gate. [7 marks] d) The net horizontal force acting on the dam per unit width. Include...
Dam Wall (7 marks) Fig 6 6. A circular gate AB of diameter 4 m is designed to close the water flowing out from the sloping wall of a dam structure. The gate is hinged at A as in Fig 6. Calculate (a) the magnitude of hydrostatic force acting on the circular gate and (b) the position of hydrostatic force from the water surface. (6 marks) 7. Using the data in Fig 7, (a) find va if vb is 3...
1. The 100 kg weight on hydraulic lift (area = 0.6 m²) shown in figure. At points A, B C and D calculate the pressure. (Ywater=9810 N/m?) Hinge 2. a) Determine the resultant force acting on the inclined circular gate. b) Find the location of center of pressure. c) Calculate the minimum weight of the block that can open the gate. (Assume that gate is weightless) (a=80 cm, water 9810 N/m) 3. The length of submerged gate AB is 5...
Problem 3 A gate, in the shape of a quarter-cylinder with a radius of 2.7 m, is hinged at A and scaled at B, as shown in the figure. The gate is 8 m wide. The bottom of the gate is 5 m below the water surface. Assume the water temperature is 20°C (a) Determine the magnitude and direction of the resultant force on the gate. (b) If the gate is made of a material with a density of 6400...
solve all please Gate AB in the figure below is a quarter circle 3 m wide into the paper and hinged at B. A jet of water with velocity V, is directed radially toward the gate exactly in its middle. The jet diameter is 5 cm and it flows smoothly on the surface of the gate without friction. The gate has a mass of 300 kg. The centroide ofa quarter circle area is located at a dste m from the...
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a. The average pressure on the gate. b. The hydrostatic force F applied to the gate and its components, vertical and horizontal c. Determine the volume of the "missing water" above the gate. What do you fincd interesting about this...
CVE 3303F) /Page 3 of 6 b) A quadrant of a circle sluice gate (as shown in Figure Q2 (b) with radius 1.5 m pivoted as its centre O (G centre of gravity). When the water is level with the pivot O Calculate the magnitude and dircction of the resultant force on the gate, due to the water and the running moment required to open the gate. The width of the gate is 3 m and it has a mass...
The wall separates water and glycerin (p=120 kg/m^3). Consider a unit width of the rectangular panel AB when d=6ft. (a) Using the panel equations, determine F1, the hydraulic force (in lb) acting on the gate due to water? (b) Where is the line of action of F1 relative to point B in feet? (c) Using the panel equation, determine F2, the hydraulic force (in lb) acting on the gate due to glycerine? (d) Where is the line of action of...