Problem 1. Neglecting the weight of the hinged gate, determine the depth h at which the gate shown below will open. The gate width is 5 m. (Ans: √√3) h Hinge 1 m
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- Determine the volume of the concrete arch dam.) A gate with 2 m width is located under the water as shown in Figure Q1c. IF the force(F) required to hold the gate is about 20 kN, determine the distance (d) of this force tothe hinge?Q1: Gate AB which is shown in figure (1) is (15m) long and (10m) wide and hinged at B with a stop at A. Neglecting the weight of gate. Compute the water level h for which the gate will start fall. Figure (1) 15m R Jooo KN B Water h B
- A trough whose cross section is a trapezoid is b = 8 m across at the bottom, a = 12 m across at the top, and 4 m deep. If the trough is filled to 1 m with water, what is the force due to water pressure on one end of the trough? F a C (Hint: Using SI units, pg = 9800 N/m³.) (Use decimal notation. Give your answer to two decimal places.) Incorrect b 55533.33 NThe right oneFind the force applied by support BC to the gate AB. The width of the gate and support is 3 m and the weight of the gate is 1500 N.
- 4. Given: Curb shown below Find: (1) Surface area and (2) volume 100 mm 150 mm 4 m 30° 150 mm 150 mmPlease solve it quicklydepth of water on the upstream and downstream sides of the lock are 6 m and 4 m respectively. Find: is 10 m. Each gate is supported by two hinges located at I m and 5 m above the bottom of the lock. The 24. The end gates ABC of a lock are 8 m high and when closed make an angle of 120°. The width of lat gate, and (i) magnitude of the hinge reactions. [Ans. () 79.279 kN, () Ry=27.924 kN, R,= 51.3SAN sides of the gates are 4 m and 3 m respectively, determine : (i) the magnitude of resultant pressure on cat gates are closed, they make an angle of 120°. The width of the lock is 4 m. If the depths of water on the rwe 4m as shown in Fig. 3.60. Consider width of the gate unity. () Resultant water force on cach gate. 21. Find the horizontal and vertical components of the water pressure exerted on a tainter gate of [Ans. F,= 19.62 kN, F, =710244N] 22. Find the magnitude and direction of the resultant water pressure acting on a curved face of a dam which is shaped WATER SURFACE according to the…
- Ocean Marsh d = 9 ft 5.79 A freshwater marsh is drained to the ocean through an automatic tide gate that is 4 ft wide and 3 ft high. The gate is ħeld by hinges located along its top edge at A and bears on a sill at B. At a given time, the water levels in the marsh and in the ocean are h = 6 ft and d = 9 ft, respectively. Determine the force exerted by the sill on the gate at B and the hinge reaction at A. (Specific weight of salt water = 64 lb/ft³.) h =6 ft 3 ft B Fig. P5.79Problem 1. The gauge pressure of the air in the tank shown in the figure below is meası red to be 65 kPa (fluids’ densities as follows: PH20 = 1000 Kg , Poil = 742 Kg/m³, Phg = 13650 Kg/m³). Determine the differential height а) h of the mercury column Oil 65 kPa Determine the resultant force per b) unit depth acting on the quarter of circumference (radius R=15 cm) at the left bottom corner of the tank. 75 cm Air Water |30 сm h - Mercury H%3D75 cmFind the magnitude and depth of the point of application of the force on circular gate shown in figure if h=5 ft and D=4 ft dia. Water Circular gate 60 dia D