Fluid Statics Review.pptx - Department of Civil Engineering
Transcription
Fluid Statics Review.pptx - Department of Civil Engineering
Civil Engineering Hydraulics Mechanics of Fluids Fluid Statics Review Porphyrophobia is the fear of the color purple. Manometer Problem Freshwater and seawater flowing in parallel horizontal pipelines are connected to each other by a double U-tube manometer as shown above. The density of sea water is 1035 kg/m3. What is the ratio of the pressure in the Seawater to the pressure in the Freshwater? 2 Fluid Statics Review Questions Friday, September 14, 2012 1 Surface Pressure The 500 kg load on the hydraulic lift is located as shown above. The fluid in the system is oil with a mass density of 780 kg/m3. Assume both the tube on the right and the cylinder on the left holding the weight have a circular cross section. What is the height h? 3 Fluid Statics Review Questions Friday, September 14, 2012 Surface Pressure The flow of water is controlled by a 5ft wide hinged gate as shown above. It is desired that the gate open when the depth of water is 12 feet. What must the weight W be to keep the gate closed? 4 Fluid Statics Review Questions Friday, September 14, 2012 2 Surface Pressure The gate shown above has a width of 4 m and may be considered to be of negligible weight. What force must be provided by the spring to keep the gate closed? 5 Fluid Statics Review Questions Friday, September 14, 2012 Surface Pressure A cubic ice block is floating in seawater with has a specific gravity of 1.025. The ice block has a specific gravity of 0.92. What is the distance h? 6 Fluid Statics Review Questions Friday, September 14, 2012 3 Homework Problem 7-1 1. A gasoline line is connected to a pressure gage through a double-U tube manometer as shown. If the reading of the pressure gage is 370 kPa, determine the gage pressure of the gasoline line. 7 Fluid Statics Review Questions Friday, September 14, 2012 Homework Problem 7-2 2. A semicircular 30-ft-diameter tunnel is to be built under a 150 ft deep, 800 ft long lake as shown. Determine the total hydrostatic force acting on the roof of the tunnel. 8 Fluid Statics Review Questions Friday, September 14, 2012 4 Homework Problem 7-3 3. The water in a 25-m-deep reservoir is kept inside by a 150-m-wall whose cross section is an equilateral triangle as shown above. Determine the total force (hydrostatic+atmospheric) acting on the inner surface of the wall and its line of action and determine the horizontal component of the force. 9 Fluid Statics Review Questions Friday, September 14, 2012 5