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Learning objectives, assumptions, and formulas for evaluating hydrostatic pressure loading on submerged bodies. It includes examples and quiz questions on pressure distribution for flat surfaces and buoyancy forces. Students will learn to determine the resultant force and tension in cables for given scenarios.
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Given: The lower edge of gate AB in the triangular trough is supported by a series of pins. The upper edge is supported by 20 equally spaced cables along the 40 ft length of the trough.
Find:
a) Make a sketch of the pressure distribution on gate AB.
b) Determine the magnitude and location of an equivalent force for the hydrostatic load of the water.
c) Determine the tension in a cable when the trough is filled to the top with water (assume the specific weight of the water is given by ρg = 62.4 lbs/ft 3 ).
Given: The horizontal width of the gate at the bottom of the retaining wall is 6 ft. Assume the fluid is water with a specific weight given by ρg = 62.4 lbs/ft 3.
Find:
a) Sketch the pressure distribution that is exerted on the gate by the water.
b) Determine a single force equivalent and its location on the gate.
Group #: ____________ Group Members: 1) ______________________________ (Present Only) Date: ______________ Period: _________ 2) ______________________________
Given: The dam shown has a pin support at A, a roller support at B and a water depth of 4 ft on one side. The width of the dam (the dimension into the page) is 8 ft. The specific weight (ρg) of the water is 62.4 lb/ft 3. Find: a) Draw a sketch of the dam showing a side view of the pressure distributed across all three surfaces. b) Calculate a single force equivalent for each of the three surfaces and draw a sketch showing the location of each of the equivalent forces. c) Neglecting the weight of the dam, what are the reactions at A and B? Solution: