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Fluid Statics: Hydrostatic Pressure and Pressure Distribution, Study Guides, Projects, Research of Statics

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.

Typology: Study Guides, Projects, Research

2021/2022

Uploaded on 08/01/2022

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FLUID STATICS
Learning Objectives
1). To evaluate the hydrostatic pressure loading acting on
a body that is immersed in a liquid.
2). To determine the resultant of a given line, pressure, or
body load on a submerged body and to evaluate the
reaction acting on the body that carries such a load.
3). To do an engineering estimate of the equivalent loading.
Assumptions
1). The liquid is incompressible, (i.e., = constant).
2). The hydrostatic pressure loading always acts normal to
any submerged surface, regardless of orientation.
3). The hydrostatic (gage) pressure at a point in a liquid is
proportional to the depth hbelow the free surface.
Hydrostatic Pressure Distribution
p = hydrostatic (gage) pressure (pgage = pabs patm)
= density of the liquid
g = acceleration of gravity
h = height below the free surface of the liquid
p = ρgh
pf3
pf4
pf5
pf8
pf9
pfa
pfd

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FLUID STATICS

Learning Objectives

1). To evaluate the hydrostatic pressure loading acting on

a body that is immersed in a liquid.

2). To determine the resultant of a given line, pressure , or

body load on a submerged body and to evaluate the

reaction acting on the body that carries such a load.

3). To do an engineering estimate of the equivalent loading.

Assumptions

1). The liquid is incompressible , (i.e., = constant).

2). The hydrostatic pressure loading always acts normal to

any submerged surface, regardless of orientation.

3). The hydrostatic (gage) pressure at a point in a liquid is

proportional to the depth “h” below the free surface.

Hydrostatic Pressure Distribution

p = hydrostatic (gage) pressure (p gage = p abs – patm)

= density of the liquid

g = acceleration of gravity

h = height below the free surface of the liquid

p = ρgh

Fluid Statics – Flat Surfaces

Example 1

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 ).

Fluid Statics – Flat Surfaces

Example 2

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.

Fluid Statics, Buoyancy Forces

Group Quiz 1

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: