Abdul Kader Baba- Managing Cybersecurity Risks and Compliance Requirements i...
6161103 9.7 chapter summary and review
1. Chapter Summary
Center of Gravity and Centroid
Center of gravity represents a point where the
weight of the body can be considered
concentrated
The distance to this point can be determined by
a balance of moments
Moment of weight of all the particles of the body
about some point = moment of the entire body
about the point
Centroid is the location of the geometric center
of the body
2. Chapter Summary
Center of Gravity and Centroid
Centroid is determined by the moment balance
of geometric elements such as line, area and
volume segments
For body having a continuous shape, moments
are summed using differential elements
For composite of several shapes, each having a
known location for centroid, the location is
determined from discrete summation using its
composite parts
3. Chapter Summary
Theorems of Pappus and Guldinus
Used to determine surface area and volume of a
body of revolution
Surface area = product of length of the
generating curve and distance traveled by the
centroid of the curve to generate the area
Volume = product of the generating area and
the distance traveled by the centroid to generate
the volume
4. Chapter Summary
Fluid Pressure
Pressure developed by a fluid at a point on a
submerged surface depends on the depth of the
point and the density of the liquid according to
Pascal’s law
Pressure will create a linear distribution of
loading on a flat vertical or inclined surface
For horizontal surface, loading is uniform
Resultants determined by volume or area under
the loading curve