Statics:The Next Generation
Mehta &
Danielson
Lecture Notes for Section 9.1-9.2
1
SJTU
上
海
交
通
大
学
Introduction to Solid Mechanics -Vm211
Chapter 6 Geometric Properties and Distributed Loadings
Chapter 6
Geometric Properties
and
Distributed Loadings
SJTU
上
海
交
通
大
学
Introduction to Solid Mechanics -Vm211
CENTER OF GRAVITY AND CENTROID
Objective
:
a)
Understand the concepts
of center of
gravity, center of mass, and centroid.
b)
Be able to determine the location
of
these points for a system of particles
or a body.
SJTU
上
海
交
通
大
学
Introduction to Solid Mechanics -Vm211
APPLICATIONS
To design the structure
for
supporting a water tank, we will
need to know the weights of the
tank and water as well as the
locations where the resultant
forces representing these
distributed loads are acting.
How can we determine these
weights and their locations?
SJTU
上
海
交
通
大
学
Introduction to Solid Mechanics -Vm211
One concern about a sport
utility vehicle (SUVs) is that
it might tip over while taking
a sharp turn.
One of the important factors
in determining its stability is
the SUV’s center of mass
.
APPLICATIONS
SJTU
上
海
交
通
大
学
Introduction to Solid Mechanics -Vm211
Should it be higher or lower
for making a SUV more stable?
How do you determine
its location?
APPLICATIONS
SJTU
上
海
交
通
大
学
Introduction to Solid Mechanics -Vm211
CONCEPT OF
CG
CG
and
CM
CM
The center of gravity (G)
is a point
which locates the resultant weight of
a system of particles or
body.
From the definition of a resultant force, the sum of moments due to
individual particle weight
about any point
is the same as the
moment due to the resultant weight located at G.
For the figure
above, try taking moments about A and B.
•
•
•
3m
4N
1m
A
B
1 N
3 N
G

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*