Seely F.B. Analytical Mechanics for Engineers
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B
^
132
3^3
GIFT
OF
Charles !.!.
Titus
UNIVERSITY
FARM
ANALYTICAL
MECHANICS
FOR ENGINEERS
BY
FRED
B.
SEELY,
M.S.
Professor
of
Theoretical
and
Applied
Mechanics
AND
NEWTON
E.
ENSIGN,
A.B.,
B.S.
Assistant
Professor of
Theoretical
and
Applied
Mechanics
University of
Illinois
TOTAL
ISSUE,
TEN
THOUSAND
NEW
YORK
JOHN
WILEY
&
SONS,
INC
LONDON:
CHAPMAN
&
HALL,
LIMITED
1921
UNIVERSITY OF
CALIFORNIA
LIBRARY
BRANCH
OF
THE
COLLEGE OF
AGRICULTURE
Copyright,
1921,
By
FRED
B.
SEELY
and
NEWTON
E.
ENSIGN
PRESS Of
BRAUNWORTH
& CO.
5/23
BOOK
MANUFACTURERS
BROOKLYN,
N.
Y,
PREFACE
THIS
book,
as
its
name
suggests,
presents
those
principles
of mechanics
that are believed
to be
essential
for the student
of
engineering.
Throughout
the book the
aim
has been
to
make
the
principles
of mechanics
stand
out
clearly
;
to
build them
up
as much
as
pos-
sible
from
common
experience
(the
student's
experience);
to
apply
the
principles
to concrete
problems
of
practical
value;
and to
emphasize
the
physical
rather
than
the
mathematical
interpretation
of the
principles.
Important
equations
are
printed
in bold-faced
type
and the
statements
of
the
more
important
principles
are
italicized.
The book
is divided
into three
parts;
namely,
Statics,
Kine-
matics,
and
Kinetics. Statics
is
presented
first because
of
its
simplicity
and its
direct
relation
to
the student's
experience.
However,
in the
first two
chapters
are
developed
certain
concepts
and
elementary
principles
that
are
fully
as
important
in
kinetics
as in
statics,
and the
authors
feel that it
is
essential
to a
satis-
factory grasp
of
mechanics,
as
a
whole,
that sufficient
time
and
care be taken
to cause these
elementary
concepts
and
principles
to
crystallize
in the student's
mind before the more
general
prin-
ciples
and
problems
are
studied.
The
equilibrium
of
the
various
types
of force
systems
are treated
both
by
the
algebraic
and
by
the
graphical
method.
A
large
number of
problems
involving
the
equilibrium
of
the
simpler
structures
and machines are
given,
and
figures
illustrating
the structures
and machines are
used
freely.
Although
kinematics as
herein
developed
is
mainly
a
prelim-
inary
to
kinetics,
the authors'
experience
indicates
that
the
kinematic
properties
of motion
must be isolated and
developed
with
care
if
they
are to be used with success
in the
study
of the
kinetics
of
the motion.
iii
iv
PREFACE
Both
kinematics
and kinetics have been
developed
with
regard
for
the
increasing
importance
of
dynamics
to
engineers.
The
geometric
and
physical
conceptions
and
interpretations
of
the
quantities
in
kinematics have been
emphasized
rather than
the
mathematical
conceptions.
A treatment of
acceleration is
given
which,
it is
hoped,
will
help
to
overcome some
of
the
difficulties
frequently
found
in
the
use of this
quantity.
The
treatment of
kinetics
has been restricted
to the
more
common
types
of
motion
found in
engineering practice,
but these motions have been
treated
more
fully
than
is usual
in
elementary
texts on mechanics. This
is
particularly
true of
plane
motion. D'Alembert's
principle
(involving
inertia
forces)
has been used for
each
type
of motion
as a second method
of
solution.
The
methods of
procedure
used
in
the
analysis
of kinetics
problems
are
strongly emphasized
both
in
the
general
discussions
and
in
the solutions
of
illustrative
problems.
Illustrative
problems
are
given
at the end
of
the
more
important
articles and
many problems
are offered for solution. Great
care
has been exercised
in
selecting problems
that are
of
practical
interest
and
yet
are
easily
comprehended
and are
free
from
unim-
portant
details
so that the
principles
used
in their solution
will
stand
out
clearly.
The answers to about
one-half
of the
problems
are
given.
Graphical
methods
of
representation
and
of solution have
been
used
frequently
in all three
parts
of the
book.
A
knowledge
of
elementary
calculus
is assumed
although
little
use
is made
of it
in
the first
four
chapters.
The
discussion of centroids
(Chapter
V)
is
developed
directly
from
the
principle
of
moments a
principle
given
much
emphasis
throughout
the book.
Several
special
topics
are discussed
in Section
3
of
Chapter
IX.
They may
be
omitted without
interfering
with the
continuity
of
the
book,
or
any
one
of the
topics
may
be studied
alone
without
studying
the whole
section.
Further,
if
it is desired
to
reduce
the
time
given
to
kinetics,
the
second
method
of
analysis
of the
motion
of rotation
or of
plane
motion
(which
employs
D'Alembert's
principle
and inertia
forces)
in
Section
2 of
Chapter
IX
may
be
omitted.
And,
in
general,
the last
part
of
the
material
in
any
section
or
chapter may
be omitted without
interfering
with
the
student's
progress
in the
first
part
of the next
section
or
chapter.