Hall A.S., Archer F.E., Gilbert R.I. Engineering Statics
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~ublis~~~
by
University
of
New South Wales Press Ltd
~niv~rsity of New South Wales
Sydney 2052 Australia
0
AS Mall, FE Archer
&
RI Gilbert
First published
1977
Revised and reprinted 1981
Revised
1985
Second edition
1999
This book is copyright. Apart from any fair dealing for the
purpose of private study, research, critici~~ or review, as
permitte~ under the Copyright Act, no part may be r~produced
by any process without written ~e~ission. Inquiries should be
addr~ssed to the publisher.
Nation~l Library of Australia
Catalo~uing-in-~ublicatjon
entry:
Hall,
AS
(Arthur Stanl~y), 1916-
.
ngi~~ering statics.
2nd ed.
ISBN
0
86840 425
X.
1.
Statics.
I.
Archer FE (Frederick Ernest),
191
3”
II.
Gilbert, RI (~aymond Ian).
Ill.
Title.
620.1 063
Designed and formatted by DiZign
Printed by South China Printing, Hong Kong
Scope
Forces
Body
Newton's Laws of Motion
Mass and weight
Resultant
7
Resultant of
two
forces
7
Components of a force
8
Resu~tant
of
concurrent forces 10
13
~~uilibrium
onditions of e~uilibrium
odies, actions and reactions
Friction
'briurn
of three forces
Moments
Resultant of non-concurrent forces
Parallel forces: Couples
Distributed forces
Statically equivalent systems
19
19
23
24
29
30
39
40
43
46
50
53
Types
of
supports
for
structures
Planar structures in equili~rium
and freebody diagrams
Internal action at a cross-section
Sign ~on~entions
Beams with distributed loading
ariat ti on
ofA,F,,
§.F,
and
~~uilib~ium
of
a small
beam
element
out shear force and bending moment
onditions
of
e~uilibrium
Beams with one internal
hinge
Further examples
61
62
63
66
G7
77
84
89
91
99
102
104
108
109
CoNTENTS
vii
Esternal reactions
Freebodies
~ui~ibriu~ of ~e~bers
~uilibriu~
of
joints
Use
of
components of bar forces
Method of Sections
Parallel chorded trusses
E~uivalent
joint
loads
Trusses
with
non-strai
sultant
of-
~~~cu~re~t forces
159
159
160
160
164
166
171
173
175
179
183
189
190
190
~quilibrium
Conditions of equilibr~um
Further discussion
Moment
of
a
force
Couples
Resultant of
two
couples
~omponents of a couple
~esu~tant of
a
number of couples
The concept
of
a
resultant
Statically equivalent systems
t
of
a
force about any axis
Conditions of e~uilibrium
-
Centroids
Second Moment of Area
-
Product Moment of Area
Resultant force
~eter~i~ation
of
yk
~e~er~ination
of
Ix.
~etermination
of
xil
~etermination of
Ix*
,,,
Load varying in the
x
direction
of
axes
-
Parallel axis theorems
EEect
of
axis
change
on
I,.
Effect of axis change on
Ix.,.
~otation
of
axes
-
Principal axes
215
215
222
222
227
230
23
I
232
233
234
235
238
24
l
249
253
26
I
266
267
267
268
269
269
270
27
1
27
1
274
276
As
in the previous editions, this book deals with the fundamentals of
st~~~cs
and their
application to
a
broad range
of
engineering problems. The treatment is intended
primarily for undergraduate students of civil, structural and environmental en
but we hope that it will also be of use to anyone with an interest in engineering
mechanics.
The present edition. contains a substantial revision
of
much
of
the text of the previous
work
md
several additions to it. We have removed much
of
the material related to
graphical methods
of
solution, which is now dated and less relevant. Rut in doing
so,
we
have tried to ensure that students can still gain
a
physical
understand in^
of the solution
to particular problems,
as
well
as
an analytical one,
A
new chapter on fluid statics (Chapter
14)
deals with the forces exerted on
submerged bodies,
as
well as with buoyancy and the stability
of
floating bodies. The
chapter on flexible cables (Chapter
9)
contains what is believed to be a new ~~proach to
the analysis
of
the
catenary
which allows for the direct solution
of
many cable problems
that have conventionally been solved using trial and error methods. The Appendix has
been added, dealing with the geometrical properties
of
plane figures. These properties
have been described and developed by considering some statics problems involving
parallel forces acting normal to a plane figure. This approach
is
directly applicable to
problems in fluid statics and to beam theory that may be studied in subsequent courses.
However, the equations are also of general application.
Additional tutorial problems have been added at the end of most chapters.
AS
Hall
FE
Archer
RI
Gilbert