Hibbeler R.C. Structural Analysis
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1
4
mm¿L
1
6
m12m¿
1
+ m¿
2
2L
1
6
mm¿L
1
2
mm¿L
m
2
1L + a24
1
12
mm¿ a3 +
3a
L
-
a
2
L
2
bL
1
6
m3m¿
1
1L + b2+
1
6
mm¿1L + a2
1
2
mm¿L
+ m¿
2
1m
1
+ 2m
2
24L
1
12
3m¿13m
1
+ 5m
2
24L
1
6
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1
12m
1
+ m
2
2
1
6
m¿1m
1
+ 2m
2
2L
1
2
m¿1m
1
+ m
2
2L
5
12
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1
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1
+ 2m¿
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1
3
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1
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2
3
mm¿L
1
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m1m¿
1
+ m¿
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mm¿Lmm¿L
L
L
0
mm¿ dx
Table for Evaluating
m m
ⴕ
dx
L
L
0
Beam Deflections and Slopes
Loading Equation ⫹⫹
at x = Lat x = L
v =
M
O
2EI
x
2
u
max
=
M
O
L
EI
v
max
=
M
O
L
2
2EI
at x = Lat x = L
v =
P
6EI
1x
3
- 3Lx
2
2u
max
=-
PL
2
2EI
v
max
=-
PL
3
3EI
g
c
gu +
c
v +
Beam Deflections and Slopes (continued)
v =-
M
O
x
6EIL
1L
2
- x
2
2
u
R
=
M
O
L
3EI
v
max
=-
M
O
L
2
923EI
u
L
=-
M
O
L
6EI
L>2 … x … L
v =-
wL
384EI
18x
3
- 24Lx
2
+ 17L
2
x - L
3
2u
R
=
7wL
3
384EI
0 … x … L>2u
L
=-
3wL
3
128EI
v =-
wx
384EI
116x
3
- 24Lx
2
+ 9L
3
2
at x =
L
2
v =-
wx
24EI
1x
3
- 2Lx
2
+ L
3
2u
max
= ⫾
wL
3
24EI
v
max
=-
5wL
4
384EI
0 … x … au =
Pab1L + a2
6LEI
v =-
Pbx
6LEI
1L
2
- b
2
- x
2
2u
L
=-
Pab1L + b2
6LEI
0 … x … L>2at x = 0 or x = Lat x = L>2
v =
P
48EI
14x
3
- 3L
2
x2,u
max
= ⫾
PL
2
16EI
v
max
=-
PL
3
48EI
at x = Lat x = L
v =-
w
24EI
1x
4
- 4Lx
3
+ 6L
2
x
2
2u
max
=-
wL
3
6EI
v
max
=-
wL
4
8EI
STRUCTURAL
ANALYSIS
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STRUCTURAL
ANALYSIS
EIGHTH EDITION
R. C. HIBBELER
PRENTICE HALL
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© 2012 by R. C. Hibbeler
Published by Pearson Prentice Hall
Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved. No part of this book may be reproduced, in any form or by any means, without permission in
writing from the publisher.
Pearson Prentice Hall™ is a trademark of Pearson Education, Inc.
The author and publisher of this book have used their best efforts in preparing this book. These efforts include the
development, research, and testing of the theories and programs to determine their effectiveness. The author and
publisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation
contained in this book. The author and publisher shall not be liable in any event for incidental or consequential
damages in connection with, or arising out of, the furnishing, performance, or use of these programs.
Previous editions copyright © 2009, 2006, 2002, 1999, 1995, 1990, 1985 by R. C. Hibbeler.
Pearson Education Ltd., London
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10 9 8 7 6 5 4 3 2 1
ISBN-10: 0-13-257053-X
ISBN-13: 978-0-13-257053-4
To The Student
With the hope that this work will stimulate
an interest in Structural Analysis
and provide an acceptable guide to its understanding.
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This book is intended to provide the student with a clear and thorough
presentation of the theory and application of structural analysis as it
applies to trusses, beams, and frames. Emphasis is placed on developing
the student’s ability to both model and analyze a structure and to
provide realistic applications encountered in professional practice.
For many years now, engineers have been using matrix methods to
analyze structures. Although these methods are most efficient for a
structural analysis, it is the author’s opinion that students taking a first
course in this subject should also be well versed in some of the more
important classicial methods. Practice in applying these methods will
develop a deeper understanding of the basic engineering sciences of
statics and mechanics of materials. Also, problem-solving skills are
further developed when the various techniques are thought out and
applied in a clear and orderly way. By solving problems in this way one
can better grasp the way loads are transmitted through a structure and
obtain a more complete understanding of the way the structure deforms
under load. Finally, the classicial methods provide a means of checking
computer results rather than simply relying on the generated output.
New to This Edition
• Fundamental Problems. These problem sets are selectively
located just after the example problems. They offer students simple
applications of the concepts and, therefore, provide them with the
chance to develop their problem-solving skills before attempting to
solve any of the standard problems that follow. You may consider
these problems as extended examples since they all have solutions and
answers that are given in the back of the book. Additionally, the
fundamental problems offer students an excellent means of studying
for exams, and they can be used at a later time to prepare for the exam
necessary to obtain a professional engineering license.
• Content Revision. Each section of the text was carefully reviewed
to enhance clarity. This has included incorporating the new ASCE/
SEI 07-10 standards on loading in Chapter 1, an improved explanation
of how to draw shear and moment diagrams and the deflection curve
of a structure, consolidating the material on structures having a
variable moment of inertia, providing further discussion for analyzing
structures having internal hinges using matrix analysis, and adding a
new Appendix B that discusses some of the common features used for
running current structural analysis computer software.
PREFACE