Structural Analysis, Hibbeler, 8th ed Textbook

719 Pages·2011·30.11 MB·English

L
(cid:5)
Table for Evaluating m m dx
L
0
L
mm¿dx
L0
1 1 2
mm¿L 2mm¿L 2m1m1¿ + m2¿2L 3mm¿L
1 1 1 5
2mm¿L 3mm¿L 6m1m1¿ + 2m2¿2L 12mm¿L
1 1 1 1
2m¿1m1 + m22L 6m¿1m1 + 2m22L 63m1¿12m1 + m22 123m¿13m1 + 5m224L
+ m2¿1m1 + 2m224L
1 1 1 1 3a a2
2mm¿L 6mm¿1L + a2 6mm32m1L1¿1L+ +a24b2 + 12mm¿a3 + L - L2bL
1 1 1 1
2mm¿L 6mm¿L 6m12m1¿ + m2¿2L 4mm¿L
Beam Deflections and Slopes
c c
g g
Loading v + u + Equation(cid:4) (cid:4)
PL3 PL2 P
vmax = -3EI umax = -2EI v = 6EI1x3 - 3Lx22
atx = L atx = L
vmax = M2EOLI2 umax = MEOIL v = 2MEOIx2
atx = L atx = L
Beam Deflections and Slopes (continued)
wL4 wL3 w
vmax = -8EI umax = -6EI v = -24EI1x4 - 4Lx3 + 6L2x22
atx = L atx = L
PL3 PL2 P
vmax = -48EI umax = (cid:5)16EI v = 48EI14x3 - 3L2x2,
atx = L>2 atx = 0 or x = L 0…x…L>2
Pab1L + b2 Pbx
uL = - 6LEI v = -6LEI1L2 - b2 - x22
Pab1L + a2
u = 0…x…a
6LEI
5wL4 wL3 wx
vmax = -384EI umax = (cid:5)24EI v = -24EI1x3 - 2Lx2 + L32
L
atx =
2
wx
v = - 116x3 - 24Lx2 + 9L32
384EI
3wL3
uL = -128EI 0 … x … L>2
7wL3 wL
uR = 384EI v = -384EI18x3 - 24Lx2 + 17L2x - L32
L>2 … x … L
u = -MOL
L 6EI
vmax = -9M2O3LE2I u = MOL v = -6MEOIxL1L2 - x22
R 3EI
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
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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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PREFACE
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 AppendixB that discusses some of the common features used for
running current structural analysis computer software.