CONTENTS
PREFACE
V
CHAPTER (1) : DEFLECTIONS
1. INTRODUCTION
2. DEFINITIONS
3. THE DIFFERENTIAL EQUATION OF THE
ELASTIC LINE
4. THE DOUBLE INTEGRATION METHOD
5. MOMENT- AREA METHOD
5.1 First moment – area theorem
5.2 Second Moment – area Theorem
6. ELASTIC – LOAD METHOD
7. THE CONJUGATE BEAM METHOD
8. THEORY OF REAL WORK
9. METHOD OF VIRTUAL WORK
10. EVALUATION OF INTEGRAL M 0 M 1dx

11. DEFLECTION OF TRUSSES
12. CASTIGLIANO' S SECOND THEOREM
13. MAXWELL'S
LAW
OF
RECIPROCAL
DEFLECTIONS; BETTI' S LAW
14. INFLUENCE LINE FOR DEFLECTION
PROBLEMS
1
3
3
7
20
21
23
28
38
51
61
66
84
89
93
95
97
Chapter (2) STATICALLY INDETERMINATE STUCTURES
1.
2.
3.
4.
INTRODUCTION
FORCE METHODS ( flexibility Approach)
DISPLACEMENT METHODS (stiffness approach )
DEGREE OF STATIC INDETERMINACY
4.1 Degree of Indeterminacy For Beams (Line
Structures) (Degree Of Redundancy)
4.2 Degree of Indeterminacy for Plane Frames
4.3 Degree of Indeterminacy of Plane Trussed
5. DEGREE OF INDETERMINACY FOR SPACE
STRUCTURES
5.1 Degree of Indeterminacy For Space Frame
103
105
106
107
107
109
111
114
114
Contents
6.
7.
8.
9.
10.
5.2 Degree of Indeterminacy for Grids
5.3 Degree of Indeterminacy of Space Trusses
PRINCIPLE OF SUPERPOSITION
EQUATIONS OF EQUILIBRIUM
FREE–BODY DIAGRAM
ADVANTAGES OF STATICALLY
INDETERMINATE STRUCTURES
DISADVANTAGES OF STATICALLY
INDETERMINATE STRUCTURES
ii
115
116
117
118
119
120
120
CHAPTER (3) : METHOD OF CONSISTENT
DEFORMATIONS
1. INTRODUCTION
2. ONCE STATICALLY INDETERMINATE
STRUCTURES
3. TWICE STATICALLY INDETERMINATE
STRUCTURES
4. 3-TIME STATICALLY INDETERMINATE
5. CASE OF n- STATICALLY IN DETERMINATE
STRUCTURES
6. SETTLEMENT OF SUPPORTS
7. CHANGES OF TEMPERATURE
8. BEAM ON ELASTIC SUPPORTS
9. FORCED DEFORMATIONS
10. TRUSSED BEAM AND TRUSSED FRAME
11. DEFLECTION OF STATICALLY
INDETERMINATE STRUCTURES (REDUCTION
THEORY)
12. ANALYSIS OF STATICALLY INDETERMINATE
TRUSSES
13. DEFLECTION OF INDETERMINATE TRUSSES
14. GENERAL REMARKS CONCERNING
SELECTION OF REDUNDANTS
15. CHOICE OF MAIN SYSTEM IN CASE OF
SYMMETRY AND ANTISYMMETRY
16. ANALYSIS OF STATICALLY INDETERMINATE
STRUCTURES USING CASTIGLIANO SECOND
THEOREM; THEOREM OF LEAST WORK
17. TORSION OF FIXED BEAM
PROBLEMS
REFERENCES
121
122
133
138
144
148
149
156
171
189
197
210
214
220
222
225
230
233