Механика материалов - Зозуля В.В.
ISBN 966-610-055-Х
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5.5 Permissible stress. Strength analysis using permissible stress 72
5.6 Taking into account of a bar weight............................... 74
5.7 Bar of equal resistance........................................... 76
5.8 Stepped bar 78
399
Chapter 6. Theory of stress-strain
state........................................ 80
6.1 Concept of stress at a
point.......................................... 80
6.2 Reciprocity of shearing
stress........................................ 82
6.3 Principal directions and principal
stress............................. 83
6.4 Axial stress
state.................................................... 83
6.5 Plane stress
state.................................................... 84
6.6 Mohr's stress
circle.................................................. 86
6.7 General stress
state.................................................. 88
6.8 Strain
state.......................................................... 92
6.9 Generalized Hooke's
law............................................... 96
6.10 Strain
energy........................................................ 97
Chapter 7. Criterions of
strength............................................... 98
7.1 Aim of strength
criterions............................................ 98
7.2 Criterion of the maximal normal stress...............................
100
7.3 Criterion of the maximal deformation.................................
101
7.4 Criterion of the maximal shearing stress.............................
101
7.5 Criterion of a density of strain energy of shape change 102
7.6 Mohr's strength criterion............................................
105
Chapter 8. Flexure 108
8.1 Deformations under flexure and main hypothesis.......................
108
8.2 Definition of stress under pure bending..............................
110
8.3 Rational shape of a cross section....................................
115
8.4 Definition of strength using normal stress...........................
115
8.5 Shearing stress in a bending beam....................................
117
8.6 Shearing stress distribution along a cross section of beam 120
8.7 Definition of strength using shearing stress.........................
123
8.8 Analysis of stress state of beam. Definition of strength using
principal stress.........................................................
123
8.9 Trajectories of principal stress.....................................
126
Chapter 9. Definition of beam
deformation...................................... 128
9.1 Basic concepts.......................................................
128
9.2 Differential equations of an elastic curve of beam...................
129
9.3 Definition of beam deflection by integration of differential
equations of a elastic curve of beam.....................................
131
9.4 Method of initial parameters.........................................
134
Chapter 10. Additional problems in deflection
theory........................... 139
10.1 Deflection of a thin-walled beam....................................
139
10.2 Methods of structures strength definition...........................
144
Chapter 11. Design of a beam with variable cross
section....................... 150
11.1 Local change of shape and extent....................................
151
11.2 Stepped beam........................................................
151
11.3 Beam, which equally resists to bending..............................
152
Chapter 12.
Shear.............................................................. 156
12.1 Concept of cut and shear. Deformation of shear.....................
156
400
12.2 Stress under shear. Hooke's law................................. 157
12.3 Strength definition under shear................................. 163
12.4 Design of connections under deformation of shear. Calculation
of rivet and weld connections................................... 164
Chapter 13.
Torsion........................................................ 174
13.1 Introduction.................................................... 174
13.2 Torsion of a circular shaft..................................... 174
13.3 Calculation of a cylindrical spring............................. 182
13.4 Membrane analogy in torsion..................................... 186
13.5 Torsion of noncircular members.................................. 187
13.6 Torsion of a thin-walled shaft.................................. 188
13.7 Closed cross sections........................................... 189
13.8 Opened cross sections........................................... 192
Chapter 14. General methods of deformation
calculation..................... 194
14.1 Work of external forces......................................... 194
14.2 Work of internal forces......................................... 196
14.3 Possible work of external and internal forces. General Mohr's
