Механика материалов - Зозуля В.В.
ISBN 966-610-055-Х
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formulae for deformation definition.................................. 199
14.4 Definition of deformation in a truss............................ 201
14.5 Definition of deformations in a beam and a rigid frame. Ve-
reschaguin's method.................................................. 202
14.6 Definition of deformations under temperature loading. 207
14.7 Theorems of reciprocity......................................... 209
14.8 Castigliano's theorem........................................... 210
Chapter 15. Statically indeterminate
systems............................... 213
15.1 Concept of a rate of statically indetermination................. 213
15.2 Calculation of statically indeterminate systems by force method 215
15.3 Definition of coefficients and free members of canonical
equations............................................................ 218
15.4 Design of a final diagram for internal forces................... 220
15.5 Verification of statically indeterminate system calculation by force
method......................................................... 223
15.6 Definition of deformation in statically indeterminate systems 224
15.7 Method of canonical equations simplification.................... 226
15.8 Calculation of statically indeterminate systems, which members are
under tension or compression................................ 228
15.9 Definition of initial stress by force method.................... 230
15.10 Procedure of statically indeterminate system calculation
by force method................................................. 232
Chapter 16. Design of statically indeterminate
beams........................233
16.1 Choice of a rational main system................................ 233
16.2 Equation of three moments....................................... 234
16.3 Methods of final diagrams creation for bending moment and transverse
loading................................................... 238
401
16.4 Procedure of a statically indeterminate beam calculation 241
Chapter 17. Design plane a curved
beam...................................... 244
17.1 Concept of a curved beam.........................................
244
17.2 Pure bending of a plane curved beam..............................
245
17.3 Strength design of a curved beam.................................
247
17.4 Definition of a neutral layer's curvature radius.................
249
17.5 Definition of deformation of a plane curved beam.................
251
Chapter 18. Combined
loading................................................ 253
18.1 Space deflection.................................................
253
18.2 Unsymmetrical bending............................................
255
18.3 Stress definition under unsymmetrical bending....................
257
18.4 Bending with tension.............................................
259
18.4 Bending with tension.............................................
260
18.6 Kernel of cross section..........................................
263
18.7 Bending with torsion.............................................
266
Chapter 19. Stability of a compressed
column................................ 270
19.1 Concept of stability of linear form of compressed column and
critical loading..................................................... 271
19.2 Euler's formula for critical force...............................
273
19.3 Influence of end conditions on critical loading..................
276
19.4 Limits of Euler's formula........................................
280
19.5 Diagram for critical loading versus slenderness ratio. Yasin-sky's
formula........................................................ 282
19.6 Calculation of a compressed column using ratio of permissible
stress. Calculation and design of columns............................ 283
19.7 Choice of column material and optimal form of a cross section 285
19.8 Eccentric loads..................................................
285
19.9 Approximate calculation in case of eccentric loads...............
289
19.10 Definition of permissible load in case of eccentric loads 292
Chapter 20. Resistance to failure under repeated
loading.................... 293
20.1 Concept of fatigue...............................................
293
20.2 Main characteristics of cycle....................................
295
20.3 Limit of resistance to failure and its definition................
298
20.3 Limit of resistance to failure and its definition................
302
20.5 Influence of stress concentration on resistance to failure 304
20.6 Influence of surface polishing on resistance to failure..........
305
20.7 Influence of scale factor on resistance to failure...............
306
20.8 Design of resistance to failure..................................
307
Chapter 21. Calculation of a thin
shell..................................... 311
21.1 Stress-strain state of a shell...................................
