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| Авторизация |
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| Popov E.P. — Engineering Mechanics of Solids |
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| Предметный указатель |
Limit analysis and design 708
Line of zero stress or strain 326
Load and resistance factor design (LRFD) 45 608
Load factor 35
Loads, concentrated 87
Loads, dead 45
Loads, distributed 227
Loads, factored 45
Loads, impact 96 199
Loads, live 45
Localized stress see "Factors of stress-concentration"
Longitudinal stress in cylinder 154
Lower bound solutions 716
Luders lines 20
Lumber, sizes, properties for designing A-13
Margin of safety 35
Materials, anisotropic 66 147
Materials, brittle 65
Materials, ductile 65 67
Materials, homogeneous 67
Materials, isotropic 146
Materials, mechanical properties A-2 A-3
Materials, orthotropic 147
Matrix structural analysis 36 657 661 703
Maximum distortion energy theory 444
Maximum normal stress theory 449
Maximum shear stress theory 442
Maxwell's theorem of reciprocal displacements 691
Members of composite materials 288 301
Membrane, analogy for torsion 209
Method of sections for axially loaded members 14 16
Method of sections for beams 234
Method of sections for torsion members 175
Method of sections, definition of 3
Middle-third rule 329
Mises' yield condition 448
Modulus of elasticity 66
Modulus of resilience 93
Modulus of rigidity 141
Modulus of rupture in bending 314
Modulus of rupture in torsion 204
Modulus, bulk 152
Modulus, shear 141
Modulus, tangent 70
Mohr's circle for strain 435
Mohr's circle for stress 414 417 426
moment see "Bending moment"
Moment diagrams for beams 240 252
Moment of inertia of areas, definition 285 289
Moment of inertia of areas, parallel-axis theorem for 291 340
Moment of inertia of areas, polar 179
Moment of inertia of areas, principal axes for 341
Moment of inertia of areas, table of A-4
Moment of inertia of areas, table of, through A-12
Moment-area method for indeterminate beams 551
Moment-area method, general 537
Moment-area method, theorems 538
Moment-curvature relation for beams 499
Moving bodies, forces caused by 90 199 531
Natural strain 61
Necking 65
Neutral axis 284
Neutral surface 284
Normal stress in axially loaded members 14 17
Normal stress in bending 286 336
Normal stress, combined with shear stress 403
Normal stress, definition of 5
Octohedral shear stress theory 448
Parallel-axis theorem 291 340
Photoelastic method of stress analysis 469
Pipe, standard steel A-11
Plane strain 149
Plane stress 149 467
Plastic hinge 710
Plastic limit analysis of beams 315 534
Plastic limit analysis of continuous beams and frames 721
Plastic limit analysis of torsional members 206
Plastic limit analysis, collapse mechanisms in 711
Plastic moment 315 535 710
Point of inflection 262
Poisson's ratio 82
Polar moment of inertia 179
Potential, total 674
Pressure vessels, thin-walled 152
Primary system 101 688 696
Principal axes of inertia 319 341
Principal shear stress 410
Principal strain 436
Principal stress 409 424
Principal stress circles 428
Probabilistic basis for structural design 38
Properties, for designing, of angles A-9 A-10
Properties, for designing, of channels (C) A-8
Properties, for designing, of pipe, standard A-11
Properties, for designing, of standard (S) steel beams A-5
Properties, for designing, plastic section modulii for wide-flange steel beams A-11
Properties, of rectangular lumber A-12
Properties, of wide-flange (WF) steel beams A-6
Proportional limit 66
Radius of curvature 282 499
Radius of gyration 590
Ramberg — Osgood formula 69
Reactions, calculation of 230 514 687
Reciprocity of flexibility coefficients 690
Redundant reactions 23 551 672
Reinforced concrete beams 304 318
Relation among E, G, and  150
Relation between curvature and bending moment 285 336 501
Relation between shear and bending moment 250
Relaxation 71
Repeated loading 32
Residual stress 19 205 316
Resilience, modulus of 93
Restrained beams 551
Rigidity, flexural 509
Rigidity, modulus of 141
Rosettes, strain 438
Rupture, modulus of 204 314
S-N diagrams 32
Safety index 44
Sandheap analogy for torsion 210
Secant formula for columns 592
Section modulus, elastic 294
Section modulus, plastic 315
Section modulus, tables A-5—A-12
Shaft coupling 201
Shape factor 709
Shear center 382
Shear deflection of beams 531
Shear diagrams see "Shear forces in beams"
Shear flow 361
Shear forces in beams, definition of 236
Shear forces in beams, diagrams by integration of load 250
Shear forces in beams, diagrams for 240
Shear forces in beams, sign convention for 237
Shear modulus of elasticity 141
Shear strain 140 144
Shear stress in beam flanges 380
Shear stress in beams 357 367
Shear stress in circular shafts 179
Shear stress in non-circular shafts 207
Shear stress in rivets and bolts 21 48
Shear stress in thin-walled tubular members 213
Shear stress on perpendicular planes 9 16 369 410
Shear stress, definition of 6
Shear stress, due to axial force 14 20
Shear stress, maximum 410
Shear stress, principal 410
Shear stress, superposition of 386
SI units facing inside back cover
| Sign convention for moment in beams 238
Sign convention for shear in beams 237
Sign convention for stress 7 405
Simple beams, definition of 228
Singularity functions 263 523
Skew bending see "Unsymmetrical bending"
Slenderness ratio 589
Spherical pressure vessels 155
Spring constant 75
Spring constant, torsional 191 209 215
Springs, helical 389
St. Venant torsion 207
St. Venant's principle 15 74 86 181 467
Stability of equilibrium, columns 574 674
Stability of equilibrium, columns, criteria for 578
Stability of equilibrium, columns, Euler load 583 585
Statical moment of area 362
Statically indeterminate beams, analysis by Castigliano's method 670
Statically indeterminate beams, analysis by displacement method 697
Statically indeterminate beams, analysis by flexibility method 687
Statically indeterminate beams, analysis by force method 687
Statically indeterminate beams, analysis by integration of differential equations 507 514
Statically indeterminate beams, analysis by moment-area 551
Statically indeterminate beams, analysis by singularity function solutions 523
Statically indeterminate beams, analysis by stiffness method 702
Statically indeterminate beams, analysis by superposition 527
Statically indeterminate beams, analysis by three-moment equation 559
Statically indeterminate beams, definition of 23
Statically indeterminate systems in frames 99 105 651 653
Statically indeterminate systems in torsion 194
Statically indeterminate systems, analysis by displacement method 106 697
Statically indeterminate systems, analysis by energy methods 670
Statically indeterminate systems, analysis by flexibility method 102 690
Statically indeterminate systems, analysis by force method 100 687
Statically indeterminate systems, analysis by stiffness method 108 702
Statically indeterminate systems, analysis by virtual work methods 650 653
Statically indeterminate systems, axially loaded 99
Statically indeterminate systems, nonlinear problems 112 708 713 721
Steel shapes, properties for designing A-5—A-11
Stiffness matrix 110 702
Stiffness, coefficients 702
Stiffness, coefficients, reciprocity of 703
Stiffness, definition of 75
Stiffness, definition of, torsional 191 209 215
Strain energy see "Elastic strain energy"
Strain hardening 69
Strain rosettes 438
Strain, definition of 61 143
Strain, extensional 61
Strain, irrotational 145
Strain, maximum 436
Strain, Mohr's circle for 435
Strain, natural 61
Strain, plane 146 149
Strain, principal 433 436
Strain, pure 145
Strain, shear 140 144
Strain, tensor 145
Strain, thermal 84
Strain, transformations of 430
Strain, true 61
Strength, ultimate 32
Stress in curved bars 306
Stress trajectories 470
Stress, allowable 1 32 608 610 612 A-2 A-3
Stress, bearing 21
Stress, biaxial 10
Stress, circumferential 154
Stress, concentration factor, definition of 86
Stress, concentration factor, for axially loaded members 89
Stress, concentration factor, in bending 297
Stress, concentration factor, in springs 391
Stress, concentration factor, in torsion for circular bars 187
Stress, definition of 4
Stress, engineering 65
Stress, fiber 34
Stress, flexure 283 286
Stress, hoop 154
Stress, impact 96
Stress, maximum and minimum normal 15 16
Stress, Mohr's circle of 414
Stress, normal 5 22
Stress, plane 9 149
Stress, principal 409 424
Stress, residual 19 205 316
Stress, shear 19 22
Stress, state of 7 405
Stress, tangential 160
Stress, tensile 5
Stress, tensor 7 446
Stress, three-dimensional 10 424
Stress, torsional 179 208 214
Stress, transformation of 403 407 424
Stress, triaxial 10 424
Stress, true 65
Stress, two-dimensional 407
Stress, uniaxial 10
Stress-strain for shear 139
Stress-strain, diagram 62
Stress-strain, idealization 67 69
Stress-strain, relationships 62
Stretching 143
Suddenly applied loads 98 199 531
Superposition of deflection 113 525
Superposition of shear stresses 386
Superposition of strain 333
Superposition of stress 113 319 324
Superposition, principle of 102
Superposition, statically indeterminate problems solved by 101 195 319 325 386 525
Supports, diagrammatic conventions for 225
Supports, fixed 226
Supports, simple 226
Tables, index of A-1
Tangent modulus 70 59
Tangential deviation 540
Temperature or thermal strain 84
Tensile test 31
Tensor, deviatoric stress 446
Tensor, dilatational stress 446
Tensor, distortional stress 446
Tensor, spherical stress 446
Tensor, strain 145
Tensor, stress 7 446
Tensor, zero-rank (order) 8
Theories of failure 441
Thermal stresses 120
Thick-walled cylinders 159
Thin-walled cylinders 152
Thrust 235
Torque, internal 176
Torsion, circular members, angle-of-twist due to 189 205
Torsion, circular members, assumptions of theory 177
Torsion, circular members, elastic energy in 200
Torsion, circular members, elastic torsion formula 179
Torsion, circular members, inelastic 202
Torsion, circular members, statically indeterminate problems 194
Torsion, noncircircular solid bars 207
Torsion, thin-walled tubular members 213
Torsional spring constant 191 209 215
Torsional stiffness 191
Toughness 93
Trajectories, stress 470
Transformation of moments of inertia 341
Transformation of strain 430
Transformation of strain in two dimensions 430
Transformation of stress 403
Transformation of stress, for general state of stress 424 426
Transformation of stress, in two dimensions 407
Transformed cross-sectional area 302
Tresca yield condition 444
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