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Patnaik S., Hopkins D. — Strength of Materials: A New Unified Theory for the 21st Century
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Íàçâàíèå: Strength of Materials: A New Unified Theory for the 21st Century
Àâòîðû: Patnaik S., Hopkins D.
Àííîòàöèÿ: Strength of materials is a common core course requirement in U.S. universities (and those elsewhere) for students majoring in civil, mechanical, aeronautical, naval, architectural, and other engineering disciplines. The subject trains a student to calculate the response of simple structures. This elementary course exposes the student to the fundamental concepts of solid mechanics in a simplified form. Comprehension of the principles becomes essential because this course lays the foundation for other advanced solid mechanics analyses. The usefulness of this subject cannot be overemphasized because strength of materials principles are routinely used in various engineering applications. We can even speculate that some of the concepts have been used for millennia by master builders such as the Romans, Chinese, South Asian, and many others who built cathedrals, bridges, ships, and other structural forms. A good engineer will benefit from a clear comprehension of the fundamental principles of strength of materials. Teaching this subject should not to be diluted even though computer codes are now available to solve problems.
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Ðóáðèêà: Òåõíîëîãèÿ /
Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö
ed2k: ed2k stats
Èçäàíèå: 1 edition
Ãîä èçäàíèÿ: 2003
Êîëè÷åñòâî ñòðàíèö: 750
Äîáàâëåíà â êàòàëîã: 27.10.2010
Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Force(s), interface 59
Force(s), redundant force method xiv
Force(s), shear (transverse) 7 11 18—19 21 134—152
Force(s), trusses (determinate) 274
Force(s), virtual 507—508
Fracture stress 35
Frame member 3 20 21
Frame member, deformation 25—26
Frame member, sketch for 23
Frames, indeterminate, integrated force method 407—420 427—429 431—434
Frames, indeterminate, portal, with mechanical load 405—406
Frames, indeterminate, portal, with thermal load 425—431
Frames, indeterminate, settling for support 431—436
Frames, indeterminate, stiffness method 421—425 429—431
Frames, simple, Galileo's problem 256—259
Frames, simple, L-Joint 250—253
Frames, simple, leaning column 254—256
Frames, simple, support 239—245
Free-body diagrams 58—59
Galileo xvii 2 48 49 129 154
Galileo, cantilever experiment vii-viii
Galileo, strength and resistance problem 256—259
Gallagher, Richard H. xix
Gauge length 31
Geometrical linearity 38—40
Graphical determination of displacement 87—89
Gravity, acceleration 8
Greene, Charles xvii
Hogging moment 19
Hooke's law 30—31 33 166—167
Hooke, Robert viii xvii 30
Horsepower 233
Hybrid method xiv xv 556
I-section 184
Indeterminate analysis xii-xiii
Initial deformation in a determinate truss 96—97
Initial deformation in a indeterminate truss 270—272
Integrated force method (IFM) xiii
Integrated force method (IFM), bars, fixed 571—572
Integrated force method (IFM), beams (cantilevered) 587—588
Integrated force method (IFM), beams (indeterminate) 317—328
Integrated force method (IFM), beams (propped cantilevered) 345—350
Integrated force method (IFM), beams (supported by tie rods) 615—622
Integrated force method (IFM), beams (three-span) 355—360
Integrated force method (IFM), design model 407
Integrated force method (IFM), equations 559—561
Integrated force method (IFM), frames (indeterminate) 407—420 427—429 431—434
Integrated force method (IFM), reaction model 407
Integrated force method (IFM), shafts (indeterminate) 376—379
Integrated force method (IFM), standard model 407—420
Integrated force method (IFM), stress calculation 591
Integrated force method (IFM), trusses (indeterminate) 274 275—289
Integrated force method (IFM), trusses (single-bay) 579—581
Integrated force method, dual (IFMD) 274—275 289—296
Integrated force method, dual (IFMD), bars, fixed 575—577
Integrated force method, dual (IFMD), beams (cantilevered) 590—591
Integrated force method, dual (IFMD), compatibility matrix 561
Integrated force method, dual (IFMD), equations 561
Integrated force method, dual (IFMD), trusses (single-bay) 584—586
Interface forces 59
Interface forces, shear force and built-up beams 197—202
Internal forces of beams, analysis of 131—148m 315—317
Internal torque, shafts and 218—222
International system of units see "SI"
Jourawski, D.J. xvii
Kelvin (K) 4
Kepler, J. 42
Kilogram (kg) 4
Kirchhoff, Gustav Robert xvii
L-frame 246—250
L-frames, simple 246—250
L-Joint 250—253
Lagrange, Joseph-Louis xvii
Lame, Gabriel xvii
Latural contraction 33
Leaning column 254—256
Leonardo da Vinci xvii 42
Levy, Maurice xix
Line of action 7
Linearity, geometrical 38—40
Linearity, material 38
Load see also "Mechanical load" "Thermal
Load, external 1 518—520
Load, relationships between bending moment, shear force, and 149—152
Load, sign conventions for 15 16
Load, unit load theorem 539—541
Load-carrying capacity 16
Love, A.E.H. xviii
mass density 29
Material linearity 38
Material properties 28
Material properties, Brittle 35
Material properties, coefficient of linear expansion 29—30
Material properties, density 29
Material properties, ductility 29 35—36
Material properties, elastic 28
Material properties, flexure formula 154
Material properties, isotropic 28
Material properties, Poisson's ratio 29 33—34
Material properties, shear modulus 29 34
Material properties, strength of 37—40
Material properties, Young's modulus 29 33
Matrix algebra (matrices), determinants 655
Matrix algebra (matrices), eigenvalue problem 655—657
Matrix algebra (matrices), finite element methods 562—571
Matrix algebra (matrices), notation 80—81 645—647
Matrix algebra (matrices), operations 649—652
Matrix algebra (matrices), types of 647—649
Matrix equation, solution of 652—655
Maxwell's reciprocal theorem 544—546
Maxwell, James Clerk xvii
Mechanical load 1
Mechanical load, beams (indeterminate) 318—328 339—341
Mechanical load, frames (portal) 405—406
Mechanical load, stiffness method 339—341
Mechanical load, trusses (indeterminate) 271 276—279 291 293
Mechanical properties 685—686
Meter (m) 4
Method of section 61—63
Michell, John Henry xviii
Minimum potential energy, principle of 515—523
Modulus of elasticity see "Young's modulus"
Moebius, August Ferdinand xvii
Mohr's circle for plane stress 453—456
Mohr, Otto xvii 453
Moment curvature relationship (MCR) 168—170
Moment of inertia 154 665—674
Moment of inertia (polar) 667—669
Moment, equilibrium equation expressed in 480
Moment, hogging 19
Moment, sagging 19
Moment, sign convention for external 15—16 17
Muller-Breslau, H. xviii
Navier formulation xv 555 556
Navier's table problem 47—49 629—633
Navier, Claude Louis Marie Henri xiv xvii 154 274
Necking 35
Neumann, Franz xvii
Neutral axis 130
Neutral plane 130—131 154
Newton (N) 7
Newton, Isaac xvii 42
Nodal displacement 85—96
Normal (n) sign convention 15—16 25
Normal strain 27
Normal stress 26—27
Null property 273
Octahedral bar, force analysis 65—68
Octahedral bar, strain in 75—76
Octahedral bar, stress in 70—72
Ostrogradsky, Mikhail V. xvii
Parallel-axis theorem 669—674
Pascal 33
Percent elongation 35
Piola, Gabrio xvii
Plane area, properties of 659—675
Plane stress 442—445
Plane stress, Mohr's circle for 453—456
Plastic region 35
Plate, stress in 441—442
Poisson's effect 27 154
Poisson's ratio xvii 29 33—34 154
Poisson, Simeon-Denis xvii
Polar moment of inertia 667—669
Poncelet, Jean Victor xvii
Potential energy, principle of minimum 515—523
Pound-force (1bf) 4
Power transmission, circular shafts and 233—236
Pressure vessels, stress in 463
Pressure vessels, stress in, in cylindrical 466—470
Pressure vessels, stress in, in spherical 463—465
Principal stress 448—453
Principal stress, properties of 456—462
Product of inertia 669
Pure flexure condition 154—155
Pure torsion 223
Radian (rad) 4
Radius of gyration 666
Rayleigh, Lord xvii
Rectangular membranes, elemental equilibrium matrix for 569—570
Rectangular membranes, flexibility matrix for 570
Rectangular membranes, stiffness matrix for 570—571
Redundant force method xiv 275 531—533 555 556 557
Redundant force method for beams 605—612
Redundant force method for shafts 613—615
Redundant force method, basis structures, force solution 597—600
Redundant force method, basis, structures, types of 595—597
Redundant force method, beams supported by tie rods 615—622
Redundant force method, calculation of 600—603
Redundant force method, calculation of displacement 603—605
Redundant force method, integrated force method 618—622
Redundant force method, steps 595—605
Reissner method 556
Response calculation 1
Response variables, deformation 7 25—26
Response variables, description of 637—640
Response variables, displacement 7 25
Response variables, force 7 10—14
Response variables, strain 7 27
Response variables, stress 7 26—27
Right-hand rule 16 19
Rigid body, principle of virtual work for 509 511—515
Ring problem 633—637
Ritz, Walter xviii
Rotation, displacement 25
Sagging moment 19
Saint-Venant, Adhemar Jean Claude Barre de ix xvii 223
Savart, Felix xvii
Secant formula 488—492
Second (s) 4
Secondary stress analysis 55
Self-stress matrix, derivation of 533—534
Settling of support in a trusses (determinate) 101—104
Settling of support in a trusses (indeterminate) 270—272 281—283 294—296
Settling of support in beams (indeterminate) 335—337 343—344
Settling of support in beams (simple) 183—184
Settling of support in frames (indeterminate) 431—436
Settling of support, stiffness method for 303—305 343—345 434—436
Shaft members 3
Shaft members, sketch for 23
Shafts, determinate, angle of twist 224—225 232—233
Shafts, determinate, applications 217
Shafts, determinate, circular 233—236
Shafts, determinate, composite 232—233
Shafts, determinate, deformation 224—233
Shafts, determinate, power transmission 233—236
Shafts, determinate, torque, analysis of internal 218—222
Shafts, determinate, torsion formula 222—224 225
Shafts, indeterminate, applications 371
Shafts, indeterminate, compatibility conditions 375—376
Shafts, indeterminate, deformation displacement relation 373
Shafts, indeterminate, equations used to analyze 371
Shafts, indeterminate, equilibrium equations 372—373
Shafts, indeterminate, force deformation relation 373—374
Shafts, indeterminate, integrated force method 376—379
Shafts, indeterminate, stiffness method 379—400
Shafts, redundant force for 613—615
Shear center, beams and 184—197
Shear deformation 25
Shear flow, direction of 186
Shear flow, formula 201 202
Shear flow, magnitude of 186—189
Shear force 7 11 688—689
Shear force, beams and shear force diagrams 134—148
Shear force, built-up beams and interface 197—202
Shear force, relationships between bending moment, load, and 149—152
Shear force, sign convention for 18—19 21
shear modulus 29 34
Shear strain 27
Shear stress 26
Shear stress formula 159—164 201 202
shells 3
SI (International System of Units), base units 4
SI (International System of Units), converting to USCS 8 9
Sign conventions for equilibrium equations 43 681—684
Sign conventions, determinate analysis xi
Sign conventions, indeterminate analysis xii-xiii
Sign conventions, normal (n) 15—16 25
Sign conventions, right-hand rule 16 19
Sign conventions, tensor (t) 15 17—23 26 27
Slenderness ratio (SR) 12
Slug 8
Small-displacement theory 38—40
Stability problem 478
Steel 28 685
Stiffness matrix 274
Stiffness matrix for bar elements 568—569
Stiffness matrix for rectangular membranes 570—571
Stiffness method xiii-xiv 555 556
Stiffness method for mechanical load 339—341
Stiffness method for settling of support 303—305 343—344 434—436
Stiffness method for thermal load 300 341—342
Stiffness method, bars, fixed 577—578
Stiffness method, beams (cantilevered) 591—592
Stiffness method, beams (indeterminate) 337—355
Stiffness method, beams (propped) 350—351
Stiffness method, beams (three-span) 360—366
Stiffness method, equations 561
Stiffness method, frames (indeterminate) 421—425 429—431
Stiffness method, shafts (indeterminate) 379—400
Stiffness method, trusses (indeterminate) 274—275 296—300
Stiffness method, trusses (single-bay) 584—586
Stiffness method, trusses (three-bar) 515—518
Stokes, George Gabriel xvii
strain 1 7 27
Strain energy 35 89—90
Strain energy of total deformations 500—503
Strain energy of total deformations, complementary 503—504
Strain energy, basic concept 498—499
Strain energy, Castigliano's first theorem 523—526
Strain energy, Castigliano's second theorem 93—96 537—539
Strain energy, complementary 499—500
Strain in bar member 74—75
Strain in beams 165—170
Strain in octahedral bar 75—76
Strain, displacement 476
Strain, formulation ix 687
Strain, gauges 31—32
Strain, hardening 35
Strain, normal versus shear 27
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