|
|
xiii | |
|
List of Computer Programs |
|
|
xv | |
Preface (to the second edition) |
|
xvii | |
Preface (to the first edition) |
|
xix | |
|
|
1 | (44) |
|
1.1 Modeling of engineering systems |
|
|
2 | (2) |
|
|
4 | (13) |
|
1.2.1 Some definitions and concepts |
|
|
4 | (1) |
|
|
5 | (1) |
|
|
6 | (2) |
|
1.2.4 Conditions of equilibrium |
|
|
8 | (1) |
|
|
9 | (8) |
|
1.3 Concepts of stress and strain |
|
|
17 | (13) |
|
1.3.1 Definition of stress |
|
|
17 | (2) |
|
1.3.2 Normal and shear stresses |
|
|
19 | (5) |
|
1.3.3 Stress concentrations |
|
|
24 | (2) |
|
|
26 | (2) |
|
1.3.5 Definitions of strain |
|
|
28 | (2) |
|
1.4 Influence of material properties |
|
|
30 | (3) |
|
1.5 Principles of mechanics of solids |
|
|
33 | (2) |
|
1.6 Use of numerical methods and computers |
|
|
35 | (10) |
|
|
36 | (9) |
|
2 Statically Determinate Systems |
|
|
45 | (58) |
|
2.1 Pin-jointed structures |
|
|
45 | (28) |
|
2.1.1 Equilibrium analysis of plane pin-jointed structures |
|
|
49 | (12) |
|
2.1.2 Method of sections for plane pin-jointed structures |
|
|
61 | (1) |
|
2.1.3 A computer program for plane pin-jointed structures |
|
|
62 | (10) |
|
2.1.4 Analysis of space frames |
|
|
72 | (1) |
|
2.2 Uniformly loaded thin shells |
|
|
73 | (13) |
|
2.2.1 Pressurized thin-walled cylinder |
|
|
73 | (8) |
|
2.2.2 Pressurized thin-walled sphere |
|
|
81 | (3) |
|
2.2.3 Thin rotating ring or cylinder |
|
|
84 | (2) |
|
|
86 | (17) |
|
2.3.1 Simplified analysis for cables with small dip |
|
|
86 | (10) |
|
|
96 | (7) |
|
3 Relationships between Stress and Strain |
|
|
103 | (36) |
|
3.1 Hydrostatic stress and volumetric strain |
|
|
103 | (3) |
|
3.2 Elastic stress-strain equations |
|
|
106 | (14) |
|
|
106 | (6) |
|
|
112 | (1) |
|
3.2.3 Hydrostatic loading |
|
|
112 | (1) |
|
3.2.4 Relationships between the elastic constants |
|
|
113 | (3) |
|
|
116 | (4) |
|
3.3 Other stress-strain relationships |
|
|
120 | (2) |
|
3.4 Deformations of statically determinate systems |
|
|
122 | (17) |
|
3.4.1 Pin-jointed structures |
|
|
122 | (4) |
|
3.4.2 Pressurized thin-walled cylinder |
|
|
126 | (5) |
|
3.4.3 Pressurized thin-walled sphere |
|
|
131 | (4) |
|
|
135 | (4) |
|
4 Statically Indeterminate Systems |
|
|
139 | (54) |
|
4.1 Pin-jointed structures |
|
|
139 | (25) |
|
4.1.1 Finite element analysis |
|
|
140 | (9) |
|
|
149 | (3) |
|
4.1.3 Practical applications |
|
|
152 | (11) |
|
4.1.4 Design of pin-jointed structures |
|
|
163 | (1) |
|
4.2 Other statically indeterminate systems |
|
|
164 | (29) |
|
|
164 | (9) |
|
4.2.2 Liquid-filled thin-walled vessels |
|
|
173 | (3) |
|
4.2.3 Resisted thermal expansion |
|
|
176 | (7) |
|
|
183 | (10) |
|
5 Bending of Beams: Moments, Forces, and Stresses |
|
|
193 | (116) |
|
5.1 Some practical examples of beams |
|
|
193 | (9) |
|
5.1.1 Types of supports for beams |
|
|
195 | (4) |
|
5.1.2 Types of loads on beams |
|
|
199 | (3) |
|
5.2 Shear forces and bending moments in beams |
|
|
202 | (45) |
|
5.2.1 Definition of shear force and bending moment |
|
|
202 | (11) |
|
5.2.2 Relationships between distributed lateral force, shear force, and bending moment |
|
|
213 | (18) |
|
5.2.3 Computer method for shear force and bending moment distributions |
|
|
231 | (16) |
|
5.3 Stresses due to bending |
|
|
247 | (43) |
|
5.3.1 Normal stresses due to bending |
|
|
247 | (9) |
|
5.3.2 Shear stresses due to bending |
|
|
256 | (6) |
|
5.3.3 Beams of various cross sections |
|
|
262 | (9) |
|
5.3.4 Unsymmetrical bending |
|
|
271 | (3) |
|
5.3.5 Reinforcement of beams |
|
|
274 | (4) |
|
|
278 | (10) |
|
5.3.7 Bending of initially curved beams |
|
|
288 | (2) |
|
5.4 Combined bending and axial loads |
|
|
290 | (19) |
|
|
296 | (13) |
|
6 Bending of Beams: Deflections |
|
|
309 | (70) |
|
6.1 Relationship between curvature and bending moment |
|
|
310 | (3) |
|
6.2 Deflection of statically determinate beams |
|
|
313 | (28) |
|
6.2.1 Solutions for some simple cases |
|
|
313 | (10) |
|
6.2.2 Use of step functions |
|
|
323 | (13) |
|
6.2.3 Solution by superposition |
|
|
336 | (2) |
|
6.2.4 Beams of varying cross section |
|
|
338 | (3) |
|
6.3 Deflection of statically indeterminate beams |
|
|
341 | (10) |
|
6.4 Computer method for beam deflections |
|
|
351 | (28) |
|
6.4.1 Finite element analysis |
|
|
351 | (8) |
|
|
359 | (4) |
|
6.4.3 Practical applications |
|
|
363 | (9) |
|
|
372 | (7) |
|
|
379 | (42) |
|
|
380 | (17) |
|
7.1.1 Torsion of thin-walled cylinders |
|
|
380 | (4) |
|
7.1.2 Torsion of solid circular shafts |
|
|
384 | (6) |
|
7.1.3 Torsion of hollow circular shafts |
|
|
390 | (3) |
|
7.1.4 Nonuniform circular shafts |
|
|
393 | (4) |
|
7.1.5 Shafts of noncircular cross section |
|
|
397 | (1) |
|
7.2 Statically determinate torsion problems |
|
|
397 | (6) |
|
7.3 Statically indeterminate torsion problems |
|
|
403 | (7) |
|
7.4 Combined bending and torsion |
|
|
410 | (11) |
|
|
413 | (8) |
|
8 Instability and the Buckling of Struts and Columns |
|
|
421 | (44) |
|
8.1 Stable, neutral, and unstable equilibrium |
|
|
423 | (5) |
|
8.2 Buckling of pin-ended struts |
|
|
428 | (14) |
|
8.2.1 The perfect pin-ended strut |
|
|
428 | (4) |
|
8.2.2 Eccentrically loaded struts |
|
|
432 | (5) |
|
8.2.3 Initially curved struts |
|
|
437 | (2) |
|
8.2.4 Effects of lateral loading |
|
|
439 | (3) |
|
8.3 Struts and columns with other end conditions |
|
|
442 | (23) |
|
8.3.1 Column with ends fixed and free |
|
|
443 | (2) |
|
8.3.2 Column with both ends fixed |
|
|
445 | (2) |
|
8.3.3 Column with ends fixed and pinned |
|
|
447 | (3) |
|
8.3.4 More general cases of column buckling |
|
|
450 | (3) |
|
8.3.5 Failure of real struts and columns |
|
|
453 | (5) |
|
|
458 | (7) |
|
9 Transformations of Stress and Strain |
|
|
465 | (64) |
|
9.1 Transformation of stress |
|
|
467 | (22) |
|
9.1.1 Notation for stresses |
|
|
467 | (3) |
|
|
470 | (6) |
|
9.1.3 Principal stresses and maximum shear stresses |
|
|
476 | (6) |
|
9.1.4 Mohr's circle for plane stress |
|
|
482 | (3) |
|
9.1.5 Principal stresses and maximum shear stresses in a three-dimensional state of stress |
|
|
485 | (4) |
|
9.2 Transformation of strain |
|
|
489 | (17) |
|
9.2.1 Notation for strains |
|
|
489 | (2) |
|
|
491 | (5) |
|
9.2.3 Principal strains and maximum shear strains |
|
|
496 | (1) |
|
9.2.4 Relationship between Young's modulus and shear modulus |
|
|
497 | (2) |
|
9.2.5 Mohr's circle for plane strain |
|
|
499 | (1) |
|
9.2.6 Use of strain gages |
|
|
500 | (6) |
|
9.3 Computer method for stresses and strains at a point |
|
|
506 | (2) |
|
9.4 Yield and fracture criteria |
|
|
508 | (21) |
|
9.4.1 Yield criteria for ductile materials |
|
|
509 | (5) |
|
9.4.2 Failure criteria for brittle materials |
|
|
514 | (2) |
|
|
516 | (5) |
|
|
521 | (8) |
|
10 Equilibrium and Compatibility Equations: Beams and Thick-Walled Cylinders |
|
|
529 | (54) |
|
10.1 Stress equilibrium equations |
|
|
529 | (4) |
|
10.1.1 Equilibrium equations in Cartesian coordinates |
|
|
529 | (2) |
|
10.1.2 Equilibrium equation in polar coordinates for axial symmetry |
|
|
531 | (2) |
|
10.2 Strain compatibility equations |
|
|
533 | (5) |
|
10.2.1 Definitions of strains in terms of displacements |
|
|
534 | (3) |
|
10.2.2 Compatibility equation in Cartesian coordinates |
|
|
537 | (1) |
|
10.2.3 Compatibility equation in polar coordinates for axial symmetry |
|
|
538 | (1) |
|
10.3 Application to beam bending |
|
|
538 | (16) |
|
|
538 | (5) |
|
10.3.2 Cantilever with a concentrated end force |
|
|
543 | (6) |
|
10.3.3 Simply supported beam with a distributed force |
|
|
549 | (5) |
|
10.4 Application to thick-walled cylinders and disks |
|
|
554 | (29) |
|
10.4.1 Internally pressurized thick-walled cylinder |
|
|
555 | (7) |
|
10.4.2 Compound cylinders |
|
|
562 | (10) |
|
|
572 | (5) |
|
|
577 | (6) |
|
11 Energy Methods of Structural Mechanics |
|
|
583 | (54) |
|
|
583 | (1) |
|
11.2 Concepts of work and energy |
|
|
584 | (4) |
|
11.3 Strain energy and complementary strain energy |
|
|
588 | (10) |
|
11.4 Virtual work and complementary virtual work |
|
|
598 | (6) |
|
11.4.1 Preliminary comments |
|
|
598 | (1) |
|
11.4.2 Internal and external virtual work |
|
|
599 | (5) |
|
11.5 Variational operator and fundamental lemma |
|
|
604 | (3) |
|
11.6 The principle of virtual displacements and its special cases |
|
|
607 | (13) |
|
11.6.1 The principle of virtual displacements |
|
|
607 | (2) |
|
11.6.2 The principle of minimum total potential energy |
|
|
609 | (3) |
|
11.6.3 Castigliano's Theorem I |
|
|
612 | (8) |
|
11.7 The principle of virtual forces and its special cases |
|
|
620 | (17) |
|
11.7.1 The principle of complementary virtual work |
|
|
620 | (2) |
|
11.7.2 The principle of minimum complementary energy and Castigliano's Theorem II |
|
|
622 | (10) |
|
|
632 | (5) |
|
|
637 | (18) |
|
A Properties of Materials |
|
|
637 | (3) |
|
A.1 Density, elastic, and thermal properties |
|
|
637 | (2) |
|
|
639 | (1) |
|
A.3 Conversion factors between SI metric and US customary units |
|
|
640 | (1) |
|
|
640 | (9) |
|
|
640 | (5) |
|
B.2 Second moment of area |
|
|
645 | (1) |
|
B.3 Parallel axis theorem |
|
|
646 | (2) |
|
B.4 Perpendicular axis theorem |
|
|
648 | (1) |
|
B.5 Properties of some simple shapes |
|
|
649 | (1) |
|
C Deflections and Slopes for Some Common Cases of the Bending of Beams |
|
|
649 | (6) |
|
|
651 | (1) |
|
C.2 Simply supported beams |
|
|
652 | (1) |
|
|
653 | (2) |
Answers to Even-Numbered Problems |
|
655 | (10) |
Index |
|
665 | |