Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

flexural, 239–240
in-plane shear, 547–548
normal, 30–32
plane, 541–550, 547–548, 552–554
pressure vessels, 591–592
principal, 547–548
principal, by Mohr’s circle, 552–554
shear, 30, 37–38, 137–138, 142, 187,
541–548, 552
tensile, 31, 240
torsional shear, 137–138, 142, 187
volumetric, 563
Strain element, defined, 540
Strain energy, 656–660, 715, 717–718
for axial loadings, 658–659
elastic, 659–660
Strain-energy density, 659–660, 718–720
for normal stress, 718–719
for shear stress, 719–720
units of, 719
Strain gages, 31, 555–556
Strain hardening, 51, 55
Strain invariance, 544
Strain rosette, 555–557
Strength
ultimate, 51, 55
ultimate, of selected materials, table,
825–826
yield, 51, 55
yield, of selected materials, table,
825–826
Strength limit states, 81
Stress
allowable, 68–69
average normal, 129, 504
average shear, 8, 11, 189, 334, 348
axial, 2, 84–85
bearing, 12–14, 69–70
biaxial, 566–568, 587, 590–591, 656,
657, 659, 662
circumferential, 308, 588–590, 598–605,
607, 612–614
compression, 141, 241, 282, 693–694,
697, 707
compressive, 12, 623, 707
defined, 2
flexural, 243, 245, 254, 270
hoop, 588–591
longitudinal, 588–591, 605
maximum, 601–604
maximum normal, 129, 140–141, 500,
585, 662
maximum shear, 8, 23, 138–142,
183–186, 332, 499, 503, 506, 515,
517, 536–537, 587, 602, 608,
621–623, 634, 635
maximum shear, by Mohr’s circle, 517
nominal, 129–130, 132–133, 183,
302–303
normal, 479, 566, 575
compression, 141, 241, 282, 693–694,
697, 707
compressive, 12, 623, 707
defined, 2–3, 480
and hydrostatic state stress, 565
tensile, 132, 140, 141
tension, 241, 254, 270, 282, 547–548
out-of-plane shear, 586–587
plane, 483–485, 488–490
principal, 499–502
principal, by Mohr’s circle, 517
radial, 600–601, 603–605, 607
residual, 697
resultant, 532–533, 535
shear, 7–8, 327–329, 331–332, 491–492,
621, 623
tangential, 586–591, 606
tensile, 132, 140, 141, 613
thermal, 119
in thick-walled cylinders, 598–605
torsional shear, 138–139, 186–189
triaxial, 588, 659
true, 51, 53
two-dimensional, 483
Stress concentration
under axial loadings, 129–133
defined, 85
under flexural loadings, 302–305
under torsional loadings, 183–185
Stress-concentration factors
for circular shafts, 183–185, 304
for flat bars, 130–133, 303
Stress distribution
normal stress, 3, 22, 70, 84–85, 130,
241, 276, 282, 293, 320
shear stress, 331, 339
Stress element
defined, 481
generating, 483–485
Stress invariance, 493, 505
Stress–strain diagram, 45–55
Stress–strain equations, for isotropic
materials, 560–567
Stress trajectory, 129–130, 621–623
Stress transformation, 481, 488–496,
499–517
Strong axis, 255
Structural shapes, standard, 255, 256,
809–820
Structural tees (T-shapes), 255, 256, 815–816
Superposition, principle, 295, 313, 423–424,
461–463, 561, 577–578, 636, 693
Superposition method
for combined loadings, 636
for curved bars, 313
for deflections of determinate beams,
423–439
for indeterminate beam analysis, 461–472
Support settlement, defined, 396
Symmetry conditions, 397
t
Table(s)
of deflection and slopes of beams,
822–823
of discontinuity functions, 228
of properties of materials,
825–827
of properties of plane figures, 791
of properties of rolled-steel shapes,
809–820
of properties of wood construction materials,
827
Tangential stress, 132
Temperature effects, 120, 574–576
Tensile strain, 31, 240
Tensile stress, 132, 140, 141, 613
Tension, defined, 2
Tension stress, 241, 254, 270, 282,
547–548
Tension test, 45–47
Theories of failure
maximum-distortion-energy,
658–661
maximum-normal-stress, 662
maximum-shear-stress, 657–658
Mises equivalent stress, 661–662
Mohr’s Failure Criterion, 662–663
Thermal expansion
coefficient, for selected materials, table,
825–826
Thermal expansion, coefficient of, 41
Thermal strain, 41
Thermal stress, 119
Thick-walled pressure vessels
deformations in, 606–609
equations, 831
stress in, 598–605
Thin-walled pressure vessels
cylindrical, 588–591
equations, 831
spherical, 586–588
Thin-walled sections, torsion, 189–191
Torque, defined, 10, 135
Torque–rotation diagram, 722
Torque–twist relationship, 167, 168, 170,
173, 178
853