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

Biaxial stress, 566–568, 587, 590–591,
656, 657, 659, 662
Boundary conditions
for beams, 396, 411, 424, 451
for columns, 671, 672, 680–682, 691
Brittle materials, 24, 52–54, 133, 141, 621,
662–663
maximum-normal-stress theory of
failure, 662
Mohr’s Failure Criterion, 662–663
Buckling
defined, 141, 667
equations, 831
Built-up beams, shear in, 346–352
Bulk modulus, 564
C
Cantilever beam
deflection formulas, 823
Cantilever beam, defined, 195
Castigliano’s First Theorem, 774
Castigliano’s Second Theorem, 774–787
applied to beams, 781–787
applied to trusses, 776–780
development of, 774–776
Center of curvature, defined, 239–240
Centric loading
combined with bending, 282–289
combined with bending and torsion,
634–652
combined with torsion, 616–619
defined, 23
stresses due to, 2–7
Centroids of areas, 790–794
Channel sections (C-shapes), 255, 256,
813–814
Circular hole, stress distribution near,
130–133
Circular shafts
deformations in, 137–138, 142–143
elastic torsion formula for, 139
moment of inertia, 260, 338–339, 636,
640, 644, 648
normal stresses in, 139–141
polar moment of inertia, 139
section modulus, 260
shear stresses in, 139–141
statically indeterminate, 166–181
strains in, 137–138
stress-concentration factors, 183–185
transverse shear stress in, 338–339
Circumferential stress (hoop stress), 308,
588–591, 598–605, 607, 612–614
Clapeyron’s theorem, 659
Code calibration, 78
Coefficient of thermal expansion, 41
of selected materials, table, 825–826
Column(s)
centric loading of, 670–688
critical load for, 672–673, 683–685
defined, 667
derivation of, 671–672, 690–695
eccentricity ratio for, 694–695
eccentric loading, 690–695, 707–713
effective length, 683–688
effective length factors, 684–685
effect of end conditions on, 680–688
empirical formulas for, 696–704
Euler’s formula, 672–673
intermediate, 675, 697–699
local instability, 699
long, 675, 697–699
short, 675, 697, 698
slenderness ratio, 673, 675, 685
Column-buckling model, 668, 831
Column formulas
AISC, 697–698
Aluminum Association, 698–699
Euler, 672–673
interaction, 708
NDS, 699
parabolic, 715
secant, 694
structural steel, 697–698
wood, 699
Combined loadings
axial and torsional, 616–619
centric, flexural, and torsional, 484,
634–652
centric and flexural, 282–289
Compatibility equation
for axial members, 103, 106, 109,
122, 124
for flexural members, 462
for torsion members, 167, 168, 170,
173, 178
Composite beams, 270
Compression, defined, 2
Compression stress, 141, 241, 282,
693–694, 697, 707
Compressive stress, 623, 707
Concentrated load, 195
Concept of stress, 2–3, 7–8, 480–481
Conservation of energy
applied to axial deformation, 718
applied to impact load, 729
applied to torsional deformation, 722
defined, 715, 717, 746
Constitutive relationships, 103
Contact pressure, 610, 611
Continuity conditions, 396–398, 451
Continuous beam, defined, 446–447
Coulomb’s theory, 657
Critical buckling load, 670, 672–673, 675
Critical buckling stress, 673–675
Cross section, defined, 2
Curvature, 240
Curvature, radius of, 239
Curved bars, 306–315
Cylinders, 609–614
Cylindrical pressure vessels, 588–591
D
Dead loads, 66
Deflection, beams
formulas for cantilever beams, 823
formulas for simply supported
beams, 822
by integration method, 394–412
by superposition method, 423–439
Deflection curve, 237
Deformation
axial, 83–134, 720–722
in circular shafts, 137–138, 142–143
circumferential, 606
in curved bars, 307
defined, 30
flexural, 239–240, 724–727
and hydrostatic state stress, 565
plastic, 50
radial, 606
in thick-walled cylinders, 606–609
torsional, 142–143, 722–723
Deformation diagram, 32–33, 96–97,
100–101, 111–114, 123, 126, 658
Degree of indeterminacy, 446
Design
allowable stress, 68–69
beam, 265–268
column
AISC specifications, 697–698
Aluminum Association specifications,
698–699
formulas for, 696–704
NDS, 699
load and resistance factor, 77–82
Diagram
axial-force, 6, 89
beam deflection, 394–395
bending-moment, 195–234
deformation, 32–33, 96–97, 100–101,
111–114, 123, 126, 658
internal torque, 149
848