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

G
Gage length, 46, 47, 51, 54
Gears, 154–158
Gear pitch, 155–156
Gear ratio, 155–158, 163
Generalized Hooke’s law
equations, 830
for isotropic materials, 560–567
and Lamé solution, 600
for orthotropic materials, 576–579
and temperature effects, 574–576
General state of stress, 532–538
Geometry-of-deformation equation
for axial members, 90, 96–98, 103,
106–109, 111–114, 122–124
for flexural members, 461
for torsion members, 167, 168, 170,
171, 173, 177–178
Groove, 3, 53, 85, 183, 303–304
Gyration, radius of, defined, 673
H
Hertz, defined, 161
High-velocity impact, 729
Hollow Structural Sections (HSS Shapes),
255, 256, 817–818
Homogeneous material, defined, 41, 86
Hooke’s Law
for biaxial state of stress, 566–567
generalized, for orthotropic materials,
576–579
for general state of stress, 560–567
for plane state of stress, 566–567
for shear stress, 56
and temperature effects on generalized,
574–576
for triaxial state of stress, 560–562
for uniaxial state of stress, 56
Hoop stress (circumferential stress),
588–591
Horsepower, defined, 161
HSS Shapes (Hollow Structural Sections),
255, 256, 817–818
Huber–von Mises–Hencky theory, 658
Hydrostatic pressure, 564–565
Hydrostatic state stress, 564–565
Hydrostatic stress, defined, 660
Hz, defined, 161
i
Ideal column, 670
Impact, defined, 67
Impact factor, 730
for freely falling weight, 730
850
for weight moving horizontally, 731
Impact Force
for freely falling weight, 730
for weight moving horizontally, 731
Impact load, 728–742
Inclination of the neutral axis, 295
Indeterminacy, degree of, 446
Inelastic strain, 50
Inelastic strain energy, 717
Inertia, moment, 243, 794–798
Infinitesimal element, 563
Inflection point, 684–685
Integration method, 396–398, 447–452
Interaction formula, 708
Interaction method, 708
Interference fits, 609–614
Intermediate columns, 675, 697–699
Internal force, 1–3, 6–7, 86–87, 106,
119, 282
Internal pressure, 601–604, 606
Internal torque diagram, 149
Internal work, 715, 717
Invariance, 493, 505, 544
Isotropic materials
defined, 41
generalized Hooke’s law, 560–567
J
Joint displacement, 101
K
Keys, shear, 10–11
l
Lamé solution, 599–601
Lateral bracing, 674, 686–687
Limit states, 81
Live load, 66–67
Load
centric, 23, 282
concentrated, 195
critical buckling, 670, 672–673, 675
dead, 66
distributed, 195
eccentric, 282
Euler buckling, 672–673
live, 66–67
punching shear, 11–12
shear
double, 9
punching, 11–12
single, 8
snow, 67
torsional, 141, 166, 183–185
transverse, 237
ultimate, 80–81
wind, 67
Load and resistance factor design (LRFD),
77–82
Load–deflection diagram, 693
Load–deformation diagram, 717
Load diagram, 207, 210, 211
Load factor, 78, 80–81
Load functions, 410–412
using discontinuity functions, 227–234,
413–420, 454–459
Local instability of columns, 699
Long columns, 675, 697–699
Longitudinal axis, 238
Longitudinal plane of symmetry, 237
Longitudinal stress, 588–591, 605
Low-velocity impact, 729
LRFD (load and resistance factor design),
77–82
Lüder’s lines, 657
M
Macaulay brackets, 224
Macaulay functions, 224–225
canceling, 227
constants of integration, 226–227, 433
graphs of, 225
integrals of, 226–227
ramp function, 225
step function, 224–225
Major diameter, 183
Major Poisson’s ratio, 577
Materials
selected properties, table, 825–827
Matrix, in composite materials, 577
Maximum deflection of beams, by
integration method, 396–407
Maximum-distortion-energy theory of
failure, 658–661
Maximum in-plane shear strain, 547–548
Maximum in-plane shear stress,
502–505
Maximum normal stress, 129, 140–141,
479, 500, 585
Maximum-normal-stress theory of
failure, 662
Maximum shear stress, 566, 602, 608
Maximum stress, 601–604
Median line, thin-walled tubes, 190
Method of sections, defined, 2
Method of superposition
for combined stresses, 636
for deflections of determinate beams,
423–439