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

for indeterminate beam analysis,
461–472
for unsymmetric bending, 295
Microstrain, defined, 31
Minor diameter, 183–185
Minor Poisson’s ratio, 577
Mises equivalent stress, 661–662
Mode shape, 673
Modular ratio, 272
Modulus of elasticity
defined, 48–49
Hooke’s Law and, 56
and Lamé solution, 600
relationship to shear modulus, 57, 562
for selected materials, table, 825–827
Modulus of resilience, 719
Modulus of rigidity
defined, 56
relationship to elastic modulus, 57, 562
for selected materials, table, 825–827
Modulus of toughness, 719
Mohr’s circle
for moments of inertia, 805–808
for strains, 552–554
for stresses, 513–527
Mohr’s Failure Criterion, 662–663
Moment–curvature equation, 243
Moment–curvature relationship, 242, 392
in beams of two materials, 272, 275
in differential equation for column
buckling, 671, 681
Moment of inertia
circular cross sections, 260, 338–339,
636, 640, 644, 648
defined, 243, 794–798
Moment–rotation angle diagram, 724
N
Necking, 51, 52, 55
Net section, 130
Neutral axis, 239, 241–244, 273–275, 282,
292–295, 326–332, 338, 347
for curved bars, 308–309
inclination of, 295
Neutral equilibrium, 669–671, 681
Neutral surface, 239–245, 273, 294, 391
Nominal stress, 129–130, 132–133, 183,
302–303
Noncircular members
torsion of solid, 186–189
torsion of thin-walled hollow, 189–191
Nonuniform bending, defined, 239
Normal strain
Cartesian components, 541
defined, 30–32
flexural, 239–240, 273, 276, 293
maximum and minimum, 547–548
out-of-plane, 557, 567
in pressure vessels, 591–592
principal, 547–548
sign convention, 31, 544–545
transformation, 542–543
Normal stress
axial, 2, 84–85
defined, 2–3, 480
eccentric axial load, 282
flexural, 240–243, 274–276, 293–295,
320–321
and hydrostatic state stress, 565
maximum and minimum, 500–501
on maximum in-plane shear stress
surfaces, 504
nominal, 129–130, 132–133, 302–303
in pressure vessels, 586–591
Saint-Venant’s principle, 84–85
sign convention for, 3, 481, 493
and temperature changes, 575
transformation, 491
and volume changes, 566
Notch, 10, 53, 85, 130, 131, 302–304
Notional failure rate, 79
o
Offset method for yield strength, 51
Orthotropic materials, 576–579
Out-of-plane shear stress, 586–587
Overhang, beam with, 195
Overhanging beam, defined, 195
Overload, defined, 67
P
Parallel-axis theorem
defined, 795–798
for products of inertia, 700
Percent elongation
defined, 54
of selected materials, table, 825–826
Percent reduction in area, 55
Perfectly plastic, 51
Permanent set, 50–51
Pin-ended columns, 670–677
Pin support, defined, 193
Plane of bending, 238
Plane strain, 541–550
equations, 830
transformation of, 542–544
Plane stress, 483–485, 488–490, 566–567
equations, 829–830
transformation of, 491–496
Plastic behavior, 50
Plastic deformation, 50
Poisson’s ratio, 56–57, 563–564
and Lamé solution, 600
major, 577
minor, 577
Polar moment of inertia
defined, 794
parallel-axis theorems for, 795
Polar moment of inertia, defined, 139
Potential energy, 715
Power transmission shafts, 161–164
Press-fit, 609
Pressure
contact, 610, 611
hydrostatic, 564–565
internal and external, 601–605
Pressure vessels, 585–613
Principal angles, 500
Principal moments of inertia
defined, 801–805
by Mohr’s circle, 805–808
Principal planes
bending, 296
cross sections, 296
defined, 500–502, 533
Principal strains
defined, 547–548
by Mohr’s circle, 552–554
Principal stresses
defined, 500
by Mohr’s circle, 513–527
Principle of superposition, 296, 313,
423–424, 461–463, 561,
636, 693
Prismatic, defined, 86
Product of inertia
defined, 294, 799–801
parallel-axis theorem for, 700
in unsymmetrical bending, 294
Projected area, 14, 70
Properties
of an area, 790–808
angle shapes (L shapes), 819–820
channel sections, 813–814
hollow structural sections (HSS shapes),
817–818
metals, 825–826
of plane figures, 791
wood, 827
W-shapes (wide-flange sections),
809–812
WT-shapes, 815–816
Proportional limit, 48
Propped cantilever beam, 445–446
Punching shear, 11–12
851