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

load, 207, 210, 211
load–deflection, 693
load–deformation, 717
moment–rotation angle, 724
rotation angle, 150
shear-force, 196–204, 205–220, 224–234
stress–strain, 45–55
torque–rotation, 722
Differential equation of the elastic curve
for beams, 392–395
for columns, 671, 680–681
Digits, significant, 3–4
Dilatation, 563
Direction cosines, 534–535
Discontinuity expressions, 227–234,
413–420, 454–459
Discontinuity functions, 224–228
constants of integration, 227, 413–420,
455, 458
integrals of, 226–227
shear-force and bending-moment
diagrams, 224–234
table of, 228
Displacement, defined, 29–30
Displacement vector, 542–543
Distortion, defined, 30
Distributed load, defined, 195
Double-integration method, 396–398, 447
Double shear, defined, 9
Doubly symmetric sections, defined, 245
Ductile materials, 24, 46, 52–54, 133, 141,
657–662
maximum-distortion-energy failure
theory, 658–661
maximum-shear-stress failure theory,
657–658
Mises equivalent stress, 661–662
Ductility
defined, 46
of selected materials, table, 825–826
Dynamic force, 728–730
Dynamic load, 728
E
Eccentricity, 282–284, 628, 690–695,
707–713
Eccentricity ratio, 694–695
Eccentric loading, 282, 690–695
Effective column length, 683–688
Effective-slenderness ratio, defined, 685
Elastic behavior, defined, 50, 55
Elastic curve, defined, 237, 392
using discontinuity functions, 415, 418,
420, 456, 459
Elastic curve, differential equations
for beams, 392–395
for columns, 671, 680–681
Elastic flexure formula, 243–245
Elasticity, defined, 48
Elasticity, modulus
of selected materials, table, 825–827
Elasticity, modulus of
defined, 48–49
and Lamé solution, 600
Elastic limit, defined, 50–51
Elastic modulus
defined, 48–49
relationship to shear modulus, 57, 562
Elastic recovery, defined, 50
Elastic strain, defined, 50
Elastic strain energy
for axial deformation, 717, 720–722
for axial loading, 659
due to distortion, 660–661
due to hydrostatic stress, 660
due to volume change, 660
for flexural deformation, 724–727
for torsional deformation, 722–723
for triaxial loading, 659
Elastic support, 468
Elastic torsion formula, defined, 139
Elastoplastic material, 51
Electrical-resistance strain gages, 555–556
Elongation
axially loaded members, 86–129
Elongation, percent
defined, 54
of selected materials, table, 825–826
Empirical column formulas, 696–704
End conditions, for columns, 684
Energy, units of, 717
Engineering stress, 53
Epoxy materials, 577–579
Equation of elastic curve, 392
Equilibrium, in cylinders, 598–599
Equivalent static load, 730–731
Euler buckling load, 672–673
Euler buckling stress, 673–675
Euler’s formula, 672–673
Extensometer, 46
External pressure, 601–606
External work, 715, 717, 718
F
Fabricated (built-up) beams, shear in,
346–352
Factor of safety, defined, 68–69
Failure, defined, 67
Failure theories
equations, 606–609
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
Fasteners, 348
Fastener force–spacing relationship, 348
Fastener stress–spacing relationship, 348
Fiber-reinforced epoxy materials,
577–579
Fibers, longitudinal, 238
Fillets, 3, 53, 85, 130, 131, 133, 184, 256,
298, 303–305, 697
First buckling mode, 673
First moment of area
locating beam neutral surface, 242
locating centroid of area, 790
in parallel-axis theorem, 795
Q section property, 327–332, 338, 347
Fixed-end beam, defined, 446
Fixed-fixed beam, defined, 446
Fixed support, defined, 194
Flange, defined, 255
Flexural deformation, 239–240, 724–727
Flexural loading
combined with centric loading, 282–289
combined with torsional loading,
634–652
Flexural rigidity of beams, 243
Flexural strains, 239–240
Flexural stresses
in beams of homogeneous materials,
240–262
in beams of two materials, 270–280
Flexure formula, 243–246, 829
Force–deformation relationship, 86, 89–90,
96, 103–106, 109, 122, 124
Force-fit, 609
Fracture stress, defined, 52, 53, 55
Free-body diagram method
for flexural stresses, beams, 241–243
for plane stress transformations,
489–490
for shear stresses on oblique planes of
shafts, 140–141
for stresses in cylindrical pressure
vessels, 589
for stresses in spherical pressure vessels,
586–587
for stresses in thick-walled cylinders,
598, 599
for stresses on inclined planes, 22–24
Frequency, shaft rotation, 161
849