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

Q
Q section property, 327–332, 338, 347
R
Radial displacement, 606
Radial interference, 609
Radial stress, 132, 587, 591, 600–601,
603–605, 607
Radius of curvature, defined, 239
Radius of gyration, defined, 673
Ramp function, 225
Rankine’s theory, 662
Recovery, elastic, 50
Redundant reactions, 446
Redundants, 446–447, 461–463
Released beam, 446–447, 461–465
Reliability analysis, 78
Residual strain, 50
Residual stress, 697
Resistance, in LRFD, 77
Resistance strain gage, 555–556
Resultant stress, 532–533, 535
Rigid bar, defined, 32
Rigid-body displacement, defined, 29
Rigid element, defined, 4
Rigidity, modulus of
defined, 56, 138
relationship to elastic modulus, 57, 562
for selected materials, table, 825–827
Roller supports, defined, 194
Rosette analysis, 555–557
Rotation, angle of, 411
rpm, defined, 162
S
Safety, factor of, 68–69
in AISC column formulas, 697–698
Saint-Venant’s Principle, 84–85, 135,
143, 283
Saint-Venant’s theory of torsion, 186
Secant formula, 690–695, 707
Second moment of area, 139, 243, 790, 794
Section modulus, 245, 255, 260, 265–268
Section plane, defined, 2
Serviceability limit states, 81
Service loads, defined, 68
Shear, direct
double, 9
punching, 11–12
single, 8
Shear area, 8
Shear center
for channel section, 374–382
defined, 373–374
852
for sections consisting of two rectangles,
384–385
for semi-circular section, 383–384
Shear coupling coefficients, 577
Shear flow
in built-up beams, 346–352
in closed sections, 189–191, 362–363
due to torsion, 189–191
in thin-walled sections, 359–362
in thin-walled tubes, 189–191
Shear force
defined, 7–8
diagrams, 196–204, 205–220, 224–234
equations for, 829
relationship to load and bending
moment, 205–211
Shear-force diagram, 196–204, 205–220,
224–234
Shear key, 10–11
Shear modulus
defined, 56
relationship to elastic modulus,
57, 562
for selected materials, table, 825–826
Shear strain, 30, 37–38, 541–546
absolute maximum, 547–548, 557
maximum in-plane, 547–548
relationship to shear stress, 56, 562
sign convention for, 38, 544–545
torsional
in circular sections, 137–138
in noncircular sections, 187
transformation equations, 543–544
Shear stress
absolute maximum, 504–505,
526–527, 537
direct shear, 7–9
equality on perpendicular planes, 24,
482–483
horizontal, 327–329, 331–332,
338–339, 621
in circular sections, 338
in flanged sections, 338–339
in rectangular sections, 331–332
maximum, 566, 602, 608
maximum in-plane, 502–505
nominal, 183
out-of-plane, 586–587
relationship to shear strain, 56, 562
sign convention for, 493
strain-energy density for, 719–720
in thin-walled sections, 355–359
torsional
in circular sections, 138–139
in noncircular sections, 186–191
transformation equations, 491–492
transverse, 328, 331–332, 338–339,
621, 623
in circular sections, 338
in flanged sections, 338–339
in rectangular sections, 331–332
Short columns, 675, 697, 698
Shrink-fit, 609
Sign convention
for angle of twist, 144
for axial deformation, 86
for beam deflections, 394
for bending moments, 196, 244
for curvature, 240
for flexural strain, 240
for internal bending moment, 196, 244
for internal shear force, 196
for internal torques, 143–144
for Mohr’s circle (stress), 515
for normal strains, 31, 544–545
for normal stresses, 3, 481, 493
for shear-force and bending-moment
diagrams, 196
for shear strains, 38, 544–545
for shear stresses, 493, 515
for torsional rotation angles, 144
Significant digits, 3–4
Similar triangles, 33, 96, 108, 111, 123
Simple beam, defined, 194–195
Simply supported beam
deflection formulas, 822
Simply supported beam, defined, 194–195
Single shear, defined, 8
Singularity functions, 224
for concentrated forces, 225–226
for concentrated moments, 225–226
Slenderness ratio, defined, 673, 675, 685
Snow load, 67
Spherical pressure vessels, 586–588
Stable beam, 446
Stable equilibrium, 667–671
State of stress, defined, 481
Statically indeterminate members
with axial loads, 103–115, 119–126
with flexural loads, 445–452, 461–472
with elastic supports, 468–472
by integration methods, 447–452
by superposition methods, 461–472
using discontinuity functions, 454–459
with torsional loads, 166–180
Stem, defined, 255
Step function, 224–225
Strain
absolute maximum shear, 547–548, 557
axial, 31, 56, 86–87, 659
compressive, 31
defined, 30