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

Torsion
of circular shafts, 135–151
equations for, 828–829
of noncircular solid sections, 186–189
of rectangular bars, 186–189
of thin-walled hollow sections, 189–191
Torsional deformations, 142–143, 722–723
Torsional loading, 141, 166, 183–185
Torsional shear strain
in circular sections, 137–138
in noncircular solid sections, 187
Torsional shear stress
in circular sections, 138–139
in noncircular sections, 186–191
Transformation equations
for plane strain, 542–544
for plane stress, 491–492
for three-dimensional stress, 532, 538
Transformed cross section, 273–276
Transformed-section method, 273–280
Transverse load, 237
Tresca criterion, 657
Triaxial stress, 588
True stress, 51, 53
Twist, angle of, 137–138, 142–144
0.2% offset method for yield strength, 51
Two-force member, defined, 86
u
Ultimate load, 80–81
Ultimate strength
for selected materials, table, 825–826
Ultimate strength, defined, 51
Uniaxial, defined, 22, 56
Unit volume change, 563–564
Unstable equilibrium, 669–670
Unsymmetric bending, 292–300
inclination of the neutral axis, 295
symmetrical sections, 295
Upset threads, 46
U-shaped
cross section, 322–324, 349, 353
groove, 184, 304
notch, 131, 303
V
Virtual work, 750–754
principle of, 752–754
Virtual-work method
applied to beams, 762–771
applied to trusses, 755–762
applied to two-bar assembly, 752–754
Volumetric strain, 563
von Mises equivalent stress, 661–662
W
Warping of cross sections in shaft due to
torsion, 136
Watt, defined, 161
Weak axis, 255
Web, defined, 255
Wide-flange sections (W-shapes),
255–256, 809–812
Wind load, 67
Wood, typical properties of, 827
Work
defined, 716
related to axial member, 716–717, 746,
750–754
related to flexural member, 746,
751–752, 763
units of, 717
Work–energy method, for single loads,
746–748
Work hardening, 47, 49–50
Y
Yield, 55
Yielding, defined, 51
Yield point, defined, 51
Yield strength
defined, 51
for selected materials, table, 825–826
Yield stress, 68
Young’s modulus, 49
854