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

Index
A
Absolute maximum shear strain,
547–548, 557
Absolute maximum shear stress, 504–505,
526–527, 537
Allowable stress, defined, 68
Allowable stress design (ASD), 68–69, 77,
697–698
Allowable stress method, 707–708
American standard channels (C-shapes),
813–814
Angle of rotation, 411
Angle of twist
in circular shafts, 137–138, 142–144
in noncircular sections, 187
Angle sections (L-shapes), 819–820
Annular element, 598–599
Arbitrary cross section, defined, 293
ASD (allowable stress design), 68–69, 77,
697–698
Aspect ratio, 187, 265–267
Assumptions
for bending due to eccentric axial load,
282
in centric loading formula, 86–88
in elastic curve equation, 395
in flexure formula, 240–241, 245
in shearing stress formula, 326–327,
338–339
in torsion formula, 136–137
for unsymmetric bending, 292–293, 295
Axial deformation, 83–134, 720–722, 828
Axial force, defined, 2
Axial force diagram, 89
Axial loading, 2–7, 86–134, 282–287
Axially loaded members
Saint-Venant’s principle and, 84–85
statically determinate, 2–7, 86–103,
282–287
statically indeterminate, 103–129
Axial strain, 31, 56, 86–87, 659
Axial stress, 2, 31, 86, 282–285, 586–587,
591, 671, 708
B
Beam(s)
built-up, 346–352
composite, 270–280
deflection of, 391–441
elastic curves for, 392–407
flexural stresses in, 243–267, 270–280,
621–631
flexural stress formula for, 243–245
introductory design of, 265–268
neutral axis in, 239–242
normal stresses in, 243–267, 270–280,
621–631
principal stresses in, 621–631
section modulus of, 244–245, 265–268
shear flow in, 346–352
shear stresses in, 325–343
shear stress formula for, 328, 332
types of, 194–195, 445–446
Beam deflection diagram, 394–395
Beam deflections
equations, 829
statically determinate
by integration methods, 394–412
by superposition methods, 423–439
using discontinuity functions, 413–420
statically indeterminate
by integration methods, 447–452
by superposition methods, 461–472
Bearing stress, 12–14, 69–70
Bending
of curved bars, 306–315
nonuniform, defined, 239
pure, defined, 238–239
Bending-moment
diagrams, 195–234
equations, 195–204, 829
relationship to load and shear force,
205–211
sign conventions for, 196, 244
Bending strain, 271–272, 292–293
Bending stress (flexure stress)
assumptions in flexure formula,
240–241, 245
in beams of homogeneous materials,
240–262
in beams of two materials, 270–280
in curved bars, 306–315
economic sections
selecting, 266
standard structural steel shapes and,
265–266
flexure formula, 243–245
section modulus, 245, 255, 260,
265–268
in unsymmetric sections, 292–300
847