Index 591
resolving equations, 387
settlement of supports, 246–251, 379
static indeterminacy, 222–244
symmetrical unknowns, 333
Fourier method, 541–543
Frames
plastic analysis, 441–445
with sidesway, 226, 473, 481
stability, 471–483
statically determinate, 147, 161, 165, 167,
168, 170, 171, 176, 183, 189, 195,
201, 203
statically indeterminate, 157, 158,
212–214, 224–233, 273, 294, 296,
313, 353, 547
symmetrical, 302, 303, 320, 546, 549
three-hinged, 205, 213
Frequency of free vibration
displacement method, 530–538
force method, 520–530
Krylov–Duncan method, 543–546
separation variable method, 541
G
Generalized coordinates, 452, 458–460, 531
Generalized forces, 166, 167, 170, 171, 175,
195
Graph multiplication method,
for beam-columns, 502–504
Gvozdev theorem, 193
H
Helmholtz, 189
Henneberg method, 69
Hinge
simple, 3, 11–13, 41
multiple, 3, 12
I
Indirect load application, 33–36, 46, 52, 88,
94, 96, 103, 364
Influence lines method
analytical construction, 15–26
application, 27–33
connecting line, 34
indirect load application, 33–35
models, 30, 31, 33
Initial parameters method, 147–158, 466–472,
491, 494–498, 504
Interaction scheme, 40–42
K
Kinematical analysis
degrees of freedom, 11–13
geometrically changeable structures, 3
geometrically unchangeable structures, 3,
5–6
infinitesimally changeable structure, 5
infinitesimally rigid structure, 5
redundant constrains, 6
Kinematical method for influence lines,
358–363
Krylov–Duncan functions, 543–550L
Leites, 271
Leites Load
conservative (nonconservative), 451
critical, xxii, 4, 31, 33, 450–456, 458–462,
464, 467, 469, 471, 474–481, 483,
484, 488, 489, 491, 505, 507–508
dynamical, xxii, 519
fixed (static), xxiii, xxiv,15, 16, 27–30,
35–38, 49, 67, 70, 83, 92, 97, 111,
159–165, 176, 242, 246, 306, 324,
330, 331, 338, 342, 344, 345, 353,
364, 367, 368, 393, 394, 415, 451,
518
moving, xxii, xxiv, 15, 16, 27–38, 42, 50,
53, 58, 66–68, 70, 72, 76, 87, 100,
323, 324, 326, 339, 344, 345, 358,
361, 363, 364, 379, 400, 401, 403,
514, 518
seismic, xxii, 514
tracking, 451
unfavorable,xxiii,15, 30–33, 358
Load path (interaction diagram), 41–42
Load unfavorable position, 15, 30–33, 358
Loss of stability (buckling), 451, 452,
458–460, 480, 484, 486, 487, 489M
Manderla, 271
Manderla Matrices
ancillary, 372–378
deformation, 386–387
flexibility, 521, 528
modal, 522–530, 532–538, 547–549
static, 381–385
stiffness, 387–390
Matrix stiffness method, 369–419
change of temperature, 372
concept, 371