Index 593
Statically indeterminate
arches, 237–243, 293, 333, 339, 484
beams, 151, 215, 222–224, 280, 294, 331,
358, 369, 393, 435, 436, 516, 546
displacement computation, 146, 147, 159,
164, 170, 171, 175, 176, 179–181,
185, 189, 193, 195, 236–238, 240,
241, 243, 361, 502
frames, 157, 158, 212–214, 224–233, 273,
280, 294, 296, 302, 313, 353, 547
trusses, 72, 233–237, 257, 258, 325,
339–343, 358, 410–412, 418
Stiffness matrix
global coordinate, 369–371, 390–392, 395,
398, 401, 405, 409, 412, 415
local coordinate, 369–371, 381, 387–390,
395, 398, 399, 404, 409, 412, 414,
415
Strain energy method, 189, 190, 195, 454, 456,
457
Structure
geometrically changeable, 3, 5, 8–13, 47,
59, 69, 212, 213, 273, 382, 414, 515
geometrically unchangeable, 3, 5–6, 9–13,
39, 41–43, 56, 58, 62, 65, 69, 77,
78, 97, 211, 212, 233, 272, 273, 515
instantaneously changeable, 5–11, 435, 437
instantaneously rigid, 5
statically determinate, ix, 15, 28, 36, 39,
45, 62, 97, 165, 170, 211, 216, 220,
244, 325, 339, 413, 425, 429, 517
statically indeterminate, ix, 16, 28, 36, 165,
189, 191–193, 211, 212, 214, 216,
217, 219, 222–244, 246, 251, 257,
271, 272, 275, 323–325, 344, 345,
355, 358, 364, 382, 384, 413, 414,
427, 430, 432, 448, 516, 517
Substitute bar method, 69–71
Superposition principle, xxiii, 27, 28, 69,
214–217, 220, 225, 226, 243–245,
250, 257, 259, 276, 290, 299, 305,
435, 437, 494, 496
Symmetrical frames, 302, 303, 312, 546, 549
T
Temperature changes, 40, 73, 145, 159,
165–170, 195, 211, 219, 228,
251–269, 271, 293, 303, 369, 372,
374, 375, 414, 427
Thrust, 62–64, 66–68, 72, 76, 78, 79, 81,
82, 84, 86–88, 90–93, 97–106,
109–119, 122–126, 128–130,
133–143, 175, 176, 242, 335, 338
Trapezoid rule, 178, 179, 182, 503
Trusses analysis
classical methods, 68
elastic load method, 31
force method, 233–237
influence lines, 50–53
Trusses general
fundamental conception, 72
kinematical analysis, 56–57
statically indeterminacy, 234, 235
Trusses generation
complex, 47, 49
compound, 47–49
simple, 47
with subdivided panels, 47, 54–61
Trusses specified types
Baltimore truss, 57–61
K-truss, 75
Pratt truss, 54, 57
three-hinged, 61–64, 68
Warren truss, 57–61
Wichert truss, 49, 68–70, 72U
Unit displacements
computations, 237, 238, 240–242
dimensions, 160, 171, 280, 386
Unit reactions
computations, 277–285, 288, 294, 296,
298, 300, 345, 353, 500, 534, 536
dimensions, 280
Unit state
displacement method, 278, 279, 295, 301
force method, 224, 225, 227, 228, 240, 241,
243–245, 253–256
mixed method, 316–318
Unknown
antisymmetrical, 303, 305, 335, 336
displacement method, 280, 390, 391
force method, 211–214
mixed method, 313–314
symmetrical, 303, 305, 333, 336V
Vereshchagin’s rule
Simpson rule, 178–181, 241, 245
Trapezoid rule, 178, 179, 182
Vibration methods
displacement method, 520–521, 530–538
Krylov–Duncan, 543–550
separation variable, 541W
Winkler, 271
Winkler Work
external forces, 452
internal forces, 162, 163, 169, 248