Advanced Methods of Structural Analysis

(Jacob Rumans) #1

590 Index


Coordinates
global, 369–371, 377, 390–392, 395, 398,
401, 405, 409, 412, 415
local, 369–371, 377, 381, 387–392, 395,
397–399, 405, 408–409, 412, 415
Critical load (Load unfavorable position), xxii,
4, 31, 33, 450–456, 458–462, 464,
467, 469, 474–481, 483, 484, 488,
489, 491, 505, 507–509
Critical load (stability)
critical load parameter, 476, 479


D
Deflection computation
beam-columns, 185
Castigliano theorem, 145
conjugate beam method, 181
double integration method, 148, 181, 194
elastic load method, 185–189, 195, 206
graph multiplication method, 176–185,
195, 202
initial parameters method, 147–158, 181,
189, 194
Maxwell–Morh integral, 147, 159–170,
176, 177, 181, 188, 195, 198, 201,
206
statically indeterminate structures, 158,
165, 189, 193
work–energy method, 195
Deflection types
angular, 146, 147, 149, 150, 159, 161, 162,
167, 170, 171, 176, 191, 192, 194,
204
linear, 145–147, 157, 161, 162, 167, 170,
171, 175, 191, 192, 194, 204
mutual angular, 162, 165, 167, 204, 205
mutual linear, 162, 167, 204
Degree of indeterminacy
kinematical, 272–274
mixed, 313–314
static, 222–244
Degrees of freedom
Chebushev formula, 11–13
for dynamical analysis, 518
for stability analysis, 458
for static analysis, 516
Design diagrams of structures
deformable, 498, 499, 510
non-deformable, 491, 499, 502
Dimensions of
ordinates of influence lines, 31
unit displacements, 280
unit reactions, 279–280


Displacement method
canonical equation, 269, 276–290
conception, 275–276
influence lines, 271, 290
kinematical indeterminacy, 272–274
matrix form, 292
primary system, 274–275
primary unknown, 274–275
settlements of support, 296–299
stability analysis, 271
Dummy load method
actual state, 162
unit state, 162

E
Elastic curve, 146–148, 150–159, 181, 183,
185, 193, 194, 196–198, 207, 216,
226, 227, 229, 231, 261–263, 265,
272, 275, 277, 278, 281, 282, 288,
298, 301, 303, 307, 309, 310, 312,
358, 359, 361–363, 367, 372, 451,
461, 463, 472–474, 479, 481, 483,
484, 492, 495, 497, 507, 519, 535,
563
Elastic load method, 147, 164, 185–189, 195,
206, 341, 343, 361
Elastic supports, 154, 159, 198, 260, 262,
268, 275, 309, 453–456, 458,
459, 461–471, 473, 485, 490–491,
504–507, 516, 553, 560
Errors of fabrication, 145, 170–176, 211, 238,
271, 292, 296, 300–302, 426

F
Failure, 40, 425, 426, 430–433, 435, 439,
441–445, 449, 452, 498
Fictitious beam,186, 188, 189, 194, 341, 342
Finite element method, 370, 407
Flexibility matrix, 521, 528
Foci points, 363, 364, 575–576
Focus, 363, 575, 576
Force method
canonical equation, 217–222
change of temperature, 251–259, 372
concept, 371
conception, 217–219
degree of redundancy, 211–214
errors of fabrication, 238
fixed loads, 393
influence lines, 399
matrix form, 217
primary system, 211–214
primary unknowns, 211–214
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