Redundancy analysis - Computational Analysis and Design of Bridge Structures - page 473

Table 15.7 Summary of governing stresses, strains, and displacements for the two extreme load cases truss model

Maximum elastic
stress (ksi)
(3)

Element of
maximum stress
(4)

Displacement
at x -direction
(in.)
(8)

Displacement
at y -direction
(in.)
(9)

Displacement
at z -direction
(in.)
(10)

Elastic strain
(5)

Plastic strain
(6)

Element
cut
(2)

Load case
(1) Tension Compression Tension Compression Tension Compression Tension Compression

1-a: 1.25Dc +
1.5DW +
1.3*1.33P-82
(at CL) (no cut)
1-b: 0.05Dc +
1.05DW +
1.15*1.33P-82
(at CL) (cut)

No cut 35.45

‒ 37.87

113 73 0.001223

− 0.001306

NA NA 0.440

− 4.10 − 0.859

1 50 − 50 108 108 0.001724 − 0.001724 0.000446 − 0.000450 − 0.382 − 3.51 − 0.821

3 36.47 − 36.58 113 113 0.001257 − 0.001261 NA NA 0.373 − 3.474 0.745

5 32.46 113 113 0.001119 NA NA 0.372

− 32.67 − 0.001127 − 3.499 − 0.777

28 50 − 50 28 11 0.001724 − 0.001724 0.00360 − 0.001672 − 0.406 − 3.646 − 1.487

31 48.132

− 43.23

31 30 0.001660

− 0.001491

NA NA 0.374

− 3.512 − 0.750

2-a: 1.25Dc +
1.5DW +
1.3*1.33P-82
(at L/3) (no cut)
2-b: 1.05Dc +
1.05DW +
1.15*1.33P-82
(at L/3) (cut)

No cut 35.70 − 37.96 126 62 0.001231 − 0.001309 NA NA 0.454 − 3.977 − 0.833

1 49.18 − 49.126 108 108 0.001696 − 0.001694 NA NA 0.383 − 3.385 − 0.777

3 32.38

− 32.43

113 113 0.001117

− 0.001118

NA NA 0.386

− 3.366 − 0.724

5 32.29 − 32.7 128 128 0.001113 − 0.001128 NA NA 0.384 − 3.385 − 0.747

28 50 − 50 11,28 11 0.001724 − 0.001724 0.005962 − 0.004389 0.391 − 3.750 − 2.040

31 43.44 − 43.46 31 12 0.001498 − 0.001499 NA NA 0.385 − 3.406 − 0749

( Continued )