Formulas for Structural Dynamics: Tables, Graphs and Solutions

TABLES B.5 B.8

Table B.5: Three-span beam.

First and second eigenfunctions

First Span

?

X 1

X ? 1

X ? 1

X ? ? 1

X 2

X ? 2

X ? 2

X ? ? 2

0

0.000

0.000

11.35

?41.57

0.000

0.000

25.07

?106.3

1

0.05

0.0133

0.5153

9.269

?41.54

0.0291

1.121

19.76

?106.1

0.95

0.1

0.0498

0.9269

7.197

?41.30

0.1076

1.976

14.47

?105.1

0.90

0.15

0.1042

1.235

5.145

?40.69

0.2223

2.569

9.280

?102.3

0.85

0.2

0.1716

1.442

3.136

?39.59

0.3603

2.907

4.280

?97.33

0.80

0.25

0.2468

1.550

1.196

?37.92

0.509

3.003

?0.4117

?89.92

0.75

0.3

0.3250

1.563

?0.6461

?39.79

0.6568

2.874

?4.670

?79.97

0.70

0.35

0.4017

1.488

?2.358

?39.73

0.793

2.545

?8.368

?67.58

0.65

0.4

0.4725

1.330

?3.909

?29.23

0.9085

2.048

?11.39

?53.03

0.60

0.45

0.5335

1.100

?5.272

?25.20

0.9956

1.419

?13.64

?36.74

0.55

0.5

0.5814

0.8066

?6.422

?20.73

1.049

0.6978

?15.05

?19.26

0.50

0.55

0.6133

0.4616

?7.340

?15.94

1.065

?0.0710

?15.56

?1.174

0.45

0.6

0.6269

0.0767

?8.013

?10.97

1.042

?0.8428

?15.16

16.85

0.40

0.65

0.6205

?0.3355

?8.436

?5.968

0.981

?1.573

?13.88

34.15

0.35

0.7

0.5931

?0.7627

?8.612

?1.101

0.8858

?2.217

?11.77

50.12

0.30

0.75

0.5442

?1.193

?8.551

3.461

0.7614

?2.737

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