Formulas for Structural Dynamics: Tables, Graphs and Solutions

Appendix B: Eigenfunctions and Their Derivatives for Multispan Beams with Equal Length and Different Boundary Conditions

TABLES B.1 B.4

Table B.1: Two 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

3.142

0

?31.02

0

4.038

0

?58.89

1

0.05

0.1565

3.103

?1.545

?30.64

0.2007

3.965

?2.925

?57.70

0.95

0.1

0.3091

2.988

?3.051

?29.50

0.3941

3.748

?5.731

?54.15

0.90

0.15

0.4540

2.799

?4.482

?27.64

0.5732

3.396

?8.303

?48.38

0.85

0.2

0.5879

2.542

?5.803

?25.09

0.7316

2.923

?10.54

?40.60

0.80

0.25

0.7072

2.222

?6.981

?21.93

0.8638

2.349

?12.33

?31.09

0.75

0.3

0.8091

1.846

?7.989

?18.23

0.9652

1.698

?13.62

?20.18

0.70

0.35

0.8911

1.426

?8.797

?14.08

1.0330

0.9967

?14.34

?8.268

0.65

0.4

0.9511

0.9704

?9.388

?9.58

1.0650

0.2748

?14.44

4.237

0.60

0.45

0.9877

0.4909

?9.751

?4.847

1.0600

?0.4366

?13.91

16.91

0.55

0.5

1

0

?9.872

0

1.0220

?1.106

?12.75

29.32

0.50

0.55

0.9877

?0.4909

?9.751

4.847

0.9511

?1.702

?10.99

41.08

0.45

0.6

0.9511

?0.9704

?9.388

9.580

0.8532

?2.195

?8.66

51.38

0.40

0.65

0.8911

?1.426

?8.797

14.08

0.7337

?2.559

?5.827

61.28

0.35

0.7

0.8091

?1.846

?7.989

18.23

0.5998

?2.770

?2.558

69.22

0.30

0.75

0.7072

?2.222

?6.981

21.93

UNLIMITED FREE
ACCESS
TO THE WORLD'S BEST IDEAS

SUBMIT
Already a GlobalSpec user? Log in.

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.

Customize Your GlobalSpec Experience

Category: Industrial Valves
Finish!
Privacy Policy

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.