Advanced Methods of Structural Analysis

572 Appendix

Beam with three equal spans(Odd sections are not shown)

024681012

ll

l

14

16

18

Ta b l e A. 1 7

Influence lines for bending moments and shear forces

Positionof the loadP

D

1

Ordinates of influence lines of bending moments at sections (factor

l)

Ordinates of Inf. Lines

123456789

Q

0

Q

right 6

0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

1.0000

0.0

1

0.1318

0.0967

0.0618

0.0267



0:0083



0:0432



0:0342



0:0252



0:0162

0.7901

0.0540

2

0.0980

0.1960

0.1273

0.0585



0:0102



0:0790



0:0625



0:0461



0:0296

0.5877

0.0987

3

0.0667

0.1333

0.2000

0.1000

0.0



0:1000



0:0792



0:0583



0:0375

0.4000

0.1250

4

0.0391

0.0782

0.1174

0.1565

0.0289



0:0987



0:0782



0:0576



0:0370

0.2346

0.1234

5

0.0165

0.0329

0.0495

0.0659

0.0826



0:0677



0:0536



0:0395



0:0254

0.0990

0.0846

6

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.00/1.00*

7



0:0095



0:0190



0:0285



0:0379



0:0474



0:0569

0.0872

0.0644

0.0418



0:0569

0.8639

8



0:0132



0:0263



0:0395



0:0526



0:0658



0 :

0789

0.0364

0.1516

0.1002



0 :

0789

0.6913

9



0:0125



0:0250



0:0375



0:0500



0:0625



0:0750

0.0083

0.0917

0.1750



0:0750

0.5000

10



0:0090



0:0181



0:0271



0:0362



0:0452



0 :

0543



0:0028

0.0487

0.1002



0:0543

0.3087

11



0:0044



0:0088



0:0131



0:0175



0:0219



0:0263



0:0036

0.0191

0.0418



0:0263

0.1361

12

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

13

0.0028

0.0057

0.0085

0.0113

0.0141

0.0169

0.0028



0:0113



0:0254

0.0169



0:0846

14

0.0041

0.0082

0.0123

0.0165

0.0206

0.0247

0.0041



0:0165



0:0370

0.0247



0:1234

15

0.0042

0.0083

0.0125

0.0167

0.0208

0.0250

0.0042



0:0167



0:0375

0.0250



0:1250

16

0.0033

0.0066

0.0099

0.0132

0.0165

0.0197

0.0033



0:0132



0:0296

0.0197



0:0987

17

0.0018

0.0036

0.0054

0.0072

0.0090

0.0108

0.0018



0:0072



0:0162

0.0108



0:0540

18

0.0

0.0

0.00

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0