Advanced Methods of Structural Analysis

560 Appendix

Ta b l e A. 6

Reactions of uniform beams with elastic supports (

k

and

krot

are the stiffnesses of the supports)

No

Loading conditions

Reactions and bending moment diagrams

Expressions for bending moments and reactions

1

jA

=1

jA

=1

l

EI

k

RA

M

A

M

A

RB

M

A

D

3 EIl

1

1

C

3 EIkl

3

R

A

D

R

B

D

3 EIl

2

1

1

C

3 EIkl

3

2

krot

jA

=1

EI l

RA

RB

M

A

M

A

M

B

M

B

M

A

D

3 EIl

1

C

krot

l

3 EI

1

C

krot

l

4 EI

R

A

D

6 EIl

2

0 B@

1



(^32)
C
krot
l
EI
4
C
krot
l
EI
1 CA
3
k
1
M
A
RA
RB
M
A
M
A
D
3 EIl
2
1
1
C
3 EIkl
3
R
A
D
R
B
D
3 EIl
3
1
1
C
3 EIkl
3
(continued)