Advanced Methods of Structural Analysis

204 6 Deflections of Elastic Structures

6.22.The frame is subjected to horizontal forcePacting at pointK(Fig.P6.22).
The numbers 1 and 2 in the circles show the relative stiffness, which mean the
bending stiffness 1EIand 2EI, respectively. Determine the horizontal displacement
of supportC.

1

l

B C

A

h

2

P

0.5h

K

Fig. P6.22

Ans.horC D

Ph^2 l

12 EI

C

11

48

Ph^3

EI

.

6.23.Compute the mutual linear displacement and mutual angular displacement
at pointsAandBfor structure shown in Fig.P6.23. Bending stiffness isEI 1 for
horizontal element andEI 2 for vertical ones.

q

A

h

l

B

EI 1

EI 2

Fig. P6.23

Ans.ABD

ql^3 h

12 EI 1

I ABD

ql^3

12 EI 1

.

6.24.Design diagram of the frame is shown in Fig.P6.24. The relative stiffnesses
are shown in the circles. The frame is subjected to uniformly distributed loadqD
4 kN=m. Compute the vertical and horizontal displacements at pointC, and angular
displacement at pointsCandD.

A B

q=4 kN/m

10m

8m C

6m

(^22) 4m
1
1
1
D
Fig. P6.24