Advanced Methods of Structural Analysis

Problems 205

Ans.vertD

1024

EI

.#/I horD

192

EI

.!/I CD

192

EI

.clockwise/I

DD

120

EI

.counterclockwise/.

6.25.The portal simply supported frame is subjected to horizontal uniformly dis-
tributed loadqD 4 kN=m, as shown in Fig.P6.25. Calculate the horizontal displace-
ment of cross-barCD.

5m

C

A B

l=10m

EI h=6m

1 EI 3

EI 2 D

Fig. P6.25

Ans.CDhor D

1080

EI 1

C

1440

EI 2

.

6.26.A three-hinged frame carrying uniformly distributed loadq D 4 kN=mis
shown in Fig.P6.26. The hingeCis located at the middle spanAB. The flexural
stiffness of each member is shown in design diagram. Compute the mutual angular
rotation of pointsEandDand horizontal displacement of the cross-barED.

A B

q

l=10m

EI 1 EI 3

EI 2

EDC

h=6m

Fig. P6.26

Ans.EDD

108

EI 1

C

72

EI 3

I horEDD

324

EI 1

C

36

EI 2

C

21:6

EI 3

.

6.27.Design diagram of the three-hinged frame with elastic tie is presented in
Fig.P6.27. The bending stiffness of all members isEI, the axial stiffness of the
tie isEA. Determine the verticaldisplacement at pointC. All dimensions are in
meters.