Advanced Methods of Structural Analysis

Problems 263

7.12.The frame is subjected to uniformly distributed loadq, as shown in Fig.P7.12.
Construct the internal force diagrams. Calculate the reactions of supports. Show the
elastic curve of the frame. Determine the horizontal displacement of the jointC.

q

a

B

A

a EI

EI

C

Fig. P7.12

Ans.MBD

qa^2

32

;RAD

15

32

qa; horC D

qa^4

64 EI

. /:

7.13.The frame is subjected to uniformly distributed loadq, as shown in Fig.P7.13;
parameternis any positive number. Construct the bending moment diagram. Ex-
plain relationship between moments at extreme left and right points of the cross-bar.
Show the elastic curve of the frame. Explain the influence of parametern.

EI

q

h

l

A

nEI B

Fig. P7.13

Ans.RAD

3

4

qh^2

l

.

7.14.The portal frame is loaded by uniformly distributed loadq,asshownin
Fig.P7.14. Calculate the axial forceX 1 in the memberAB. Construct the bending
moment diagram. Determine the horizontal displacement of the cross-bar.