Advanced Methods of Structural Analysis

Problems 417

l

2 4

l

8 10

B

6

Fig. P11.4

11.5a,b.The frames in Fig.P11.5are subjected to uniformly distributed loadq.
Construct the bending moment diagrams. Present your answer in terms ofEI,l,
andq. Compare distribution of bending moment within the columns and explain
their difference.

a q

EI

l

h=l

2 EI

a

b

b q

l

2 EI

EI

a

b

Fig. P11.5

Ans..a/MaD

ql^2

72

;MbD

ql^2

36

I.b/MaDMbD

ql^2

56

11.6a,b.The combined structures are subjected to load as shown in Fig.P11.6a, b.
Construct the internal force diagrams. Calculate the reactions of support and pro-
vide check of results. For vertical members are used the steel wide-flange shape
W 150 22.ID12:1 106 mm^4 , for tie rod;4:3cmI

A

ID^125 m

 2 .

a

F=100kN

EI

l=6m

h=8m

B 2 EI

A

EI EA

C

D

b q= 10 kN/m

EI

l=6m

h=8m

B 2 EI

A

EI EA

C

D

Fig. P11.6

Ans..a/NACD165:8 .kN/I.b/NACD4:663 .kN/

11.7a,b.The portal frames with absolutely rigid cross bar are subjected to load
as shown in Fig.P11.7a, b. Calculate the horizontal displacement of the cross-bar.
Construct the internal force diagrams. Calculate the reactions of support and axial
forceSin the cross bar. Provide your answer in terms ofEI,h, and given load.