Advanced Methods of Structural Analysis

206 6 Deflections of Elastic Structures

4

C

B

P

A

4

4

2

Fig. P6.27

Ans.CD

64

3



P

EI



1 C

3

32

I

A



.

6.28.Design diagram of a structure is shown in Fig.P6.28. The top part of the
structure presents semicircular bar. Bending stiffnessEI Dconstant for all parts
of the structure. Calculate thehorizontal displacement at pointBdue to horizontal
uniform distribute loadqwhich acts within a portionAE. Hint: for curvilinear part
apply the Maxwell–Mohr integral.

R

h

l =2R

q

EI

A B

Fig. P6.28

Ans.horB D

5

24

qh^4

EI



1 C

6

5

R

h



C 2

R

h

   

.

6.29.The truss in Fig.P6.29is carrying two equal forcesP. The axial stiffness
of all the members isEA. Compute the displacements ofthe all joints of the lower
chord. Apply the elastic load method.

d = 4m

3m

P P

(^12345)
0
Fig. P6.29