Advanced Methods of Structural Analysis

Problems 203

Ans.AD

1

k

ql^4

128 EI

C

15

128

ql^4

EI

D

ql^4

8 EI

; D

1

16k

C

15

16

:

6.19.Uniform simply supported beam is subjected to concentrated forceP as
showninFig.P6.19. Determine the verticaldisplacement at pointCand slope at
supportsAandB.

B

C

A

P

a

l

b

Fig. P6.19

Ans.ycD

Pa^2 b^2

3 EIl

;AD

Pab.lCb/

6 EIl

;BD

Pab.lCa/

6 EIl

:

6.20.Two span statically determinate beam is subjected to uniformly distributed
loadqD 3 kN=m. Parameters of the beam arel 1 D 6 m,l 2 D 5 m,aD 2 m
(Fig.P6.20). Determine the vertical displacement at pointCand slope at supports
AandD.

B

C

A

q

l 1 a l 2

D

Fig. P6.20

Ans.ycD

80

EI

.down/; AD

15

EI

.counter clockwise/; DD

30

EI

.clockwise/.

6.21.Design diagram of the frame is presented in Fig.P6.21. The bending stiffness
for all members isEI. Determine the horizontaldisplacement at pointsAandB.

l

h

q

B

0.5h

A

Fig. P6.21

Ans.horA D

ql^2 h^2

16 EI

.right/; horB D

ql^2 h^2

4 EI

.right/.