Advanced Methods of Structural Analysis

550 14 Dynamics of Elastic Systems

Ans.

(a)U^2 .kl /T.kl/V.kl/D 0 !coshklcosklD 1 !DklD4:7300I:::

!iD

^2 i

l^2

r

EI

m

;! 1 D

4:73^2

l^2

r

EI

m

;:::;

Xi.x/DC



U.kix/

U.kil/

V.kil/

V.kix/

DC



U.kix/

T.kil/

U.kil/

V.kix/

(b) tanklDtanhkl!klD3:92266I 7:0768I 10:2102; : : :

! 1 D

3:9266^2

l^2

r

EI

m

;! 2 D

7:0768^2

l^2

r

EI

m

; :::

(c) tanklCtanhklD 0 !klD2:3650I 5:4987; ::