Advanced Methods of Structural Analysis

(Jacob Rumans) #1

208 6 Deflections of Elastic Structures


P =1

ul=l/4 υl= 3 l/4

k

State 1d (^) kj 1
j
State 2
rjk
Fig. P6.32
Ans.ıkjDrjkI rjkDu^2 .1C2/D5=32; ıkjD5=32:
6.33.A fixed–fixed beam is subjected to unit angular displacement of the right sup-
port (pointj). Calculate the vertical displacement of pointklocated atl=4from the
left support. The length of the beam island flexural stiffness isEI.(Hint:usethe
displacement and reactions reciprocal theorem).
P =1
ul=l/4 υl= 3 l/4
d (^) kj
State 2 rjk
k
State 1
1
j
Fig. P6.33
Ans.
3
64
l.

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