(35%) The buckling equation for the column shown in Figure 3, where
\beta _(R)
denotes
>
the stiffness of the rotational spring at end
B
, is given as:
(\beta _(R)L)/(EI)(kLcotkL-1)-k^(2)L^(2)=0.
(a) Derive the buckling equation. [ Hint: introduce
\theta _(B)
and find the support reactions] (b) Determine the critical load for the case where
\beta _(R)->\infty
. re 3

Question

(35%) The buckling equation for the column shown in Figure 3, where

\beta _(R)

denotes

>

the stiffness of the rotational spring at end

B

, is given as:

(\beta _(R)L)/(EI)(kLcotkL-1)-k^(2)L^(2)=0.

(a) Derive the buckling equation. [ Hint: introduce

\theta _(B)

and find the support reactions] (b) Determine the critical load for the case where

\beta _(R)->\infty

. re 3

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