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(Solved): (35%) The buckling equation for the column shown in Figure 3, where \beta _(R) denotes the stiffnes ...



(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

.



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