(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
.