$($a$)$

$($b$)$

L

Figure $($a$)$ shows a slender beam, that is subject to a compressive force, F $.$ At point A $,$ the beam is constralned so that it connot translate the $x$ and $Y$ directions. At point $B,$ the beam Is constrained so that it cannot translate in the $x$ direction only. Figure $(b)$ shows the cross$-$section of the beam. The problem parameters are:

$L=8(m)R=0\mathrm{.}07($m$)$

The beam is made from steel, which has Young's modulus and Poisson's ratio:

$E=200$

$V=0\mathrm{.}3$

A buckling anaylsis was done which found an elgenvalue of $58740$ Determine the critical buckling load if a $10$ N was applied at $F$ and the beam was splirthto $10$ nodes Give your answer in MN