A solid $4340$ HR Steel tie rod of length $L_{\text{r}\text{o}\text{d}}=900mm$ is employed to compress a Naval Brass bushing of length $L_{\text{b}\text{u}\text{s}\text{h}\text{i}\text{n}\text{g}}=650mm$ as shown. The tie rod has a solid circular cross section with diameter $d_{\text{r}\text{o}\text{d}}=22\mathrm{.}5mm.$ The bushing has a hollow circular cross section with outer diameter $d_o=80mm,$ inner diameter $d_i,$ and wall thickness $t.$ If $F=45kN,$ determine the minimum wall thickness of the bushing based on the below design requirements:

the displacement of the bottom of the tie rod with respect to the fixed horizontal surface may not exceed ${}_{\text{t}\text{o}\text{t}\text{a}\text{l}}=1\mathrm{.}1mm$

the normal stress of the bushing may not exceed the yield strength of the bushing material

Rod cross section

Bushing cross section