$(1)$ There is a axial compression column with the welded I$-$shaped section as shown in the following figure. The design value of bearing axial load $N=2000kN($including the weight of column$).$ The calculated length is lox $=9m,$loy$=3m.$ The flange plate of section is a flame cutting edge. The cross$-$section is not weakened. The steel plate is Q$235$AF$.$

Try to check the overall stability of the member.

Table $1$ Stability factor $,$ of axially loaded compression members, for Class b sections

$\backslash$table$[[i\sqrt[\phantom{2}]{\frac{f}{235}},0,1,2,3,4,5,6,7,8,9],[0,1\mathrm{.}000,1\mathrm{.}000,1\mathrm{.}000,0\mathrm{.}999,0\mathrm{.}999,0\mathrm{.}998,0\mathrm{.}997,0\mathrm{.}996,0\mathrm{.}995,0\mathrm{.}994]]$

$3$

$\backslash$table$[[10,0\mathrm{.}992,0\mathrm{.}991,0\mathrm{.}989,0\mathrm{.}987,0\mathrm{.}985,0\mathrm{.}983,0\mathrm{.}981,0\mathrm{.}978,0\mathrm{.}976,0\mathrm{.}973],[20,0\mathrm{.}970,0\mathrm{.}967,0\mathrm{.}963,0\mathrm{.}960,0\mathrm{.}957,0\mathrm{.}953,0\mathrm{.}950,0\mathrm{.}946,0\mathrm{.}943,0\mathrm{.}939],[30,0\mathrm{.}936,0\mathrm{.}932,0\mathrm{.}929,0\mathrm{.}925,0\mathrm{.}922,0\mathrm{.}918,0\mathrm{.}914,0\mathrm{.}910,0\mathrm{.}906,0\mathrm{.}903],[40,0\mathrm{.}899,0\mathrm{.}895,0\mathrm{.}891,0\mathrm{.}887,0\mathrm{.}882,0\mathrm{.}878,0\mathrm{.}874,0\mathrm{.}870,0\mathrm{.}865,0\mathrm{.}861],[50,0\mathrm{.}856,0\mathrm{.}852,0\mathrm{.}847,0\mathrm{.}842,0\mathrm{.}838,0\mathrm{.}833,0\mathrm{.}828,0\mathrm{.}823,0\mathrm{.}818,0\mathrm{.}813],[60,0\mathrm{.}807,0\mathrm{.}802,0\mathrm{.}797,0\mathrm{.}791,0\mathrm{.}786,0\mathrm{.}780,0\mathrm{.}774,0\mathrm{.}769,0\mathrm{.}763,0\mathrm{.}757],[70,0\mathrm{.}751,0\mathrm{.}745,0\mathrm{.}739,0\mathrm{.}732,0\mathrm{.}726,0\mathrm{.}720,0\mathrm{.}714,0\mathrm{.}707,0\mathrm{.}701,0\mathrm{.}694],[80,0\mathrm{.}688,0\mathrm{.}681,0\mathrm{.}675,0\mathrm{.}668,0\mathrm{.}661,0\mathrm{.}655,0\mathrm{.}648,0\mathrm{.}641,0\mathrm{.}635,0\mathrm{.}628],[90,0\mathrm{.}621,0\mathrm{.}614,0\mathrm{.}608,0\mathrm{.}601,0\mathrm{.}594,0\mathrm{.}588,0\mathrm{.}581,0\mathrm{.}575,0\mathrm{.}568,0\mathrm{.}561],[100,0\mathrm{.}555,0\mathrm{.}549,0\mathrm{.}542,0\mathrm{.}536,0\mathrm{.}529,0\mathrm{.}523,0\mathrm{.}517,0\mathrm{.}511,0\mathrm{.}505,0\mathrm{.}499],[110,0\mathrm{.}493,0\mathrm{.}487,0\mathrm{.}481,0\mathrm{.}475,0\mathrm{.}470,0\mathrm{.}464,0\mathrm{.}458,0\mathrm{.}453,0\mathrm{.}447,0\mathrm{.}442],[120,0\mathrm{.}437,0\mathrm{.}432,0\mathrm{.}426,0\mathrm{.}421,0\mathrm{.}416,0\mathrm{.}411,0\mathrm{.}406,0\mathrm{.}402,0\mathrm{.}397,0\mathrm{.}392],[130,0\mathrm{.}387,0\mathrm{.}383,0\mathrm{.}378,0\mathrm{.}374,0\mathrm{.}370,0\mathrm{.}365,0\mathrm{.}361,0\mathrm{.}357,0\mathrm{.}353,0\mathrm{.}349],[140,0\mathrm{.}345,0\mathrm{.}341,0\mathrm{.}337,0\mathrm{.}333,0\mathrm{.}329,0\mathrm{.}326,0\mathrm{.}322,0\mathrm{.}318,0\mathrm{.}315,0\mathrm{.}311],[150,0\mathrm{.}308,0\mathrm{.}304,0\mathrm{.}301,0\mathrm{.}298,0\mathrm{.}294,0\mathrm{.}291,0\mathrm{.}288,0\mathrm{.}285,0\mathrm{.}282,0\mathrm{.}279]]$