A $200 \mathrm{~mm}$ long simply-supported column has a $5 \mathrm{~mm} \times 10 \mathrm{~mm}$ rectangular cross section. The Young's modulus of the material, $E=200 \mathrm{GPa}$. Assuming a factor of safety of 2.5 corresponding to the buckling load, the maximum load (in $N$ ) the column can support in compression is__________

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A $200 \mathrm{~mm}$ long simply-supported column has a $5 \mathrm{~mm} \times 10 \mathrm{~mm}$ rectangular cross section. The Young's modulus of the material, $E=200 \mathrm{GPa}$. Assuming a factor of safety of 2.5 corresponding to the buckling load, the maximum load (in $N$ ) the column can support in compression is__________