(Solved): Figure 2 shows a horizontal beam \( A B \). It is pin-supported at end \( A \) and carrying a loa ...

Figure 2 shows a horizontal beam \( A B \). It is pin-supported at end \( A \) and carrying a load \( Q \) at end \( B \). The beam is supported at \( C \) by a pinned-end column. The column is a solid steel bar of square cross-section having length \( L \) and side dimension \( b=60 \mathrm{~mm} \). Based upon the critical load of the column, if the allowable load \( Q \) is given by \( 109 \mathrm{kN} \) with the factor of safety \( \mathrm{n}=2.0 \) with respect to buckling, determine the length of the column. \[ \mathrm{E}=200 \mathrm{GPa} \] Figure 2