(Solved): A cantilever beam (member AC) is supported with a column (member CD). Moment \( \mathrm{M} \) is a ...

A cantilever beam (member AC) is supported with a column (member CD). Moment \( \mathrm{M} \) is applied to Point \( \mathrm{B} \), which is located at the midspan of the beam AC. The column is required to prevent excessive deflection of the beam as shown below. Determine the ratio of internal force in the column (member CD) to the critical buckling load of the column \( \left(P_{c r}\right) \). The length for both of the members, \( L \), is \( 1,700 \mathrm{~mm} \). The applied moment, \( \mathrm{M} \), is \( 80 \mathrm{kN} \cdot \mathrm{m} \). The flexural rigidity, El, is \( 3.0 \times 10^{7} \mathrm{kN} \cdot \mathrm{mm}^{2} \).