(Solved): (a) Considering only buckling in the plane of the structure shown and using Euler's formula, deter ...

(a) Considering only buckling in the plane of the structure shown and using Euler's formula, determine the value of \( \theta \) between 0 and \( 90^{\circ} \) for which the allowable magnitude of the load \( \mathbf{P} \) is maximum. (b) Determine the corresponding maximum value of \( P \) knowing that a factor of safety of \( 3.2 \) is required. Use \( E=29 \times \) \( 10^{6} \mathrm{psi} \)