(Solved): The frame shown is pinned at points \( A, B \), and \( C \). A single downward vertical force is a ...

The frame shown is pinned at points \( A, B \), and \( C \). A single downward vertical force is applied at pin \( B \). Solid rods \( A B \) and \( B C \) have diameter \( d=6 \mathrm{~mm} \) and are made out of steel. You may assume rods \( A B \) and \( B C \) are massless. Determine the largest force \( F_{\max } \) that can be applied to the structure before the onset of buckling in either rod \( A B \) or \( \operatorname{rod} B C \) is imminent. Correct answer The frame shown is pinned at points \( A, B \), and \( C \). A single downward vertical force is applied at pin \( B \). Solid rods \( A B \) and \( B C \) have diameter \( d=6 \mathrm{~mm} \) and are made out of steel. You may assume rods \( A B \) and \( B C \) are massless. Determine the largest force \( F_{\max } \) that can be applied to the structure before the onset of buckling in either rod \( A B \) or rod \( B C \) is imminent. \[ F_{\max }=1.98925132942 \mathrm{kN} \]