(Solved): Rigid bar ABC is supported by a pin at bracket \( A \) and by tie rod (1). Tie rod (1) has a diamet ...

Rigid bar ABC is supported by a pin at bracket \( A \) and by tie rod (1). Tie rod (1) has a diameter of \( 9 \mathrm{~mm} \), and it is supported by doubleshear pin connections at \( B \) and \( D \). The pin at bracket \( A \) is a single-shear connection. The pin at \( B \) is \( 7 \mathrm{~mm} \) in diameter. Assume \( a=660 \) \( \mathrm{mm}, \mathrm{b}=330 \mathrm{~mm}, \mathrm{~h}=310 \mathrm{~mm} \), and \( \theta=55^{\circ} \). If the normal stress in tie rod (1) cannot exceed \( 190 \mathrm{MPa} \) and the shear stress in pin \( B \) cannot exceed \( 110 \mathrm{MPa} \), determine the maximum load \( P_{\max } \) that can be supported by the structure.