(Solved): The rod shown below has an I-beam cross-section with the following properties: \( w=70 \mathrm{~mm ...

The rod shown below has an I-beam cross-section with the following properties: \( w=70 \mathrm{~mm}, h=32.5 \mathrm{~mm}, t_{f}=3 \mathrm{~mm}, t_{w}=4.5 \mathrm{~mm} \) \( A=539 \mathrm{~mm}^{2}, I_{z}=\int y^{2} d A=98670 \mathrm{~mm}^{4} \), and \( I_{y}=\int z^{2} d A=171701 \mathrm{~mm}^{4} \). For this problem, \( x \) is the axis of the rod. If an external axial force \( P=-58.5 \mathrm{kN} \) is applied, as shown, what is the maximum shear stress, \( \tau_{\max } \), in the material (in units of \( \mathrm{Pa} \) ), with tensile or shear stresses expressed as a positive number and compressive stresses expressed as a negative number?