(Solved): As given below, a L-shaped structure is subjected to bending moment of 10 \( \mathrm{kN} . \mathrm ...

As given below, a L-shaped structure is subjected to bending moment of 10 \( \mathrm{kN} . \mathrm{m} \) along the horizontal axis (take \( I_{M a x}=24 \times 10^{6} \mathrm{~mm}^{4}, I_{M i n}=2.5 \times 10^{6} \mathrm{~mm}^{4}, I_{z}=22.6 \times 10^{6} \mathrm{~mm}^{4} \), \[ \left.I_{y}=3.9 \times 10^{6} \mathrm{~mm}^{4}, \text { and } I_{y z}=5.1 \times 10^{6} \mathrm{~mm}^{4}\right) \] (a) Show the invariancy of the product of inertia (2 Marks) (b) Find the moments along the two principal axes ( 4 Marks) (c) Find the (normal) stress at F (8 Marks) (d) Describe the nature of the stress from (c) (1 Mark)