(Solved): A C-profile beam in subjected to a bending couple M0 applied in the vertical direction as shown ...

A C-profile beam in subjected to a bending couple ${\mathbf{M}}_0$ applied in the vertical direction as shown below. Determine: (a) the location of the centroid of the cross section of the beam; (b) the moment of inertia $I_y$ for the vertical principle axis through the centroid; (c) the normal stress at points $D,E$, and $F$. (Point $E$ lies of the axis of symmetry on the section.)