STRUCTURAL ANALYSIS $($CON$4346$Y$)$

REVISION $2$

SHORT COLUMNS

Q$1$

Figure $1$ shows a steel column constructed of a doubly symmetric rectangular hollow section. The steel column is determined to be a short column and is subjected to compressive loads of $300$ kN and $200$ kN $.$

Figure $1$

$($A$)$ Determine the moment of inertia about the centroidal $x$ and $Y$ axes and cross$-$sectional area of the H section.

$($B$)$ Determine the bending moments $M_x$ and $M_y$ and the resultant axial load acting onto the column.

$($C$)$ Determine the location and magnitude of the maximum compressive stress due to the combined effects of the axial compression and biaxial bending.

$($D$)$ Determine the location and magnitude of the minimum compressive or maximum tensile stress due to the combined effects of the axial compression and biaxial bending.