List of top Design of Steel Structures Questions on Plastic Analysis asked in GATE CE

The cross-section of a steel T-beam is shown in the figure where all dimensions are in mm.

(Figure not to scale)
The plastic section modulus of the given cross-section is \(\times 10^4\) mm\(^3\) (in integer).

Consider the horizontal axis passing through the centroid of the steel beam cross-section shown (a symmetric "plus" of arm width $b$). What is the shape factor (rounded off to one decimal place) for the cross-section?