A beam having a tee$-$shaped cross section is subjected to equal $18$ kN $-$m bending moments, as shown.

Assume $b_f=125mm,t_f=25mm,d=185mm,t_w=20mm.$ The cross$-$sectional dimensions of the beam are also shown. Use these information to answer questions $6-10.$

DETERMINE the centroid location $($measured upward from the bottom$),$ in mm rounded to the nearest tenths

with reference to problem $2,$ determinde the moment of inertia about the z axis, Express your answer in $(10^6)$ mm$^4$ rounded to three significant figures

with reference to problem $2,$ determine the controlling section modulus about the z axis. Express your answer in $(10^3)$ mm$^3$ rounded to three signifucant figures

with reference to problem $2,$ determine the bending stress at point H $($positive if tensile and negative of compressive$).$ Express your answer in MPa rounded to the nearest hundredths

With reference to problem $2,$ determine the maxomum bending stress$($ positive if tensile and negative if compressive produces in the cross section. Express tour answer in MPa rounded to the nearest tenths