Question $4(15$ marks$)$

A T$-$section contains a flange of size $150mm50mm$ and web of size $50mm150mm.$ This section

is subjected to a vertical shear force of $100$ kN $.$ Centroid of section is $125$ mm from the bottom face

and moment of inertia around the centroidal axis is $I=5312\mathrm{.}5{10}^{4}m{m}^4.$

a$)$ Determine the maximum shear stress

$(10$ marks$)$

b$)$ Draw the shear stress distribution diagram along with

values at vital points.

$(5$ marks$)$