FIGURE P$1\mathrm{.}29$ T$-$beam.

a$.$ Determine the location $\frac{?}{\text{b}\text{a}\text{r}}(y)$ of the neutral axis $($the horizontal

centroidal axis$)$ of the cross section.

b$.$ Draw shear and moment diagrams for the beam.

c$.$ Determine the maximum tensile stress and the maximum

compressive stress in the beam and their locations.

$1\mathrm{.}30.$ Determine the maximum and minimum shear stresses in

the web of the beam of Problem $1\mathrm{.}29$ and their locations. Assume

that the distributions of shear stresses in the web, as in rectangu$-$

lar cross sections, are directed parallel to the shear force $V$ and

are uniformly distributed across the thickness $(t=6\mathrm{.}5mm)$ of the

web. Hence, Eq$.1\mathrm{.}9$ can be used to calculate the shear stresses.