Problem #$3(20$ points$)$

A flat$-$plate slab with spans of $25ft$ in each direction is supported on $16$ in$.$ square columns. The slab thickness is $7$ in$.$ and the average effective depth is $5\mathrm{.}6in.$ The slab supports its own dead load, plus $30$ psf superimposed dead load and $100$ psf live load. The concrete strength is $4000$ psi. Check two$-$way shear at a typical interior support. Assume unbalanced moments are negligible. If the slab concrete shear strength is not adequate, discuss ways $($design is not required$)$ to increase the shear strength.