Problem $1$

Design a typical interior T$-$beam to resist positive moment. The slab and beams are simply

supported, and have a span length of $30$ ft $.$ Service loads are $50$ psf dead load, not including the

weight of the beam and slab, and $150$ psf live load. Sketch your design.

$h_f=6$ in$.,h=22$ in$.,b_w=15$ in$.,l_n=7ft,f_y=60,000.$ Design the interior beam for:

a$)f_c^{\text{'}}=4000$

b$)f_c^{\text{'}}=4500$