Textbook Problem

A fully composite floor system consists of $40$-foot-long, $W21\times 57$ steel beams spaced at $9$ feet center-to-center and supporting a $6$-inch-thick reinforced concrete floor slab. The steel is A992 and the concrete strength is $f_c^{\text{'}}=4$ ksi. There is a construction load of $20$ psf and a live load of $250$ psf.

a. Determine whether this beam is adequate for LRFD.

b. Determine whether the beam is adequate for ASD.

c. How many $\frac{3}{4}-inch\times 3-inch$ stud anchors are required for full composite behavior?