For the given cross section below $($normal weight concrete, fc$=3000$ psi$),$ determine:

a$.$ Location of neutral axis $($assuming an uncracked section$)$

b$.$ gross area moment of inertia $($assuming an uncracked section$)$

c$.$ Cracking bending moment $($Mcr$)$

For the beam cross section determine:

a$.$ The location of the neutral axis $($assume a cracked section$)$

b$.$ Determine the cracked area moment of inertia $($Icr$)$

c$.$ Determine the stress in steel at M $=2\mathrm{.}0$Mcr$.$