For the beam cross section shown, determine:

$f_c^{\text{'}}=5000$

$f_s=60$ksi

$A_s=(6)$#$10$

a$.$ The cracked transformed moment of inertia;

b$.$ The ratio of cracked to uncracked moment of inertia;

c$.$ The moment that causes a maximum concrete stress equal to $0\mathrm{.}4f_c^{\text{'}}($occurs before the

steel yields$)$;

d$.$ The steel force associated with the moment found in Part c;

e$.$ The yield moment $(M_v)$ assuming linear$-$elastic behavior of the concrete;

f$.$ The nominal moment $(M_n)$;

g$.$ The maximum compressive strain in the concrete for the moment found in Part $f$;

h$.$ The tensile strain in the steel for the moment found in Part $f.$