For a reinforced simply supported reinforced concrete beam of span

$24$ ft$,$ the following information is provided:

$$ Cross$-$section of the beam: $12$ in$.$ x $24$ in$.$

$$ Superimposed dead load $=2\mathrm{.}3$ kips$/$ft

$$ Live load $=1\mathrm{.}2$ kips$/$ft

$$ Concrete compressive strength $=4000$ psi

Calculate the following quantities as per ACI $318-19$:

$$ Design moment for limit state of strength

$$ Design moment for limit state of serviceability

$$ Modulus of rupture of concrete

$$ Elasticity modulus of concrete