A $12$x$8$x$16$ fully grouted masonry lintel supports a uniformly distributed superimposed load

shown below. The dead load shown does not include the self weight of the beam.

Material Properties:

i$)$ Masonry Compressive stress, $f_m^{\text{'}}=2,500$ psi

ii$)$ Normal Weight Masonry, $($density $=135$ pcf$)$

iii$)$ Portland Cement Mortar Type S$,$ running bond construction

iv$)$ ASTM A$615$ Grade $60$ steel reinforcement

Determine the adequacy of the reinforced beam to carry the loads in

flexure$/$bending$.$ Show all your calculations and do not use any design tables.

Remember to check all reinforcement limits$.$ Remember to include the self weight of

the beam. $M_n=766\mathrm{.}5k-$in $=63\mathrm{.}8k-ft$

a$)$ If the beam is inadequate to support the loading, what changes are required to

make the beam adequate. Is $M_n>M_u?$

Determine the adequacy of the beam to resist the given loads in shear.

$V_n=50\mathrm{.}7k$

Calculate the moment of inertia for the gross section and for the cracked section.

$I_n=62,000i{n}^4,I_{cr}=8,019i{n}^4$

Determine if the beam satisfies IBC deflection criteria.

The Red numbers are the answers so the work should align with those. Please answer properly as this is my $3$ time uploading.