HW Problem

Given:

A ${16}^{\text{'}}{16}^{\text{'}\text{'}}$ concrete column bears on a

$9^{\text{'}}{9}^{\text{'}}{2}^{\text{'}}$ concrete footing. The

bottom of the footing is $5$ feet below

grade. The following loads and

material properties apply:

Soil:

Allowable bearing pressure $q_a=$

$5500$ psf

Soil unit weight, $=100$ pcf

Concrete$/$steel:

$f^{\text{'}}c=3000$ psi $($footing$)$

$f_c^{\text{'}}=5000$ psi $($column$)$

$f_y=60,000$ psi

$9$ #$8$ bars $(A_b=0\mathrm{.}79i{n}^2)$

$3^{\text{'}\text{'}}$ cover

Service Loads:

$PD{L}_{DL}=200k$

$P_u=160k$

Find:

Check that footing is large enough for allowable soil bearing pressure

Check footing for $1-$way shear

Check footing for $2-$way shear

Check footing for flexure

Check development of flexure bars

a$.$ Determine tension development length for straight bar

b$.$ Determine tension development length for hooked anchorage

Check reinforcement limits $(mi\frac{n}{m}ax$ area, $mi\frac{n}{m}ax$ spacing$)$

Check column for bearing

Check footing for bearing

Determine required dowels for footing and column

a$.$ Determine compression development length for bars in column

b$.$ Determine compression development length for bars in footing