Question $2$:

Determine the net permissible soil pressure beneath a footing, given the following

information:

$(1)$ allowable bearing capacity of soil $=190k\frac{N}{m^2}$;

$(2)$ base of footing is located $1\mathrm{.}2m$ below ground level; and

$(3)$ service surcharge at ground level $=5k\frac{N}{m^2}.$

Assume that the weight of the soil and concrete above the footing base is $2,080k\frac{g}{m^3}.$

Determine the required size of the footing, assuming a net permissible soil pressure of

$190k\frac{N}{m^2}.$ The applied axial service dead and live loads are $2,000kN$ and $890kN,$

respectively.

Determine the following for the footing described in the figure:

$($a$)$ factored one$-$ way shear force at the critical section;

$($b$)$ design one$-$way shear strength at the critical section;

$($c$)$ factored two$-$way shear force at the critical section;

$($d$)$ design two$-$way shear strength at the critical section; and

$($e$)$ required area of flexural reinforcement at the critical section.

Assume normal$-$weight concrete with a compressive strength of $21$MPa and Grade $420$

reinforcement.