Q$1)(33\%)$

A continuous footing is planned to be constructed for a load$-$bearing wall $($shear wall$).$ The

width of the wall is $30\mathrm{.}5cm,$ the wall carries $219k\frac{N}{m}$ vertical force, including the weight of

the wall. The base of the footing will be located at a depth of $1m$ below the ground surface.

There is no ground water table. The wall and the footing will be made of reinforced concrete

having unit weight of $23\mathrm{.}6k\frac{N}{m^3}.$ Generally, the footing thickness of $1$ to $1\mathrm{.}5$ times the wall

thickness will be adequate. Soil above and below the footing has unit weight of $15\mathrm{.}7k\frac{N}{m^3}.$

The wall will also carry a lateral force due to wind $(33\mathrm{.}5k\frac{N}{m}),$ which is acting at $0\mathrm{.}3m$ above

the ground level, on the wall. The soil at the site has the following CPT data, you may need to

obtain soil parameters using the CPT data given.

a$)$ Design a footing for the load$-$bearing wall $($i$.$e$.$ determine the width and the thickness of

the continuous footing$),$ such that $(1)$ the allowable bearing capacity $($using F$.$S$.3\mathrm{.}0)$ is

not exceeded, $(2)$ max. allowable immediate settlement value, $60mm,$ is not exceeded,

$(3)$ the minimum base pressure under the footing is greater than or equal to zero. For

immediate settlement calculations use Schmertmann's method, and consider $t=1$ months

after construction finishes; use Young's modulus $=3$ x Cone Tip Resistance; ignore

consolidation settlement if there is any. You may use trial and error method to design

the footing. If you use this method, show your trial calculations.

b$)$ For the footing dimension you found in part $($a$),$ draw shear force and bending moment

diagrams.