Question $1$

Figure $1$ shows a $1\mathrm{.}6$ by $2\mathrm{.}1$ m rectangular footing that is founded at a depth of $1\mathrm{.}2$ m on a deep deposit of medium dense silty sand $(I_D=0\mathrm{.}5).$ The water table at the site varies seasonally from $6$ m below the ground surface in summer to $1$ m below the ground surface in winter.

$($a$)$ Giving your reasons, select a water$-$table for use in design.

$(1$ mark$)$

$($b$)$ Based on the water$-$table selected in $($a$),$ calculate the ultimate bearing capacity of the footing.

$(4$ marks$)$

S

$$

$=$

${}_{\text{s}\text{a}\text{t}-}10\mathrm{.}0ki\frac{v}{\text{I}}{I}^{-}$

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