QUESTION $1$

$[55$ MARKS$]$

Design the tendons required in the $220mm$ thick flat slab shown in the Figure Q$1$ below

$($including the positioning of the tendons$).$ The unfactored live load on the slab is $7$kPa and the

dead load $2\mathrm{.}7$kPa, plus the slab self$-$weight. There is a dead load, $P,$ of $25kN$ in the middle of

the first span $($A$-$B$).$ All columns are $600mm$ by $600mm$ and $4m$ long above and below the

slab. At the top of each column, a $300mm$ column capital is used to increase the supported area,

as shown Assume a post$-$tensioning design$/$construction$.$

FIGURE Q$1$: Prestressed slab