Prestressed concrete: Problem $1$:

a$-$ Give a brief summary on the differences between post$-$tensioned and pre$-$tensioned

concrete

b$-$ Your cousin Sarah just graduated from architecture school and she wants you to design her

first project that she recently won. The project consists of a $5-$story parking located in

Cachan. The architectural plan view of the parking is shown in the figure below. The spans

$($distance between columns$)$ are approximately of $10m.$ What type of pre$-$stressed $($post$-$

tensioned or pre$-$tensioned$)$ concrete will you choose for this building? Give a sketch or two

on the structural concept that you propose.

c$-$ Your cousin Damian has made a fortune from Bitcoin. Therefore, he decided to move out of

the big city and to construct a villa near the sea. He asked you to design his $3-$story villa of

the figure below. The spans are about $15m($distance between columns$).$ What type of pre$-$

stressed $($post$-$tensioned or pre$-$tensioned$)$ concrete will you choose for this villa?