Assignment $2-$Sheet Pile Wall, Ultimate Limit State

Given: A sheet pile wall should be installed for a new residential building. The

excavation depth for the basements is $6,8m$ below the ground level. The sheet

pile wall is tied back with anchors on two levels placed $1,3$ and $4,5m$ below the

ground level. The soil consists of clay and sand with properties according to the

table below. The ground water table is located below the toe of the sheet piles.

The bearing capacity of the anchors is $500$ and $700$ kN on anchor level $1$ and $2$

respectively. The yield stress of the sheet piles and the wale beams is $355$ and

$275$ MPa $.$ The inclination of the anchors is $45.$

Find: The length of the sheet piles with respect to rotation stability around the first

anchor level before the installation of the second anchor level $($excavation stage$),$

the spacing between the anchors on both anchor levels and the elastic section

modulus of the wale beam on both anchor levels as well as of the sheet piles.

The assignment should be handed in according to the course schedule.

where

$=$ unit weight $($design value$)$

$=$ frictionangle $($design value$)$

ryat $=$ shear strength $($design value$)$