QUESTION $1$

A semi$-$circular curved structure as shown in Fig Q$1$ is filled with water and weighs $30$ kN $.$ The diameter of the curved structure is $4$ m and it is secured to the floor using six $(6)$ equally spaced bolts along its length.

Assuming water properties at standard atmospheric condition,

a$.$ sketch and label the hydrostatic forces on the curved structure and its location

$[1$ mark$]$

b$.$ determine the horizontal force per$-$unit length acting on the curved structure

$[1$ mark$]$

c$.$ determine the vertical force per$-$unit length acting on the curved structure

$[2$ marks$]$

d$.$ calculate the force in each bolt required to secure the curved structure

$[1$ mark$]$