When designing something like an extendable closet, forces and strengths of the structure have to be taken in consideration to get to know if the components are strong enough to take care of the forces and prevent the Storsjön from falling apart.

Before analyzing the entire closet a few assumptions have to be made. The first assumption made, was the assumption that the different parts of the closet and the rails that connect them are rigid. The second assumption made was the assumption that the vertical components of the reaction forces of the wall to the closet are zero. This assumption is incorrect, but needed, because the closet would be overdetermined if these forces would not be zero and it would not be possible to analyze the closet at all. These assumptions make the analysis a heavily simplified version of the reality, but do give a decent indication of the forces the rails will have to bear.

The first step in the static analysis of the closet is determining the outer forces on the closet. The forces on the different rails will be determined later on.

All calculations are based on masses and dimensions that can be found in the file below.

ƩFy=0 →Force the wheel carries=695N

ƩMallc=Moment around lower left corner=0  → 

Force the wall exerts on the closet on the top side=62.55N

ƩFx=0 ​ →Force the wall exerts on the closet on the lower side=-62.55N