Conventions

 

 

 

 

Global axis system position

 

Global axis system position

 

 

 

 

 

Local axis system position

Local axis system position

 

 

 

 

 

- External vertical loads

Defining vertical loads with positive value means compression.

 

- Resultant forces on each wall

 

Wall resultant forces

Wall resultant forces

 

 

 

1.N is the axial force

- N > 0 means compression

- N < 0 means tension

 

2.Vx is shear force

- Vx > 0 when it has same sense as x axis

 

3.Mz and Mx are bending moments; Mz is bending moment in wall plane and Mx is bending moment perpendicular on wall plane (out-of-plane)

- Mz > 0 means that using the right-hand rule, the versor of the moment has same direction as z axis

- Mx > 0 means that using the right-hand rule, the versor of the moment has same direction as x axis

 

Using right-hand rule: "grab" the axis and start to rotate the hand. If the thumb is oriented as the axis, the moment is positive. Otherwise it is negative.

 

Right-hand rule

Right-hand rule

 

 

 

- Resultant forces on the group of walls

 

 

 

Group resultant forces

Group resultant forces

 

 

 

1.N is the axial force

- N > 0 means compression

- N < 0 means tension

 

2.MX and MY are bending moments;

- MX > 0 means that using the right-hand rule, the versor of the moment has same direction as X axis

- MY > 0 means that using the right-hand rule, the versor of the moment has same direction as Y axis

 

 

Resultant forces having as reference the global axis system (X,Y,Z)

 

Resultant forces having as reference the global axis system (X,Y,Z)

 

 

 

 

 

 

 

 

 

 

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