### Stress notation

**Vector and Tensors**

Vector quantities are those, which requires only one magnitude and only one direction for its complete definition. Whereas tensors quantities require more than one directions for their definition. Stresses are tensor quantities. For its complete definition, it requires two directions: - The direction of the plane on which they act.
- The direction along which they act.

**The direction of the plane**

The direction of the plane is defined by the direction of its outward normal. A plane is considered as positive if the direction of its outward normal is along the positive direction of the coordinate axis. Otherwise, it is considered as a negative plane. In the figure shown below, the outward normal to the plane **ABCD**is along the positive

*axis. Hence,*

**x –****ABCD**is a positive plane. Whereas the outward normal to the plane

**EFGH**is along the negative

**axis. Hence,**

*x*–**EFGH**is a negative plane. Similarly,

**CDHG**is a positive plane (since its outward normal is long the positive

*axis) and*

**y –****ABFE**is a negative plane (since its outward normal is along the negative

*axis)*

**y –****Stress notation**

**Sign convention**

The stresses are tensor quantities that require two directions for its complete specification. - The direction of the plane on which they act.
- The direction along which they act.

## Comments

## Post a Comment