## State of stress at a Point (Stress Tensor)

Consider a three dimensional body in equilibrium under the action of a set of external forces P1,P2,P3.. , the stresses developed in different planes vary. To study the magnitude of these forces at any point let the body be divided into 2 parts A&B by a cross section “mm” . Any of these parts may be said to be in equilibrium under the action of the external forces and the internal forces distributed over the c/s “mm” . Please download the pdf file for complete note

## Three Dimensional Stresses

Figure shows an elemental stress block subjected to three dimensional stress. Each stress component in it is represented by its magnitude , direction as well as position of the plane on which it is acting.

In order to represent these stresses a double subscript notation system is used

### Stress Tensor, Three Dimensional Stress, Stresses on an Axi-Symmetric Plane, Problems & Solutions, Principle Planes, Principle Stresses, Shear stress, Max. Shear Stress, Equations Of Equilibrium, Compatibility Conditions & Equations, Boundary Conditions, State of Pure Shear, Hydro Static State, Octahedral Stresses & Planes, Derivation for Transformation Of Stresses, Generalised Hooke’s Law 