On what does the magnitude of the stress components depend at a point?
On what does the magnitude of the stress components depend at a point?
To find-:
The magnitude of the stress components depend at a point.
Answer-:
The stress at a point in a material needs nine components for its complete description because two directions are involved in its description.One of the direction specifies the orientation of the surface on which the stress is acting, and the other specifies the direction of the force on that surface.
Consider an infinitesimal rectangular parallelepiped with faces perpendicular to the coordinates as shown in fig. On each face there is a normal stress and a tangential stress. The tangential stress can be further resolved into two components in the direction of the axes. The complete stress matrix is-:
The first index of indicate the direction of the normal to the surface on which the stress is considered,and the second index indicates the direction in which the stress acts. The diagonal elements , and are the normal stresses and the off- diagonal elements are the tangential or shear stresses.
Step by step
Solved in 2 steps with 1 images
