This lesson covers the concept of stress and strain at a point in a body undergoing deformation. It explains the tensor representation of stress and strain, their components in 2 and 3 dimensions, and their symmetric nature. The lesson also discusses the difference between engineering shear strain and tensor shear strain. It further elaborates on the calculation of strains at a point in terms of displacement components and tractions on an arbitrary plane. The lesson concludes with the determination of principal planes and principal stresses, and the concept of stress invariants. For instance, it explains how to calculate the strain at a point where the displacements are given in millimeters.

- Stress and strain at a point are represented by tensors with 9 components for 3 dimensions and 4 components for 2 dimensions.
- Engineering shear strain is twice the tensor shear strain.
- Strains at a point can be calculated in terms of displacement components.
- Traction components on an arbitrary plane can be calculated using the stress tensor and direction cosines.
- Principal planes and principal stresses are determined by finding the roots of a cubic equation involving stress invariants.
- Stress invariants are quantities that are independent of the coordinate system used.

You are being redirected to our marketplace website to provide you an optimal buying experience. Please refer to our FAQ page for more details. Click the button below to proceed further.