This lesson covers the concept of tensors, their orders, and their applications in physics and engineering. It explains the difference between scalar, vector, and tensor quantities, and provides examples of each. The lesson further delves into the concept of stress as a tensor and explains how to define the order or rank of a tensor. It also discusses the representation of tensors using symbols and indices. The lesson then moves on to the topic of strain, explaining how to quantify deformation at a point and define strains. It provides a detailed explanation of how to calculate strains in different directions and introduces the concept of shear strain. The lesson concludes with a discussion on the equilibrium equations in different directions and the Cauchy formula for calculating traction on any arbitrary plane.

- Tensors are a more general quantity used in physics and engineering, with scalar and vector being specific types of tensors.
- The order or rank of a tensor is defined by the number of attributes it has.
- Stress is a second rank tensor, having magnitude, direction of action, and a plane of association.
- Strain quantifies the deformation at a point and can be calculated in different directions.
- Shear strain is defined as the change in the angle between two orthogonal directions under the action of external loading.
- The Cauchy formula allows for the calculation of traction on any arbitrary plane if the direction cosines of the plane and the stresses at a point are known.

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.