Examples on Stress and Strain

Examples on Stress and Strain is explained in context with mechanics of solids with following timestamps:
0:00 – Mechanics of Solid Lecture series
0:15 – Outlines on the session
0:26 – Example on stress and strain-1
3:55 – Example on stress and strain-2
7:14 – Example on stress and strain-3

Following points are covered in this video:
1. Stress
2. Strain
3. Examples based on stress and strain

Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Mechanics of Solids or Engineering Mechanics.

#Examples #Stress #Strain #EngineeringFunda #MechanicsOfSolids

Basics of Stress and Strain:

Stress and strain are two important concepts in the field of mechanics and materials science. Stress is a measure of the force acting on an object per unit area, while strain is a measure of the deformation of an object under stress.

Stress:

Stress is a measure of the force acting on an object per unit area. It is represented by the symbol σ and is measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa). Stress can be applied to an object in many different ways, such as tension, compression, shear, or torsion. The formula for stress is:

σ = F/A

Where σ is the stress, F is the force acting on the object, and A is the area on which the force is applied.

Strain:

Strain is a measure of the deformation of an object under stress. It is represented by the symbol ε and is a unitless quantity. Strain is a measure of how much an object changes shape or length in response to stress. The formula for strain is:

ε = ΔL/L

Where ε is the strain, ΔL is the change in length of the object, and L is the original length of the object.

Stress and strain are related through a property called Young's modulus, which is a measure of a material's resistance to deformation under stress. Young's modulus is represented by the symbol E and is measured in units of force per unit area, such as psi or Pa. The formula for Young's modulus is:

E = σ/ε

Where E is the Young's modulus, σ is the stress, and ε is the strain.

In summary, stress is a measure of the force acting on an object per unit area, while strain is a measure of the deformation of an object under stress. These concepts are important in understanding the mechanical behavior of materials and the design of structures and machines.