Elasticity & Hooke's Law - Intro to Young's Modulus, Stress & Strain, Elastic & Proportional Limit

This physics video tutorial provides a basic introduction into elasticity and hooke's law. The basic idea behind hooke's law is that the change in length of a stretching or compressing an object is proportional to the force applied up to the proportional limit. The elastic limit is the point up to which an object can return to its natural state if the external force is removed. Beyond the elastic region lies the plastic region where an object will not return to its natural length if the external force is removed but it experiences permanent deformation. If the force passes the breaking point, the object will snap in two. The ultimate strength is maximum force that an object can withstand without breaking in two. Stress is the ratio of force and area. Stress is the external pressure applied to an object where as strain is the material's response to that stress. Strain is the ratio between the change in length of the object and its original length. The elastic modulus or young's modulus is the ratio between stress and strain. This video provides the equations and formulas needed to perform calculations associated with young's modulus /elastic modulus, stress, and strain.
Static Equilibrium:
• Static Equilibrium - T...
Elasticity and Hooke's Law:
• Elasticity & Hooke's L...
Tensile Stress:
• Tensile Stress & Strai...
Elastic Modulus:
• Stress & Strain - Elas...
Bulk Modulus:
• Bulk Modulus of Elasti...
___________________________
Volume Unit Conversion:
• How To Convert Cubic C...
Specific Gravity & Density of Mixtures:
• Specific Gravity and D...
Will It Sink or Float?
• Will It Sink or Float?
Intro to Pressure & Fluids:
• Introduction to Pressu...
Atmospheric Pressure Problems:
• Atmospheric Pressure P...
____________________________
The Gallon Crusher:
• Physics - Fluids & Pre...
Absolute Pressure Vs Gauge Pressure:
• Absolute Pressure vs G...
Water Pressure Vs Gauge Pressure:
• Water Pressure, Gauge ...
Full-Length Videos and Worksheets:
/ collections
Physics PDF Worksheets:
www.video-tutor.net/physics-b...

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Hi. I have a doubt in Hooke's law. It States that within elastic limit stress is directly proportional to strain. But within elastic limit there is no strain BCOS there is no change in dimensions. Then how we will calculate modulus of elasticity?

[@ranonymous27]

There are changes in dimensions and hence there is strain within the elastic limit, but due to the object being in the elastic region, the deformation (change in shape) is not permanent, but does exist as long as the force (load) is applied. Elastic limit is the highest stress a material can withstand before permanent deformation, it's not the only time strain is present. This therefore allows you to calculate the elastic modulus. Hope this makes sense and you find this useful : )

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