Hooke's Law of Solid Material Properties
Explore the concept of Hooke's Law in solid materials, where strain is proportional to stress within the elasticity limit. Learn about the relationship between force and strain, the unit of k, and practical applications through examples and visuals.
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Presentation Transcript
SOLID MATERIAL PROPERTIES 1. HOOKE S LAW: the strain of the material is proportional to the applied stress within the elasticity limit. The extension or compression of a material is proportional to the applied force on it within the elasticity limit of the material F = k x
SOLID MATERIAL PROPERTIES 1. HOOKE S LAW: the strain of the material is proportional to the applied stress within the elasticity limit. F = k x Force Strain Coefficient of expansion
SOLID MATERIAL PROPERTIES 1. HOOKE S LAW: the strain of the material is proportional to the applied stress within the elasticity limit. F = k x How are strain and force correlated ?
SOLID MATERIAL PROPERTIES 1. HOOKE S LAW: the strain of the material is proportional to the applied stress within the elasticity limit. F = k x What is the unit of k ?
SOLID MATERIAL PROPERTIES 1. HOOKE S LAW: the strain of the material is proportional to the applied stress within the elasticity limit.
SOLID MATERIAL PROPERTIES 1. HOOKE S LAW: the strain of the material is proportional to the applied stress within the elasticity limit.
SOLID MATERIAL PROPERTIES Practice:A spring has a spring constant (k) of 500 N/m. How much force is required to stretch the spring by 0.02 meters?
SOLID MATERIAL PROPERTIES Practice:A spring follows Hooke's Law up to the elastic limit. If a spring has a spring constant of 400 N/m and an elastic limit of 0.05 meters, calculate the maximum force that can be applied to the spring before it stops obeying Hooke's Law.
SOLID MATERIAL PROPERTIES F = k x Graph: Elasticity limit
SOLID MATERIAL PROPERTIES F = k x Graph:
SOLID MATERIAL PROPERTIES Elastic potential energy: the energy (work done) stored in a spring , it is measured in Joules ? ? ? ? ??? = Assumption: it follows Hooke s law within elasticity limits
