Young's Modulus: Formula for Calculation

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In summary, Hooke's Law can be used to calculate the Young's modulus of a system by combining the displacements and forces of samples placed end-to-end or side-by-side. If the material remains the same, the Young's modulus will not change since it is normalized. To express Young's modulus in terms of displacement and force, it can be expressed in terms of stress and strain.
  • #1
phymatter
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is there a formula to calculate the young modulous of a system like for resistances in series and parallel ?
 
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  • #2
Yes, by using Hooke's Law. When samples are placed end-to-end, their displacements add; side-by-side, the forces add.
 
  • #3
Mapes said:
Yes, by using Hooke's Law. When samples are placed end-to-end, their displacements add; side-by-side, the forces add.

thanks mapes ! but how will this give effective young's modulous ?
i am a bit confused , please help !
 
  • #4
if its the same material then Young's Modulus won't change since it is normalized.
 
  • #5
phymatter said:
thanks mapes ! but how will this give effective young's modulous ?
i am a bit confused , please help !

How do you express Young's modulus in terms of displacement and force? (Hint: express it in terms of stress and strain first.)
 

FAQ: Young's Modulus: Formula for Calculation

What is Young's Modulus and why is it important?

Young's Modulus, also known as the elastic modulus, is a measure of the stiffness of a material. It represents the amount of stress required to produce a given amount of strain in a material. This property is important because it helps engineers and scientists understand how materials will behave under different types of stress and allows them to design structures that can withstand these forces.

What is the formula for calculating Young's Modulus?

The formula for calculating Young's Modulus is E = σ / ε, where E represents Young's Modulus, σ represents stress, and ε represents strain. It is often expressed in units of Pascals (Pa) or pounds per square inch (psi).

What factors can affect the value of Young's Modulus?

The value of Young's Modulus can be affected by several factors, including the type of material, its microstructure, and its temperature. In general, stiffer materials tend to have higher values of Young's Modulus, while more flexible materials have lower values.

How is Young's Modulus measured in a laboratory setting?

Young's Modulus can be measured in a laboratory setting using a device called a tensile testing machine. This machine applies a known amount of force to a sample of the material and measures the resulting strain. By varying the amount of force and measuring the corresponding strain, scientists can determine the value of Young's Modulus for a given material.

What are some real-world applications of Young's Modulus?

Young's Modulus has many real-world applications, including in the construction of buildings, bridges, and other structures. It is also important in the design of medical devices, such as stents and prosthetics. Additionally, it is used in the development of new materials for various industries, such as aerospace and automotive.

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