Young's Modulus: Difference between revisions

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===Simple===
===Simple===
A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a diameter of 10 cm. With the knowledge that bone has a Young’s
modulus of ~ 1.6e10 in tension, what force was used to stretch the femur?
===Middling===
===Middling===
===Difficult===
===Difficult===

Revision as of 13:54, 4 December 2015

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

The Main Idea

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

A Mathematical Model

The definition of Young's Modulus can be expressed as: [math]\displaystyle{ {Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L}} }[/math] where [math]\displaystyle{ {F}_{T} }[/math] is equal to the tension force, [math]\displaystyle{ A }[/math] is equal to the cross sectional area, [math]\displaystyle{ ΔL }[/math] is equal to the change in length due to the tension force, and [math]\displaystyle{ L }[/math] is equal to the new length of the material.

A Computational Model

Examples

Be sure to show all steps in your solution and include diagrams whenever possible

Simple

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2 m. The flan has a diameter of 10 cm. With the knowledge that bone has a Young’s modulus of ~ 1.6e10 in tension, what force was used to stretch the femur?

Middling

Difficult

Connectedness

  1. Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
  2. My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
  3. Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

History

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.


See also

Leonhard Euler

Thomas Young

Further reading

Books, Articles or other print media on this topic

External links

Internet resources on this topic

References

This section contains the the references you used while writing this page