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Young's Modulus

Young's modulus, also known as the elastic modulus, is a measure of the stiffness of a solid material. It is a mechanical property of linear elastic solid materials. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material.

Young's modulus of a material equals the product of the original length and the load divided by the cross-sectional area and the deformation.

Formula

QuantityVariable["E", "YoungsModulus"] == (QuantityVariable["L", "Length"]*QuantityVariable["P", "Force"])/(QuantityVariable["A", "Area"]*QuantityVariable["δ", "Length"])

symbol description physical quantity
E Young's modulus of material "YoungsModulus"
A area "Area"
L length "Length"
P load "Force"
δ deformation "Length"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Young's Modulus"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Young's Modulus"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Young's Modulus"], {QuantityVariable["L","Length"] -> 
   Quantity[200, "Millimeters"], 
  QuantityVariable["E","YoungsModulus"] -> 
   Quantity[210, "Gigapascals"], 
  QuantityVariable["A","Area"] -> Quantity[1000, ("Millimeters")^2]}]
Out[3]=

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