Calculators for Stress, Strain and Young's Modulus (Modulus of Elasticity, Elastic Modulus)
Stress, Strain and Young's Modulus are all factors linked to the performance of a material in a particular setting.
Simple Engineering Stress is similar to Pressure, in that in this instance it is calculated as force per unit area. Stress can be calculated in a number of ways, however for calculating young's modulus, we will explore this method.
σ = Stress
F = Force applied
A = Area Force applied to
A good way to envision Stress would be if you imagine a thumb tack, a coin and a piece of wood. If you press the coin onto the wood, with your thumb, very little will happen. However, if you do the same with the thumb tack (with the pointy end facing the wood, not your thumb...) it will break the surface of the wood. Even though the force applied to the wood is similar, the area it is applied to means the the stress applied to the surface of the wood is so high it causes the wood to yield to the pin.
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Normal Strain is a measure of a materials dimensions due to a load deformation. It takes the initial length and the extension of that length due to the load and creates a ratio of the two.
ε = Strain
Δl = Change in length
l = Length
Young's Modulus, Elastic Modulus Or Modulus of Elasticity takes the values for stress and strain to predict the performance of the material in many other scenarios, such as Beam Deflection. and is calculated using the formula below: