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STRESS STRAIN AND YOUNGS MODULUS

Calculators and Explanation

Home>Tools>Stress, Strain and Young's Modulus calculator

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. 

Stress

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.
Picture
Where:
σ = Stress 
F = Force applied
A = Area Force applied to

Stress Calculator

Applied Force
Area the Force is Applied To



  Stress



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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.
Material failure, yield stress brass copper and steel pins
Looking for Young's modulus calculator? Scroll down to find the formula and calculator.

Strain

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.
Picture
Where:
ε = Strain
Δl = Change in length
l = Length

Strain Calculator

Change in length
Original Length



Strain



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Young's Modulus

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:
Picture
Where:
E = Young's Modulus
σ = Stress 
​ε
 = Strain

Youngs Modulus Calculator

  Stress
Strain



  Youngs Modulus



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Typical Values of Youngs Modulus

Material
Youngs Modulus (Gpa)
Reference
Carbon Steels
200-216
MDP
304 Stainless Steel
193
Matweb
316 Stainless Steel
193
Matweb
6061 t4 Aluminium
69
Matmatch
Acrylic
3.2
MAKEITFROM
ABS
0.8-6.1
Matweb
Iron
165-180
MDP
Copper
140
Matmatch
Concrete
25-38
MDP
Bamboo
15-20
MDP

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Photo used under Creative Commons from brendan.wood
  • NEWS
  • Calculators/Tools
    • Inch To Metric Conversion Table
    • Thermal Expansion Calculator
    • Stress, Strain and Young's Modulus
    • Beam Deflection Calculators >
      • Single Load Cantilever Beam Deflection Calculator
      • Single load supported beam deflection calculator
      • Even load cantilever beam deflection calculator
      • Even load supported beam deflection calculator
    • Cutting Speed, Spindle, Feed Rate MRR Calculators
    • Pressure Calculator
    • MTBF, MTTR and Reliability
    • Ohm's Law Calculator
    • Laws of Thermodynamics
    • Heat Transfer >
      • Radiation, Absorbance, Emissivity and Reflectivity
    • Theory of Constraints
    • Entropy and Specific Entropy Calculators
    • Alloying Elements of Steel
  • About
  • Contact Us