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Notations Used In The Young’s Modulus Formula. E is Young’s modulus in Pa; 𝞂 is the uniaxial stress in Pa; ε is the strain or proportional deformation; F is the force exerted by the object under tension; A is the actual cross-sectional area; ΔL is the change in the length; L 0 is the actual length
Young’s Modulus or Elastic Modulus or Tensile Modulus, is the measurement of mechanical properties of linear elastic solids like rods, wires, etc. In this article, we will discuss its concept and Young’s Modulus Formula with examples.
Young's modulus (or Young modulus) is a mechanical property of solid materials that measures the tensile or compressive stiffness when the force is applied lengthwise. It is the modulus of elasticity for tension or axial compression .
Mar 20, 2022 · Young’s Modulus Formula. Young’s modulus compares tensile or compressive stress to axial strain. The formula for Young’s modulus is: E = σ / ε = (F/A) / (ΔL/L 0) = FL 0 / AΔL = mgL 0 / πr 2 ΔL. Where: E is Young’s modulus; σ is the uniaxial stress (tensile or compressive), which is force per cross sectional area
Learn about Young’s Modulus of Elasticity, what does it measure, its applications, and what factors affect the young’s modulus of a material.
Jun 14, 2023 · Young’s modulus \(Y\) is the elastic modulus when deformation is caused by either tensile or compressive stress, and is defined by Equation \ref{12.33}. Dividing this equation by tensile strain, we obtain the expression for Young’s modulus:
Young’s modulus is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression. Sometimes referred to as the modulus of elasticity, Young’s modulus is equal to the longitudinal stress divided by the strain.
Young’s modulus is then calculated as E = σ / ϵ, where σ is the stress and ϵ is the strain. [4] Initial Structure: Start with a relaxed structure of the material. All atoms should be in a state of minimum energy (i.e., minimum energy state with zero forces on atoms) before any deformations are applied. [5]
Jun 17, 2019 · The definition of Young's Modulus can be expressed as: Y = s t r e s s s t r a i n = F T A Δ L L o where F T is equal to the tension force, A is equal to the cross sectional area, Δ L is equal to the change in length due to the tension force, and L o is equal to the initial length of the material.
Nov 12, 2019 · Young's modulus (E or Y) is a measure of a solid's stiffness or resistance to elastic deformation under load. It relates stress ( force per unit area) to strain (proportional deformation) along an axis or line.
