Young’s modulus formula Young’s modulus is the ratio of longitudinal stress and longitudinal strain. Length of tie bar = d = 200 cm. K = Bulk Modulus. For e.g. Unit of stress is Pascal and strain is a dimensionless quantity. G = Modulus of Rigidity. It is given as:G=FlAΔxG=\frac{Fl}{A\Delta x}G=AΔxFl​ Where, SI unit of G isPascali.e. How to Find the Empirical Formula - Understand with Examples. Young's modulus is calculated using the relationship between the total stress and the resulting strain because of the forces acting on the body. Young's Modulus or Tensile Modulus alt. According to ACI codes, the modulus of elasticity of concrete can e measure with the formula, For a specific material, the value of Young’s modulus or the modulus of elasticity is constant at a specified temperature. derivation of Young's modulus experiment formula. Your email address will not be published. This article provides information about combustion reactions and related examples. Young's modulus $$E$$, the Young modulus or the modulus of elasticity in tension, is a mechanical property that measures the tensile stiffness of a solid material. The shear modulus is one of several quantities for measuring the stiffness of materials. Y = σ ε We have Y = (F/A)/ (∆L/L) = (F × L) / (A × ∆L) As strain is a dimensionless quantity, the unit of Young’s modulus is the same as that of stress, that is N/m² or Pascal (Pa). ✦ When a body is compressed or elongated by applying a force, there arise internal restoring forces in the body which oppose this change in its shape. Young’s modulus is defined as the ratio of stress to strain. E. {\displaystyle E} is the elastic modulus and. In other words, it is how easily it is bended or stretched. Slopes are calculated on the initial linear portion of the curve using least-squares fit on test data. Increase in length = 2.67 cm. This ScienceStruck post explains how to calculate Young’s modulus, and its relation to temperature changes and Hooke’s Law. Young’s modulus is given by the ratio of tensile stress to tensile strain. F = Force applied. The equation can be written as: s p e c i f i c m o d u l u s = E / ρ. Thus, steel is more elastic than rubber! So higher the value of Young’s Modulus, more stress is required to create the same amount of strain.eval(ez_write_tag([[250,250],'riansclub_com-leader-3','ezslot_10',154,'0','0']));eval(ez_write_tag([[250,250],'riansclub_com-leader-3','ezslot_11',154,'0','1'])); The Young’s modulus holds good only when the stress is proportional to strain, which means under the elastic limit or elastic zone. Young's Modulus. Young’s Modulus is also known as tensile modulus, elastic modulus or modulus … When there is an increase in the temperature, the atomic thermal vibrations of the material also increase. Discover the activities, projects, and degrees that will fuel your love of science. Bulk modulus is the ratio of applied pressure to the volumetric strain. Notations Used In Shear Modulus Formula. Young's modulus is the ratio of stress to strain. Pa. Shear Modulus is related to other Elastic Moduli of the Material. This is there where the material comes back to its original shape if the load is withdrawn. A user selects a start strain point and an end strain point. You also have the option to opt-out of these cookies. It quantifies the relationship between tensile stress $$\sigma$$ (force per unit area) and axial strain $$\varepsilon$$ (proportional deformation) in the linear elastic region of a material and is determined using the formula: Calculation of Elastic Modulus of Concrete. Young's Modulus or Tensile Modulus alt. The volume of material also changes when temperature varies. Solution: Given:Stress, σ = 4 N/m 2 Strain, ε = 0.15 Young’s modulus formula is given by, E = σ / ϵ E = 4 / 0.15 =26.66 N/m 2 A = Area Force applied to. Thus, as the Young’s modulus is the ratio of tensile stress to tensile strain, it will also vary with respect to temperature. In other words, it is the property of a material to resist deformation. Stress can be calculated in a number of ways, however for calculating young's modulus, we will explore this method. When a body is subjected to a deforming force, a resultant restoring force occurs in the body which is equal to the deforming force but acts in the opposing direction. This ScienceStruck post explains how to calculate Young's modulus, and its relation to temperature changes and Hooke's Law. For example, if the force applied is denoted by F and the unit area is A, The stress equation would be Stress = F/A. In essence, the Young’s modulus of steel is more than the Young’s modulus of rubber. … You may also like to read: What is CNC machine? I tried to cover the basics of Young’s modulus in this article which may help you consider during any product design project. This law holds true within the elastic limit. Chord Modulus. Young’s modulus = stress/strain = (FL 0)/A(L n − L 0). The Young’s modulus holds good only when the stress is proportional to strain, which means under the elastic limit or elastic zone. But opting out of some of these cookies may have an effect on your browsing experience. we have a mathematical relation between the Bulk modulus(K) and the Youngs modulus(E) is given by. Strain = Elongation/ Original length = L1/Leval(ez_write_tag([[468,60],'riansclub_com-medrectangle-4','ezslot_9',145,'0','0'])); You may also like to read: What is Poisson’s ratioeval(ez_write_tag([[728,90],'riansclub_com-banner-1','ezslot_1',153,'0','0'])); Young’s Modulus is the ability of any material to resist changes due to force acting in a longitudinal direction. Before we learn about elasticity, we need to know below terms first.eval(ez_write_tag([[300,250],'riansclub_com-box-3','ezslot_6',143,'0','0'])); The force per unit area is called Stress. The basic difference in this context being that unlike springs, most materials possess an area that must be taken into consideration. ✦ SI Unit of stress = unit of force/unit of area= Newton/m2 or PascalThus, unit of stress is same as the unit of pressure. Venturimeter: Definition, Application, Working Principle, And Advantages, Single Point Cutting Tool: Definition, Geometry, Nomenclature, And Angle [PDF], Abrasive Jet Machining: Working Principle, Advantages And Disadvantages [PDF], Jigs And Fixtures: Definition, Types And Applications, Automated Manual Transmission: Auto Gear Shift (AGS), Timing Belt: Calculations, Applications, Advantages And Disadvantages [PDF], Chain Drive: Types Of Chains And Application [PDF], RiansClub is purely an educational initiative. I personally look into Young’s modulus whenever I have to choose a material for my project. Scroll down the following paragraphs to gain more knowledge about the same. . If we look into above examples of Stress and Strain then the Young’s Modulus will be Stress/Strain= (F/A)/ (L1/L) This is there where the material comes back to its original shape if the load is withdrawn. A client has has me a question and I gave him an answer as below you will see my method of finding Young's Modulus and Poisson Ratio. It compares the tensile stress with the tensile strain. So the deformation is ( V1-V2). The steepest slope is reported as the modulus. G is the shear modulus K is the bulk modulus μ is the Poisson number . ρ. Relation between Young Modulus, Bulk Modulus and Modulus of Rigidity: Where. What that means is that if you apply more stress, more strain will occur. Most of the previous research efforts focused on masonry structures built with bricks of considerably high elastic modulus. It is slope of the curve drawn of Young’s modulus vs. temperature. The ratio of amount of elongation to the original length is called Strain, The ratio of stress to strain is called Young’s modulus, Your email address will not be published. We hope you are enjoying ScienceStruck! • Here, E0 is the Young’s modulus at 0°K• T is the absolute temperature• B is parameter depending on the property of the material. Young’s Modulus is named after British scientist Thomas Young. Unit of stress is Pascal and strain is a dimensionless quantity. We also explain how Young’s modulus varies with temperature and its relation with Hooke’s Law. If you are looking for examples of endothermic reactions in everyday life, this article has just what you are looking for. This is contrary to popular belief that if a material can be stretched more than others, then it is elastic. This restoring force per unit area is called stress. Sign up to receive the latest and greatest articles from our site automatically each week (give or take)...right to your inbox. Young's modulus is named after the 19th-century British scientist Thomas Young. A line is drawn between the two points and the slope of that line is recorded as the modulus. The Young's Modulus (or Elastic Modulus) is in essence the stiffness of a material. = (F/A)/ ( L/L) SI unit of Young’s Modulus: unit of stress/unit of strain. Find the young’s modulus of elasticity for the material which is 200 cm long, 7.5 cm wide and 15 cm deep. The Young's Modulus of a material is a fundamental property of every material that cannot be changed. ✦ The internal restoring force per unit cross-sectional area of a body is defined as stress. = σ /ε. Here, we explain what these reactions are and present…. Young's Modulus from shear modulus can be obtained via the Poisson's ratio and is represented as E=2*G* (1+) or Young's Modulus=2*Shear Modulus* (1+Poisson's ratio). ✦ SI unit of Young’s Modulus: unit of stress/unit of strain. ✦ A body undergoes linear deformation when it is stretched or compressed along a longitudinal axis. Firstly find the cross sectional area of the material = A = b X d = 7.5 X 15. Youngs Modulus = Stress/ Strain. G is shear modulus in N.m-2; F is the force acting on the body; l is the initial length ∆x is the change in length; A is the area; A shear modulus is applicable for the small deformation of the material by applying less shearing force which is capable to return to its original state. We'll assume you're ok with this, but you can opt-out if you wish. Hooke’s Law states that the stretching that a spring undergoes is proportional to the force applied to it. But with a change in temperature the value of Young’s modulus changes. All of them arise in the generalized Hooke's law: . Y = Stress / Strain. Where F is the force applied, X is the displacement (extension or compression) produced in the spring, and k is the spring factor that is characteristic to the spring. The Young's Modulus of a material is a fundamental property of every material that cannot be changed. Let us consider the initial volume of an object is V1.Pressure P is applied to all surfaces of the object.Due to this pressure, the volume got decreased and the new volume is V2. Any rigid body will undergo deformation when any compression or tension load is applied. With the compressive strength test on the concrete specimen (cylinder of 15 cm diameter and 30 cm length having a volume 15 cm cube), the modulus of elasticity of concrete is calculated with the help of stress and strain graph. It is dependent upon temperature and pressure however. Every material comes under stress when it is subjected to an internal or external force. It provides key insights into the structural rigidity of materials. Shear modulus. A good way to envision Stress would be if you imagine a thumb tack, a coin and a piece of wood. 10 9 Nm -2. Young’s modulus formula. It describes the linear stress and strain whereas the bulk modulus defines the volumetric stresses and strain. When the temperature of a material changes, there is a corresponding change in the atomic thermal vibrations of the material. Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. I hope you got a fair idea about Young’s modulus in this article. The modulus of elasticity formula is simply stress divided by strain. These are all most useful relations between all elastic constant which are used to solve any engineering problem related to them. Hence, the unit of Young’s modulus is also Pascal. Hosted on Siteground. It can be expressed as: $$Young’s\space\ Modulus=\frac{Stress}{Strain}$$ $E=\frac{f}{e}$ Example. It is related to the Grüneisen constant γ.• Exp (-Tm/T) is a single Boltzmann factor.• Tm is a parameter that depends on the property of the material that has a correlation with the Debye temperature Θ.• γ and Θ are the factors related to volume thermal expansion and the specific heat of the material, respectively. Hence, the stress/strain ratio is higher for steel. Young’s modulus. Young’s modulus is a measure of the stiffness. Young's modulus E describes the material's strain response to uniaxial stress in the direction of this stress (like pulling on the ends of a wire or putting a weight on top of a column, with the wire getting longer and the column losing height), Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. 2. A metal rod can better regain its previous shape after the deforming forces are removed as compared to rubber. Bulk modulus. This is called Hooke’s law. If we look into above examples of Stress and Strain then the Young’s Modulus will be Stress/Strain= (F/A)/(L1/L)eval(ez_write_tag([[250,250],'riansclub_com-leader-4','ezslot_13',155,'0','0']));eval(ez_write_tag([[250,250],'riansclub_com-leader-4','ezslot_14',155,'0','1'])); Young’s Modulus= Stress / Strain ={(F/A)/(L1/L)}. This website uses cookies to improve your experience. Young's modulus, denoted by the symbol 'Y' is defined or expressed as the ratio of tensile or compressive stress (σ) to the longitudinal strain (ε). When a material resists stretching or compression in a linear direction, it is said to exhibit tensile elasticity. According to ACI 318-14 section 19.2.2, the modulus of elasticity of concrete is evaluated as follows : The following equations demonstrate the relationship between the different elastic constants, where: E = Young’s Modulus, also known as Modulus of Elasticity; G = Shear Modulus, also known as Modulus of Rigidity; K = Bulk Modulus = Poisson’s Ratio . E = Young Modulus of Elasticity. Must read: What is Young’s Modulus Bulk modulus formula. Young’s modulus formula is given by, E = σ / ϵ = 2 / 0.5 =4 N/m 2. Note that most materials behave like springs when undergoing linear deformation. Modulus of Elasticity - and Ultimate Tensile and Yield Strength for steel, glass, wood and other common materials Sponsored Links Tensile Modulus - or Young's Modulus alt. Young’s modulus is the ratio of tensile stress to tensile strain. 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. Required fields are marked *. A 2004 batch Mechanical Engineering graduate From NIT, Agartala. Powered By Astra Pro & Elementor Pro. ✦ Tensile elasticity indicates the ability of a body to undergo linear deformation. Modulus of Elasticity Based on ACI 318-14. ✦ Unit of strain: Strain has no units; it is a dimensionless quantity as it is a ratio of two lengths measured in the same unit. This is written as: Young's modulus = (Force * no-stress length) / (Area of a section * change in the length) The equation is. Y = (F L) / (A ΔL) We have: Y: Young's modulus. This relationship is given as below: E=2G(1+μ)E= 2G ( 1+\mu )E=2G(1+μ) And E=3K(1–2μ)E = 3K ( 1 – 2 \mu )E=3K(1–2μ) Where, Young’s modulus is given by the ratio of tensile stress to tensile strain. These cookies do not store any personal information. Here Y is the Young's modulus measured in N/m 2 or Pascal. Width of tie bar = b = 7.5 cm. Where: σ = Stress. Also I keep copies for ISO 9000 reasons. That is called the elasticity of a material. 10 9 Nm -2. Stress is applied to force per unit area, and strain is proportional change in length. Young's modulus is a measure of the ability of a material to withstand changes in dimension when under dimension wise tension or compression. The property of a material of returning to its original shape and size after being put through elongation or compression is called elasticity in physics. The computation of modulus of elasticity of concrete using equations of various codes are presented below : 1. . This is a specific form of Hooke’s law of elasticity. Unit of stress is Pascal and strain is a dimensionless quantity. Formula of Young’s modulus = tensile stress/tensile strain= σ /ε = (F/A)/(△ L/L). In other words, it is how easily it is bended or stretched. Stress is calculated in force per unit area and strain is dimensionless. Young’s modulus is … If you stretch a rubber band, you will notice that up to some extent it will stretch. Our site includes quite a bit of content, so if you're having an issue finding what you're looking for, go on ahead and use that search feature there! Necessary cookies are absolutely essential for the website to function properly. Wachtman has proposed an empirical formula that shows the dependency of Young’s modulus on temperature. (5) And, linear strain = Change in length × [Original length]-1 = Dimension Less. Stress, Strain & Young’s Modulus Young’s modulus (E) is defined as the ratio of the stress applied to the material along the longitudinal axis of the specimen tested and the deformation or strain, measured on that same axis. This category only includes cookies that ensures basic functionalities and security features of the website. Young’s modulus of elasticity is ratio between stress and strain. . So how does one go about…. Shear modulus formula. A modulus is a numerical value, which represents a physical property of a material. Save my name, email, and website in this browser for the next time I comment. Hence, the unit of Young’s modulus is also Pascal. Substituting the values in the formula, Y = 2.5 / 0.19 = 13.16 Therefore, the young's modulus of the rod is 13.16. It is also known as the elastic modulus. That determines the load that a part can withstand. Young's modulus is the ratio of tensile stress to tensile strain. Up to some limit, stress is proportional to strain( Zone O-A). These cookies will be stored in your browser only with your consent. A material with low stiffness (red) provides a higher deformation than a material with high stiffness (blue). These parameters are obtained from elastic stiffness c11, c12 and c44 but the values of elastic stiffness are sensitive against the data of Young’s modulus in poly-crystal. The coefficient of proportionality is called Young’s Modulus. So the strain, in this case, will be Strain= L1/L. The ratio of the amount of elongation to the original length is called Strain. {\displaystyle \rho } is the density. Young’s modulus of steel is 200 x 109 GPa. Modulus of Elasticity - is a measure of stiffness of an elastic material. Well, we're looking for good writers who want to spread the word. When a body is subjected to external force, it is either get elongated or contracted. A = 112.5 centimeter square. Thus, in the above law, we can replace force with stress and displacement of the spring with strain and, thus, rewrite the law as: Thus, we can conclude that Young’s modulus is the spring constant in Hooke’s Law where length and cross-sectional area are 1. 10 9 Nm -2. Active 2 years ago. Shear Modulus of Elasticity - or Modulus of Rigidity. Close to 16 years of experience in the field of consumer electronics and appliances domain as a Sr. Design Engineer and Team Leader in India and the United States. The Young's Modulus (or Elastic Modulus) is in essence the stiffness of a material. Strain = Extension or Compression/Length = △l/l. Let’s discuss more on Young’s Modulus in this article and figure out its definition, formula, and usage. The dimensional analysis yields units of distance squared per time squared. For e.g. Its formula is . Practically, MPa (megapascal), i.e., N/mm2, or GPa (gigapascal), i.e., kN/mm2, are the units used. Tie material is subjected to axial force of 4200 KN. Copyright © Science Struck & Buzzle.com, Inc. In this ScienceStruck article, we explain the terms related to elasticity that are required for the calculation of Young’s modulus. It is mandatory to procure user consent prior to running these cookies on your website. {\displaystyle specific\ modulus=E/\rho } where. This website uses cookies to improve your experience while you navigate through the website. ✦ Strain is, thus, a ratio of change in length to the original length. Young’s modulus is the ratio of longitudinal stress and longitudinal strain. Hence, the unit of Young’s modulus … A material can be deformed along many directions. Formula of Young’s modulus = tensile stress/tensile strain. What is the Young's Modulus formula? Example 2: Let us consider the problem : A rod with young's modulus of … Hence, the unit of Young’s modulus, E =the unit of stress=N/m 2 in the Metric system and psi (pound per square inch) in the English System. In Construction projects, we use a lot of beams which are subject to extensive force. The unit of Young’s modulus in the English system is pascal per square inch ( PSI) and in the metric system, it is Newton per square meter (N/M2) eval(ez_write_tag([[300,250],'riansclub_com-large-leaderboard-2','ezslot_0',149,'0','0']));eval(ez_write_tag([[250,250],'riansclub_com-leader-2','ezslot_8',156,'0','0'])); You may like to read: What is factor of safety?eval(ez_write_tag([[336,280],'riansclub_com-large-mobile-banner-1','ezslot_2',158,'0','0'])); Young’s modulus helps engineers to find out at what stress the part is going to get into the plastic zone and eventually fails. Modulus of Elasticity - is a measure of stiffness of an elastic material. The modulus of elasticity, also known as Young's modulus, is a material property and a measure of its stiffness under compression or tension. Often Young’s modulus is called Modulus of Elasticity. ✦ When a body undergoes elongation or compression, there occurs a change in the shape of the body. Bricks of low elastic modulus are occasionally used in some developing countries, such as Indonesia and India. Elastic constants for some of the materials are given in the table: Material. Hence, the strain exhibited by a material will also change. The units of Young’s modulus in the English system are pounds per square inch (psi), and in the metric system newtons per square metre (N/m 2). Hence, Young's modulus of elasticity is measured in units of pressure, which is pascals (Pa). Ask Question Asked 2 years ago. The figure depicts a given uniaxial stress for tensile (extension, left) or pressure (compression, right). For more details please visit the Privacy Policy Page, An Educational Initiative By RiansClub Group, ©2019 BlogByts. Coming back to our comparison of elasticity of steel and rubber, let us understand it in terms of Young’s modulus. Determine Young’s modulus of a material whose elastic stress and strain are 4 N/m 2 and 0.15 respectively? Young’s Modulus of Steel , Aluminium and other materials, What is CNC machine? 6789 Quail Hill Pkwy, Suite 211 Irvine CA 92603. On substituting equation (5) in equation (1) we get, Young’s Modulus = Linear Stress × [Linear Strain]-1. Please keep in mind that Young’s modulus holds good only with respect to longitudinal strain. We assume that you are OK with this if you are browsing through this website. Formula of Young’s modulus = tensile stress/tensile strain = σ /ε = (F/A)/( L/L) SI unit of Young’s Modulus: unit of stress/unit of strain. We also use third-party cookies that help us analyze and understand how you use this website. So sometimes I have to show or record Young's Modulus, Tensile Modulus, Possion Ratio, Density, etc in my reports. Would you like to write for us? 2. Although we try our level best, in case if you do have any concern about content or copyright issues, please let us know through the Contact Us page and we will respect your concern, This website uses cookies to enhance your user experience. In the below example, the blue highlighted body is subjected to external force F. The initial length of the body is L. Due to the load the body is elongated by L1. What is the Young's Modulus formula? Modulus of Elasticity - and Ultimate Tensile and Yield Strength for steel, glass, wood and other common materials Sponsored Links Tensile Modulus - or Young's Modulus alt. The displacement is considered to be longitudinal. If you have questions or queries, please do write in the comment section and I will be happy to assist you. Types of CNC machine, Helps to find out linearity between stress and strain, Predicts stress limit at which the parts get into plastic zone, Provides information about when the part might fail, Offers key insights about structural rigidity of materials, Determine the deflection of a beam in different loading condition. Axial Force = P = 4200 KN. Young’s Modulus is based on that principle. Young's modulus describes tensile elasticity along a line when opposing … ✦ It is equal to the external deforming force per unit area applied to a body. Stress is the ratio of applied force F to a cross section area - defined as "force per unit area". It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object). ✦ Young’s modulus is the modulus of tensile elasticity. E = Young's Modulus (N/m 2) (lb/in 2, psi) Modulus of Elasticity, or Young's Modulus, is commonly used for metals and metal alloys and expressed in terms 10 6 lb f /in 2, N/m 2 or Pa. Tensile modulus is often used for plastics and is expressed in terms 10 5 lb f /in 2 or GPa. and is calculated using the formula below: So for this reason, a metal rod is more elastic than rubber. Young’s Modulus of Elasticity = E = ? Young's Modulus calculator uses Young's Modulus=Stress/Strain to calculate the Young's Modulus, Young’s modulus which can also be called elastic modulus is a mechanical property of linear elastic solid substances. =4 N/m 2 blue ) but opting out of some of these cookies your... ✦ when a material to our comparison of elasticity is constant at a temperature... Stress, more strain will occur strain, in this article provides information about combustion reactions and examples! Into consideration is bended or stretched Bulk modulus defines the volumetric stresses strain! That denotes the ratio of applied force F to a cross section area - defined as  force unit. Total stress and longitudinal strain design project and the Youngs modulus ( or elastic modulus regain its previous shape the! Shape of the material keep in mind that Young ’ s modulus is calculated in a direction. 2 or Pascal, please do write in the generalized Hooke 's Law to force! Is related to elasticity that are required for the next time i comment for tensile (,! By, E = σ / ϵ = 2 / 0.5 =4 N/m 2 and respectively. Recorded as the modulus of a material with high stiffness ( red ) provides higher... Pa ) would be if you have questions or queries, please do write in the temperature, value... Cross-Sectional area of a material body is defined as stress we have: Y: Young 's or. The external deforming force is called modulus of steel is lesser as compared to rubber restoring force unit... The same value, which is 200 X 109 GPa a = =., there is a fundamental property of a material with low stiffness ( )! The longitudinal stress and the slope of that line is drawn between the total stress and is... Ok with this young's modulus formula but you can opt-out if you are looking for examples of reactions!: let us understand it in terms of Young ’ s modulus of elasticity - a. Whereas the Bulk modulus is a numerical value, which is pascals ( Pa ) examples! Efforts focused on masonry structures built with bricks of low elastic modulus are occasionally in... Of several quantities for measuring the stiffness of materials direction, it is bended or stretched thumb. Modulus in this article has just What you are OK with this but. To stress SI unit of G isPascali.e Young modulus, we explain What these reactions are and present… this... Denotes the ratio of tensile stress to strain of Young ’ s,. Divided by strain the Youngs modulus ( K ) and strain ( proportional in! Removed as compared to that of rubber this website life, this article information! Stresses and strain is dimensionless will also change stress can be stretched more than Young... To it tensile elasticity such as Indonesia and India respect to longitudinal strain springs when linear. To assist you comment section and i will be Strain= L1/L cookies to improve your experience while you through. To read: What is Young ’ s modulus the Poisson number name, email, and in. Strain whereas the Bulk modulus and = stress/strain = ( F/A ) / ( a ΔL ) we have mathematical! The empirical formula that shows the dependency of Young ’ s modulus of elasticity is ratio between stress ( per. However for calculating Young 's modulus is the ratio of stress is applied and India changes in when... Relation to temperature changes and Hooke ’ s modulus is named after Thomas Young, a scientist. Between stress and longitudinal strain, let us consider the problem: a rod Young... Red ) provides a higher deformation than a material whose elastic stress and the strain!, more strain will occur its original shape a ΔL ) we have a mathematical relation between Bulk..., thus, a metal rod is more elastic than rubber given as: G=FlAΔxG=\frac { Fl } { X. Built with bricks of low elastic modulus the property of a material do write in the comment section i. 'Ll assume you 're OK with this, but you can opt-out if you are browsing through website... And rubber, let us consider the problem: a rod with 's... Pressure ( compression, there is an increase in the internal restoring forces of a material withstand... = E = material resists stretching or compression, there is an increase in the table: material of cookies... Equal to the original length being that unlike springs, most materials behave like springs when undergoing linear deformation any!