# elasticity and young s modulus theory examples and

• ### homework and exercisesModulus of ElasticityPhysics

1. Consider a cube of unit dimensions. Let α and β be the lateral and longitudinal strains. The expressions for moduli of elasticity on applying unit tension -. 1) At one edge Young s modulus E = 1 α. 2) Normally to all the sides Bulk modulus K = 1 3 ( α − 2 β)

• ### ElasticityThe Physics Hypertextbook

The symbol for Young s modulus is usually E from the French word élasticité (elasticity) but some prefer Y in honor of the scientist. Young s modulus is defined for all shapes and sizes by the same rule but for convenience sake let s imagine a rod of length ℓ 0 and cross sectional area A being stretched by a force F to a new length ℓ 0

• ### DEFINE TYPES OF MODULUS OF ELASTICITYMechanical

Let us see here the various types of modulus of elasticity. 1. Young s modulus of elasticity. 2. Modulus of rigidity. 3. Bulk modulus of elasticity. Let us first recall the concept of modulus of elasticity and after that we will see each type of modulus of elasticity in detail. As we have already discussed that within elastic limit stress

• ### Continuum MechanicsElasticity

Here E and are Young s modulus and Poisson s ratio is the coefficient of thermal expansion and is the increase in temperature of the solid. The remaining relations can be deduced from the fact that both and are symmetric. Young s modulus and Poisson s ratio are the most common properties used to characterize elastic solids but other

• ### 12.4 Stress Strain and Elastic Modulus (Part 1

Young s modulus Y is the elastic modulus when deformation is caused by either tensile or compressive stress and is defined by Equation 12.4.4. Dividing this equation by tensile strain we obtain the expression for Young s modulus (12.4.7) Y = t e n s i l e s t r e s s t

• ### Young s Modulushoffnerphysics

Stress and Strain must be found in order to find Young s Modulus. Stress is the overall cross-sectional area found on the wire. Stress is Force over Area while Area is based on the wire s cylindrical shape. The Force will be applied by a hanging mass. Strain is the change in length of the wire in relation to the initial length in the wire.

• ### Modulus of Elasticity of Concrete Concrete Technology

ADVERTISEMENTS In this article we will discuss about - 1. Definition of Modulus of Elasticity 2. Determination of Modulus of Elasticity 3. Measurement of Strains in Concrete 4. Types of Young Elastic Modulus 5. Relation with Strength 6. Factors Affecting 7. Uses. In the theory of reinforced concrete it is assumed that concrete is elastic isotropic

• ### What Is Young s Modulus Definition and Equation

Nov 13 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.The basic principle is that a material undergoes elastic deformation when it is compressed or extended returning to its original shape when the load is removed.

• ### 15. MODULUS OF ELASTICITY

Chapter 15 –Modulus of Elasticity page 79 15. MODULUS OF ELASTICITY The modulus of elasticity (= Young s modulus) E is a material property that describes its stiffness and is therefore one of the most important properties of solid materials. Mechanical deformation puts energy into a material. The energy is stored elastically or dissipated

• ### Modulus of elasticity explained The Genius Blog

Mar 29 2020 · Modulus of elasticity is also called Young s modulus or Elastic modulus. We all know the famous stress strain graph where we can find yield stress and ultimate tensile stress of a material. In the graph there is this linear stress region where Hooke s law makes sense. It is also the region where the material when deformed tends to revert

• ### Applications of modulus of elasticityBrainKart

Applications of modulus of elasticity. Knowledge of the modulus of elasticity of materials helps us to choose the correct material in right dimensions for the right application. The following examples will throw light on this. i) Most of us would have seen a crane used for lifting and moving heavy loads. The crane has a thick metallic rope.

• ### What Is Young s Modulus Definition and Equation

Nov 13 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.The basic principle is that a material undergoes elastic deformation when it is compressed or extended returning to its original shape when the load is removed.

• ### ElasticityThe Physics Hypertextbook

The symbol for Young s modulus is usually E from the French word élasticité (elasticity) but some prefer Y in honor of the scientist. Young s modulus is defined for all shapes and sizes by the same rule but for convenience sake let s imagine a rod of length ℓ 0 and cross sectional area A being stretched by a force F to a new length ℓ 0

• ### Elasticity (physics)Wikipedia

Young s modulus and shear modulus are only for solids whereas the bulk modulus is for solids liquids and gases. The elasticity of materials is described by a stress–strain curve which shows the relation between stress (the average restorative internal

• ### Elasticity and Young s Modulus (Theory Examples and

The new version of Hooke s law is . Now we have which is called Young s Modulus or the modulus of elasticity.Young s modulus provides the linear relationship between stress and strain. Young s modulus is the same for any material–you could take a spoon or a girder as long as they have the same young s modulus and you knew their sizes you could predict how much force would cause

• ### Solved Example Problems for Moduli of elasticity

Assume the load applied are the same and discuss the elastic property of the material. Write down the elastic modulus in ascending order. Solution. Here the elastic modulus is Young modulus and due to stretching stress is tensile stress and strain is tensile strain. Within the elastic limit stress is proportional to strain (obey Hooke s law).

• ### 12.4 Stress Strain and Elastic Modulus (Part 1

Young s modulus Y is the elastic modulus when deformation is caused by either tensile or compressive stress and is defined by Equation 12.4.4. Dividing this equation by tensile strain we obtain the expression for Young s modulus (12.4.7) Y = t e n s i l e s t r e s s t

• ### Can the modulus of elasticity/Young s modulus be negative

No. It will never be negative it it the positive slope that expresses the relationship or curve of applied stressed versus the resulting strain. Strain has the dimension say of inch/inch and is essentially a scalar. But it can possess sign and

• ### Stress Strain and Young s ModulusEngineering ToolBox

Modulus of Elasticity or Young s Modulus is commonly used for metals and metal alloys and expressed in terms 106 lbf/in2 N/m2 or Pa. Tensile modulus is often used for plastics and is expressed in terms 105 lbf/in2 or GPa. Shear Modulus of Elasticityor Modulus of Rigidity G = stress / strain = τ / γ

• ### What is Young s Modulus of ElasticityDefinition

The Young s modulus of elasticity is the elastic modulus for tensile and compressive stress in the linear elasticity regime of a uniaxial deformation and is usually assessed by tensile tests. Young s modulus is named after the 19th-century British scientist Thomas Young. Most polycrystalline materials have within their elastic

• ### What is Young s Modulus or Modulus of Elasticity

Apr 05 2018 · Young s Modulus is a mechanical property of the material where it can be called as modulus of Elasticity/Elastic Modulus. An English physician and physicist named Thomas Young described the elastic properties of materials. Young s modulus can be

• ### Elasticity physics Britannica

In other words σ is proportional to e this is expressed σ = Ee where E the constant of proportionality is called Young s modulus. The value of E depends on the material the ratio of its values for steel and rubber is about 100 000. The equation σ = Ee is known as Hooke s law and is an example of a constitutive law. It expresses in

• ### DEFINE TYPES OF MODULUS OF ELASTICITYMechanical

Let us see here the various types of modulus of elasticity. 1. Young s modulus of elasticity. 2. Modulus of rigidity. 3. Bulk modulus of elasticity. Let us first recall the concept of modulus of elasticity and after that we will see each type of modulus of elasticity in detail. As we have already discussed that within elastic limit stress

• ### Solved Example Problems for Moduli of elasticity

Assume the load applied are the same and discuss the elastic property of the material. Write down the elastic modulus in ascending order. Solution. Here the elastic modulus is Young modulus and due to stretching stress is tensile stress and strain is tensile strain. Within the elastic limit stress is proportional to strain (obey Hooke s law).

• ### homework and exercisesModulus of ElasticityPhysics

1. Consider a cube of unit dimensions. Let α and β be the lateral and longitudinal strains. The expressions for moduli of elasticity on applying unit tension -. 1) At one edge Young s modulus E = 1 α. 2) Normally to all the sides Bulk modulus K = 1 3 ( α − 2 β)