### 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

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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

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YOUNG S MODULUS Young s modulus is the modulus of tensile elasticity. Tensile elasticity indicates the ability of a body to undergo linear deformation. A body undergoes linear deformation when it is stretched or compressed along a longitudinal axis. Young s modulus is given by the ratio of tensile stress to tensile strain.

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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

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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.

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Jan 19 2021 · Elasticity Young s Modulus for Tissue Analysis. As part of the engineering design process to create testable model heart valves students learn about the forces at play in the human body to open and close aortic valves. They learn about blood flow forces elasticity stress strain valve structure and tissue properties and Young s modulus

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Experiment Determination of Young s Modulus. Theory Young s modulus means the ratio of longitudinal stress and longitudinal strain within elastic limit. It is denoted by Y. If at the lower end of wire of length L and cross-sectional area of A a load of m is pressed and if the length increases by l then

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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

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Youngs modulus determines the elasticity of the material and the yield point is the stress at which the material undergoes considerable deformation (usually 0.2 ). These factors have

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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.

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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

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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)

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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

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Sep 11 2020 · Elastic Modulus Symbol Elasticity modulus or Young s modulus (commonly used symbol E) is a measure for the ratio between the stress applied to the body and the resulting strain. Elasticity Elasticity defines a property of an object that has the ability to regain its original shape after being stretched or compressed.

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Young s modulus equation is E = tensile stress/tensile strain = (FL) / (A change in L) where F is the applied force L is the initial length A is the square area and E is Young s modulus in Pascals (Pa). Using a graph you can determine whether a material shows elasticity.

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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.

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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

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1 TO DETERMINE YOUNG S MODULUS OF ELASTICITY OF THE MATERIAL OF A BAR BY THE METHOD OF FLEXURE Aim To determine the Young s modulus of elasticity of the given material. Apparatus meter scale screw gauge spherometer and slide caliper Theory If a light bar of breadth b and depth d is placed horizontally on two Knife-edges separated by a distance L and a load of mass

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A Realistic Way to Obtain Equivalent Young s Modulus of Layered Soil 307 Example 1 The degree of compactness of sand layers increases with depth. Fig. 2

Get Price### 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.

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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

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Young s modulus is a numerical constant named by English physicist Thomas Young in 1807. The property of elasticity is the result of interatomic attraction found in any material at microscopic levels. Naturally it will be the greatest in the case of solids and the least in the case of gas. The elasticity of gas is almost negligible.

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Similarly in cases where flexibility is required a material possessing a low modulus of elasticity is considered. An example of material having a high Modulus of Elasticity is diamond which changes its shape only slightly under an elastic load. A flexible material such as rubber has a

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52 rows · Nov 13 2019 · Young s modulus (E or Y) is a measure of a solid s stiffness or resistance

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Dec 28 2020 · The modulus of elasticity also known as Young s modulus is a material property and a measure of its stiffness under compression or tension. Stress is applied to force per unit area and strain is proportional change in length. The modulus of elasticity formula is

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