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Application of Modulus of
Elasticity
HELLO!
I am Niranjan Shri Venkatesh
I am here because I love to give presentations.
You can reach me at niranjanshri@outkook.com
2
Intorduction
1. Elasticity is the ability of an object or material to resume its
normal shape after being stretched or compressed. Example: A
rubber regains its shape after a long stretch because of its elastic
property.
2. Neoprene (also polychloroprene) is a family of synthetic rubbers
that are produced by the polymerization of chloroprene.
Neoprene exhibits good chemical stability and maintains flexibility
over a wide temperature range.
Types of Elastic Modulus
4
1. Shear modulus or modulus of rigidity (G)
2. Young’s modulus or modulus of Elasticity €
3. Bulk modulus (K)
Shear modulus or
modulus of rigidity (G)
Let’s start with the first set of slides
Shear modulus
6
1. Shear modulus or modulus of rigidity So beam deflections, vibrations, all that
will indirectly depend on shear modulus
2. shearing modulus, is used to determine how elastic or bendable materials
will be if they are sheared, which is being pushed parallel from opposite
sides. This property becomes the useful part of many calculations, and it is
called the coefficient of elasticity during shearing
3. Shear modulus, also known as Modulus of rigidity, is the measure of the
rigidity of the body, given by the ratio of shear stress to shear strain. It is
often denoted by G sometimes by S or μ
Shear modulus
7
Young’s modulus (€)
Let’s start with the Second set of slides
Young’s modulus (€)
9
1. Young modulus, or the modulus of elasticity in tension or compression (i.e.,
negative tension), is a mechanical property that measures the tensile or
compressive stiffness of solid material when the force is applied lengthwise
2. Material stiffness should not be confused with these properties
3. The units of Young's modulus in the English system are pounds per square
inch (psi), and in the metric system newtons per square meter (N/m2). The
value of Young's modulus for aluminum is about 1.0 × 107 psi, or 7.0 × 1010
N/m2.
Youngs modulus
10
Bulk modulus (K)
Let’s start with the third set of slides
Bulk modulus (K)
12
1. Other moduli describe the material's response (strain) to other kinds of stress:
the shear modulus describes the response to shear stress, and Young's
modulus describes the response to normal (lengthwise stretching) stress For
a fluid, only the bulk modulus is meaningful
2. For a complex anisotropic solid such as wood or paper, these three moduli do
not contain enough information to describe its behavior and one must use the
full generalized Hooke's law.
3. The reciprocal of the bulk modulus at a fixed temperature is called isothermal
compressibility.
Bulk modulus
13
THANKS!
Any questions?
You can reach me at
niranjanshri@outlook.com
14

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Application of Modulus of Elasticity.pptx

  • 1. Application of Modulus of Elasticity
  • 2. HELLO! I am Niranjan Shri Venkatesh I am here because I love to give presentations. You can reach me at niranjanshri@outkook.com 2
  • 3. Intorduction 1. Elasticity is the ability of an object or material to resume its normal shape after being stretched or compressed. Example: A rubber regains its shape after a long stretch because of its elastic property. 2. Neoprene (also polychloroprene) is a family of synthetic rubbers that are produced by the polymerization of chloroprene. Neoprene exhibits good chemical stability and maintains flexibility over a wide temperature range.
  • 4. Types of Elastic Modulus 4 1. Shear modulus or modulus of rigidity (G) 2. Young’s modulus or modulus of Elasticity € 3. Bulk modulus (K)
  • 5. Shear modulus or modulus of rigidity (G) Let’s start with the first set of slides
  • 6. Shear modulus 6 1. Shear modulus or modulus of rigidity So beam deflections, vibrations, all that will indirectly depend on shear modulus 2. shearing modulus, is used to determine how elastic or bendable materials will be if they are sheared, which is being pushed parallel from opposite sides. This property becomes the useful part of many calculations, and it is called the coefficient of elasticity during shearing 3. Shear modulus, also known as Modulus of rigidity, is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G sometimes by S or μ
  • 8. Young’s modulus (€) Let’s start with the Second set of slides
  • 9. Young’s modulus (€) 9 1. Young modulus, or the modulus of elasticity in tension or compression (i.e., negative tension), is a mechanical property that measures the tensile or compressive stiffness of solid material when the force is applied lengthwise 2. Material stiffness should not be confused with these properties 3. The units of Young's modulus in the English system are pounds per square inch (psi), and in the metric system newtons per square meter (N/m2). The value of Young's modulus for aluminum is about 1.0 × 107 psi, or 7.0 × 1010 N/m2.
  • 11. Bulk modulus (K) Let’s start with the third set of slides
  • 12. Bulk modulus (K) 12 1. Other moduli describe the material's response (strain) to other kinds of stress: the shear modulus describes the response to shear stress, and Young's modulus describes the response to normal (lengthwise stretching) stress For a fluid, only the bulk modulus is meaningful 2. For a complex anisotropic solid such as wood or paper, these three moduli do not contain enough information to describe its behavior and one must use the full generalized Hooke's law. 3. The reciprocal of the bulk modulus at a fixed temperature is called isothermal compressibility.
  • 14. THANKS! Any questions? You can reach me at niranjanshri@outlook.com 14