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PRESENTATION

LORD MAHAVIRA JAIN PUBLIC


SCHOOL
Phagwara
TOPIC : A Glance At Modulus Of
Elasticity
Session : 2017-2018
Submitted To : Submitted By :
Mr. Nirkesh Navneet ,
Sharma Kashish
ACKNOWLEDGEMENT
Primarily, I would thank god for being able to complete this
project with success. Then I would like to thank my Physics
teacher Mr. Nirkesh Sharma , whose valuable guidance has
been the ones that helped me patch this project and make it
full proof success his suggestions and his instructions has
served as major contributor towards the completion of the
project
Then I would like to thank my parents and friends who have
helped me with their valuable suggestions and guidance has
been helpful in various phases of the completion of the
project.
CERTIFICATE
This is to certify that Kashish and
Navneet , students of class 11th
have successfully completed the
research on the below mentioned
project under the guidance of Mr.
Nirkesh Sharma during the year
2017-2018.
MODULUS OF ELASTICITY

The ratio of stress


applied to body or
substance to the
resulting strain
within the elastic
limit or elastic
modulus.
• Young's modulus, also known as the elastic
b

modulus , is a measure of the stiffness of a


solid material
• It defines the relationship between stress
(force per unit area) and strain in a material.
• Young's modulus is named after the 19th-
century British scientist Thomas Young.
• The term modulus is the root meaning of the
Latin term modus which means measure.
A solid material will deform when a load is
applied to it. If it returns to its original shape
after the load is removed, this is called Elastic
Deformation. In the range where the ratio
between load and deformation remains
constant, the stress-strain curve is linear. Not
many materials are linear and elastic beyond a
small amount of deformation. A stiff material
needs more force to deform compared to a soft
material, and an infinite force would be needed
to deform a perfectly rigid material, implying
that it would have an infinite Young's modulus.
Elastic modulus has the form.
UNITS OF ELASTICITY
Young's modulus is the ratio of stress (which has
units of pressure) to strain (which is
dimensionless), and so Young's modulus has
units of pressure. Its SI unit is therefore the
pascal (Pa or N/m2 or kg·m−1·s−2). The practical
units used are megapascals (MPa or N/mm2) or
gigapascals (GPa or kN/mm2).
CALCULATION
TENSILE ELASTICITY
• Tensile elasticity is the tendency of
an object to deform along an axis
when opposing forces are applied
along that axis; it is defined as the
ratio of tensile stress to tensile strain.
It is often referred to simply as the
elastic modulus.
TENSILE MODULUS
SHEAR MODULUS

The shear modulus or modulus of rigidity


(G or μ) describes an object's tendency to
shear (the deformation of shape at constant
volume) when acted upon by opposing
forces; it is defined as shear stress over
shear strain. The shear modulus is part of
the derivation of viscosity.
SHEAR MODULUS
BULK MODULUS
• The bulk modulus (K) describes volumetric
elasticity, or the tendency of an object to
deform in all directions when uniformly
loaded in all directions; it is defined as
volumetric stress over volumetric strain,
and is the inverse of compresibility. The
bulk modulus is an extension of Young's
modulus to three dimensions.
BULK MODULUS
SUMMARY
Elastic Modulus is a measure of the
stiffness of a solid material.
Elastic modulus can be defined as:

Unit of Modulus of Elasticity is Pascal.


There are three types of modulus of
Elasticity : Tensile Elasticity , Shear Modulus
and Bulk Modulus
BIBLIOGRAPHY

•Wikipedia
•Google Images
•Physics helpbook
•Internet Explorer

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