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Young's modulus is defined as the ratio of
- a)volumetric stress and volumetric strain
- b)lateral stress and lateral strain
- c)longitudinal stress and lateral strain
- d)longitudinal stress and longitudinal strain
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Young's modulus is defined as the ratio ofa)volumetric stress and ...
The linear relationship between stress and strain for a bar in simple tension or compression can be expressed by the equation
in which Eis a constant of proportionality known as modulus of elasticity for the material. The modulus of elasticity is the slope of the stress- strain diagram in the linearly elastic region and its value depends upon the particular material being used.
in which Eis a constant of proportionality known as modulus of elasticity for the material. The modulus of elasticity is the slope of the stress- strain diagram in the linearly elastic region and its value depends upon the particular material being used.
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Young's modulus is defined as the ratio ofa)volumetric stress and ...
Young's Modulus in Mechanical Engineering
Young's modulus, also known as the modulus of elasticity, is a material property that describes the stiffness of a solid material. It is defined as the ratio of longitudinal stress to longitudinal strain.
Formula for Young's Modulus
The formula for Young's modulus is:
E = σ/ε
Where E is Young's modulus, σ is longitudinal stress, and ε is longitudinal strain.
Explanation
When a material is subjected to a tensile or compressive force, it undergoes deformation. The amount of deformation depends on the magnitude of the force and the properties of the material. The longitudinal stress is the force per unit area applied to the material, and the longitudinal strain is the ratio of the change in length of the material to its original length.
Young's modulus relates the stress and strain of a material under tensile or compressive loading. A material with a high Young's modulus is stiffer and more resistant to deformation than a material with a low Young's modulus.
Units of Young's Modulus
Young's modulus is measured in units of pressure, such as pascals (Pa) or pounds per square inch (psi).
Applications of Young's Modulus
Young's modulus is an important material property used in many engineering applications, such as:
1. Design of structures: Young's modulus is used to calculate the deflection and deformation of structures under load.
2. Material selection: Young's modulus is used to compare the stiffness of different materials and select the appropriate material for a given application.
3. Composite materials: Young's modulus is used to calculate the effective stiffness of composite materials made from different materials.
Conclusion
Young's modulus is an important material property that describes the stiffness of a solid material. It is defined as the ratio of longitudinal stress to longitudinal strain and has applications in many areas of engineering.
Young's modulus, also known as the modulus of elasticity, is a material property that describes the stiffness of a solid material. It is defined as the ratio of longitudinal stress to longitudinal strain.
Formula for Young's Modulus
The formula for Young's modulus is:
E = σ/ε
Where E is Young's modulus, σ is longitudinal stress, and ε is longitudinal strain.
Explanation
When a material is subjected to a tensile or compressive force, it undergoes deformation. The amount of deformation depends on the magnitude of the force and the properties of the material. The longitudinal stress is the force per unit area applied to the material, and the longitudinal strain is the ratio of the change in length of the material to its original length.
Young's modulus relates the stress and strain of a material under tensile or compressive loading. A material with a high Young's modulus is stiffer and more resistant to deformation than a material with a low Young's modulus.
Units of Young's Modulus
Young's modulus is measured in units of pressure, such as pascals (Pa) or pounds per square inch (psi).
Applications of Young's Modulus
Young's modulus is an important material property used in many engineering applications, such as:
1. Design of structures: Young's modulus is used to calculate the deflection and deformation of structures under load.
2. Material selection: Young's modulus is used to compare the stiffness of different materials and select the appropriate material for a given application.
3. Composite materials: Young's modulus is used to calculate the effective stiffness of composite materials made from different materials.
Conclusion
Young's modulus is an important material property that describes the stiffness of a solid material. It is defined as the ratio of longitudinal stress to longitudinal strain and has applications in many areas of engineering.
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Young's modulus is defined as the ratio ofa)volumetric stress and ...
Young's modulus is measure of stiffness of elastic material.the ratio of longitudinal stress to longitudinal strain.
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Young's modulus is defined as the ratio ofa)volumetric stress and volumetric strainb)lateral stress and lateral strainc)longitudinal stress and lateral straind)longitudinal stress and longitudinal strainCorrect answer is option 'D'. Can you explain this answer?
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