Mechanical Engineering Exam > Mechanical Engineering Questions > In a bending operation, if the modulus of ela...
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In a bending operation, if the modulus of elasticity E is increased keeping all other parameters unehanged, the spring back will
[PI 1994]
- a)increase
- b)decrease
- c)remains unehanged
- d)be independent of E
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In a bending operation, if the modulus of elasticity E is increased ke...
Explanation:
When a material is bent, it undergoes deformation, which is the change in shape or size of the material. During the bending process, the material experiences both elastic and plastic deformation. Elastic deformation is the temporary deformation that occurs when a force is applied to a material, and the material returns to its original shape when the force is removed. Plastic deformation, on the other hand, is permanent deformation that occurs when a material is subjected to a force beyond its yield strength.
Spring back is the tendency of a material to return to its original shape after being bent. It is caused by the elastic deformation of the material during bending. When the bending force is removed, the material tries to regain its original shape, resulting in spring back.
Modulus of elasticity is a measure of a material's stiffness or resistance to deformation. It is defined as the ratio of stress to strain in a material under deformation. If the modulus of elasticity of a material is increased, it means that the material has become stiffer and more resistant to deformation.
When the modulus of elasticity is increased, the material will require more force to undergo the same amount of deformation. This means that the elastic deformation during bending will be reduced, resulting in lesser spring back. Therefore, the correct answer is option B, i.e., spring back will decrease.
Conclusion:
Increasing the modulus of elasticity of a material will result in reduced spring back during bending. This is because the material becomes stiffer and more resistant to deformation, resulting in lesser elastic deformation and hence lesser spring back.
When a material is bent, it undergoes deformation, which is the change in shape or size of the material. During the bending process, the material experiences both elastic and plastic deformation. Elastic deformation is the temporary deformation that occurs when a force is applied to a material, and the material returns to its original shape when the force is removed. Plastic deformation, on the other hand, is permanent deformation that occurs when a material is subjected to a force beyond its yield strength.
Spring back is the tendency of a material to return to its original shape after being bent. It is caused by the elastic deformation of the material during bending. When the bending force is removed, the material tries to regain its original shape, resulting in spring back.
Modulus of elasticity is a measure of a material's stiffness or resistance to deformation. It is defined as the ratio of stress to strain in a material under deformation. If the modulus of elasticity of a material is increased, it means that the material has become stiffer and more resistant to deformation.
When the modulus of elasticity is increased, the material will require more force to undergo the same amount of deformation. This means that the elastic deformation during bending will be reduced, resulting in lesser spring back. Therefore, the correct answer is option B, i.e., spring back will decrease.
Conclusion:
Increasing the modulus of elasticity of a material will result in reduced spring back during bending. This is because the material becomes stiffer and more resistant to deformation, resulting in lesser elastic deformation and hence lesser spring back.
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In a bending operation, if the modulus of elasticity E is increased keeping all other parameters unehanged, the spring back will[PI 1994]a)increaseb)decreasec)remains unehangedd)be independent of ECorrect answer is option 'B'. Can you explain this answer?
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