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The Von-Mises stress at a point in a body subjected to forces is proportional to the square root of the Machine Design (Theory of Failure)
- a)plastic strain energy per unit voume
- b)distortional strain energy per unit voume
- c)total strain energy per unit voume
- d)dilatational strain energy per unit voume
Correct answer is option 'B'. Can you explain this answer?
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The Von-Mises stress at a point in a body subjected to forces is propo...
Von-Mises stress is proportional to square root of distortion strain energy.
Hence, the correct option is (B).
Hence, the correct option is (B).
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The Von-Mises stress at a point in a body subjected to forces is propo...
Explanation:
Von-Mises Stress:
- Von-Mises stress is a measure of the stress at a point in a body subjected to forces.
- It is used to predict yielding of materials under complex loading conditions.
Distortional Strain Energy:
- Distortional strain energy is a measure of the energy stored in a material due to distortion or shear deformation.
- It is proportional to the square root of the Von-Mises stress.
- This relationship is derived from the theory of failure in machine design.
Relationship:
- The Von-Mises stress is directly proportional to the square root of the distortional strain energy per unit volume.
- This relationship helps engineers in predicting failure in materials under various loading conditions.
- By analyzing the distortional strain energy, one can estimate the Von-Mises stress and determine the safety factor of a design.
Importance:
- Understanding the relationship between Von-Mises stress and distortional strain energy is crucial in designing safe and reliable mechanical components.
- It allows engineers to optimize designs to withstand different loading scenarios and prevent material failure.
In conclusion, the Von-Mises stress at a point in a body subjected to forces is proportional to the square root of the distortional strain energy per unit volume. This relationship is fundamental in the field of machine design and plays a significant role in ensuring the structural integrity of mechanical components.
Von-Mises Stress:
- Von-Mises stress is a measure of the stress at a point in a body subjected to forces.
- It is used to predict yielding of materials under complex loading conditions.
Distortional Strain Energy:
- Distortional strain energy is a measure of the energy stored in a material due to distortion or shear deformation.
- It is proportional to the square root of the Von-Mises stress.
- This relationship is derived from the theory of failure in machine design.
Relationship:
- The Von-Mises stress is directly proportional to the square root of the distortional strain energy per unit volume.
- This relationship helps engineers in predicting failure in materials under various loading conditions.
- By analyzing the distortional strain energy, one can estimate the Von-Mises stress and determine the safety factor of a design.
Importance:
- Understanding the relationship between Von-Mises stress and distortional strain energy is crucial in designing safe and reliable mechanical components.
- It allows engineers to optimize designs to withstand different loading scenarios and prevent material failure.
In conclusion, the Von-Mises stress at a point in a body subjected to forces is proportional to the square root of the distortional strain energy per unit volume. This relationship is fundamental in the field of machine design and plays a significant role in ensuring the structural integrity of mechanical components.
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The Von-Mises stress at a point in a body subjected to forces is proportional to the square root of the Machine Design (Theory of Failure)a)plastic strain energy per unit voumeb)distortional strain energy per unit voumec)total strain energy per unit voumed)dilatational strain energy per unit voumeCorrect answer is option 'B'. Can you explain this answer?
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