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Consider the following statements:
- Maximum Principal Stress Theory is the proper choice for brittle materials
- Maximum Shear Stress Theory is the most accurate theory to design for ductile materials
- Distortion Energy Theory predicts yielding in most precise manner
Which of the following statements is/are CORRECT?
- a)1 only
- b)3 only
- c)1 and 3 only
- d)All of the above
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Consider the following statements: Maximum Principal Stress Theory is ...
Maximum Principal Stress Theory is the proper choice for brittle materials:
- Maximum Principal Stress Theory states that failure occurs when the maximum principal stress exceeds the yield strength of the material.
- Brittle materials do not exhibit significant plastic deformation before failure, and their failure is primarily governed by the ultimate tensile strength or compressive strength.
- Since brittle materials do not undergo significant plastic deformation, the maximum principal stress is a critical parameter in determining failure.
- Therefore, the Maximum Principal Stress Theory is a suitable choice for brittle materials.
Maximum Shear Stress Theory is the most accurate theory to design for ductile materials:
- Maximum Shear Stress Theory suggests that failure occurs when the maximum shear stress exceeds the shear strength of the material.
- Ductile materials exhibit significant plastic deformation before failure, and their failure is primarily governed by the shear strength.
- The Maximum Shear Stress Theory considers the shear stress, which is a critical parameter in determining the onset of plastic deformation and failure in ductile materials.
- Therefore, the Maximum Shear Stress Theory is the most accurate theory to design for ductile materials.
Distortion Energy Theory predicts yielding in the most precise manner:
- Distortion Energy Theory, also known as von Mises Theory or the Shear Strain Energy Theory, states that yielding occurs when the distortion energy (also known as von Mises stress) exceeds the yield strength of the material.
- The theory takes into account the combined effect of normal and shear stresses on yielding.
- Distortion Energy Theory has been widely used and validated for a wide range of materials and loading conditions.
- It provides a more accurate prediction of yielding compared to other theories, especially for materials subjected to complex stress states or multiaxial loading.
- Therefore, the Distortion Energy Theory predicts yielding in the most precise manner.
Conclusion:
- The Maximum Principal Stress Theory is suitable for brittle materials, while the Maximum Shear Stress Theory is the most accurate for ductile materials.
- The Distortion Energy Theory provides the most precise prediction of yielding, especially for complex stress states or multiaxial loading.
- Therefore, statements 1 and 3 are correct, and the correct answer is option 'C' (1 and 3 only).
- Maximum Principal Stress Theory states that failure occurs when the maximum principal stress exceeds the yield strength of the material.
- Brittle materials do not exhibit significant plastic deformation before failure, and their failure is primarily governed by the ultimate tensile strength or compressive strength.
- Since brittle materials do not undergo significant plastic deformation, the maximum principal stress is a critical parameter in determining failure.
- Therefore, the Maximum Principal Stress Theory is a suitable choice for brittle materials.
Maximum Shear Stress Theory is the most accurate theory to design for ductile materials:
- Maximum Shear Stress Theory suggests that failure occurs when the maximum shear stress exceeds the shear strength of the material.
- Ductile materials exhibit significant plastic deformation before failure, and their failure is primarily governed by the shear strength.
- The Maximum Shear Stress Theory considers the shear stress, which is a critical parameter in determining the onset of plastic deformation and failure in ductile materials.
- Therefore, the Maximum Shear Stress Theory is the most accurate theory to design for ductile materials.
Distortion Energy Theory predicts yielding in the most precise manner:
- Distortion Energy Theory, also known as von Mises Theory or the Shear Strain Energy Theory, states that yielding occurs when the distortion energy (also known as von Mises stress) exceeds the yield strength of the material.
- The theory takes into account the combined effect of normal and shear stresses on yielding.
- Distortion Energy Theory has been widely used and validated for a wide range of materials and loading conditions.
- It provides a more accurate prediction of yielding compared to other theories, especially for materials subjected to complex stress states or multiaxial loading.
- Therefore, the Distortion Energy Theory predicts yielding in the most precise manner.
Conclusion:
- The Maximum Principal Stress Theory is suitable for brittle materials, while the Maximum Shear Stress Theory is the most accurate for ductile materials.
- The Distortion Energy Theory provides the most precise prediction of yielding, especially for complex stress states or multiaxial loading.
- Therefore, statements 1 and 3 are correct, and the correct answer is option 'C' (1 and 3 only).
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Consider the following statements: Maximum Principal Stress Theory is ...
Though Maximum Shear Stress Theory is easier to apply but it is generally applicable for uni-axial loading. Distortion Energy Theory is the most accurate choice for ductile materials and gives best result.
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Consider the following statements: Maximum Principal Stress Theory is the proper choice for brittle materials Maximum Shear Stress Theory is the most accurate theory to design for ductile materials Distortion Energy Theory predicts yielding in most precise mannerWhich of the following statements is/are CORRECT?a)1 onlyb)3 onlyc)1 and 3 onlyd)All of the aboveCorrect answer is option 'C'. Can you explain this answer?
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