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A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?
- a)maximum principal stress theory
- b)maximum shear stress theory
- c)maximum strain energy theory
- d)maximum distortion energy theory
Correct answer is option 'B'. Can you explain this answer?
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A shaft made from ductile material is subjected to combined bending an...
Answer:
Failure Theories for Combined Loading:
When a component is subjected to combined loading, it is essential to determine the maximum stress and maximum strain values to predict the failure of the component. The following are the failure theories used for predicting the failure of a component subjected to combined loading:
1. Maximum Principal Stress Theory:
According to this theory, a material fails when the maximum principal stress in the material exceeds the yield strength of the material under uniaxial loading. This theory is not suitable for ductile materials that experience plastic deformation before failure.
2. Maximum Shear Stress Theory:
According to this theory, a material fails when the maximum shear stress in the material exceeds the yield strength of the material under uniaxial loading. This theory is suitable for ductile materials that undergo plastic deformation before failure. Hence, this theory provides the most conservative values for the failure of a component subjected to combined loading.
3. Maximum Strain Energy Theory:
According to this theory, a material fails when the total strain energy per unit volume in the material exceeds the strain energy per unit volume at the yield point under uniaxial loading. This theory is not suitable for ductile materials that undergo plastic deformation before failure.
4. Maximum Distortion Energy Theory:
According to this theory, a material fails when the distortion energy per unit volume in the material exceeds the distortion energy per unit volume at the yield point under uniaxial loading. This theory is suitable for ductile materials that undergo plastic deformation before failure.
Hence, in the given scenario, where a shaft made from ductile material is subjected to combined bending and twisting moments, the calculation based on the maximum shear stress theory would provide the most conservative values for predicting the failure of the shaft.
Failure Theories for Combined Loading:
When a component is subjected to combined loading, it is essential to determine the maximum stress and maximum strain values to predict the failure of the component. The following are the failure theories used for predicting the failure of a component subjected to combined loading:
1. Maximum Principal Stress Theory:
According to this theory, a material fails when the maximum principal stress in the material exceeds the yield strength of the material under uniaxial loading. This theory is not suitable for ductile materials that experience plastic deformation before failure.
2. Maximum Shear Stress Theory:
According to this theory, a material fails when the maximum shear stress in the material exceeds the yield strength of the material under uniaxial loading. This theory is suitable for ductile materials that undergo plastic deformation before failure. Hence, this theory provides the most conservative values for the failure of a component subjected to combined loading.
3. Maximum Strain Energy Theory:
According to this theory, a material fails when the total strain energy per unit volume in the material exceeds the strain energy per unit volume at the yield point under uniaxial loading. This theory is not suitable for ductile materials that undergo plastic deformation before failure.
4. Maximum Distortion Energy Theory:
According to this theory, a material fails when the distortion energy per unit volume in the material exceeds the distortion energy per unit volume at the yield point under uniaxial loading. This theory is suitable for ductile materials that undergo plastic deformation before failure.
Hence, in the given scenario, where a shaft made from ductile material is subjected to combined bending and twisting moments, the calculation based on the maximum shear stress theory would provide the most conservative values for predicting the failure of the shaft.
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A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?a)maximum principal stress theoryb)maximum shear stress theoryc)maximum strain energy theoryd)maximum distortion energy theoryCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?a)maximum principal stress theoryb)maximum shear stress theoryc)maximum strain energy theoryd)maximum distortion energy theoryCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?a)maximum principal stress theoryb)maximum shear stress theoryc)maximum strain energy theoryd)maximum distortion energy theoryCorrect answer is option 'B'. Can you explain this answer?.
A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?a)maximum principal stress theoryb)maximum shear stress theoryc)maximum strain energy theoryd)maximum distortion energy theoryCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?a)maximum principal stress theoryb)maximum shear stress theoryc)maximum strain energy theoryd)maximum distortion energy theoryCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?a)maximum principal stress theoryb)maximum shear stress theoryc)maximum strain energy theoryd)maximum distortion energy theoryCorrect answer is option 'B'. Can you explain this answer?.
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A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?a)maximum principal stress theoryb)maximum shear stress theoryc)maximum strain energy theoryd)maximum distortion energy theoryCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?a)maximum principal stress theoryb)maximum shear stress theoryc)maximum strain energy theoryd)maximum distortion energy theoryCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A shaft made from ductile material is subjected to combined bending and twisting moments. Calculations based on which one of the following failure theories would give the most conservative values?a)maximum principal stress theoryb)maximum shear stress theoryc)maximum strain energy theoryd)maximum distortion energy theoryCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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