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A structural member under loading has a uniform state of plane stress which in usual notations is given by σx = 3P. σ= -2P and , where P > 0. The yield strength of the material is 350 MPa. If the member is designed using the maximum distortion energy theory, then the value of P at which yielding starts (according to the maximum distortion energy theory) is
  • a)
    70 MPa
  • b)
    90 MPa
  • c)
    120 MPa
  • d)
    75 MPa
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A structural member under loading has a uniform state of plane stress ...
For the maximum distortion energy theory,

For actual condition, 
σ= 0 (because 2D condition)
Radius of Mohr’s circle



R = 2.8722P
Now, principal stresses, 



And


σ= -2.3722P
By putting in equation (i),



During tensile test failure,


Where, σf is tensile yield strength = 350 MPa.
So,
 
 … (iii)
Equating equation (ii) and (iii), 

P = 70 MPa
Hence, the correct option is (A).
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A structural member under loading has a uniform state of plane stress which in usual notations is given by σx= 3P. σy= -2P and , where P > 0. The yield strength of the material is 350 MPa. If the member is designed using the maximum distortion energy theory, then the value of P at which yielding starts (according to the maximum distortion energy theory) isa)70 MPab)90 MPac)120 MPad)75 MPaCorrect answer is option 'A'. Can you explain this answer?
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A structural member under loading has a uniform state of plane stress which in usual notations is given by σx= 3P. σy= -2P and , where P > 0. The yield strength of the material is 350 MPa. If the member is designed using the maximum distortion energy theory, then the value of P at which yielding starts (according to the maximum distortion energy theory) isa)70 MPab)90 MPac)120 MPad)75 MPaCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A structural member under loading has a uniform state of plane stress which in usual notations is given by σx= 3P. σy= -2P and , where P > 0. The yield strength of the material is 350 MPa. If the member is designed using the maximum distortion energy theory, then the value of P at which yielding starts (according to the maximum distortion energy theory) isa)70 MPab)90 MPac)120 MPad)75 MPaCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A structural member under loading has a uniform state of plane stress which in usual notations is given by σx= 3P. σy= -2P and , where P > 0. The yield strength of the material is 350 MPa. If the member is designed using the maximum distortion energy theory, then the value of P at which yielding starts (according to the maximum distortion energy theory) isa)70 MPab)90 MPac)120 MPad)75 MPaCorrect answer is option 'A'. Can you explain this answer?.
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