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Following stress Tensor represents tri-axial state of stress at a point. Determine strain energy per unit volume in kJ/m3 .
Consider, Poisson’s ratio = 0.3 and Young’s modulus of elasticity = 200 GPa
τ =
(A) 1.766
(B) 1.766
    Correct answer is option ''. Can you explain this answer?
    Verified Answer
    Following stress Tensor represents tri-axial state of stress at a poi...
    Σx = 10 MPa, τxy = 5
    σy = 20 MPa, τxz = 0
    σz = −10 MPa, τyz = 0
    σ1,2 =
    =
    = 15 ± √52 + 52
    = 15 ± 5√2
    σ1 = 22.07 MPa
    σ2 = 3.82 MPa
    σ3 = σz = −10 MPa [∵ τyz = τxz = 0]
    Strain energy per unit volume
    =
    = = −2(0.3)[(22.07 × 3.82) + (3.82 × −10) + (−10 × 22.07)]}
    = 1.766 × 10−3 mJ/m3
    = 1.766 kJ/m3
    Question_Type: 5
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    Most Upvoted Answer
    Following stress Tensor represents tri-axial state of stress at a poi...
    Σx = 10 MPa, τxy = 5
    σy = 20 MPa, τxz = 0
    σz = −10 MPa, τyz = 0
    σ1,2 =
    =
    = 15 ± √52 + 52
    = 15 ± 5√2
    σ1 = 22.07 MPa
    σ2 = 3.82 MPa
    σ3 = σz = −10 MPa [∵ τyz = τxz = 0]
    Strain energy per unit volume
    =
    = = −2(0.3)[(22.07 × 3.82) + (3.82 × −10) + (−10 × 22.07)]}
    = 1.766 × 10−3 mJ/m3
    = 1.766 kJ/m3
    Question_Type: 5
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    Following stress Tensor represents tri-axial state of stress at a point. Determine strain energy per unit volume in kJ/m3 .Consider, Poisson’s ratio = 0.3 and Young’s modulus of elasticity = 200 GPaτ = (A) 1.766(B) 1.766Correct answer is option ''. Can you explain this answer?
    Question Description
    Following stress Tensor represents tri-axial state of stress at a point. Determine strain energy per unit volume in kJ/m3 .Consider, Poisson’s ratio = 0.3 and Young’s modulus of elasticity = 200 GPaτ = (A) 1.766(B) 1.766Correct answer is option ''. 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 Following stress Tensor represents tri-axial state of stress at a point. Determine strain energy per unit volume in kJ/m3 .Consider, Poisson’s ratio = 0.3 and Young’s modulus of elasticity = 200 GPaτ = (A) 1.766(B) 1.766Correct answer is option ''. 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 Following stress Tensor represents tri-axial state of stress at a point. Determine strain energy per unit volume in kJ/m3 .Consider, Poisson’s ratio = 0.3 and Young’s modulus of elasticity = 200 GPaτ = (A) 1.766(B) 1.766Correct answer is option ''. Can you explain this answer?.
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