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The principal strains at a point in a body, under biaxial state of stress, are 1000 ×10–6 and –600 × 10–6. What is the maximum shear strain at that point?
- a)200 × 10–6
- b)800 × 10–6
- c)1000 × 10–6
- d)1600 × 10–6
Correct answer is option 'D'. Can you explain this answer?
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Understanding Principal Strains
In a biaxial state of stress, the principal strains are given as follows:
- Principal Strain 1 (ε1) = 1000 x 10^6
- Principal Strain 2 (ε2) = 600 x 10^6
Calculating Maximum Shear Strain
To find the maximum shear strain (γ_max), we use the relationship between principal strains and shear strain:
- Maximum Shear Strain Formula: γ_max = (ε1 - ε2) / 2
Substituting the values:
- γ_max = (1000 x 10^6 - 600 x 10^6) / 2
- γ_max = (400 x 10^6) / 2
- γ_max = 200 x 10^6
Confirming the Options
The calculated maximum shear strain (200 x 10^6) does not match the correct answer provided (1600 x 10^6).
Reviewing the Problem Statement
It's crucial to re-evaluate the question, as the answer marked as correct (1600 x 10^6) might refer to a different calculation or context. The maximum shear strain is typically defined as half the difference in principal strains, and the correct calculation should yield 200 x 10^6 based on the provided principal strains.
Conclusion
Double-check the problem context or values given. If the correct answer is truly 1600 x 10^6, then it may involve other factors or misinterpretation of the inputs. The maximum shear strain calculated from the provided principal strains correctly yields 200 x 10^6.
In a biaxial state of stress, the principal strains are given as follows:
- Principal Strain 1 (ε1) = 1000 x 10^6
- Principal Strain 2 (ε2) = 600 x 10^6
Calculating Maximum Shear Strain
To find the maximum shear strain (γ_max), we use the relationship between principal strains and shear strain:
- Maximum Shear Strain Formula: γ_max = (ε1 - ε2) / 2
Substituting the values:
- γ_max = (1000 x 10^6 - 600 x 10^6) / 2
- γ_max = (400 x 10^6) / 2
- γ_max = 200 x 10^6
Confirming the Options
The calculated maximum shear strain (200 x 10^6) does not match the correct answer provided (1600 x 10^6).
Reviewing the Problem Statement
It's crucial to re-evaluate the question, as the answer marked as correct (1600 x 10^6) might refer to a different calculation or context. The maximum shear strain is typically defined as half the difference in principal strains, and the correct calculation should yield 200 x 10^6 based on the provided principal strains.
Conclusion
Double-check the problem context or values given. If the correct answer is truly 1600 x 10^6, then it may involve other factors or misinterpretation of the inputs. The maximum shear strain calculated from the provided principal strains correctly yields 200 x 10^6.
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The principal strains at a point in a body, under biaxial state of stress, are 1000 ×10–6 and –600 × 10–6. What is the maximum shear strain at that point?a)200 × 10–6b)800 × 10–6c)1000 × 10–6d)1600 × 10–6Correct answer is option 'D'. Can you explain this answer?
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The principal strains at a point in a body, under biaxial state of stress, are 1000 ×10–6 and –600 × 10–6. What is the maximum shear strain at that point?a)200 × 10–6b)800 × 10–6c)1000 × 10–6d)1600 × 10–6Correct answer is option 'D'. 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 The principal strains at a point in a body, under biaxial state of stress, are 1000 ×10–6 and –600 × 10–6. What is the maximum shear strain at that point?a)200 × 10–6b)800 × 10–6c)1000 × 10–6d)1600 × 10–6Correct answer is option 'D'. 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 The principal strains at a point in a body, under biaxial state of stress, are 1000 ×10–6 and –600 × 10–6. What is the maximum shear strain at that point?a)200 × 10–6b)800 × 10–6c)1000 × 10–6d)1600 × 10–6Correct answer is option 'D'. Can you explain this answer?.
The principal strains at a point in a body, under biaxial state of stress, are 1000 ×10–6 and –600 × 10–6. What is the maximum shear strain at that point?a)200 × 10–6b)800 × 10–6c)1000 × 10–6d)1600 × 10–6Correct answer is option 'D'. 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 The principal strains at a point in a body, under biaxial state of stress, are 1000 ×10–6 and –600 × 10–6. What is the maximum shear strain at that point?a)200 × 10–6b)800 × 10–6c)1000 × 10–6d)1600 × 10–6Correct answer is option 'D'. 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 The principal strains at a point in a body, under biaxial state of stress, are 1000 ×10–6 and –600 × 10–6. What is the maximum shear strain at that point?a)200 × 10–6b)800 × 10–6c)1000 × 10–6d)1600 × 10–6Correct answer is option 'D'. Can you explain this answer?.
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