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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?
Verified Answer
The principal strains at a point in a body, under biaxial state of str...
Maximum shear stress = e1 +e2  = 1000+ 600 =1600 

This question is part of UPSC exam. View all Mechanical Engineering courses
Most Upvoted Answer
The principal strains at a point in a body, under biaxial state of str...
The principal strains represent the maximum and minimum strains experienced by a point in a body under biaxial stress. The maximum shear strain at that point can be calculated using the formula:

Shear strain = (ε1 - ε2)/2

where ε1 and ε2 are the principal strains.

Given that the principal strains are 1000 * 10^6 and 600 * 10^6, we can substitute these values into the formula to find the maximum shear strain.

Shear strain = (1000 * 10^6 - 600 * 10^6)/2
= 400 * 10^6/2
= 200 * 10^6

Therefore, the maximum shear strain at that point is 200 * 10^6, which corresponds to option A.

However, the correct answer provided is option D, which is 1600 * 10^6. This suggests that there may be an error in the given principal strains or in the correct answer options.

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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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