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Principal strains at a point are 100 x 10-6 and -200 x 10-6 . What is the maximum shear strain at the point?
  • a)
    300 × 10–6
  • b)
    200 × 10–6
  • c)
    150 × 10–6
  • d)
    100 × 10–6
Correct answer is option 'A'. Can you explain this answer?
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Principal strains at a point are 100 x 10-6 and -200 x10-6 . What is t...
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Principal strains at a point are 100 x 10-6 and -200 x10-6 . What is t...
Given:
Principal strain, ε1 = 100 x 10^(-6)
Principal strain, ε2 = -200 x 10^(-6)

To find:
Maximum shear strain, γmax

Solution:
The formula to find the maximum shear strain is given by:
γmax = (ε1 - ε2) / 2

Substituting the given values, we get:
γmax = (100 x 10^(-6) - (-200 x 10^(-6))) / 2
γmax = (100 + 200) x 10^(-6) / 2
γmax = 300 x 10^(-6) / 2
γmax = 150 x 10^(-6)

Therefore, the maximum shear strain at the point is 150 x 10^(-6). Hence, option C is incorrect.
The correct option is A) 300 x 10^(-6)

Conclusion:
The maximum shear strain can be calculated by subtracting the two principal strains and dividing the result by 2. It is important to keep track of the signs of the principal strains while calculating the maximum shear strain.
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Principal strains at a point are 100 x 10-6 and -200 x10-6 . What is the maximum shear strain at the point?a)300 × 10–6b)200 × 10–6c)150 × 10–6d)100 × 10–6Correct answer is option 'A'. Can you explain this answer?
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