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A rod of length 20 mm is stretched to make a rod of length 40 mm. Subsequently, it is compressed to make a rod of final length 10 mm. Consider the longitudinal tensile strain as positive and compressive strain as negative.The total true longitudinal strain in the rod is


[2017]

  • a)
    –0.5

  • b)
    –0.69

  • c)
    –0.75

  • d)
    –1.0

Correct answer is option 'B'. Can you explain this answer?
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The total true longitudinal strain in the rod can be calculated by adding the strain due to stretching and the strain due to compression.

The strain due to stretching can be calculated using the formula:
strain = (change in length) / (original length)
strain = (40 mm - 20 mm) / (20 mm)
strain = 20 mm / 20 mm
strain = 1

The strain due to compression can be calculated using the same formula:
strain = (change in length) / (original length)
strain = (10 mm - 40 mm) / (40 mm)
strain = -30 mm / 40 mm
strain = -0.75

Therefore, the total true longitudinal strain in the rod is:
1 + (-0.75) = 0.25
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A rod of length 20 mm is stretched to make a rod of length 40 mm. Subsequently, it is compressed to make a rod of final length 10 mm. Consider the longitudinal tensile strain as positive and compressive strain as negative.The total true longitudinal strain in the rod is[2017]a)–0.5b)–0.69c)–0.75d)–1.0Correct answer is option 'B'. Can you explain this answer?
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