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A rod of length 20mm 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_______
  • a)
    -0.5
  • b)
    -0.69
  • c)
    -0.75
  • d)
    -1
Correct answer is option 'B'. Can you explain this answer?
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A rod of length 20mm is stretched to make a rod of length 40 mm. Subse...
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A rod of length 20mm is stretched to make a rod of length 40 mm. Subse...
< b="" />Given data:
- Initial length of the rod (L1) = 20 mm
- Final length of the rod after stretching (L2) = 40 mm
- Final length of the rod after compression (L3) = 10 mm

Calculation:
1. Calculating the tensile strain when the rod is stretched:
Tensile strain (ε1) = (Change in length)/(Original length)
ε1 = (L2 - L1) / L1
ε1 = (40 - 20) / 20
ε1 = 20 / 20
ε1 = 1
2. Calculating the compressive strain when the rod is compressed:
Compressive strain (ε2) = (Change in length)/(Original length)
ε2 = (L3 - L2) / L2
ε2 = (10 - 40) / 40
ε2 = -30 / 40
ε2 = -0.75
3. Total true longitudinal strain in the rod:
Total strain = ε1 + ε2
Total strain = 1 + (-0.75)
Total strain = 0.25
Therefore, the total true longitudinal strain in the rod is -0.75.
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A rod of length 20mm 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_______a)-0.5b)-0.69c)-0.75d)-1Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A rod of length 20mm 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_______a)-0.5b)-0.69c)-0.75d)-1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rod of length 20mm 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_______a)-0.5b)-0.69c)-0.75d)-1Correct answer is option 'B'. Can you explain this answer?.
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