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Materials Science and Manufacturing Engineering Miscellaneous

Materials Science and Manufacturing Engineering

  1. By application of tensile force, the cross sectional area of bar P is first reduced by 30% and then by an additional 20%. Another bar Q of the same material is reduced in cross sectional area by 50% in a single step by applying tensile force. After deformation, the true strain in bar P and bar Q will, respectively be
    1. 0.5 and 0.5
    2. 0.58 and 0.69
    3. 0.69 and 0.69
    4. 0.78 and 1.00
Correct Option: B

True strain

ε = In
Ai
Af

εT = In
Ai
0.8 × 0.7Ai

εT = In
1
0.56

εT = 0.58
True strain in single step of 50%
εT = In
Ai
Af

= In
Ai
0.5Ai

εT = In(2) = 0.693



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