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A cylindrical metal specimen 15.0 mm (0.59 in.) in
Chapter 6, Problem 6.21(choose chapter or problem)
A cylindrical metal specimen 15.0 mm (0.59 in.) in diameter and 150 mm (5.9 in.) long is to be subjected to a tensile stress of 50 MPa (7250 psi); at this stress level, the resulting deformation will be totally elastic. (a) If the elongation must be less than 0.072 mm (2.83 * 10-3 in.), which of the metals in Table 6.1 are suitable candidates? Why? (b) If, in addition, the maximum permissible diameter decrease is 2.3 * 10-3 mm (9.1 * 10-5 in.) when the tensile stress of 50 MPa is applied, which of the metals that satisfy the criterion in part (a) are suitable candidates? Why?
Questions & Answers
QUESTION:
A cylindrical metal specimen 15.0 mm (0.59 in.) in diameter and 150 mm (5.9 in.) long is to be subjected to a tensile stress of 50 MPa (7250 psi); at this stress level, the resulting deformation will be totally elastic. (a) If the elongation must be less than 0.072 mm (2.83 * 10-3 in.), which of the metals in Table 6.1 are suitable candidates? Why? (b) If, in addition, the maximum permissible diameter decrease is 2.3 * 10-3 mm (9.1 * 10-5 in.) when the tensile stress of 50 MPa is applied, which of the metals that satisfy the criterion in part (a) are suitable candidates? Why?
ANSWER:Step 1 of 4
a. Elongation of Different material for specified stress:
Relation between stress and strain,
Where, sigma is stress, epsilon is strain and 
For different material strain and elongation: