A cylindrical specimen of stainless steel having a diameter of 12.8 mm and a gauge length of 50.8 mm is pulled in tens

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A cylindrical specimen of stainless steel having a diameter of 12.8 mm and a gauge length

of 50.8 mm is pulled in tension. Use the load – elongation characteristics shown in the

following table to complete parts (i) through (v).

Load (N)

Length (mm)

0

12,700

25,400

38,100

50,800

76,200

89,100

92,700

102,500

107,800

119,400

128,300

149,700

50.800

50.825

50.851

50.876

50.902

51.003

51.054

51.181

51.308

51.562

51.816

52.832

53.848

Load (N)

Diameter (mm)

159,500

151,500

124,700

54.864

55.880

56.642

(i)

Plot the data as true stress versus true strain.

(ii) Compute the modulus of elasticity.

(iii) Determine the yield strength at a strain offset of 0.002.

(iv) What is the approximate ductility, in percent elongation?

(v) Compute the modulus of resilience.

(d) For some metals and alloys the region of the true stress–strain curve from the onset of

plastic deformation to the point at which necking begins may be approximated by

𝜎

̃ = 𝐾𝜖̃𝑛

Using the appropriate data tabulated in Question 3(c) above, make a plot of log 𝜎

̃ versus

log ɛ

̃ and determine the values of n and K.