(a) Calculate average tensile stresses and strains for each record. (b) Draw the tensile stress-strain diagram for the bone specimen. (c) Calculate the elastic modulus, E, of the bone specimen.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter11: Fracture And Fatigue
Section: Chapter Questions
Problem 11.10P
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Consult the attached image, How do I solve parts a, b, c, d, and e

Problem 13.6 Figure 13.41 illustrates a bone specimen with a
circular cross-section. Two sections, A and B, that are lo = 6mm
distance apart are marked on the specimen. The radius of the
specimen in the region between A and B is ro = 1 mm.
This specimen was subjected to a series of uniaxial tension tests
until fracture by gradually increasing the magnitude of the
applied force and measuring corresponding deformations. As
a result of these tests, the following data were recorded:
A
RECORD #
FORCE, F(N)
DEFORMATION, AI (mm)
lo
1
94
0.009
B
2
190
0.018
3
284
0.027
4
376
0.050
5
440
0.094
Fig. 13.41 Problem 13.6
If record 3 corresponds to the end of the linearly elastic region
and record 5 corresponds to fracture point, carry out the
following:
(a) Calculate average tensile stresses and strains for each
record.
(b) Draw the tensile stress-strain diagram for the bone
specimen.
(c) Calculate the elastic modulus, E, of the bone specimen.
Stress and Strain
313
(d) What is the ultimate strength of the bone specimen?
(e) What is the yield strength of the bone specimen? (use the
offset method)
Transcribed Image Text:Problem 13.6 Figure 13.41 illustrates a bone specimen with a circular cross-section. Two sections, A and B, that are lo = 6mm distance apart are marked on the specimen. The radius of the specimen in the region between A and B is ro = 1 mm. This specimen was subjected to a series of uniaxial tension tests until fracture by gradually increasing the magnitude of the applied force and measuring corresponding deformations. As a result of these tests, the following data were recorded: A RECORD # FORCE, F(N) DEFORMATION, AI (mm) lo 1 94 0.009 B 2 190 0.018 3 284 0.027 4 376 0.050 5 440 0.094 Fig. 13.41 Problem 13.6 If record 3 corresponds to the end of the linearly elastic region and record 5 corresponds to fracture point, carry out the following: (a) Calculate average tensile stresses and strains for each record. (b) Draw the tensile stress-strain diagram for the bone specimen. (c) Calculate the elastic modulus, E, of the bone specimen. Stress and Strain 313 (d) What is the ultimate strength of the bone specimen? (e) What is the yield strength of the bone specimen? (use the offset method)
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