An elastoplastic material with strain hardening has the stress-strain relation- ship shown in Figure P1.19. The yield point corresponds to 600 MPa stress and 0.003 m/m strain. a. If a bar made of this material is subjected to a stress of 650 MPa and then released, what is the permanent strain? 1000 800 600 400 200 0.02 0.04 0.06 0.08 Strain, m/m FIGURE P1.19 b. What is the percent increase in yield strength that is gained by the strain hardening shown in part (a)? c. After strain hardening, if the material is subjected to a stress of 625 MPa, how much strain is obtained? Is this strain elastic, permanent, or a combi- nation of both? Stress, MPa

Structural Analysis
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Chapter2: Loads On Structures
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An elastoplastic material with strain hardening has the stress-strain relation-
ship shown in Figure P1.19. The yield point corresponds to 600 MPa stress
and 0.003 m/m strain.
a. If a bar made of this material is subjected to a stress of 650 MPa and then
released, what is the permanent strain?
1000
800
600
400
200
0.02
0.04
0.06
0.08
Strain, m/m
FIGURE P1.19
b. What is the percent increase in yield strength that is gained by the strain
hardening shown in part (a)?
c. After strain hardening, if the material is subjected to a stress of 625 MPa,
how much strain is obtained? Is this strain elastic, permanent, or a combi-
nation of both?
Stress, MPa
Transcribed Image Text:An elastoplastic material with strain hardening has the stress-strain relation- ship shown in Figure P1.19. The yield point corresponds to 600 MPa stress and 0.003 m/m strain. a. If a bar made of this material is subjected to a stress of 650 MPa and then released, what is the permanent strain? 1000 800 600 400 200 0.02 0.04 0.06 0.08 Strain, m/m FIGURE P1.19 b. What is the percent increase in yield strength that is gained by the strain hardening shown in part (a)? c. After strain hardening, if the material is subjected to a stress of 625 MPa, how much strain is obtained? Is this strain elastic, permanent, or a combi- nation of both? Stress, MPa
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