. In a uniaxial tension test, a dog-bone-shaped specimen is pulled in a machine. During the test, the force applied to the specimen, F, and the length of a gage section, L, are measured. The true stress, o, , and the true strain, &,, are defined by: 0₁ F (KN) L (mm) = FL A Lo -; &₁ = In L where A and Lo are the initial cross-sectional area and gage length, respectively. The true stress-strain curve in the region beyond yielding is often modeled by: o₁ = Ken The following are values of F and L measured in an experiment. Use the linearized form of the above equation determining the value of the coefficients K and m that best fit the data. The initial cross-sectional area and gage length are A = 1.25-10 m² and Lo=0.0125m. 24.6 29.3 31.5 33.3 34.8 35.7 36.6 37.5 38.8 39.6 40.4 12.58 12.82 12.91 12.95 13.05 13.21 13.35 13.49 14.08 14.21 14.48
. In a uniaxial tension test, a dog-bone-shaped specimen is pulled in a machine. During the test, the force applied to the specimen, F, and the length of a gage section, L, are measured. The true stress, o, , and the true strain, &,, are defined by: 0₁ F (KN) L (mm) = FL A Lo -; &₁ = In L where A and Lo are the initial cross-sectional area and gage length, respectively. The true stress-strain curve in the region beyond yielding is often modeled by: o₁ = Ken The following are values of F and L measured in an experiment. Use the linearized form of the above equation determining the value of the coefficients K and m that best fit the data. The initial cross-sectional area and gage length are A = 1.25-10 m² and Lo=0.0125m. 24.6 29.3 31.5 33.3 34.8 35.7 36.6 37.5 38.8 39.6 40.4 12.58 12.82 12.91 12.95 13.05 13.21 13.35 13.49 14.08 14.21 14.48
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:. In a uniaxial tension test, a dog-bone-shaped specimen is pulled in a machine. During the test, the force
applied to the specimen, F, and the length of a gage section, L, are measured. The true stress, O,, and the
true strain, &,, are defined by:
0₁ =
F (KN)
L (mm)
FL
EI.
A Lo
:
&₁ = In
#
where A and Lo are the initial cross-sectional area and gage length, respectively. The true stress-strain
curve in the region beyond yielding is often modeled by:
o =KE
The following are values of F and L measured in an experiment. Use the linearized form of the above
equation determining the value of the coefficients K and m that best fit the data. The initial cross-sectional
area and gage length are 4 = 1.25.10 m² and Lo=0.0125m.
24.6 29.3
31.5 33.3 34.8 35.7 36.6 37.5 38.8 39.6 40.4
12.58 12.82 12.91 12.95 13.05 13.21 13.35 13.49 14.08 14.21 14.48
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