Tensile test specimens are extracted from the "" and "y" directions of a rolled sheet of metal. "X" is the rolling direction, "y'is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain gd= 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew = -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw-0.1000 at that instant." The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically defomed in equal biaxial tension (a, = g,) to the point where ,= 0.15, calculate the strain, , that would be expected.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...
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Tensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is
transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain =
0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in
the y-direction, the width strain was measured to be gw=-0.1000 at that instant.
The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi.
Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test
specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the
sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be
expected.
Transcribed Image Text:Tensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain = 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw=-0.1000 at that instant. The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be expected.
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