How to Plot a Stress-Strain Graph for Steel Sheet?

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SUMMARY

The discussion focuses on plotting a stress-strain graph for a steel sheet with a maximum proposed stress of 670 MPa. The steel sheet has a thickness of 3 mm, a width of 12.5 mm, and a gauge length of 50 mm. Participants clarified that the formula for stress (σ = F/A) is applicable to sheets, using the cross-sectional area of 12.5 mm x 3 mm to calculate stress for various loads. The conversation emphasizes the importance of understanding the geometry of the specimen when applying stress calculations.

PREREQUISITES
  • Understanding of stress and strain concepts in materials science
  • Familiarity with the formula for calculating stress (σ = F/A)
  • Knowledge of tensile testing standards for metals
  • Basic skills in graphing data and interpreting load vs. displacement graphs
NEXT STEPS
  • Learn how to calculate stress and strain for different geometries in materials testing
  • Explore the ASTM standards for tensile testing of metals
  • Investigate the significance of gauge length in stress-strain analysis
  • Study the differences between stress-strain behavior in sheets versus rods
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Materials scientists, mechanical engineers, students in materials testing courses, and anyone involved in the design and analysis of metal components.

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Homework Statement


The maximum proposed stress of their new design is 670MPa. You have measured the tensile strength of pieces of their steel, using an appropriate "standard" to guide you. (What does this even mean?) The load vs displacement graph is given. The steel sheet is 3mm thick. The width of the sample is 12.5mm and the gauge length sample is 50mm. Plot the stress strain graph.

Homework Equations


mm load, N
7.52E-03 1.32E+03
1.69E-02 3.30E+03
2.61E-02 4.85E+03
3.68E-02 6.53E+03
5.02E-02 8.48E+03
6.34E-02 1.05E+04
7.74E-02 1.25E+04
9.42E-02 1.44E+04
1.04E-01 1.63E+04
1.13E-01 1.81E+04
1.27E-01 1.98E+04
1.44E-01 2.14E+04
1.80E-01 2.27E+04
4.48E-01 2.34E+04
8.10E-01 2.40E+04
1.13E+00 2.47E+04
1.47E+00 2.52E+04
1.80E+00 2.57E+04
2.16E+00 2.62E+04
2.50E+00 2.65E+04
2.81E+00 2.69E+04
3.09E+00 2.75E+04
3.42E+00 2.80E+04
3.76E+00 2.83E+04
4.18E+00 2.80E+04
4.63E+00 2.74E+04
5.12E+00 2.72E+04
5.47E+00 2.67E+04
5.71E+00 2.59E+04
5.71E+00 2.49E+04
5.71E+00 2.37E+04
5.70E+00 2.21E+04
5.30E+00 2.03E+04

The Attempt at a Solution



How do I find the stress for each load? I know that it is F/A, but I thought this only applied to rods and not a metal sheet? Or am i allowed to use 12.5x5 as the cross sectional area?
 
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ipocoyo said:

Homework Statement


The maximum proposed stress of their new design is 670MPa. You have measured the tensile strength of pieces of their steel, using an appropriate "standard" to guide you. (What does this even mean?) The load vs displacement graph is given. The steel sheet is 3mm thick. The width of the sample is 12.5mm and the gauge length sample is 50mm. Plot the stress strain graph.

Homework Equations


mm load, N
7.52E-03 1.32E+03
1.69E-02 3.30E+03
2.61E-02 4.85E+03
3.68E-02 6.53E+03
5.02E-02 8.48E+03
6.34E-02 1.05E+04
7.74E-02 1.25E+04
9.42E-02 1.44E+04
1.04E-01 1.63E+04
1.13E-01 1.81E+04
1.27E-01 1.98E+04
1.44E-01 2.14E+04
1.80E-01 2.27E+04
4.48E-01 2.34E+04
8.10E-01 2.40E+04
1.13E+00 2.47E+04
1.47E+00 2.52E+04
1.80E+00 2.57E+04
2.16E+00 2.62E+04
2.50E+00 2.65E+04
2.81E+00 2.69E+04
3.09E+00 2.75E+04
3.42E+00 2.80E+04
3.76E+00 2.83E+04
4.18E+00 2.80E+04
4.63E+00 2.74E+04
5.12E+00 2.72E+04
5.47E+00 2.67E+04
5.71E+00 2.59E+04
5.71E+00 2.49E+04
5.71E+00 2.37E+04
5.70E+00 2.21E+04
5.30E+00 2.03E+04

The Attempt at a Solution



How do I find the stress for each load? I know that it is F/A, but I thought this only applied to rods and not a metal sheet? Or am i allowed to use 12.5x5 as the cross sectional area?
Yes, you are, although it should be 12.5x3. What made you think that it only applies to a rod?

It certainly applies to a sheet if the thickness and width are small compared to the gauge length.

Chet
 
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Chestermiller said:
Yes, you are, although it should be 12.5x3. What made you think that it only applies to a rod?

It certainly applies to a sheet if the thickness and width are small compared to the gauge length.

Chet
Thank you for clearing up the confusion!
 

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