Young's Modulus of Elasticity Problems -

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Discussion Overview

The discussion revolves around calculating Young's Modulus of Elasticity for various materials using provided stress-strain data and graphs. Participants explore the implications of non-linear stress-strain relationships and the challenges of deriving a consistent modulus from the data.

Discussion Character

  • Homework-related
  • Debate/contested
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant expresses confusion about the varying values of Young's Modulus calculated from stress and strain data, questioning the application of the formula.
  • Another participant suggests that Young's Modulus is typically represented by the slope in the elastic region of the stress-strain curve, indicating that the curve may not always be linear.
  • Concerns are raised about the low calculated Young's Modulus value for one material, prompting questions about the material type and strain units.
  • Participants discuss the nature of the stress-strain curves, with one noting that not all materials exhibit a perfectly elastic region.
  • There is a request for visual representations of the stress-strain graphs to better understand the data and behavior of the materials.
  • One participant mentions the need to include the origin (0,0) point on the graphs, while another questions whether the graph can start from this point or if it should begin elsewhere.
  • There is a suggestion to use log-log plots to analyze the small strain region more effectively, although some participants express uncertainty about this approach.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to interpret the stress-strain data or the appropriate method for calculating Young's Modulus. Multiple competing views on the nature of the stress-strain relationship and the graphical representation remain unresolved.

Contextual Notes

Participants highlight the potential for non-linear behavior in stress-strain curves and the implications for calculating a consistent Young's Modulus across different materials. There are also discussions about the necessity of including specific data points in graphical representations.

  • #31
Still having problems finding which materials they are. Material Y young's modulus is 270 GPa and looking at the stress strain graph it has a UTS of 700 MPa. I can't find a material which matches this, please help. Chromium has a Young's Modulus of 279 GPa but i can't find the UTS anywhere.
 
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  • #32
joe465 said:
Still having problems finding which materials they are. Material Y young's modulus is 270 GPa and looking at the stress strain graph it has a UTS of 700 MPa. I can't find a material which matches this, please help. Chromium has a Young's Modulus of 279 GPa but i can't find the UTS anywhere.

Steel looks like a possibility.
 
  • #33
Yeah i went for steel because the stress strain shows two yield points which is a common steel reflection. Now just material Z. My tutor said it should be between 500-600 Pascals but i can't get this value at all no matter which units i use?

Stress Strain
70 0.06
100 0.11
150 0.22
200 0.35
220 0.48

Thats material Z's Stress-Strain Data.
 
  • #34
I fit a quadratic to these points, and got ~700 Pa at ~0 Pa stress. That should be good enough. If the units are really Pascals, I don't know of any materials with that low a Young's modulus.
 

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