Determining Young's Modulus of Aluminium from Tensile Test

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Discussion Overview

The discussion centers on determining Young's modulus of aluminium through data obtained from a tensile strength test. Participants explore issues related to data interpretation, calculation methods, and the characteristics of the stress-strain curve.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • The original poster (OP) describes their aim to calculate Young's modulus using stress and strain formulas but encounters issues with a vertical stress-strain curve in their plot, making slope calculation difficult.
  • The OP reports an unexpectedly high value for Young's modulus and questions whether this could be due to errors in their calculations or factors affecting the material.
  • Several participants express difficulty in accessing the attached data file and suggest alternative formats for sharing the data.
  • One participant requests clarification on the experimental procedure and the presence of duplicated test results, questioning the consistency of the data.
  • Another participant outlines the standard method for determining Young's modulus, emphasizing the importance of analyzing the linear region of the stress-strain curve and expresses skepticism about the data's adherence to expected patterns for aluminium.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the validity of the OP's data or calculations. There are competing views regarding the interpretation of the stress-strain curve and the potential reasons for the discrepancies in the calculated Young's modulus.

Contextual Notes

Participants note limitations in the data presentation, including the format of the attached file and the clarity of the experimental setup. There is also uncertainty regarding the interpretation of duplicated values in the dataset.

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My Aim is to determine the youngs modulus of aluminium from the data we get from tensile strength test.
The attached excel sheet contains all the data i am using such as elongation,load value(which is in kN i have converted to N for calculating Stress)
For stress,
I am using the formula
Stress(ε)=Force/Area
For strain,
I am using the formula
Strain(σ)=ΔL/L
My issue's are,
  1. The linear portion of the stress-strain curve(engineering) is a vertical line when i plot it with excel.This does not let me calculate the slope.
  2. When i have attempted to calculate Youngs modulus with the formula ε/σ,I am getting a value of
    758681.8 N/mm2 which is approximately 10x the value which is given online.
My question is whether the values have potentially increased due to various factors/defects or am i making a simple error in calculating stress and strain?

P.S:This is my first post in the forums so do forgive me for making errors/not following protocol.If I did make such errors please tell me how to fix them :)
 

Attachments

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I can't open the attachment . Please upload file again in a different format or just paste relevant sections .
 
Nidum said:
I can't open the attachment . Please upload file again in a different format or just paste relevant sections .
I can't paste relevant section since the excel sheet has 2400 or so rows for the values of load and elongation.(unless its possible to do so?)
Can you suggest a different file type?
 
One of the ODF formats like .ods would probably be ok if available .

If not mentioned specifically see if there is an 'Open Office' format option .
 
Site says OpenDocument Spreadsheet format is not permitted.
The attached file type is'Strict OPEN XML spreadsheet'.
 

Attachments

The latest version does not open either but no matter as I've now found some software that was able open the original file .

Please explain exactly what you did in this experiment , why there are so many duplicated test results yet so few actual changes of load and measured extension and what the units are for the values in the tables ?
 
Nidum said:
The latest version does not open either but no matter as I've now found some software that was able open the original file .

Please explain exactly what you did in this experiment , why there are so many duplicated test results yet so few actual changes of load and measured extension and what the units are for the values in the tables ?
The test was pretty straight forward,I planted the specimen on the Universal Testing Machine for tensile strength testing.
The 'duplicated' values of load and elongation are the values the the universal tester recorded during the test from start till point of rupture.
The initial units are in kN and in mm,
I've converted kN to N for calculating stress(x1000) divided by area.
 
The basic method for determining young's modulus is to determine the slope of a line parallel the linear region (<0.2% yield) of a stress-strain curve. MIL-HDBK-5J, page 1-10 has a pretty good overview, or of course Wikipedia does as well. The data provided doesn't seem to follow the general shape I would expect for a tensile test on aluminum, are you sure you've processed it correctly?

See here for "typical" stress-strain curve for Aluminum 6061-T6 (and many other metals): Assist Docs, MIL-HDBK-5J

MIL-HDBK-5J, Page 3-279:
upload_2017-5-9_17-38-32.png
 

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