Modulus of elasticity, problem. Graph and table.

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SUMMARY

The discussion focuses on calculating Young's modulus of elasticity for 0.1% carbon steel using data from a tensile test. The participant attempted to compute the modulus using the formula E = σ/ε, where σ is stress and ε is strain. The calculated value was 27.96 x 109 Pa, significantly lower than the typical value of 207 x 109 Pa for the material. The participant acknowledged potential errors in their calculations, particularly regarding the original length of the wire.

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Attached is the graph and small part of table that i have chosen from the elastic range (first column extension, second column load) from a tensile test. I am trying to calculate youngs modulus of elasticity but can't seem to get a figure close to that of the common figure for the material

Material 0.1% carbon steel
Area = 20 x 10-6m2
Yield force = 6009N
Length increase at yield force = 0.537mm = 0.000537m
Original length = 50.mm = 0.05m


E = σ/ε

E = (6006/20x10-6) / (0.000537/0.05)
E = 27.96 x 109
Typical value = 207 x 109

Iv obviously went very wrong somewhere but i don't know where

Thanks
 

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For a start, send again but include the units at every step (as is good practice).
 
Are you certain that the original length of the wire was 50mm and not 50cm?
 

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