Modulus of elasticity, problem. Graph and table.

In summary, The conversation discusses the calculation of Young's modulus of elasticity for a 0.1% carbon steel material using data from a tensile test. The calculated value of 27.96 x 109 is significantly different from the typical value of 207 x 109, indicating a possible error in the calculations. The conversation also mentions the importance of including units in calculations and clarifies the original length of the wire to be 50mm.
  • #1
MMCS
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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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  • #2
For a start, send again but include the units at every step (as is good practice).
 
  • #3
Are you certain that the original length of the wire was 50mm and not 50cm?
 

FAQ: Modulus of elasticity, problem. Graph and table.

What is modulus of elasticity?

Modulus of elasticity, also known as Young's modulus, is a measure of the stiffness or rigidity of a material. It describes how much a material will deform under a given amount of stress.

How is modulus of elasticity calculated?

Modulus of elasticity is calculated by dividing the stress applied to a material by the strain it experiences. The resulting value is expressed in units of force per unit area, such as N/m2 or Pa.

Why is modulus of elasticity important?

Modulus of elasticity is important because it helps engineers and scientists understand how a material will respond to external forces. It is a key factor in designing structures that can withstand stress and strain without breaking or deforming.

How is modulus of elasticity measured?

Modulus of elasticity can be measured using different methods, depending on the material being tested. For example, a tensile test involves pulling a material until it reaches its breaking point, while a compression test involves pushing a material until it starts to deform. The resulting stress and strain data can then be used to calculate the modulus of elasticity.

How is modulus of elasticity represented graphically and in a table?

Modulus of elasticity is often represented graphically as stress versus strain, with a linear relationship between the two. It can also be represented in a table, with different values of stress and strain calculated at various points during a material's deformation.

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