Calculating the Modulus of Elasticity

AI Thread Summary
To calculate the modulus of elasticity from the equation Y = 3E+07x + 2445.3, the slope of the equation, which represents the modulus of elasticity, is identified as 30 MPa. The equation indicates that stress (Y) is a function of strain (x), with the slope (a) being the key value for the modulus. Understanding the units involved is crucial, as it helps clarify the relationship between stress and strain. The discussion emphasizes the importance of dimensional analysis in solving mechanical problems. Ultimately, the modulus of elasticity is determined to be 30 MPa.
williamx11373
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After making a chart in Excel and obtaining the equation " Y= 3E+07x+2445.3 "

Now i need to calculate the modulus of elasticity. I know that the slope of the equation gives the modulus of elasticity.

but I have no clue how to even begin solving the equation Y= 3E+07x+2445.3I do know E=stress/strain... any hint or advice would help.
(do i just find the slope of elastic portion)? is that the answer?
 
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I am also struggling with a mech problem and it seems there are relatively few mechanical engineers are here. So let's try to help each other. Sorry if I can give you only general advice.
It always helps to write the units with the equations. I could pretend understanding physics a lot of times because I could deduce the rules from the units. Serious scientists also cheat the same way: http://en.wikipedia.org/wiki/Dimensional_analysis
It also helps to state the meaning of the letters used.
For now I will pretend that y is stress, x is strain, and E is not Young modulus, but 3E+07 wants to mean 3*10^7
So we have
y = ax+b
where a=30 MPa
and b=2445.3 (dimensionless)
the stress/strain function is
f(x) = ax + b
it's slope is simply its derivative
f'(x) = a
So the elastic modulus is 30 Mpa
 
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