Calculating Force Using Young's Modulus

AI Thread Summary
To calculate force using Young's Modulus, the relationship between stress, strain, and the modulus of elasticity is essential. Given the change in length and original length, strain can be determined, which allows for calculating stress by multiplying strain with Young's Modulus. However, both force and cross-sectional area remain unknown, creating a circular dependency in calculations. Without one of these values, it is impossible to derive the other directly. Understanding these relationships is crucial for solving problems involving Young's Modulus effectively.
MissAlex
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1. How to calculate cross sectional area and force for Young's Modulus? My main issue is that I don't know my F or my Ao. Help?
e=Constant 2.106
DeltaL=10mm
Lo (original length of elastic)= 200mm
f=?
Ao=?

2. E= FLo
Ao(Delta)L
F= EAoDeltaLength[U/]
Lo
F= (2.106)(10mm)(Ao)
200mm

3. There are two unknown variables! How can I do this?
 
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Interesting. From the given change in length and original length, you can calculate the strain. Then you can multiply with E to obtain the stress. But you can't calculate the area if the force is unknown, and vice versa.
 
Right.
What is the force though? How can force be calculated?
How is cross-sectional area calculated?
 
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