If stress is given by equation 1 which implies that stress

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In summary, equation 1 is a representation of stress that takes into account factors like force, area, and deformation. It defines stress as the force applied per unit area and is applicable to mechanical stress. The implication of this equation is that as force increases, so does stress, but a larger area can decrease stress. It can be used to predict the behavior of materials under stress, helping in designing structures and materials.
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Homework Statement


If stress is given by equation 1 which implies that stress is independent of material and the 2nd equation implies it depends on the material. Inst it a contradiction?

Homework Equations


Normal stress is given by [tex]\sigma[/tex]=f/A (1)
and [tex]\sigma[/tex]=E[tex]\epsilon[/tex] (2)




The Attempt at a Solution

 
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Appearance (or lack of appearance) in the same equation doesn't imply dependence. The equation [itex]2=xy[/itex], for example, doesn't imply that the value 2 depends on the value of [itex]x[/itex].

If strain (stress) is a known function, the associated stress (strain) is material dependent.
 

Related to If stress is given by equation 1 which implies that stress

1. What is equation 1 for stress?

Equation 1 is a mathematical representation of stress, which takes into account factors such as force, area, and deformation.

2. How is stress defined in equation 1?

In equation 1, stress is defined as the force applied per unit area, and is measured in units of pressure, such as pounds per square inch (psi) or newtons per square meter (N/m²).

3. What does the implication of equation 1 mean for stress?

The implication of equation 1 for stress is that as the force applied increases, the stress on the material increases as well. Additionally, a larger area allows for a greater distribution of force and therefore a lower stress.

4. Is equation 1 universally applicable to all types of stress?

No, equation 1 is specifically applicable to mechanical stress, which is caused by external forces acting on a material. Other types of stress, such as thermal or chemical stress, may have different equations to represent them.

5. Can equation 1 be used to predict the behavior of materials under stress?

Yes, equation 1 can be used to calculate the amount of stress that a material can withstand before reaching its breaking point. This information can be helpful in designing structures and materials that can withstand certain levels of stress.

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