Question about stress and strain

In summary, stress is the force applied to a material, while strain is the resulting deformation or change in shape of the material. Different materials have varying levels of stiffness and strength, which determine how they respond to stress and strain. External factors such as tension, compression, shear, and torsion can cause stress and strain. Stress is typically measured in units of force per unit area, while strain is measured as a ratio of the change in length over the original length of the material. Understanding stress and strain is crucial in fields such as engineering, material science, and architecture, as it allows for the design and testing of materials to ensure they can withstand real-world forces.
  • #1
hoyy1kolko
10
0

Homework Statement


The elastic limit for a type of material is 1.6 x 10^8 Pa.Determine the minimum diameter if a wire which is made of this material so that it can support a load of 100N without the stress exceeding the elastic limit.


Homework Equations


elastic limit=stress
=F/A
1.6 x 10^8=100/ (pie)d^2
I can't get the answer.please help

The Attempt at a Solution

 
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  • #2
In your S = F/A formula, replace A with the area of the circular wire.
Solve for the radius or diameter.
Put in the numbers for S and F.
 

1. What is the difference between stress and strain?

Stress is the force applied to a material, while strain is the resulting deformation or change in shape of the material.

2. How does stress and strain affect different materials?

Different materials have varying levels of stiffness and strength, which determine how they respond to stress and strain. Some materials may be more elastic and return to their original shape after being stressed, while others may permanently deform or break.

3. What are examples of external factors that can cause stress and strain?

External factors that can cause stress and strain include forces such as tension, compression, shear, and torsion. These can be caused by weight, pressure, or movement applied to the material.

4. How is stress and strain measured?

Stress is typically measured in units of force per unit area, such as pounds per square inch (psi) or newtons per square meter (N/m^2). Strain is measured as a ratio of the change in length over the original length of the material.

5. What are the practical applications of understanding stress and strain?

Understanding stress and strain is crucial in the fields of engineering and material science, as it allows for the design and testing of materials to ensure they can withstand the forces they will encounter in real-world applications. It is also important in fields such as architecture, where stress and strain must be considered in the design and construction of buildings and structures.

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