Internal forces and stress-strain

In summary, internal forces are the forces within an object caused by interactions between its parts. These forces can cause the object to deform or fail, and are measured by stress and strain. Stress is the measure of internal forces per unit area, while strain is the measure of an object's deformation under stress. The two are related through a material's Young's modulus, which describes its stiffness.
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demwi
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i have attached a past paper question on internal forces and stress-strain, please help!
 

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Hi demwi, welcome to PF. Please show what you've tried so far.
 
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Internal forces and stress-strain are important concepts in the field of mechanics and materials science. Internal forces refer to the forces that are acting within a body, such as tension, compression, and shear forces. These forces arise due to the interactions between the different parts of a body and are responsible for the deformation and structural integrity of the body.

Stress-strain, on the other hand, is a measure of the internal forces that a material experiences when subjected to external loads. It is a relationship between the applied load and the resulting deformation or strain in the material. This relationship is typically represented by a stress-strain curve, which shows how the material responds to different levels of stress.

In the context of the attached past paper question, it is important to understand the relationship between internal forces, stress, and strain in order to solve the problem. The question asks for the maximum stress and strain in a steel bar subjected to a tensile force. To solve this, one needs to first calculate the internal force (tensile force) acting on the bar, and then use the stress-strain curve of steel to determine the corresponding stress and strain values.

It is also worth noting that internal forces and stress-strain are closely related to the mechanical properties of a material, such as its Young's modulus, yield strength, and ultimate strength. These properties play a crucial role in determining the behavior of a material under different loading conditions.

In conclusion, internal forces and stress-strain are fundamental concepts in the study of mechanics and materials science. They are essential for understanding the behavior of materials under different types of loads and are crucial for designing and analyzing structures and components.
 

1. What are internal forces?

Internal forces are the forces that act within a body or object. They are caused by the interactions between different parts of the object and can be either tensile, compressive, or shear forces.

2. How do internal forces affect objects?

Internal forces can cause objects to deform or change shape. They can also cause objects to break or fail if the forces exceed the object's strength.

3. What is stress?

Stress is the measure of the internal forces acting within an object per unit area. It is typically represented by the symbol σ and is measured in units of force per unit area (such as N/m² or Pa).

4. What is strain?

Strain is the measure of how much an object deforms under the influence of stress. It is typically represented by the symbol ε and is dimensionless (no units).

5. How are stress and strain related?

Stress and strain are directly related through a material's Young's modulus, which is a measure of its stiffness. The equation σ = Eε, where E is the Young's modulus, describes this relationship.

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