Tensile stress with unequal forces

In summary, the stress σ (defined as normal force/area, in N/m^2) for a simple situation with unequal forces can be determined by considering the acceleration of the system. It is important to note that the stress will vary along the length of the sample, with the highest stress occurring at the "front" end where the acceleration is greatest. To accurately calculate the stress, a Free Body Diagram and Newton's 2nd Law should be used to determine the force at each section of the sample.
  • #1
juraj5
1
0
I need to find the stress σ (defined as normal force/area, in N/m^2) for the following simple situation. The forces are not equal. I can't wrap my head around what's going on - the whole system should be accelerated, so what's the final force that should be used for calculating the stress?
 

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  • #2
Shouldn't it depend where along the length of the sample you evaluate the stress? I think the stress will be greatest at the "front" end, the end moving forward?
 
  • #3
The force and hence the stress in the accelerating sample is variable, and at a maximum, as Spinnor has noted, at the 'front' end. You should draw a Free Body Diagram and apply Newton's 2nd Law to find what force acts at any given section, and in particular, what is the force at the front end? Back end? Middle?
 

Related to Tensile stress with unequal forces

What is tensile stress with unequal forces?

Tensile stress with unequal forces is a type of stress that occurs when two forces of unequal magnitude act on opposite sides of an object, causing it to stretch or elongate.

How is tensile stress with unequal forces calculated?

Tensile stress with unequal forces can be calculated by dividing the difference between the two forces by the cross-sectional area of the object. The resulting value is the tensile stress in units of force per unit area.

What are the effects of tensile stress with unequal forces on an object?

The effects of tensile stress with unequal forces on an object can include elongation, deformation, and potential failure or breakage. The magnitude of the stress and the properties of the object will determine the extent of these effects.

How does tensile stress with unequal forces differ from other types of stress?

Tensile stress with unequal forces differs from other types of stress, such as compressive stress, in that it causes an object to elongate or stretch rather than compress. This type of stress is often seen in materials like rubber bands or springs.

What are some real-world applications of tensile stress with unequal forces?

Tensile stress with unequal forces is commonly seen in engineering and construction, where it is used to design and test the strength of materials and structures. It is also important in the study of biomechanics and the human body, where it can help understand the impact of forces on bones, muscles, and other tissues.

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