How Do You Calculate Shear Stress in a Circular Bar Under Axial Compression?

In summary, to calculate the maximum normal and shearing stresses of a circular bar with a diameter of 0.05m and an axial compression load of 150000 N, you would use the formula stress = force/area. To solve for shear stress, you would need to consider the force and area perpendicular to the applied force, as well as the force and area parallel to the perpendicular force. The shear stress on a section SS can be found by resolving the applied force perpendicular and parallel to SS, and the formula for shear stress can be written in terms of P and the angle theta. In this specific problem, there is no angle involved. It is important to have a good understanding of shear stress in order to solve this problem effectively.
  • #1
Rieck2000
4
0
Stress's for circular bar?
Calculate the maximum normal and shearing stresses

of a circular bar with diameter 0.05m and axial compression load of 150000 N ..

I know for stress = Force / Area, how do you solve for shear stress?
 
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  • #2
Good evening Rieck and welcome to Physics Forums.

All stress is Force/Area, you just have to take the correct force and area.

Did you miss the lecture on shear stress?

Look at my diagram of your bar.

What is the stress on the area perpendicular to the applied force (area1)?
What is the stress parallel to the area perpendicular to the applied force?

What is the force applied to the area of section SS.

Can you resolve this applied force perpendicular and parallel to SS?

What is the area of SS

So what is the shear stress on SS?

If you can write down a formula for this shear in terms of P and the angle theta how do you find the maximum of an equation?
 

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  • #3
there is no angle involved in this problem.
 
  • #4
We can't help you if you don't help us.

What do you know about shear stress?
 

Related to How Do You Calculate Shear Stress in a Circular Bar Under Axial Compression?

What is stress and shear stress?

Stress is a physical quantity that measures the internal forces within a material that resist deformation. Shear stress, specifically, is a type of stress that occurs when two forces act parallel to each other in opposite directions on a material.

How is stress and shear stress calculated?

Stress is typically calculated by dividing the force applied to a material by its cross-sectional area. Shear stress is calculated by dividing the shear force by the cross-sectional area of the material being sheared.

What are some common causes of stress and shear stress?

Stress can be caused by a variety of factors, including external forces such as weight or pressure, thermal expansion, or internal forces due to structural changes. Shear stress is often caused by forces applied in opposite directions, such as when cutting or bending a material.

How can stress and shear stress impact materials?

High levels of stress and shear stress can cause materials to deform or even break. They can also lead to fatigue and failure over time, especially when repeatedly applied to a material.

What are some real-world applications of studying stress and shear stress?

Understanding stress and shear stress is crucial in the fields of engineering, materials science, and physics. It is used to design and test materials for various applications, such as building structures, bridges, and airplanes, to ensure they can withstand expected levels of stress and shear stress without failure.

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