Path of shear stress over one load cycle

In summary, you have a lot of data for the same material, including normal and shear tension, equivalent tension, deformation, and number of cycles until failure. To calculate the path of shear stress over one load cycle, you can use the equations for normal and shear stress, and plot them against each other. This can help in understanding the material's response to applied forces and predicting its failure. You can also use the given data on deformation and number of cycles until failure to analyze its fatigue behavior. Good luck!
  • #1
dilasluis
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Homework Statement


normal tension [MPa], shear tension [MPa], equivalent tension [MPa], deformation [%], number of cycles until failure
all this are given for a lot of specimen of the same material


Homework Equations


[tex]\sigma_\theta[/tex], [tex]\tau_\theta[/tex]


The Attempt at a Solution


Find [tex]\sigma_\theta[/tex] and [tex]\tau_\theta[/tex] for different planes but don't know how to calculate the path of shear stress over one load cycle.
 
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  • #2


Hello, thank you for your post. It seems like you have a lot of data on hand for the same material and are trying to determine the stress on different planes. To calculate the path of shear stress over one load cycle, you can use the equations for normal and shear stress, which you have already listed (\sigma_\theta and \tau_\theta). These equations relate the stress on a given plane to the applied forces and the geometry of the material. Once you have calculated the normal and shear stress on each plane, you can plot them against each other to get the path of shear stress over one load cycle. This will give you a better understanding of how the material responds to applied forces and can help in predicting its failure. Additionally, you can also use the given data on deformation and number of cycles until failure to analyze the fatigue behavior of the material. I hope this helps and good luck with your research!
 
  • #3
Can you please provide more information on the context of this problem? What is the load cycle referring to and what is the purpose of finding the path of shear stress? Without this information, it is difficult to provide a specific response. However, in general, the path of shear stress over one load cycle can be visualized as a graph with shear stress on the y-axis and time or number of cycles on the x-axis. This graph can show the changes in shear stress over the course of one load cycle, which can provide insights into the material's behavior and potential failure mechanisms. To calculate the path of shear stress, you would need to have data on the shear stress at different points in time or cycles, and then plot this data on a graph. From there, you can analyze the trends and patterns in the data to understand the material's response to the applied load.
 

1. What is the definition of shear stress?

Shear stress is a type of stress that occurs when two forces act parallel to each other in opposite directions, causing deformation or sliding of the material.

2. How is shear stress calculated?

Shear stress is calculated by dividing the force applied parallel to the cross-sectional area of the material. It is denoted by the symbol τ (tau) and its unit is expressed in units of force per area, such as N/m2 or Pa.

3. What is the significance of studying the path of shear stress over one load cycle?

Studying the path of shear stress over one load cycle allows scientists to understand the behavior and durability of materials under repeated loading. It helps in predicting the failure of materials and designing structures that can withstand cyclic loading.

4. How does the path of shear stress over one load cycle differ from that of a single load?

In a single load, the shear stress is constant throughout the loading period. However, in a load cycle, the shear stress varies as the load is applied and removed repeatedly, resulting in a different path of shear stress over time.

5. What factors can affect the path of shear stress over one load cycle?

The path of shear stress over one load cycle can be affected by various factors such as the magnitude and direction of the applied load, the type of material, its properties, and the presence of any defects or imperfections in the material.

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