Tresca and Von mises question

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In summary, the conversation discusses the calculation of stress that causes yielding in a slender bar under tensile loading. The bar is also subjected to a compressive stress of 120MPa in one of its orthogonal axes. The yield strength, Young's modulus, and Poisson's ratio of the material are provided as 320MPa, 120GPa, and 0.3 respectively. The requested calculation is for the stress along the tensile axis predicted by the Tresca and von Mises criteria.
  • #1
snar123
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(need help with the following question)
A slender bar with rectangular cross section is subjected to tensile loading along its longitudinal direction. During the test, a compressive stress of 120MPa is always maintained in one of the two axes orthogonal to the longitudinal direction. The yield strength, Youngs modulus and Poisson's ratio of the material are 320MPa, 120Gpa and 0.3 respectively. Calculate the stress along the tensile axis that causes yielding predicted by the Tresca as well as von Mises criteria.
 
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  • #2
What's your question? This probably should be in the homework section.
 
  • #3
Easy plug-and-chug problem, unless I'm missing something. I guess the difficulty is determining what information is relevant. Doesn't seem to me that "slender," "E," or "PR," are relevant for you, since the applied stresses are given.
 

1. What is the difference between Tresca and Von Mises yield criteria?

Tresca yield criteria is based on the maximum shear stress theory, while Von Mises yield criteria is based on the maximum distortion energy theory. This means that Tresca considers the yield strength of a material in terms of shear stress, while Von Mises considers it in terms of the energy absorbed during deformation.

2. Which yield criteria is more commonly used in engineering?

Von Mises yield criteria is more commonly used in engineering because it takes into account both shear and normal stress components, making it more versatile and applicable to a wider range of materials and loading conditions.

3. How do Tresca and Von Mises yield criteria differ in terms of their mathematical equations?

Tresca yield criteria is represented by a simple linear equation, while Von Mises yield criteria is represented by a quadratic equation. This means that Von Mises yield criteria is more accurate and can better predict the yield behavior of materials under complex loading conditions.

4. Can Tresca and Von Mises yield criteria be used interchangeably?

No, Tresca and Von Mises yield criteria cannot be used interchangeably. They are based on different theories and have different mathematical equations, so using one in place of the other would result in different predictions of yield behavior.

5. How do Tresca and Von Mises yield criteria affect material selection in engineering design?

The choice between Tresca and Von Mises yield criteria can impact the material selection process in engineering design. For example, if a material is expected to experience high levels of shear stress, Tresca yield criteria may be more appropriate. However, if a material is expected to experience a combination of shear and normal stresses, Von Mises yield criteria would be a better choice.

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