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For the biaxial plane stress condition, the von Mises yield criteria can be expressed as: σ12+σ32 – σ1σ3= σo2 The above equation physically represents _________

For the biaxial plane stress condition, the von Mises yield criteria can be expressed as: σ12+σ32 – σ1σ3= σo2 The above equation physically represents _________ Correct Answer ellipse

Considering the σ1, σ3 as the x-axis and y-axis respectively. σo2 is a constant, so the equation is the standard form of an ellipse whose major axis is √2σo and minor axis is √(2/3)σo

Related Questions

For the biaxial plane stress condition, the von Mises yield criteria can be expressed as ___________ Given that principal stresses are σ1, σ2, σ3 where σ2=0 and yield stress is σo.
Identify the correct statements from the following:
P. 0.2% yield strength of a material implies 0.2% of the yield strength.
Q. Von-Misses yield criterion implies that yielding occurs when the distortion energy reaches a critical value.
R. Radius of the cylinderical Von-Misses yield surface increases as the grain, size of a single phase material decreases.
S. Tresca's yield criterion gives a circular cylinderical surface in the space of the three principal stresses.
The final result for von-Mises theory for the distortion relating the yield stress with stress deviator is: σo = 1/√2 1/2 Where σo yield stress in uniaxial tension.
The greatest divergence in predicting the yield stress for distortion between the Tresca’s criteria and Von-Mises criteria occurs at __________
Study the following information carefully and answer the question given below. The following criteria have been introduced for the appointment of a scientist in a research organization. Candidates: 1) Must be a postgraduate in Mathematics/Physics/Chemistry subject with a minimum of 65% marks 2) Age should not be less than 26 years and not more than 35 years as on 01-01-2018 3) Must have a post-doctoral degree with more than 50% marks 4) Should have a minimum of 3 years of experience in the above fields 5) Should be prepared to be under probation for one year If the candidate satisfies all the criteria other than (3), he may be designated as Project Scientist. If the candidate satisfies all the above criteria other than (3) and (4) he may be referred for the post of Junior Scientist. If the candidate fulfills all the above criteria with 7 years of experience in the relevant fields, he/she can be designated as a Senior Scientist. If the candidate fulfills all the above criteria with 12 years of experience in the relevant field, he/she can be designated as Principal Scientist. Varun's age is 27 years as of 1/1/18, he obtained his bachelor's and master's degree in chemistry with 72% and 76% marks respectively. He also had 4 years of experience in the relevant field and was ready to be under probation for one year of the job. to what position he may be assigned
For the state of plane strain, the maximum shear stress and von-mises yield criteria are equivalent.
Stress analysis of structural material for the submarine gives the state of stress as shown in the figure. The yield strength of the material is 450 MPa. Using Von-mises yielding criteria determine whether yielding will occur or not? If not, what is the factor of safety?
In the yield criteria of metal, von-mises criteria are also known as distortion energy theory.
Consider the following statements: X. Two-dimensional stresses applied to a thin plater in its own plane represent the plane stress condition. Y. Normal and shear stresses may occur simultaneously on a plane. Z. Under plane stress condition, the strain in the direction perpendicular to the plane is zero. Which of the above statements are correct?
If the specimen is deformed plastically beyond the yield stress in one direction, e.g., tension and then after unloading it is loaded in the opposite direction, e.g., compression, it is found that the yield stress is less than the original yield stress. This dependence of yield stress on direction loading is called ____________