Practice Special Case Ii (2.2) - Mohr’s Circle Recap

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6 sample questions

Question 1.
What happens to the stress components when λ1 = λ2 = λ3?
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Think about how pressure acts in a fluid.
Question 2.
Define hydrostatic state of stress.
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Focus on the equality aspect of the stresses.
3Question 3.
What does it mean when λ1 = λ2 = λ3?
- All principal stresses are equal
- There is only shear stress
- The material fails
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Think about what the equality implies.
4Question 4.
In a hydrostatic state of stress, what is τ?
- True
- False
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Consider the definition of shear stress.
Question 5.
Consider a cylindrical pressure vessel subjected to equal internal pressures on all surfaces. Analyze how this situation represents a hydrostatic state.
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Assess pressure distribution and shear.
Question 6.
If a fluid has equal pressures acting in all directions, derive the condition for equilibrium under hydrostatic stress.
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Reflect on the equilibrium conditions for static fluids.

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