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2 cards from this section. Quick, good the night before a test.
Define principal planes in your own words.
Think about stresses and how they differ on various planes.
What is the significance of principal stress components?
Consider what would happen if stress exceeds a certain limit.
What are principal planes?
Consider the nature of stress and planes in a material.
True or False: Principal stress components can only be negative.
Think about tension and compression in materials.
A steel beam supports a load causing varying stress distribution. Calculate the principal stresses given the stress matrix: [(200, 50, 0), (50, 150, 0), (0, 0, 100)] and determine the principal planes.
Use characteristic polynomial to find the eigenvalues.
A pressure vessel has an internal pressure causing stress; determine the principal stresses if the stress tensor is [300, 120, 0; 120, 220, 0; 0, 0, 90].
Look into solving determinants for the stress tensor.
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