3.2.1 - Representation of stress tensor in Cartesian coordinate system
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Practice Questions
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Define shear stress.
💡 Hint: Think about how layers of material might slide over each other.
What does the normal stress component indicate?
💡 Hint: Consider how forces applied can stretch or compress materials.
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Interactive Quizzes
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What is the primary use of the stress tensor?
💡 Hint: Consider its purpose in structural analysis.
True or False: Shear stress acts perpendicular to a surface.
💡 Hint: Review the definitions of shear and normal stresses.
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Challenge Problems
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Given a cuboid with σ₁₁ = 10 MPa, σ₂₂ = -5 MPa, τ₁₂ = 3 MPa, calculate the resultant stress vector on one of its faces.
💡 Hint: Break it down into components for calculations.
A new material has an initial stress tensor of σ = [[5, 2], [2, 3]] in an arbitrary orientation. If it rotates by 45 degrees, how do the stress components transform?
💡 Hint: Think about using trigonometric identities to analyze the transformations.
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