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3 cards from this section. Quick, good the night before a test.
What is the definition of longitudinal strain (ϵ)?
Think of it as how much the length of the cylinder changes under load.
What do we denote the displacement component in a hollow cylinder?
Remember it captures how the cylinder stretches.
What does u represent in a hollow cylinder?
Think of how the cylinder stretches along its length.
True or False: Longitudinal strain ϵ is dependent on radial distances.
It's constant for the analysis.
A hollow cylinder experiences an internal pressure of 10 MPa. Derive the expressions for radial and hoop stresses, given that inner radius is 0.1 m and outer radius is 0.2 m. Assume linear elastic behavior.
Focus on how pressure influences the radial stress at different points.
When a hollow cylinder undergoes an axial load, how does it affect the hoop stress? Explain the relationship mathematically and contextually.
Evaluate how axial and hoop stresses interact through the derived equations.
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