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3 cards from this section. Quick, good the night before a test.
What is the relationship described by Castigliano's First Theorem?
Think about how energy changes when forces are applied.
Define strain energy in your own words.
Consider what happens when a material is stretched or compressed.
What does Castigliano’s First Theorem calculate?
Focus on what the theorem is specifically concerned with.
True or False: Fictitious forces are used to make calculations simpler in redundant structures.
Remember how these forces aid in simplifying the analysis.
Using Castigliano's First Theorem, calculate deflection for a cantilever beam with a point load at its free end. Assume L = 5 m, E = 200 GPa, I = 5 x 10⁻⁶ m⁴.
Ensure to convert units appropriately when substituting.
Consider a complex truss with multiple members subjected to external loads. Apply Castigliano's Second Theorem and outline the steps to compute deflections without solving directly using basic equilibrium.
Breaking the problem into smaller parts will make it easier.
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