1.1 - Stress-Strain relation
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Practice Questions
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What are the two independent Lame's constants for isotropic materials?
💡 Hint: Think of the constants associated with stress-strain relations.
Define Young's modulus in simple terms.
💡 Hint: Consider how a material's length changes with load.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the range of Poisson's ratio for isotropic materials?
💡 Hint: Think about material behavior when under stress.
Is Young's modulus defined for both elastic and plastic deformation?
💡 Hint: Consider the definitions and ranges of deformation types in materials.
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Challenge Problems
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A cylindrical rod of material has a Young's modulus of 200 GPa and is subjected to a tensile stress that produces a strain of 0.005. Calculate the elongation of a 2 m long rod. Discuss also the implications of this elongation in real-world applications.
💡 Hint: Use the standard elongation formula and explore stress relationships.
Consider the relationship between E, G, and ν. If the Young's modulus E is given, and you find Poisson’s ratio is 0.3, derive the shear modulus using the known relation.
💡 Hint: Employ relationships between moduli and confirm through calculations.
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