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Math Problem Analysis
Mathematical Concepts
Stress-Strain Analysis
Hooke's Law
Circular Cross-Section
Young's Modulus
Formulas
Stress σ = P / A
Elongation ΔL = PL / AE
Area of a circle A = πd² / 4
d = √(4P / (πσ)) for stress condition
d = √(4PL / (πEΔL)) for elongation condition
Theorems
Hooke's Law for linear elasticity
Stress-Strain Relationship in materials
Suitable Grade Level
Undergraduate Level - Engineering (Strength of Materials)
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