📚 Key Concepts
Elastic and plastic behaviorStress and strainHooke's lawElastic moduli (Young's, Bulk, Shear)Stress-strain curveElastic limit and breaking pointElastic energy and elastic potential energy
🎯 Key Formulas
Stress = Force/AreaStrain = Change in dimension/Original dimensionYoung's modulus (Y) = Longitudinal stress/Longitudinal strainBulk modulus (K) = Pressure change/Volume strainShear modulus (G) = Tangential stress/Shear strainWork done in stretching = (1/2) × Force × ExtensionElastic potential energy per unit volume = (1/2) × Stress × Strain
⚠️ Common Mistakes to Avoid
Confusing different types of moduliWrong units for stress and strainIncorrect interpretation of stress-strain curveMixing up elastic and plastic regionsNot considering sign conventionsForgetting area changes during deformation
📖 Knowledge Prerequisites
Basic mechanics (force, pressure)Vector and scalar quantitiesUnderstanding of deformationBasic mathematical skillsArea and volume calculations
💡 Tips for Students
Remember stress is force per unit areaUnderstand the physical meaning of each modulusLearn to interpret stress-strain graphsVisualize deformations in different directionsPractice unit conversionsConnect theory with real-world examples
👉 Practice Recommedations
Calculate stress and strain in various scenariosSolve problems involving elastic moduliDraw and interpret stress-strain curvesWork on elastic energy problemsPractice problems involving combination of springsSpecial Notes:
- Stress and strain are always measured relative to original dimensions
- Materials behave differently under different types of stress
- Beyond elastic limit, Hooke's law doesn't apply
- Temperature affects elastic properties
- Different materials have different breaking points
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