Elasticity short notes, Schemes and Mind Maps of Physics

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ELASTICITY KEY CONCEPTS AND FORMULAS” 1. ELASTIC VS PLASTIC BODY Regains original shape after removing deforming force Plastic body: Does not return to its original shape after deformation 2. STRESNG AND STRAIN Stress = Strain Strain = Change in dimension Original dimension 3. STRESS AND STRAIN Stress = Force /Area Strain = Change in dimension Original dimension 4. MODULUS OF ELASTICITY Young’s Modulus (Y) for linear deformation (length) Bulk Modulus (B) for volume defomation Shear Modulus (n) for shape deformation 4. MODULUS OF ELASTICITY Young’s Modulus (Y) = Lineardeformation (length) Bulk Modulus (B) = Volume deformation Shear Modulus (n) = Shape deformation 5. SPRING ANALOGY F = kx spring constant F=kx 1 2 1 Equlvalent springs: —=—+— é oe Keg ky ky 6. ELASTIC POTENTIAL ENERGY Elastric potential energy stored in a stretched wire/sring U= 5 Stress Strain Wiy — pg ome ae, 8. POISSON’S RATIO (0) Lateral strain Longitudinal strain 7. ELONGATION DUE TO SELF WEIGHT Elongation of a verrical wire: AL = pgl? Y=2n(l+o) Y = 3B(1-2¢) 9. RELATION AMONG ELASTIC CONSTANTS