MHT-CET : Physics Entrance Exam

### MHT - CET : Physics - Elasticity Formulae Page 1

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1. Stress

 Stress = Internal restoring force = Applied force Area Area

2. Longitudinal Stress and Volume Stress

 Longitudinal stress = Mg where M is a mass attached to a wire of radius r. pr2

Volume stress = Change in pressure =
D p

3. Shearing Stress

 Shearing stress = tangential force = F Area A

4. Longitudinal Strain

 Longitudinal strain = l where l is the extension of a wire of length L. L

5. Volume Strain

 Volume strain = dV where dV is the change in volume of an object of volume V. V

 6. Shearing Strain Shearing strain = q (= tan q).

7. Young's Modulus

 Y = MgL (symbols have their usual meanings). pr2l

8. Bulk Modulus and Compressibility

 K = VDP (numerically) (symbols have their usual meanings). DV

 Compressibility = 1 Bulk modulus

9. Modulus of Rigidity

 h = F (symbols have their usual meanings). Aq

10. Lateral Strain

 Lateral strain = DD where DD is the change in the diameter D of a wire. D

11. Poisson's Ratio

 s = LDD DDL

12. Work Done in Stretching a Wire

 Work done in stretching a wire = 1 ´ force ´ elongation. 2

13. Strain Energy Per Unit Volume

 Strain energy per unit volume = 1 ´ longitudinal stress ´ longitudinal strain 2

 = 1 ´ y ´ (longitudinal strain)2 2

 = 1 ´ (longitudinal stress)2 2 y

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