Mechanical properties of Solids

Ls 8 - Physics - Sugeeth Notes - 11 A - 19-40-24.pdf

Solids - Sir Solutions.pdf

MECHANICAL PROPERTIES OF SOLIDS - NOTES.pdf

Quick Overview

1. Stress (I.e. pressure on solids)

   • Normal Stress

   • Tangential Stress

2. Strain

   • Longitudinal Strain

   • Volumetric Strain

   • Shearing Strain (Tangential Strain)

   • Lateral Strain

3. Stress-Strain Curve

   • Proportionality Limit (Hooke’s Law)

   • Elastic Limit

   • Permanent Set

   • Maximum stress-strain point or Ultimate strength

   • Fracture Point

   • Ductile vs Brittle Metals

4. Hooke’s Law

5. Modulus of Elasticity

   • Young’s Modulus (Y)

   • Bulk Modulus (B)

   • Compressibility (K)

   • Modulus of Rigidity (eta)

6. Poisson’s Ratio (sigma)

7. Elastic Potential Energy (U)

8. $\frac{U}{Volume} = \frac{1}{2} (Stress)(Strain)$

Questions

1. Two bodies of masses 2kg and 3kg are connected by a metal wire of cross section 0.04 $mm^2$. The whole system is placed flat on a horizontal surface. Breaking stress of metal wire is 2.5 GPa. Find the maximum force F that can be applied to 3kg block so that wire doe not break, and the acceleration of both the bodies.