3ME1: MECHANICS OF SOLIDS
Unit 1
Stress and Strain: Tension, compression, shearing stress and strain, Poisson's ratio, stress-strain relationship, Hooke's law, equations of static equilibrium for 2D and 3D cases, elastic constants and their relations for an isotropic hookean material, anisotropy and orthotropic, thermal stresses, composite bars, simple elastic, plastic and visco-elastic behavior of common materials in tension and compression test, stressstrain curves, concept of factor of safety and permissible stress, conditions for equilibrium, concept of free body
diagram, introduction to mechanics of deformable bodies.
Unit 2
Members Subjected to Flexural Loads: Theory of simple bending, bending moment and shear force diagrams for different types of static loading and support conditions on beams, bending stresses, sectionmodulus and transverse shear stress distribution in circular, hollow circular, I, Box, T, angle sections etc.
Unit 3
Principal Planes, Stresses and Strains: Members subjected to combined axial, bending and torsional loads, maximum normal and shear stresses, concept of equivalent bending and equivalent twisting moments, Mohr's circle of stress and strain. Theories of Elastic Failures: The necessity for a theory, different theories, significance and comparison, applications.
Unit 4
Torsion: Torsional shear stress in solid, hollow and stepped circular shafts, angular deflection and power transmission capacity. Stability of Equilibrium: Instability and elastic stability, long and short columns, ideal strut, Euler's formula for crippling load for columns of different ends, concept of equivalent length, eccentric loading, Rankine formulae and other empirical relations.
Unit 5
Transverse Deflection of Beams: Relation between deflection, bending moment, shear force and load, transverse deflection of beams and shaft under static loading, area moment method, direct integration method, method of superposition and conjugate beam method, variational approach to determine deflection and stresses in beam. Elastic Strain Energy: Strain energy due to axial, bending and torsional loads, stresses due to suddenly applied loads, use of energy theorems to determine deflections of beams and twist of shafts, Castigliano's theorem, Maxwell's theorem of reciprocal deflections.

Suggested Readings:
1. Mechanics of Materials, James M. Gere, Cengage Learning (Brooks\Cole).
2. Mechanics of Material, Pytel and Kiusalaas, Thomson (Brooks\Cole).
3. An Introduction to the Mechanics of Solids, Crandall, Dahl and Lardner, Tata McGraw Hill.
4. Mechanics of Materials, Beer, Johnston, Dewolf and Mazurek, Tata McGraw Hill.
5. Strength of Materials, Ryder G.H., Macmillan India.
6. Strength of Materials, Sadhu Singh, Khanna Publishers.
7. Mechanics of Material, Punmia, Jain and Jain, Laxmi Publications.