Concept of stress, normal and shearing stresses in axially loaded memebers, factor of sfety and introduction to design for strength -
concept of strain, normal and shearing strains - stress-strain relationship - generalised Hook's Law - strain compatibility in two
dimensions and application to isotropic materials - plane stress and plane strain - Poisson's ratio - stress strain diagrams for uniaxial
loading - strain measurements - strain energy - relationship between elastic constants - deformation of axially loaded members and
statically indeterminate problems - thermal stresses; Torsion of circular shafts - stress and deflections in close coiloed helical springs
subjected to axial forces; Memebers subjected to flexural loads - reactions for statically determinate beams - relationships between load,
shear force and bending moment - shear force and bending moment diagrams - singularity functions - application of Dirac Delta
functions in beam bending problems; Elastic curve - theory of simple bending - bending stresses in beams - members subjected to
combined loads - stresses in short struts with eccentric loading - kern of rectangular and circular sections - composite beams - built up
beams, shear flow and shear centre; Transformation of plane stresses and strains - principal stresses and principal planes - principal
strains - Mohr's Circle of stresses and strains - principal stresses in 3 D - strain rosettes, principal stresses for strain measurements;
compounding of stresses - combined bending and torsion - investigation of stress at a point - thin walled pressure vessels - Hoop's stress
- biaxial stresses - yield theories - principles of design for strength; deflection of beams - direct integration method, moment area
method - buckling of columns - Euler's theory - critical loads and critical stresses for different types of constants - statically
indeterminate structures - theorem of three moments - strain energy due to pure bending and shearing stresses - deflection by energy
method.
Reference Books:
1. Engineering Mechanics of Solids by E.P.Popov, Prentice Hall/ Pearson Education
2. Introduction to Solid Mechanics by I.H.Shames, 2nd ed., Prentice Hall/ Pearson Education
3. Mechanics of Solids,Singh, Pearson Education
4. Strength of Materials Vols - I & II by S.P.Timoshenko, CBS Publishers
5. Introduction to the Mechanics of Solids by S.H.Crandall, N.C.Dahl and T.J.Lardner, 2nd ed., McGraw Hill International.