2K6ME 303 MECHANICS OF SOLIDS
Module I (13 hours)
Introduction – general concepts – definition of stress – stress tensor – stress analysis of axially loaded members – strength design of members – axial strains and deformations in bars – stress-strain relationships – Poisson’s ratio – thermal strain – Saint Venant’s principle – elastic strain energy for uniaxial stress – statically indeterminate systems – generalised Hooke’s law for isotropic materials – relationships between elastic constants – introduction to anisotropy – orthotropy
Module II (13 hours)
Torsion – torsion of circular elastic bars – statically indeterminate problems – torsion of inelastic circular bars – axial force, shear force and bending moment – diagrammatic conventions for supports and loading, axial force, shear force and bending moment diagrams – shear force and bending moments by integration and by singularity functions
Module III (13 hours)
Bending stresses in beams – bending stresses in beams – shear flow – shearing stress formulae for beams – inelastic bending of beams – deflection of beams – direct integration method – singularity functions – superposition techniques – moment area method – conjugate beam ideas – elementary treatment of statically indeterminate beams – fixed and continuous beams
Module IV (13 hours)
Transformation of stresses and strains (two-dimensional case only) – equations of transformation – principal stresses – mohr’s circles of stress and strain – strain rosettes – compound stresses – superposition and its limitations – eccentrically loaded members – columns – theory of columns – buckling theory – Euler’s formula – effect of end conditions – eccentric loads and secant formula
Text book
1. Popov E.P., Engineering Mechanics of Solids, Prentice Hall of India
Reference books
1. Timoshenko S.P. & Young D.H., Elements of strength of materials, McGraw Hill
2. Shames I.H., Introduction to Solid Mechanics, Prentice Hall of India
3. Crandall S.H., Dahl N.C. & Lardner T.J., Introduction to Mechanics of Solids, McGraw Hill
4. Beer F.P. & Johnston E.R., Mechanics of Materials, McGraw Hill