Stress and strain at a point – tension, compression and shear stresses – Hooke’s law - Poisson’s ratio - relationship between elastic constants – compound bars - thermal stresses – strain energy in tension, compression and shear - resilience – stresses due to impact and suddenly applied load.
Different types of beam – statically determinate and indeterminate beams - shear force and bending moment diagrams - relationship between intensity of loading, shear force and bending moment.
Theory of simple bending - Stress distribution at a cross-section due to bending moment forstatically determinate beams - flitched beams.
Shear stress distribution.
Unsymmetrical bending and Shear centre.
Torsion of circular solid and hollow shafts – combined bending moment and torsion on shafts – close coiled and open coiled helical springs
Complex stresses – principal stresses and principal planes - principal strains – graphical method
Deflection of beams – double integration method – Macaulay’s method – Area Moment method – Conjugate beam method – Strain energy approach.
Theory of columns – members subjected to axial load and bending moment – Euler’s theory for long columns – assumptions and limitations – Rankine’s formula.
Thin and thick cylinders – Lame’s equation - compound cylinders.
Theories of failure and applications in design.