Solid Mechanics

Unit 1

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.

Unit 2

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

Unit 3

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.