Biju Patnaik University of Technology, Odisha, Mechanical Engineering Semester 4, Advanced Mechanics of Solids Syllabus

Advanced Mechanics of Solids 

MODULE – I
Elementary concept of elasticity, stresses in three dimensions, Principal Stresses, Stress Invariants, Mohr’s Circle for 3-D state of stress, Octahedral Stresses, State of pure shear, plane stress. Differential equations of equilibrium.

MODULE - II
Analysis of strain, State of strain at a point, Strain Invariant, Principal Strains, Plane state of strain, Strain measurements. compatibility conditions.
Energy Methods: Work done by forces and elastic strain energy stored. Reciprocal relations, Theorem of virtual work, Castigliano’s theorems.

MODULE – III
Bending of beams: Asymmetrical bending, Shear centre, Bending of curved beams, Stress distribution in beam with rectangular, circular and trapezoidal cross section, stresses in crane hooks, ring and chain links., Deflection of thick curved bars.
Axisymmetric problems: Thick walled cylinder subjected to internal and external pressures, Compound cylinders, Shrink fit.

MODULE – IV
Repeated stresses and fatigue in metals, Fatigue tests and fatigue design theory, Goodman, Gerber and Soderberg criteria, Concept of stress concentration, Notch sensitivity.

MODULE-V
Introduction to Mechanics of Composite Materials: Lamina and Laminates, Micromechanics of FRP Composites.
Introduction to Fracture Mechanics: Basic modes of fracture, Fracture toughness evaluation.