Notes for Mechanics of Solids - MOS by Kalyani Singh

Simple Stress and Strain -Load, Stress, Principle of St.Venant, Principle of Superposition, Strain, Hooke’s law, Modulus of Elasticity, Stress-Strain Diagrams, Working Stress, Factor of safety, Strain energy in tension and compression, Resilience, Impact loads, Analysis of Axially Loaded Members, Composite bars in tension and compression, temperature stresses in composite rods, Statically indeterminate problems, Shear stress, Complimentary shear stress, Shear strain, Modulus of rigidity, Poisson’s ratio, Bulk Modulus, Relationship between elastic constants

Compound Stress and strain- Stresses in thin cylinders, thin spherical shells under internal pressure, wire winding of thin cylinders.Analysis of Biaxial Stress. Plane stress, Principal stress, Principal plane, Mohr’s Circle for Biaxial Stress, Two dimensional state of strain, Mohr’s circle for strain, Principal strains and principal axes of strain, strain measurements, Calculation of principal stresses from principal strains

Shear Force and Bending Moment for Determinate Beams - Types of load and Types of support. Support reactions,Shear force and bending moment, Relationship between bending moment and shear force, Point of inflection, Shear Force and Bending Moment diagrams for determinate beams

wire winding of thin cylinders

Simple Bending of Beams - Theory of simple bending of initially straight beams, Bending stresses, Shear stresses in bending, Distribution of normal and shear stress, beams of two materials, Composite beams

Deflection of Beams - Differential equation of the elastic line, Slope and deflection of beams by integration method and area - moment method

Theory of Columns - Eccentric loading of a short strut, Long columns, Euler’s column formula, Lateral buckling, Critical Load, Slenderness ratio

Torsion in solid and hollow circular shafts - Twisting moment, Strain energy in shear and torsion, strength of solid and hollow circular shafts. Stresses due to combined bending and torsion, Strength of shafts in combined bending and twisting