Strength of Materials (MEE2002)
Credits : 4
REFERENCE BOOK: MECHANICS OF MATERIALS
Simple Stresses and strains
Topics Included: Definition/derivation of normal stress, shear stress, and normal strain and shear strain – Stress-strain diagram for brittle and ductile materials - Poisson’s ratio & volumetric strain – Elastic constants – relationship between elastic constants and Poisson’s ratio – Generalised Hook’s law – Deformation of simple and compound bars – Strain energy – Resilience – Gradual, sudden, impact and shock loadings – thermal stresses.
Bi-axial Stress system
Topics Included: Introduction – Stresses on an inclined section of a bar under axial loading – compound stresses – Normal and tangential stresses on an inclined plane for biaxial stresses – Two perpendicular normal stresses accompanied by a state of simple shear – Mohr’s circle of stresses – Principal stresses and strains – Analytical and graphical solutions, Theories of Failure.
Shear Force and Bending Moment
Topics Included: Definition of beam – Types of beams – Concept of shear force and bending moment – S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, uniformly distributed loads, uniformly varying loads and combination of these loads – Point of contra flexure – Relation between S.F., B.M and rate of loading at a section of a beam.
Stresses in beams
Topics Included: *Theory of simple bending – Assumptions – Derivation of bending equation - Neutral axis – Determination of bending stresses – section modulus of rectangular and circular sections (Solid and Hollow), I, T, Angle and Channel sections – Design of simple beam sections, Shear Stresses: Derivation of formula – Shear stress distribution across various beams sections like rectangular, circular, triangular, I, T angle sections.
Deflection of beams
Topics Included: *Deflection of beams by Double integration method – Macaulay’s method – Area moment theorems for computation of slopes and deflections in beams – Conjugate beam method.
Topics Included: *Introduction to Torsion – derivation of shear strain – Torsion formula – stresses and deformations in circular and hollow shafts – Stepped shafts – shafts fixed at the both ends – Design of shafts according to theories of failure, Stresses in helical springs.
Topics Included: Theory of columns – Long column and short column - Euler’s formula – Rankine’s formula.