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SYLLABUS

UNIT-I

SIMPLE STRESSES AND STRAINS Elasticity and plasticity – Types of stresses and strains – Hooke’s law – Stress – Strain diagram for mild steel – Working stress – Factor of safety – Lateral strain, Poisson’s ratio and volumetric strain – Elastic moduli and the relationship between them – Bars of varying section – Composite bars – Temperature stresses. Strain energy – Resilience – Gradual, Sudden, Impact and shock loadings.

UNIT-II

SHEAR FORCE AND BENDING MOMENT 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, U.D.L., 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.

UNIT-III

FLEXURAL STRESSES Theory of simple bending – Assumptions – Derivation of bending equation: M/I = f/y = E/R 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.

UNIT-IV

PRINCIPAL STRESSES AND STRAINS 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 Introduction – Various theories of failure – Maximum Principle Stress Theory, Maximum Principle Strain Theory, Strain Energy and Shear Strain Energy Theory (Von Mises Theory).

UNIT-V

TORSION OF CIRCULAR SHAFTS Theory of pure torsion – Derivation of Torsion equations: T/J = q/r = Nθ/L – Assumptions made in the theory of pure torsion – Torsional moment of resistance – Polar section modulus – Power transmitted by shafts – Combined bending and torsion and end thrust – Design of shafts according to theories of failure. THIN CYLINDERS Thin seamless cylindrical shells – Derivation of formula for longitudinal and circumferential stresses – Hoop, Longitudinal and Volumetric strains – Changes in dia, And volume of thin cylinders – Thin spherical shells.