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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 – Bars of varying section – Composite bars – Temperature stresses. Complex stresses – Stresses on an inclined plane under different uniaxial and biaxial stress conditions – Principal planes and principal stresses – Mohr’s circle – Relation between elastic constants, 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 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 beam sections like : Rectangular, Circular, Triangular, I, T, Angle sections.
UNIT-IV
DEFLECTION OF BEAMS Bending into a circular arc – Slope, Deflection and radius of curvature – Differential equation for the elastic line of a beam – Double integration and Macaulay’s methods – Determination of slope and deflection for cantilever and simply supported beams subjected to point loads, U.D.L. Uniformly varying load – Mohr’s theorems – Moment area method – Application to Simple cases including overhanging beams – Statically indeterminate beams and solution methods.
UNIT-V
THIN CYLINDERS Thin seamless cylindrical shells – Derivation of formula for longitudinal and circumferential stresses – Hoop, Longitudinal and volumetric strains – Changes in diameter and volume of thin cylinders – Riveted boiler shells – Thin spherical shells. THICK CYLINDERS Lame’s equation – Cylinder subjected to inside & outside pressure – Compound cylinders.
UNIT-VI
TORSION Introduction – Derivation – Torsion of Circular shafts – Pure Shear – Transmission of power by circular shafts, Shafts in series, Shafts in parallel. COLUMNS Buckling and stability, Columns with Pinned ends, Columns with other support Conditions, Limitations of Euler’s Formula, Rankine’s Formula
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CategoriesEngineering
Format EPUB
TypeeBook