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MECHANICS OF SOLIDS


UNIT I - CONCEPT OF STRESSES AND STRAINS (12 hours)
Concept of stress and strain, Hooke's law - Tension, Compression, and Shear, stressstrain diagram - Poisson's ratio, elastic constants and their relationship - Deformation of simple and compound bars. Thermal stresses – simple and Composite bars.Principal plane, principal stress, maximum shearing stress - Uniaxial, biaxial state of stress - Mohr's circle for plane stresses.


UNIT II - ANALYSIS OF BEAMS (12 hours)
Types of beams and loads - shear force and bending moment diagrams for cantilevers, simply supported and over hanging beams. Theory of pure bending -Bending stresses in simple and composite beams. Shear stress distribution in beams of different sections.


UNIT III - TORSION OF SHAFTS (12 hours)
Theory of pure torsion, torsion of circular shafts and composite shafts.


UNIT IV - DEFLECTION OF BEAMS (12 hours)
Slope and deflection of cantilever, simply supported beam by double integration method - Macaulay's method - Moment area method - Castigliano's theorem.


UNIT V - COLUMNS AND CYLINDERS (12 hours)
Columns and struts: Member subjected to combined bending and axial loads, Euler's theory, Crippling load, Rankine's theory. Cylinders And Shells: Thin cylinder,thin spherical shells under internal pressure - Thick cylinders - Lame's equation -Shrink fit and compound cylinders.
TOTAL : 60


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