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You are here:Open notes-->VTU-->10me34-Mechanics-of-materials

10me34 Mechanics of materials

HOW TO STUDY THIS SUBJECT

UNIT 1:Simple Stressand Strain:Introduction,Stress, strain, mechanicalproperties of materials, Linearelasticity, Hooke's Law and Poisson's ratio,Stress-Strain relation-behaviour in tension for Mild steel, cast ironandnon ferrous metals. Extension / Shortening of a bar, bars with crosssections varying in steps,bars with continuously varying cross sections(circular and rectangular), Elongation due to self weight,Principle of superposition.07Hours

UNIT 2:Stress in Composite Section:Volumetric strain, expression forvolumetric strain, elastic constants,simple shear stress, shear strain,temperature stresses (including compound bars).06Hours

UNIT 3:Compound Stresses:Introduction,Plane stress, stresses on inclinedsections, principal stresses and maximum shear stresses, Mohr's circle forplane stress.07Hours

UNIT 4:Energy Methods: Work and strain energy, Strain energy in bar/beams,Castigliniostheorem, Energy methods.Thick andThinCylinderStresses in thin cylinders, changes indimensions of cylinder (diameter,length and volume).Thick cylindersLame’sequation(compound cylinders not included

UNIT 5:Bending Moment and Shear Force in Beams: Introduction, Types ofbeams, loads and reactions, shear forces and bending moments, rate ofloading, sign conventions, relationship between shear force and bendingmoments.Shearforce and bending moment diagrams for different beamssubjected to concentrated loads, uniformlydistributed load,(UDL)uniformlyvarying load(UVL)and couple for different types of beams

Unit 06:Bending and Shear Stresses in Beams: Introduction, Theory of simplebending, assumptions insimple bending.Bending stress equation,relationship between bendingstress,radius of curvature, relationshipbetween bending momentand radius of curvature.Momentcarryingcapacity of a section.Shearing stresses in beams, shear stress acrossrectangular, circular, symmetrical Iand T sections.(composite /notchedbeams not included).07Hours


UNIT 7:Deflection of Beams: Introduction,Differential equation for deflection.Equationsfor deflection, slope andbendingmoment.Double integrationmethod for cantilever andsimply supported beams for point load, UDL,UVL and Couple. Macaulay's method06Hours


UNIT 8:Torsion of Circular Shafts and Elastic Stability of Columns:Introduction.Pure torsion,assumptions, derivation of torsional equations,polar modulus, torsionalrigidity / stiffness of shafts.Powertransmitted bysolid and hollow circular shaftsColumns:Euler's theory for axiallyloaded elastic long columns.Derivation of Euler's load for various end conditions, limitations of Euler'stheory, Rankine's formula.06Hours


TEXT BOOKS:1."Mechanics of Materials",by R.C.Hibbeler, Prentice Hall. PearsonEdu., 20052."Mechanics of materials",James.M.Gere, Thomson, Fifth edition2004.3."Mechanics of materials",inSI Units, Ferdinand Beer & RussellJohston,5thEd.,TATA McGrawHill-2003.


REFERENCE BOOKS:1."Strength of Materials",S.S. Rattan, Tata McGraw Hill, 20092."Strength of Materials",S.S.Bhavikatti, Vikas publications House-1Pvt. Ltd., 2nd Ed., 2006.3."Mechanics ofMaterials",K.V. Rao, G.C. Raju,First Edition, 20074."EngineeringMechanicsofSolids",Egor.P. Popov, Pearson Edu. India,2nd, Edison, 1998.5."Strength of Materials",W.A. Nash,5th Ed.,Sehaum'sOutline Series,Fourth Edition-200


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