Скачать 2.38 Mb.

Sub Code: 11031Engineering Mechanics(III SEM)
Unit 1: 1.1 Introduction: Importance of study of Engineering Mechanics / Strength of materials. Mechanical properties of materials – Elasticity, Plasticity, Hardness, Toughness, Brittleness, Ductility, Creep, Fatigue. 1.2 Stress and strain: ForcedefinitionTypes of forces acting on a structural memberDefinition of tension, compression, shear; StressstraindefinitionDifferent types of stressestensile, compressive and shear stresses  Different types of strains –Tensile, Compressive and Shear strains; Longitudinal and Lateral strainsPoisson’s Ratio Numerical problems on stress and strain. 1.3 Moduli of Elasticity / Elastic constants: Elasticity –Elastic limit Hooke’s law – Young’s modulus of Elasticity –Rigidity modulusVolumetric strain – Bulk modulus – DefinitionRelation between three ModuliderivationYoung’s modulus for selected engineering materials Numerical problems. 1.4 Application of stress and strain in engineering field: Deformation of prismatic bars subjected to uniaxial load Deformation of stepped bars Deformation of prismatic bars due to self weight Numerical problems. 1.5 Behavior of ductile and brittle material: Load extension curve of ductile and brittle material – Limit of proportionality, Elastic limit, Yield stress, Ultimate stress, Breaking stress, Factor of safety, Significance of percentage of elongation and reduction in areaNumerical problems. 1.6 Composite Beams / Sections: Definition – Assumptions made – Principles of analysis stress developed in Composite section and R.C.C. sections – Problems. Unit 2: 2.1 Introduction: Definition of a beam and reaction – Support conditions and diagrammatic representation – Types of beams based on support conditions – Diagrammatic representation of beams – Static equilibrium equations – Determinate and indeterminate beams. 2.2 Loads: Transverse loadsTypes (Concentrated, uniformly distributed and varying loads)Diagrammatic representation of beams with different loads. 2.3 Shear force and Bending Moment: Definition – Conventional signs used for S.F. and B.M – S.F and B.M of determinate beams – S.F and B.M diagramsSignificance of point of contra flexureRelation between intensity of load S.F and B.M. – Numerical problems on S.F and B.M.(Determinate beams with concentrated loads and udl only). Unit 3: 3.1 Centroid: Geometrical properties Definition of centroid and center of gravity – Centroid of regular geometrical figuresCentroid of symmetric, symmetric, and anti symmetric practical sectionsBuilt up structural sectionsNumerical problems. 3.2 Moment of Inertia: Definition and notation of Moment of Inertia, Polar moment of inertia, Radius of gyration, section modulus and polar modulus, Parallel and perpendicular axes theorems; M.I. of regular geometrical plane sections (rectangular, triangular and circular sections) – M.I. about centroidal axisMI about base, Radius of gyration section modulus Polar moment of inertia – Polar modulus Numerical problems MI of symmetric, asymmetric, antisymetric and built up sections – Numerical problems. Unit 4: 4.1 Stresses in Beams due to bending: IntroductionBending stressNeutral axisTheory of simple bendingAssumption Moment of resistance – Bending stress distribution – curvature of beam – Derivation of flexure equation M / I = E / R = / Y – Position of N.A and centroidal axisStiffness equation Flexural rigidityDefinition and significanceStrength equation Section modulus Definition and significance Numerical problems. 4.2 Stress in shafts due to torsion: IntroductionCoupleTorque (or) Twisting momentAssumptionsShear stress distribution in circular section due to torsionDerivation or torsion equation T / J = / R = N / l – Strength and stiffness of shafts – Torsional rigidityTorsional modulus Power transmitted by a shaft – comparitive analysis of hollow and solid shafts – Numerical problems. Unit 5: 5.1 Introduction: Frame / truss definitionDeterminate and indeterminate framesClassification of frames Perfect and imperfect framesDeficient and redundant framesFormulation of a perfect frameCommon types of trussesSupport conditionsResolution of a forceDesignation of a forceNature of forces in a frame AnalysisAssumptions Methods of analysis. 5.2 Analytical method Types of analysismethod of joints versus method of sectionsAnalysis of simple cantilever and simply supported determinate trusses with nodal concentrated vertical loads Numerical problems by method of joints only for vertical loads – Identification of zero force members of a determinate truss. 5.3 Graphical Method: IntroductionSpace diagramBow’s notationResultant force Equilibrant force vector diagramDetermination of forces in a cantilever / simply supported determinate truss with vertical load only. Reference Books:
