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Sub Code: 11031-Engineering Mechanics(III SEM)
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:
Force-definition-Types of forces acting on a structural member-Definition of tension, compression, shear; Stress-strain-definition-Different types of stresses-tensile, compressive and shear stresses - Different types of strains –Tensile, Compressive and Shear strains; Longitudinal and Lateral strains-Poisson’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 modulus-Volumetric strain – Bulk modulus – Definition-Relation between three Moduli-derivation-Young’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 area-Numerical problems.
1.6 Composite Beams / Sections:
Definition – Assumptions made – Principles of analysis stress developed in Composite section and R.C.C. sections – Problems.
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.
Transverse loads-Types (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 diagrams-Significance of point of contra flexure-Relation 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).
Geometrical properties -Definition of centroid and center of gravity – Centroid of regular geometrical figures-Centroid of symmetric, symmetric, and anti symmetric practical sections-Built up structural sections-Numerical 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 axis-MI 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.
4.1 Stresses in Beams due to bending:
Introduction-Bending stress-Neutral axis-Theory of simple bending-Assumption- Moment of resistance – Bending stress distribution – curvature of beam – Derivation of flexure equation M / I = E / R = / Y – Position of N.A and centroidal axis-Stiffness equation- Flexural rigidity-Definition and significance-Strength equation- Section modulus- Definition and significance- Numerical problems.
4.2 Stress in shafts due to torsion:
Introduction-Couple-Torque (or) Twisting moment-Assumptions-Shear stress distribution in circular section due to torsion-Derivation or torsion equation T / J = / R = N / l – Strength and stiffness of shafts – Torsional rigidity-Torsional modulus- Power transmitted by a shaft – comparitive analysis of hollow and solid shafts – Numerical problems.
Frame / truss- definition-Determinate and indeterminate frames-Classification of frames- Perfect and imperfect frames-Deficient and redundant frames-Formulation of a perfect frame-Common types of trusses-Support conditions-Resolution of a force-Designation of a force-Nature of forces in a frame- Analysis-Assumptions- Methods of analysis.
5.2 Analytical method
Types of analysis-method of joints versus method of sections-Analysis 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:
Introduction-Space diagram-Bow’s notation-Resultant force- Equilibrant force vector diagram-Determination of forces in a cantilever / simply supported determinate truss with vertical load only.
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