Importance of study of Engineering Mechanics / Strength of materials. Mechanical properties of materials Elasticity, Plasticity, Hardness, Toughness




НазваниеImportance of study of Engineering Mechanics / Strength of materials. Mechanical properties of materials Elasticity, Plasticity, Hardness, Toughness
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Sub Code: 11031-Engineering Mechanics(III SEM)


UNIT

TOPIC

I

Simple Stresses & Strains

II

Shear Force & Bending Moment

III

Geometrical Properties of Sections

IV

Stress in Beams & Shafts

V

Pin Jointed Frames

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:
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.

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 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).

Unit 3:

3.1 Centroid:
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.

Unit 4:

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.

Unit 5:

5.1 Introduction:
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.

Reference Books:   

  1. S.B.Junnarkor,” Mechanics of Structures Vol.I”, 17th Edition,

  2. V.Natarajan ,” Elements of Applied Mechanics”, Oxford & IBH Publishers

  3. Vazirani & Ratwani,”Analysis of Structures Volume I”,Khanna publishers,17th ,2003

  4. Dr.N.V.Arunachalam,  Textbook of graphics Statics

  5. S.Ramamirtham ,”Strength of materials”, Dhanpat Rai, 14th
     Edition,2003. 

  6. Timoshenko and Young,” Elements of strength of materials”, CBS Publications

  7. R.S.Khurmi,” Strength of materials”,  S.Chand & company, 2nd Edition,1979.

  8. S.A.Urry,” Solution of problems in strength of materials”, Sir. Isaac Pitman & sons Ltd.

  9. R.L.Jindal,” Elements of Theory of structures”, S.Chand & company, 2nd Edition,1970.

  10. Dr.A.Elangovan ,” Engineering mechanics Tamil version”,  - Anna University



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