## Indian Institute of Science Education and Research Bhopal

**Bhopal Bypass Road, Bhauri, Bhopal - 462 066, Madhya Pradesh, India**

**ME 302: Mechanics** (4)

*Learning Objectives*:

To gain an initial understanding about the internal forces and relative displacements in systems of solids and/or fluids seemingly at rest (statics). Mechanics is the physical study of solid and fluids (for example: liquids, gases etc.) and the forces acting on them. The main objective of this course is to show how to present engineering problems in mathematical terms with suitable correlations. A basic understanding of industrial machinery and a fundamental understanding of mechanics principles underlying their working would be the aim of this course.

*Course Contents*:

**Part I (Solid Mechanics): **Introduction stress and strain: stress at a point, Cauchy stress tensor, analysis of deformation and definition of strain components, principal stresses and strains, stress and strain invariants, Mohr's circle representation, Shear force and bending moment diagrams, Axially loaded members, Torsion of circular shafts, Stresses due to bending: pure bending, transverse shear; Introduction to buckling of columns, Elastic stability: analysis of beam columns; Yield and Fracture criteria: Different failure theories; stress space and strain space; yield surfaces, additional causes of failure – creep, fatigue (cyclic loading); Introduction to plasticity.

**Part-II (Fluid Mechanics): **Basic concept of fluid properties and classification of fluids: statics of fluid, viscosity, surface tension, Newtonian and non-Newtonian fluids; Kinematics of fluid: concept of stress, rate of strain, streamlines, streak lines, path lines, stream function; Fluid motion and mathematical modelling: Reynolds' transport theorem, Navier-Stokes equation, Euler and Bernoulli equation; Dimensional analysis and dimensionless numbers; Boundary layer flow and flow in pipes & ducts, head loss and friction factor, Energy losses in fittings, valves etc., flow in multiple-pipe systems; Flow measuring devices and their industrial applications: pitot tube, venturi meter, orifice meter, rotameter etc.; Pumps; Flow through packed beds.

**Selected Readings**

- R.C. Hibbeler,
*Mechanics of Materials*, 8th Edition, Prentice Hall, 2011. - F.M. White,
*Fluid Mechanics*, 5th Ed., MacGraw Hill, 2005.

**:***Reference Books*- S.P. Timoshenko,
*Strength of Materials*, Vols. 1 & 2, CBS Publishers, 1986. - S.P. Timoshenko and J.N. Goodier,
*Theory of Elasticity*, McGraw Hill International, 2010. - H. Shames and J. M. Pitarresi,
*Introduction to Solid Mechanics*, Prentice Hall of India, 2003. - R.W. Fox, A.T. McDonald and P.J. Pritchard,
*Introduction to Fluid Mechanics*, 6th Ed., John Wiley, 2004 - W.L. McCabe, J. Smith and P. Harriot,
*Unit Operations of Chemical Engineering*, 6th Ed., McGraw - Hill, International Edition, 2001. - B.R. Bird, E.W. Stewart, and N.E. Lightfoot,
*Transport Phenomena*, John Wiley & Sons, 2nd Ed., 2003. - J.M. Coulson and J.F. Richardson,
*Chemical Engineering*, Vol-1: Fluid flow, Heat Transfer and Mass Transfer, Pergamon Press, 4th Ed., 1990.

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