ESO202A

ESO202A

MECHANICS OF SOLIDS

ANNOUNCEMENTS

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COURSE DETAILS

Course No: ESO202A

Instructor: Basant Lal Sharma

Department: Mechanical Engineering

Units: 3L-1T-0P-0A (11 credits)

Schedule: LEC: MThF 10:00-10:50am L18, Tutorial: W 10:00-11:00am T104–110

Tutors:

O1 – T104 – S BASU (sbasu@iitk.ac.in ME)

O2 – T105 – SAHIL GARG (sahilg@iitk.ac.in CE)

O3 – T106 – S S GUPTA (ssgupta@iitk.ac.in ME)

O4 – T107 – VIVEK KHARE (vivekkh@iitk.ac.in AE)

O5 – T108 – LAKSHMI L (lakshmia@iitk.ac.in CE)

O6 – T109 – YENIKE S C MOULI (sharath@iitk.ac.in AE)

O7 – T110 – SUPARNO MUKHOPADHYAY (suparno@iitk.ac.in CE)

MY CONTACT

Email: bls at iitk.ac.in

Phone: 6173

MAIN BOOKS

(Textbook) Crandall, S.H., Dahl, N.C., and Lardner, T. J., An Introduction to the Mechanics of Solids, McGraw-Hill, Second Ed. with SI Units, 1978.

(Reference Book) Beer, F.P, Johnston, E.R. and DeWolf, J.T., Mechanics of Materials, Tata McGraw-Hill Edition 2004

(Reference Book) Meriam, J.L. and Kraige, L.G., Engineering Mechanics, Vol. 1: Statics, John Wiley, Second Ed. with SI Units, 1980.

(Reference Book) Popov, E.P., Engineering Mechanics of Solids, Prentice-Hall, First Ed., 1990

OTHER LINKS

BRIEF COURSE OUTLINE

Free body diagram with examples on modelling of typical supports and joints, Conditions for equilibrium in 3-D and 2-D, Friction: limiting and non-limiting cases; Force-displacement relationship and geometric compatibility (for small deformations) with illustrations through simple problems on axially loaded members and thin-walled pressure vessels; Concept of stress at a point, Plane stress case: transformation of stresses at a point, principal stresses and Mohr’s circle, Displacement field, Concept of strain at a point, Plane strain case: transformation of strain at a point, principal strains and Mohr’s circle, Strain Rosette; Discussion of experimental results on 1-D material behaviour, Concepts of elasticity, plasticity, strain-hardening, failure (fracture/yielding), Idealization of 1-D stress-strain curve, Generalized Hooke’s law (without and with thermal strains) for isotropic materials, Complete equations of elasticity; Force analysis (axial force, shear force, bending moment, and twisting moment diagrams) of slender members (singularity functions not to be used); Torsion of circular shafts and thin-walled tubes (plastic analysis and rectangular shafts not to be discussed); Moment curvature relationship for pure bending of beams with symmetric cross-section, bending stress, shear stress (Shear centre and plastic analysis not to be discussed); Cases of combined loads, Concept of strain energy, Yield criteria; Deflection due to bending, Integration of the moment-curvature relationship for simple boundary conditions, Method of superposition (singularity functions not to be used); Strain energy and complementary strain energy for simple structural elements (those under axial load, shear force, bending moment, and torsion), Castigliano’s theorems for deflection analysis and indeterminate problems; Concept of elastic instability, Introduction to column buckling, Euler’s formula (post-buckling behaviour not to be covered)

The conceptual heirarchy is

→ free body diagram & symbols for pertinent physical quantities → assumptions & statement of negligible effects

→ known vs unknowns

→ equilibrium & geometry & constitutive relations

→ solving for the pertinent unknowns.