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Engineering of Indian Institute of Technology IIT Roorkee

IIT Roorkee B.Tech Mechanical and Industrial Engineering syllabus

Course Title: Mechanics of Solids

1. Analysis of Stresses and Strains: Concept of stress, normal stress
and shear stress, nine Cartesian components of stress at a point, sign
convention and notation, equality of shear stresses on mutually
perpendicular planes and their planes of action, stress circle; Concept
of strain, normal and shear strain, two dimensional state of strain,
Poisson’s ratio, volumetric strain, strain circle.

2. Stress-Strain Relationships: Hooke’s law and its application to
isotropic materials, elastic constants and their relationships, plane
stress and plain strain conditions.

3. Mechanical Properties: Uniaxial tension test to determine yield and
ultimate strength of materials, stress-strain diagram, proof stress,
ductile and brittle materials, hardness and impact strength;
Conditions affecting mechanical behaviour of engineering materials.

4. Members in Uniaxial State of Stress: Uniform cross-section and
tapered bars subjected to uniaxial tension and compression,
composite bars and statically indeterminate bars, thermal stresses;
Introduction to plasticity concepts.

5. Members Subjected to Axi-symmetric Loads: Stresses and strains
in thin cylindrical shells and spheres under internal pressure, stresses
in thin rotating rings.

6. Members Subjected to Torsional Loads: Torsion of solid and
hollow circular shafts, stepped and composite shafts, close-coiled
helical springs subjected to axial loads.

7. Members Subjected to Flexural Loads: Statically determinate
beams, support reactions, relationship between load, shear force and
bending moment, shear force and bending moment diagrams; Theory
of flexure for initially straight beams, distribution of bending stresses
across the beam cross-section, principal stresses in beams; Equation of
elastic curve for the loaded beam, relationship between bending
moment, slope and deflection; Calculation of deflection by
integration, moment area and unit-load methods.

8. Members Subjected to Combined Loads: Short struts subjected to
eccentric loads, shafts subjected to combined bending, torsion and
axial thrust, concept of theory of failure.

9. Elastic Stability of Columns: Euler’s theory of initially straight
columns, critical loads for different end condition of columns,
eccentric loading, columns with small initial curvature, empirical
formulae.

Suggested Books

1. Timoshenko, S.P., and Gere, J.M., “Mechanics of Materials”, 2Nd Ed.,
CBS Publishers

2. Crandall, S.H., Dahl, N.C., and Lardner, T.J., “An Introduction to the
Mechanics of Solids”, 2nd Ed., McGraw-Hill

3. Hearn, E.J., “Mechanics of Materials”, 3rd Ed., Pergamon

4. Higdon, A., Ohlsen, E.H., Stiles, W.B., Weese, J.A., and Riley, W.F.,
“Mechanics of Materials”, John Wiley & Sons

5. Popov, E.P., Nagarajan, S., and Lu, Z. A., “Mechanics of Materials”, 2nd Ed., Prentice-Hall of India


IIT Roorkee B.Tech Mechanical and Industrial Engineering syllabus







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Indian Institute of Technology Roorkee
Roorkee - Haridwar Highway, Roorkee, Uttarakhand 247667

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