Mechanics of Solids (ME21203), Autumn 2022

Mechanical Engineering Department, Indian Institute of Technology Kharagpur

Instructors:

Dr Jeevanjyoti Chakraborty
Dr Archana Arbind

Policies and Guidelines:

All policies and guidelines regarding the structure of the course and assessment are laid out in detail in the Policies and Guidelines tab.

Outline of the course and learning resources

Topics	Tutorial Sheets
Review of the concepts of stress and strain (1 week) Class Notes Concept of stress Concept of strain Stress-strain relations (Generalized Hooke’s law)
Torsion (1 week) Class Notes Torsion of shafts with circular cross-section Angle of twist Statically indeterminate shafts Basics of transmission shaft design	TS1
Bending of beams (2 weeks) Class Notes-I Class Notes-II Shear and bending moment diagrams Relationship between load, shear, and bending moment Bending deformation Flexure formula Unsymmetric bending (may be dropped)	TS2A Soln TS2B
Shear in beams and thin-walled members (1 week) Class Notes Shear in straight beams Shear formula Shear flow in built-up members Shear centre in open thin-walled members (may be dropped)	TS3
Transformation of stress and strain (2 weeks) Class Notes-I Class Notes-II Plane stress transformation Principal stresses and maximum in-plane shear stress Mohr’s circle for plane stress Absolute maximum shear stress Plane strain transformation Mohr’s circle for plane strain (may be dropped) Absolute maximum shear strain Recap of material property relations Strain rosettes	TS4 TS5
Miscellaneous applications (1 or 2 weeks) Class Notes-I Class Notes-II Thin-walled pressure vessels Thick-walled pressure vessels (may be dropped) Principal stresses in a beam Stresses under combined loads	TS6 TS7
Deflection of beams (1 week) Class Notes Deformation under transverse loading Statically indeterminate beams Method of superposition	TS8
Buckling of columns (1 week) Class Notes Stability of columns Ideal column with pin supports Columns having various types of supports Centric load design (may be dropped)	TS9
Energy methods (1 week) Class Notes External work and strain energy Elastic strain energy for various types of loading Impact loading (may be dropped) Principle of virtual work Castigliano’s theorem: deflections; statically indeterminate structures	TS10

References

Mechanics of Materials by Beer, Johnston et al.
(preferably the latest edition, but any edition will do)

Intended Learning Outcomes

After completing this course, it is intended that students will:

Be able to describe and determine various kinds of deformations and stresses in engineering structures in a systematic, modern, mathematical way that can be utilized for computer-based design and analysis
Obtain the prerequisite knowledge for advanced courses in elasticity, advanced mechanics of solids, finite elements methods, composites, tribology that are necessary in both core jobs as well as in higher studies
Be able to read and understand research papers that will be directly helpful for B.Tech and Dual Degree Projects