Other university all, Mechanical Engineering , Solid Mechanics Syllabus

202041 - Solid Mechanics

Credits 05

Unit I Simple stresses & strains
Simple Stress & Strain: Introduction to types of loads (Static, Dynamic & Impact Loading) and
various types of stresses with applications, Hooke’s law, Poisson’s ratio, Modulus of Elasticity,
Modulus of Rigidity, Bulk Modulus. Interrelation between elastic constants, Stress-strain diagram
for ductile and brittle materials, factor of safety, Stresses and strains in determinate and
indeterminate beam, homogeneous and composite bars under concentrated loads and self-weight,
Thermal stresses in plain and composite members

Unit II Shear Force & Bending Moment Diagrams
SFD & BMD: Introduction to SFD, BMD with application, SFD & BMD for statically determinate
beam due to concentrated load, uniformly distributed load, uniformly varying load, couple and
combined loading, Relationship between rate of loading, shear force and bending moment, Concept
of zero shear force, Maximum bending moment, point of contra-flexure

Unit III Stresses, Slope & Deflection on Beams 
Bending Stress on a Beam: Introduction to bending stress on a beam with application, Theory of
Simple bending, assumptions in pure bending, derivation of flexural formula, Moment of inertia of
common cross section (Circular, Hollow circular, Rectangular, I & T), Bending stress distribution
along the same cross-section
Shear Stress on a Beam: Introduction to transverse shear stress on a beam with application, shear
stress distribution diagram along the Circular, Hollow circular, Rectangular, I & T cross-section
Slope & Deflection on a Beam: Introduction to slope & deflection on a beam with application,
slope, deflection and Radius of Curvature, Macaulay’s Method, Slope and Deflection for all standard
beams

Unit IV Torsion, Buckling 
Torsion of circular shafts: Introduction to torsion on a shaft with application, Basic torsion
formulae and assumption in torsion theory, Torsion in stepped and composite shafts, Torque
transmission on strength and rigidity basis, Torsional Resilience
Torsion on Thin-Walled Tubes: Introduction of Torsion on Thin-Walled Tubes Shaft and its
application
Buckling of columns: Introduction to buckling of column with its application, Different column
conditions and critical, safe load determination by Euler’s theory. Limitations of Euler’s Theory

Unit V Principal Stresses, Theories of Failure 
Principal Stresses: Introduction to principal stresses with application, Transformation of Plane
Stress, Principal Stresses and planes (Analytical method and Mohr's Circle), Stresses due to
combined Normal and Shear stresses
Theories of Elastic failure: Introduction to theories of failure with application, Maximum principal
stress theory, Maximum shear stress theory, Maximum distortion energy theory, Maximum principal
strain theory, Maximum strain energy theory

Unit VI Application based combined loading & stresses
(Based on load and stress condition studied in Unit I to Unit V)
Introduction to the Combined Loading and various stresses with application, Free Body Diagram and
condition of Equilibrium for determining internal reaction forces, couples for 2-D system, Combined
stresses at any cross-section or at any particular point for Industrial and Real life example for the
following cases: Combined problem of Normal type of Stresses (Tensile, Compressive and Bending
stress), Combined problem of Shear type of stresses (Direct and Torsional Shear stresses), Combined
problem of Normal and Shear type of Stresses

Books & Other Resources

Text Books
1. R. K. Bansal, “Strength of Materials”, Laxmi Publication
2. S. Ramamurtham, “Strength of material”, Dhanpat Rai Publication
3. S.S. Rattan, “Strength of Material”, Tata McGraw Hill Publication Co. Ltd.
4. B.K. Sarkar, “Strength of Material”, McGraw Hill New Delhi
5. Singer and Pytel, “Strength of materials”, Harper and row Publication
6. R. C. Hibbeler, “Mechanics of Materials”, Prentice Hall Publication
Reference Books
1. Egor. P. Popov, “Introduction to Mechanics of Solids”,Prentice Hall Publication
2. G. H. Ryder, “Strength of Materials”, Macmillan Publication
3. Beer and Johnston, “Strength of materials”, CBS Publication
4. James M. Gere, “Mechanics of Materials”, CL Engineering
5. Timoshenko and Young, “Strength of Materials”, CBS Publication, Singapore
6. Prof. S.K. Bhattacharyya, IIT Kharagpur , “NPTEL Web course material”
https://drive.google.com/file/d/1N2Eyv9ofPimIT2OSMZeMrSxe68Ulclei/view?usp=sharing