Course Name : Mechanics of solids - I

Detailed Syllabus:

SIMPLE STRESSES AND STRAINS : Elasticity and plasticity - Types of stresses and strains - Hooke's law - stress - strain diagram for mild steel - Working stress - Factor of safety - Lateral strain, Poisson's ratio and volumetric strain - Elastic moduli and the relationship between them - Bars of varying section - composite bars - Temperature stresses.
STRAIN ENERGY - Resilience - Gradual, sudden, impact and shock loadings - simple applications.
SHEAR FORCE AND BENDING MOMENT : Definition of beam - Types of beams - Concept of shear force and bending moment - S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, u.d. load., uniformly varying loads and combination of these loads - Point of contraflexure Relation between S.F., B.M and rate of loading at a section of a beam.
FLEXURAL STRESSES : Theory of simple bending - Assumptions - Derivation of bending equation: M/I = f/y = E/R Neutral axis - Determination bending stresses - section modulus of rectangular and circular sections (Solid and Hollow), I,T, Angle and Channel sections - Design of simple beam sections.
SHEAR STRESSES : Derivation of formula - Shear stress distribution across various beam sections like rectangular, circular, triangular, I, T angle sections.
DEFLECTION OF BEAMS : Bending into a circular arc - slope, deflection and radius of curvature - Differential equation for the elastic line of a beam - Double integration and Macaulay's methods - Determination of slope and deflection for cantilever and simply supported beams subjected to point loads, - U.D.L. Uniformly varying load.-Mohr's theorems - Moment area method - application to simple cases including overhanging beams.
THIN CYLINDERS : Thin seamless cylindrical shells - Derivation of formula for longitudinal and circumferential stresses - hoop, longitudinal and Volumetric strains - changes in dia, and volume of thin cylinders - Thin spherical shells.
THICK CYLINDERS : Introduction Lame's theory for thick cylinders - Derivation of Lame's formulae - distribution of hoop and radial stresses across thickness - design of thick cylinders - compound cylinders - Necessary difference of radii for shrinkage - Thick spherical shells.

TEXT BOOKS:

1. Introduction to text book of Strength of materials by R.K. Bansal - Laxmi publications Pvt. Ltd., New Delhi.
2. Introduction to text book of Strength of Material by U.C. Jindal, Galgotia publications.
3. Strength of materials by R. Subramanian, Oxford university press, New Delhi
4. Mechanics of Solid, by Ferdinand Beer and others - Tata McGraw-Hill Publications 2000.
5. Strength of Materials by Schaum's out line series - McGraw-Hill International Editions.
6. Strength of Materials by S. Ramakrishna and R. Narayan - Dhanpat Rai publications.
7. Strength of materials by R.K. Rajput, S.Chand & Co, New Delhi.
8. Strength of Materials by A.R. Basu, Dhanpat Rai & Co, Nai Sarah, New Delhi.
9. Strength of Materials by L.S. Srinath et al., Macmillan India Ltd., Delhi.
10. Strength of Materials by Bhavikatti.