Subject Code:53003 L:3 T/P/D:1 Credits:3 Int. Marks:25 Ext. Marks:75 Total Marks:100
UNIT I: 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.
UNIT II: 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 cantilver, simply supported and overhanging beams subjected to point loads, u.d.l., 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.
UNIT III: 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.
UNIT IV: SHEAR STRESSES :
Derivation of formula � Shear stress distribution across various beam sections like rectangular, circular, triangular, I, T angle sections.
UNIT V: 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.
UNIT VI: PRINCIPAL STRESSES AND STRAINS :
Introduction: Stresses on an inclined section of a Bar under axial loading �compound stresses- normal and tangential stresses on an inclined plane for biaxial stresses. Two perpendicular normal stresses accompanied by a state of simple shear � Mohr�s circle o stresses- Principle stresses and strains- analytical and graphical solutions- various theories of failures like maximum principle stress theory � maximum principle strain theory � max. shear stress theory � max. strain energy theory- max . shear strain energy theory.
UNIT VII: 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.
UNIT VIII: 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
REFERENCE BOOKS:
1. Mechanics of Solid, by Ferdinandp Beer and others � Tata Mc.Grawhill Publications 2000.
2. Strength of Materials by Schaum�s out line series � Mc. Grawhill International Editions.
3. Strength of Materials by S. Ramakrishna and R.Narayan � Dhanpat Rai publications.
4. Strength of materials by R.K.Rajput, S.Chand & Co, New Delhi.