III 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 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. – IV Columns and struts Introduction Types of columns Short, medium and long columns Axially loaded – – – compression members Crushing load– Euler’s theorem for long columns- assumptions- – derivation of Euler’s critical load formulae for various end conditions length of a –Equivalent column slenderness ratio Euler’s critical stress Limitations of Euler’s theory Rankine – – – – – Gordon formula Long columns subjected to eccentric loading Secant formula Empirical – – – formulae Straight line formula Prof. Perry’s formula-Laterally loaded struts subjected to – – – uniformly distributed and concentrated loads- Maximum bending moment and stresses due to tranverse lateral loading V Direct and bending stresses Stresses under combined action of direct loading and B.M, Core of a section- Determination of stresses incase of chimneys, Retaining walls and dams- Conditions for stability-stresses due direct loading and B.M about both axis. Text Books: 1. A Text book of Strength of materials by R.K.Bansal Publications (P) ltd., –Laxmi 2. Introduction to Strength of Materials by U.C. Jindal, Galgotia publications. 3. Strength of Materials by B.C. Punmia 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. Graw hill 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, .
III 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 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. IV Columns and struts Introduction – Types of columns – Short, medium and long columns – Axially loaded compression members – Crushing load– Euler’s theorem for long columns- assumptions- derivation of Euler’s critical load formulae for various end conditions –Equivalent length of a column – slenderness ratio – Euler’s critical stress – Limitations of Euler’s theory – Rankine – Gordon formula – Long columns subjected to eccentric loading – Secant formula – Empirical formulae – Straight line formula – Prof. Perry’s formula-Laterally loaded struts – subjected to uniformly distributed and concentrated loads- Maximum bending moment and stresses due to tranverse lateral loading V Direct and bending stresses Stresses under combined action of direct loading and B.M, Core of a section- Determination of stresses incase of chimneys, Retaining walls and dams- Conditions for stability-stresses due direct loading and B.M about both axis. Text Books: 1. A Text book of Strength of materials by R.K.Bansal –Laxmi Publications (P) ltd., 2. Introduction to Strength of Materials by U.C. Jindal, Galgotia publications. 3. Strength of Materials by B.C. Punmia 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. Graw hill 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, .