Note for Strength of Materials-2 - SM-2 By JNTU Heroes

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LECTURE NOTES ON STRENGTH OF MATERIALS II Department of CIVIL Engineering

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CONTENTS Chapter 1: Torsion of Circular Shafts 1. Theory of pure torsion – 2. Derivation of Torsion equations : T/J = q/r - N /L – 3. Assumptions made in the theory of pure torsion – 4. Torsional moment of resistance – 5. Polar section modulus – 6. Power transmitted by shafts – 7. Combined bending and torsion and end thrust - Design of shafts according to theories of failure. Springs: 1. Introduction - Types of springs – 2. deflection of close and open coiled helical springs under axial pull and axial couple – 3. springs in series and parallel – 4. Carriage or leaf springs. Chapter 2: Columns and Struts: Introduction – 1. Types of columns - Short, medium and long columns – 2. Axially loaded compression members – 3. Crushing load - Euler's theorem for long columns - assumptions - derivation of Euler's critical load formulae for various end conditions – 4. Equivalent length of a column - slenderness ratio – 5. Euler's critical stress - Limitations of Euler's theory - Rankine - Gordon formula - Long columns subjected to eccentric loading - Secant formula - Empirical formulae – 6. Straight line formula - Prof. Perry's formula. Beams Curved in Plan: 1. Introduction - circular beams loaded uniformly and supported on symmetrically place Columns –

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2. Semi-circular beam simply-supported on three equally spaced supports. Chapter 3: Beam Columns: 1. Laterally loaded struts - subjected to uniformly distributed and concentrated loads – 2. Maximum B.M. and stress due to transverse and lateral loading. Direct and Bending Stresses: 1. Stresses under the combined action of direct loading and bending moment, core of a section – 2. Determination of stresses in the case of chimneys, retaining walls and dams - conditions for stability stresses due to direct loading and bending moment about both axis. Chapter 4: Unsymmetrical Bending: 1. Introduction - Centroid principle axes of section – 2. Graphical method for locating principal axes - Moments of inertia referred to any set of rectangular axes – 3. Stresses in beams subject to unsymmetrical bending – 4. Principal axes - Resolution of bending moment into two rectangular axes through the centroid - Location of neutral axis – 5. Deflection of beams under unsymmetrical bending. Shear Centre: 1. Introduction - Shear center for symmetrical and unsymmetrical (channel, I, T and L) sections. Chapter 5: Thin Cylinders: 1. Thin seamless cylindrical shells – 2. Derivation of formula for longitudinal and circumferential stresses – 3. hoop, longitudinal and volumetric strains –

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4. changes in dia and volume of thin cylinders 5. Thin spherical shells. Thick Cylinders: 1. Introduction Lame's theory for thick cylinders – 2. Derivation of Lame's formulae – 3. distribution of hoop and radial stresses across thickness – 4. design of thick cylinders - compound cylinders – 5. Necessary difference of radii for shrinkage – 6. Thick spherical shells.