Note for Mechanics of Solids - MOS By MOHAN KRISH

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Lectures notes On Mechanics of Solids Course Code- BME-203 Prepared by Prof. P. R. Dash

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SYLLABUS Module – I 1. Definition of stress, stress tensor, normal and shear stresses in axially loaded members. Stress & Strain :- Stress-strain relationship, Hooke’s law, Poisson’s ratio, shear stress, shear strain, modulus of rigidity. Relationship between material properties of isotropic materials. Stress-strain diagram for uniaxial loading of ductile and brittle materials. Introduction to mechanical properties of metals-hardness,impact. Composite Bars In Tension & Compression:-Temperature stresses in composite rods – statically indeterminate problem. (10) Module – II 2. Two Dimensional State of Stress and Strain: Principal stresses, principal strains and principal axes, calculation of principal stresses from principal strains.Stresses in thin cylinder and thin spherical shells under internal pressure , wire winding of thin cylinders. 3. Torsion of solid circular shafts, twisting moment, strength of solid and hollow circular shafts and strength of shafts in combined bending and twisting. (10) Module – III 4. Shear Force And Bending Moment Diagram: For simple beams, support reactions for statically determinant beams, relationship between bending moment and shear force, shear force and bending moment diagrams. 5. Pure bending theory of initially straight beams, distribution of normal and shear stress, beams of two materials. 6. Deflection of beams by integration method and area moment method. (12) Module – IV 7. Closed coiled helical springs. 8. Buckling of columns : Euler’s theory of initially straight columns with various end conditions, Eccentric loading of columns. Columns with initial curvature. 1 (8)

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Text Books-: 1. Strength of materials by G. H. Ryder, Mc Millan India Ltd., 2. Elements of Strength of Materials by S.P. Timoshenko and D.H. Young, East West Press Pvt. Ltd., Ref. Books:1. Introduction to solid mechanics by H. Shames, Prentice Hall India, New Delhi 2. Engineering mechanics of solid by E. P. Popov, Prentice Hall India, New Delhi 3. Engineering Physical Metallurgy, by Y. Lakhtin, MIR pub, Moscow. 2

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Contents Module Lecture No No Lecture 1 Title Introduction: Definition of stress, stress tensor, normal and shear stresses in axially loaded members. Lecture 2 Numerical problems on stress, shear stress in axially loaded members. Lecture 3 Stress & Strain :- Stress-strain relationship, Hooke’s law, Poisson’s ratio, shear stress, Lecture 4 Numerical problems on Stress-strain relationship, Hooke’s law, Poisson’s ratio, shear stress Lecture 5 Shear strain, modulus of rigidity, bulk modulus. Relationship between material properties of isotropic materials. Module 1 Lecture 6 Numerical problems on shear strain, modulus of rigidity Lecture 7 Stress-strain diagram for uniaxial loading of ductile and brittle materials. Lecture 8 Introduction to mechanical properties of metals- hardness, impact Lecture 9 Composite Bars In Tension & Compression:- Temperature stresses in composite rods statically indeterminate problem. Lecture 10 Numerical problems on composite bars and temperature stress. Lecture 1 Module 2 Two Dimensional State of Stress and Strain: Principal stresses. Numerical examples Lecture 2 .Numerical examples stresses. 3 on calculation of principal