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- Mechanics of Solids - MOS
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**Gandhi Institute of Engineering and Technology University - GIET**- Mechanical Engineering
- B.Tech
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PREPARED BY MR. S. S. PANDA 201 8 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. (8) 1

PREPARED BY MR. S. S. PANDA 201 8 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

PREPARED BY MR. S. S. PANDA 201 8 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 Module 1 materials. 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 metalshardness, 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 Two Dimensional State of Stress and Strain: Principal stresses. Numerical examples Module 2 Lecture 2 .Numerical examples on calculation of principal stresses. 3

PREPARED BY MR. S. S. PANDA 201 8 Lecture 3 Mohr’s circle method and numerical examples. Lecture 4 Principal strain calculation and numerical examples Lecture 5 Calculation of principal stresses from principal strains Lecture 6 Thin cylinder and thin spherical shells under internal pressure and numerical examples Lecture 7 Wire winding of thin cylinders. Numerical examples. Lecture 8 Torsion of solid circular shafts, twisting moment. Numerical examples Lecture 9 Strength of solid and hollow circular shafts. Numerical examples. Lecture 10 Strength of shafts in combined bending and twisting. Numerical examples. Lecture 1 Shear Force And Bending Moment Diagram: For simple beams, support reactions for statically determinant beams, relationship between bending moment and shear force. Lecture 2 Module 3 Calculation of SF and BM of cantilever beam, simply supported beam and shear force and bending moment diagrams Lecture 3 Calculation of SF and BM of overhanging beams. Point of contra flexure, maximum bending moment. Lecture 4 Numerical examples on calculation of SF and BM of overhanging beams Lecture 5 Pure bending theory of initially straight beams, Lecture 6 Numerical examples on pure bending Lecture 7 Distribution of normal and shear stresses in beams of two materials. Lecture 8 Numerical examples on calculation of normal and shear stresses in beams of two materials. Lecture 9 Deflection of beams by integration method Lecture 10 Numerical examples on deflection of beams by integration method 4

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