A. Objective of the Course: Objectives of introducing this subject at second year level in civil branches are: 1. Introduction 02

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1 Subject Code: 0CL030 Subject Name: Mechanics of Solids B.Tech. II Year (Sem-3) Mechanical & Automobile Engineering Teaching Credits Examination Marks Scheme Theory Marks Practical Marks Total L 4 T 0 P 2 C 5 ESE(E) 50 IA 30 CSE 20 Viva (V) 25 Term Work (TW) 25 Marks 50 A. Objective of the Course: Objectives of introducing this subject at second year level in civil branches are: B. Outline of the course: Sr No. Title of the unit Number of hours. Introduction 02 2 Fundamentals of Statics Applications of fundamentals of statics Friction Centroid and moment of inertia Simple stresses & strains 0 7. Stresses in Beams Torsion Principle stresses 04 Total hours (Theory): 56 Total hours (Lab):28 Total hours (Tutorial):00 Total hours: 84

2 C. Detailed Syllabus: Theory Course Content Sr. No Topic name Hours Introduction 2. Definition of space, time, particle, rigid body, deformable body. Force, types of forces, Characteristics of a force, System of forces, Composition and resolution of forces..2 Fundamental Principles of mechanics: Principle of transmissibility, Principle of superposition, Law of gravitation, Law of parallelogram of forces. 2 Fundamentals of Statics 8 2. Coplanar concurrent and non-concurrent force: Resultant, Equilibrant. 2.2 Coplanar concurrent and non-concurrent force: Free body diagrams. 2.3 Coplanar concurrent forces: Resultant of coplanar concurrent force system by analytical and graphical method 2.4 Coplanar concurrent forces: Law of triangle of forces, Law of polygon of forces 2.5 Coplanar concurrent forces: Equilibrium conditions for coplanar concurrent forces, Lami s theorem. Application of these principles. 2.6 Coplanar non-concurrent forces: Moments & couples, Characteristics of moment and couple, Equivalent couples, Force couple system 2.7 Coplanar non-concurrent forces: Varignon s theorem, Resultant of non-concurrent forces by analytical method and graphical method 2.8 Coplanar non-concurrent forces: Equilibrium conditions of coplanar non-concurrent force system, Application of these principles 3 Applications of fundamentals of statics 8 3. Types of loads, Types of supports, Types of beams 3.2 Types of beams 3.3 Determination of support reactions 3.4 Relationship between loading, shear force & bending moment 3.5 Bending moment and shear force diagrams for beams subjected to only three types of loads : i) concentrated loads 3.6 Bending moment and shear force diagrams for beams subjected to only three types of loads : ii) uniformly distributed loads 3.7 Bending moment and shear force diagrams for beams subjected to only three types of loads : iii) couples and their combinations 3.8 Point of contra flexure, point & magnitude of maximum bending moment, maximum shear force 4 Friction 6 4. Theory of friction, Types of friction 4.2 Static and kinetic friction, Cone of friction

3 4.3 Angle of repose, Coefficient of friction, Laws of friction 4.4 Application of theory of friction: Friction on inclined plane 4.5 Application of theory of friction: ladder friction 4.6 Application of theory of friction: wedge friction, belt and rope friction. 5 Centroid and moment of inertia 8 5. Centroid: Centroid of lines, plane areas and volumes 5.2 Centroid: Examples related to centroid of composite geometry 5.3 Centroid: Pappus Guldinus first and second theorems. 5.4 Moment of inertia of planar cross-sections: Derivation of equation of moment of inertia of standard lamina using first principle 5.5 Moment of inertia of planar cross-sections: Parallel & perpendicular axes theorems 5.6 Moment of inertia of planar cross-sections: Polar moment of inertia 5.7 Moment of inertia of planar cross-sections: Radius of gyration of areas 5.8 Moment of inertia of planar cross-sections: Examples related to moment of inertia of composite geometry 6 Simple stresses & strains 0 6. Basics of stress and strain: 3-D state of stress 6.2 Normal/axial stresses: Tensile & compressive 6.3 Stresses :Shear and complementary shear 6.4 Strains: Linear, shear, lateral, thermal and volumetric 6.5 Hooke s law 6.6 Elastic Constants: Modulus of elasticity, Poisson s ratio 6.7 Modulus of rigidity and bulk modulus and relations between them with derivation 6.8 Application of normal stress & strains: Homogeneous and composite bars having uniform & stepped sections subjected to axial loads and thermal loads 6.9 Application of normal stress & strains: Homogeneous and composite bars having uniform & stepped sections subjected to axial loads and thermal loads 6.0 Analysis of homogeneous prismatic bars under multidirectional stresses 7 Stresses in Beams 6 7. Flexural stresses Theory of simple bending, Assumptions, derivation of equation of bending, neutral axis, determination of bending stresses 7.2 Flexural stresses Section modulus of rectangular & circular (solid & hollow), I,T,Angle, channel sections 7.3 Flexural stresses Section modulus of rectangular & circular (solid & hollow), I,T,Angle, channel sections 7.4 Shear stresses Derivation of formula 7.5 Shear stresses Shear stress distribution across various beam sections like rectangular, circular angle sections

4 7.6 Shear stresses Shear stress distribution across various beam sections like triangular, I, T, angle sections 8 Torsion Derivation of equation of torsion 8.2 Assumptions 8.3 Application of theory of torsion equation to solid & hollow circular shaft, torsional rigidity 8.4 Application of theory of torsion equation to solid & hollow circular shaft, torsional rigidity 9 Principle stresses Two dimensional system 9.2 Stress at a point on a plane 9.3 Principal stresses and principal planes 9.4 Mohr s circle of stress, ellipse of stress and their applications Total 56 Laboratory Course Content Sr. No Topic name Hours Equilibrium of coplanar concurrent forces 3 2 Equilibrium of coplanar non-concurrent forces 3 3 Equilibrium of coplanar parallel forces: Determination of reactions of simply supported beam 3 4 Verification of principle of moment: Bell crank lever 2 5 Determination of member force in a triangular truss 2 6 Determination of coefficient of static friction using inclined plane 3 7 Determination of parameters of machines (Any two) 2. Wheel and differential axles 2. Single purchase crab 3. Double purchase crab 4. System of pulleys 8 Determination of hardness of metals: Brinell /Vicker/Rockwell hardness test 2 9 Determination of impact of metals: Izod/Charpy impact test 2 0 Determination of compression test on 2. Metals mild steel and cast iron 2. Timber along and parallel to the grains Determination of tensile strength of metals 2 2 Determination of shear strength of metals 2 Total 28

5 D. Instructional Method and Pedagogy:. For a real industrial building having roof truss arrangement, (a) take photograph & identify type of truss, (b) draw sketch of truss with all geometrical dimension, cross sections details, type of joints, type of support conditions (c) prepare a model of truss (d) identify & determine types of load acts on it (d) determine support reactions & member forces due to dead load & live load only. 2. Take a case of the Mery-Go-Round used in the fun park. Draw its sketch showing radius of wheel, no of seats, capacity of each seats and other related information. Determine the amount of resultant produced at the centre of wheel during rest position, when (i) it is fully loaded (2) it is 30% loaded with symmetric arrangement. Draw support arrangement and determine support reactions. Also determine amount of torque required to start its operation. 3. Prepare working models for various types of beams with different shape of cross section, supporting conditions and study the effect of cross section on the deflection of beams. 4. Prepare working model of simple lifting machine using different types of pulley systems and calculate various parameters like load factor, velocity ratio, law of machine, efficiency of machine etc. E. Students learning outcomes: After studying this subject students will be able to: Apply fundamental principles of mechanics & principles of equilibrium to simple and practical problems of engineering. Apply principles of statics to determine reactions & internal forces in statically determinate beams. Determine centroid and moment of inertia of a different geometrical shape and able to understand its importance. Know basics of friction and its importance through simple applications. Understand the different types of stresses and strains developed in the member subjected to axial, bending, shear torsion & thermal loads. Know behaviour & properties of engineering materials. Know basics of simple machines and their working mechanism. F. Recommended Study Material: Text Books:. Applied Mechanics S. B. Junarkar & H. J. Shah-Charotar Publication 2. Engineering Mechanics : Bhogayata, Shah, Vora & Dhankot- Tata McGraw hills Reference Books:. Engineering Mechanics by G. S. Sawhney; PHI New Delhi 2. Mechanics of Materials: Beer and Johnston, TMH

6 3. Mechanics of Materials: Gere & Timoshenko; CBS Publishers & Distributors, Delhi 4. Mechanics of Materials: Hibbler R C; Pearson Education 5. Strength of materials; Ramamutthram 6. Engineering Mechanics of Solids: Popov E.P; Prentice Hall of India, New Delhi