Unit 1 Module 1

• Introduction Definition of space
• rigid body
• deformable body
• types of forces
• Characteristics of a force
• System of forces
• Composition and resolution of forces
• Fundamental Principles of mechanics: Principle of transmissibility
• Principle of superposition
• Law of gravitation
• Law of parallelogram of forces
• Newton’s Laws of Motion
• Fundamentals of Statics Coplanar concurrent and non-concurrent force system: Resultant
• Free body diagrams
• Coplanar concurrent forces: Resultant of coplanar concurrent force system by analytical and graphical method
• Law of triangle of forces
• Law of polygon of forces
• Equilibrium conditions for coplanar concurrent forces
• Lami’s theorem
• Application of these principles
• Coplanar non-concurrent forces: Moments & couples
• Characteristics of moment and couple
• Equivalent couples
• Force couple system
• Varignon’s theorem
• Resultant of non-concurrent forces by analytical method and graphical method
• Equilibrium conditions of coplanar non-concurrent force system
• Concept of statically determinate and indeterminate problems

Unit 2 Module 2

6 lecture hours

• Applications of fundamentals of statics Statically determinate beams: Types of loads
• Types of supports
• Types of beams
• Determination of support reactions
• Relationship between loading
• shear force & bending moment
• Bending moment and shear force 06 15 GUJARAT TECHNOLOGICAL UNIVERSITY Program Name: Bachelor of Engineering Level: UG Branch: Mining Engineering Course / Subject Code: BE03022021 Course / Subject Name: Mechanics of Solids w.e.f. 2024-25 http://syllabus.gtu.ac.in/ Page 3 of 8 diagrams for beams subjected to only three types of loads :i) concentrated loads ii) uniformly distributed loads iii) couples and their combinations
• Point of contraflexure
• point & magnitude of maximum bending moment
• maximum shear force Stresses in Beams: Flexural stresses – Theory of simple bending
• derivation of equation of bending
• neutral axis
• determination of bending stresses
• section modulus of rectangular & circular (solid & hollow)
• I Sections Shear stresses – Derivation of formula
• shear stress distribution across various beam sections like rectangular

Unit 3 Module 3

• Centroid and moment of inertia and mass moment of inertia Centroid: Centroid of lines
• areas and volumes
• Examples related to centroid of composite geometry
• Moment of inertia of planar cross-sections: Derivation of equation of moment of inertia of standard lamina using first principle
• Parallel & perpendicular axes theorems
• polar moment of inertia
• radius of gyration of areas
• section modulus
• Examples related to moment of inertia of composite geometry 08 20 6 Introduction to Torsion: Assumptions
• theory of torsion equation to solid & hollow circular shaft
• torsional rigidity 02 05

Unit 4 Module 4

8 lecture hours

• Simple stresses & strains Basicsofstressandstrain:3D state of stress(Concept only) Normal/axial stresses: Tensile & compressive Tangential Stresses: Shear and complementary shear Strains: Linear
• thermal and volumetric
• Hooke’s law, Elastic Constants: Modulus of elasticity
• Modulus of rigidity and bulk modulus and relations between them with derivation
• Application of normal stress & strains: Homogeneous and composite bars having uniform & stepped sections subjected to axial loads and thermal loads

Unit 5 Module 5

• Physical & Mechanical properties of materials: (laboratory hours) Physical & Mechanical properties of materials: (laboratory hours) Elastic
• isotropic materials
• Stress –Strain This portion to be covered in Theory Weightage shall be 0% GUJARAT TECHNOLOGICAL UNIVERSITY Program Name: Bachelor of Engineering Level: UG Branch: Mining Engineering Course / Subject Code: BE03022021 Course / Subject Name: Mechanics of Solids w.e.f. 2024-25 http://syllabus.gtu.ac.in/ Page 4 of 8 relationships for ductile and brittle materials
• limits of elasticity Laboratory and proportionality
• yield limit
• ultimate strength
• strain hardening
• proof stress
• factor of safety
• working stress
• load factor
• Properties related to axial
• bending, and torsional & shear loading
• Brittleness Simple Machines: (laboratory hours) Basics of Machines
• Definitions: Velocity ratio
• mechanical advantage
• reversibility of machines
• Law of Machines
• Application of law of machine to simple machines such as levers
• pulley and pulley blocks
• wheel and differential axle
• Single purchase
• double purchase crab
• screw jacks
• Relevant problems