Syllabus

  1. Introduction to Engineering Mechanics: Particle equilibrium in 2-D & 3-D; Rigid Body equilibrium; System of Forces, Coplanar Concurrent Forces, Components in Space – Resultant- Moment of Forces and its Application; Couples and Resultant of Force System, Equilibrium of System of Forces, Free body diagrams, Equations of Equilibrium of Coplanar Systems and Spatial Systems; Static Indeterminacy

  2. Friction: Types of friction, Limiting friction, Laws of Friction, Static and Dynamic Friction; Motion of Bodies, wedge friction

  3. Basic Structural Analysis: Equilibrium conditions; Method of Sections; Method of Joints; How to determine if a member forces in a simple truss; Zero force members

  4. Centroid and Centre of Gravity: Centroid of simple figures from first principle, centroid of composite sections; Centre of Gravity and its implications; Area moment of inertia- Definition, Moment of inertia of plane sections from first principles, Theorems of moment of inertia, Moment of inertia of standard sections and composite sections; Mass moment inertia of circular plate, Cylinder, Cone, Sphere, Hook

  5. 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 diagrams for beams subjected to 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.

  6. Stresses in Beams: Flexural stresses – Theory of simple bending, Assumptions, derivation of equation of bending, neutral axis, determination of bending stresses, section modulus of rectangular & circular (solid & hollow), I, T, Angle, channel sections Shear stresses – Derivation of formula, shear stress distribution across various beam sections like rectangular, circular, triangular, I, T, angle sections

  7. Principal Stresses: Two dimensional system, stress at a point on a plane, principal stresses and principal planes, Mohr’s circle of stress

  8. Physical & Mechanical properties of materials: Elastic, plastic, brittle, ductile, homogeneous and isotropic materials; Behavior of material under axial and shear loads, Modulus of elasticity, limits of elasticity and proportionality, yield limit, ultimate strength, strain hardening. Basic definitions of stress: Linear, shear, bending, torsion, in-plane. Strains: Linear, shear, lateral, thermal and volumetric Poisson’s ratio, Bulk Modulus, modulus of rigidity, relationship between various elastic constants, properties related to Toughness, hardness, Ductility, Brittleness, Analysis of prismatic, tapered and composite sections under axial and thermal loads.