Teaching Scheme (in Hours)
| Theory |
Tutorial |
Practical |
Total |
| 4 |
0 |
2 |
5 |
Subject Credit : 5
Examination Scheme (in Marks)
Theory
ESE (E)
|
Theory
PA (M)
|
Practical
ESE Viva (V)
|
Practical
PA (I)
|
Total
|
| 70 |
30 |
30 |
20 |
150 |
Syllabus Content
Unit-367: Introduction
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. Fundamental Principles of mechanics: Principle of transmissibility, Principle of superposition, Law of gravitation, Law of parallelogram of forces, Newton’s Laws of Motion
Unit-367: Fundamentals of Statics
Coplanar concurrent and non-concurrent force system:
Resultant, Equilibrant, 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 coplanarconcurrent 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, Application of these principles.
Concept of statically determinate and indeterminate problems.
Plane Truss
assumptions used in the analysis of Truss. Perfect, imperfect and redundant truss, analysis of Truss by method of joints and method of sections.
Unit-367: 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
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
Unit-367: 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.
Unit-367: Centroid and moment of inertia and mass moment of inertia
Centroid: Centroid of lines, plane areas and volumes, Examples
related to centroid of composite geometry, Pappus – Guldinus first
and second theorems.
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.
Unit-367: Torsion
Derivation of equation of torsion, Assumptions, application
of theory of torsion equation to solid & hollow circular shaft, torsional
rigidity
Unit-367: Simple stresses & strains
Basics of stress and strain: 3-D state of stress (Concept only)
Normal/axial stresses: Tensile & compressive
Tangential Stresses :Shear and complementary shear
Strains: Linear, shear, lateral, thermal and volumetric
Hooke’s law, Elastic Constants: Modulus of elasticity, Poisson’s ratio,
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, analysis of homogeneous prismatic bars under
multidirectional stresses
Unit-367: Principle stresses
Two dimensional system, stress at a point on a plane, principal stresses and principal planes, Mohr’s circle of stress, ellipse of stress and their applications.
Unit-367: Physical & Mechanical properties of materials: (laboratory hours)
Elastic, homogeneous, isotropic materials; Stress –Strain relationships
for ductile and brittle materials, limits of elasticity 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, Toughness, hardness, Ductility
,Brittleness
Unit-367: Simple Machines: (laboratory hours)
Basics of Machines, Definitions: Velocity ratio, mechanical advantage, efficiency, 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
