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Syllabus:-
| Sr. No. | Name of Topic | Teaching Hours |
|---|---|---|
| 1 | 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 |
02 |
| 2 | 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 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, 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. |
12 |
| 3 | 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 |
08 |
| 4 | 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 |
0 |
| 5 | 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 |
08 |
| 6 | Torsion: Derivation of equation of torsion, Assumptions, application of theory of torsion equation to solid & hollow circular shaft, torsional rigidity |
06 |
| 7 | 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 |
10 |
| 8 | 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 |
04 |
| 9 | 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 |
This portion to be covered in Laboratory |
| 10 | 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 |
This portion to be covered in Laboratory |
Suggested Specification table with Marks (Theory):
| Distribution of Theory Marks |
| R Level | U Level | A Level | N Level | E Level | C Level |
|---|---|---|---|---|---|
| 10% | 20% | 30 | 20 | 10% | 10% |
Legends: R: Remembrance; U: Understanding; A: Application, N: Analyze and E: Evaluate C:
Create and above Levels (Revised Bloom’s Taxonomy)
Course Outcome:
| Sr. No. | CO statement | Marks % weightage |
|---|---|---|
| CO-1 | Apply fundamental principles of mechanics, equilibrium and statics to practical problems of engineering. | 25 |
| CO-2 | and its use in engineering problem. | 10 |
| CO-3 | Determine different types of stresses and strains developed in the member subjected to axial, bending, shear, torsion & thermal loads | 25 |
| CO-4 | Determine principal stresses and strains for two dimensional system using analytical and graphical methods. | 10 |
| CO-5 | Differentiate behaviour and properties of different engineering materials. | 20 |
| CO-6 | Apply the basics of simple machines and their working mechanism | 1 |
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Engineering science is usually subdivided into number of topics such as
1. Solid Mechanics
2. Fluid Mechanics
3. Heat Transfer
4. Properties of materials and soon Although there are close links between them in terms of the
physical principles involved and methods of analysis employed.
The solid mechanics as a subject may be defined as a branch of applied mechanics that deals with
behaviours of solid bodies subjected to various types of loadings. This is usually subdivided into
further two streams i.e Mechanics of rigid bodies or simply Mechanics and Mechanics of deformable
solids.
The mechanics of deformable solids which is branch of applied mechanics is known by several names
i.e. strength of materials, mechanics of materials etc.
Mechanics of rigid bodies:
The mechanics of rigid bodies is primarily concerned with the static and dynamic behaviour under
external forces of engineering components and systems which are treated as infinitely strong and
undeformable Primarily we deal here with the forces and motions associated with particles and rigid
bodies.
Mechanics of deformable solids :
Mechanics of solids:
The mechanics of deformable solids is more concerned with the internal forces and associated
changes in the geometry of the components involved. Of particular importance are the properties of
the materials used, the strength of which will determine whether the components fail by breaking in
service, and the stiffness of which will determine whether the amount of deformation they suffer is
acceptable. Therefore, the subject of mechanics of materials or strength of materials is central to the
whole activity of engineering design. Usually the objectives in analysis here will be the determination
of the stresses, strains, and deflections produced by loads. Theoretical analyses and experimental
results have an equal roles in this field.
Analysis of stress and strain :
Concept of stress : Let us introduce the concept of stress as we know that the main problem of
engineering mechanics of material is the investigation of the internal resistance of the body, i.e. the
nature of forces set up within a body to balance the effect of the externally applied forces.
The externally applied forces are termed as loads. These externally applied forces may be due to any
one of the reason
(i) due to service conditions
(ii) due to environment in which the component works
(iii) through contact with other members
(iv) due to fluid pressures
(v) due to gravity or inertia forces.
As we know that in mechanics of deformable solids, externally applied forces acts on a body and
body suffers a deformation. From equilibrium point of view, this action should be opposed or reacted
by internal forces which are set up within the particles of material due to cohesion.
These internal forces give rise to a concept of stress.
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