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FD5 :
MECHANICS
1
INTRODUCTION
Introduction to
Mechanics, Definitions, Idealisation in Mechanics, Basic Concepts,
Fundamentals Principles, System of Units, Dimensional Analysis,
Methods of Solution, Vector Algebra, Summary.
2
STATICS OF PARTICLES
CONCURRENT FORCES IN PLANE
Introduction,
Resultant of Forces, Resolution and Components of Force, Resultant
of Several Concurrent Forces, Equilibrium of a Partical, Equation of
Equilibrium, Application of Statics of Particles, Summary.
3
STATICS OF PARTICLES
CONCURRENT FORCES IN SPACE
Introduction,
Components of Forces in Space, Resultant of Several Concurrent
Forces, Equilibrium of a Particle in Space, Application of Statics
of Particle, Summary.
4
STATICS OF RIGID
BODIES - NON – CONCURRENT FORCES IN PLANE
Introduction,
Moment of Force about a Point, Varignon’s Theorem, Moment of Couple,
Resolution of a Given Force into a Force, Resultant of Coplanar
Non-Concurrent System, Application of Statics of Rigid Bodies,
Method of Minimum Potential Energy- Stable Equilibrium, Summary.
5
STATICS OF RIGID
BODIES-NON-CONCURRENT FORCES IN SPACE
Introduction,
Moment of Force about a Point, Moment of Force about a Given Axis,
Couples in Space, Resolution of Force into Force and Couple,
Resultant of Non-concurrent, Non-coplanar System, Equilibrium of
Rigid Body in Three Dimensions, Summary.
6
FRICTION
Introduction,
Characteristics of Dry Friction, Laws of Friction, Angle of
Friction, Angle of Repose, Cone of Friction, Applications, Summary.
7
CENTROID AND CENTRE OF
GRAVITY
Introduction,
Centroid of Area, Line and Volume, Centroid of a Line, Centroid of
Area, Centroid of Composite Area, Therorems of Pappus and Guldinus,
Centroid of Volume, Centre of Gravity, Centre of Mass, Summary.
8
MOMENT OF INTERIA AND
MASS MOMENT OF INTERIA
Introduction,
Second Moment of Area, Moment of Inertia of Plane Area by
Integration, Moment of Inertia of Composite Section, Principle Axes
and Principle Moments of Inertia of a Thin Rectangular Plate, Mass
Moment of Inertia, Summary.
9
SIMPLE STRESSES AND
STRAINS SSS-1
General
Meaning of Stress , Unit of Stress, Simple Stresses, Strain, Stress
Strain Relation, Nominal Stress and True Stress, Behaviour of
Materials Under Repeated Loadings, Factor of Safety, Hooke’s Law,
Extension/Shortening of a bar, Bars With Cross-Sections Varying in
Steps, Bars With Continuously Varying Cross-Sections, Bars Subjected
to Varying Loads, Indeterminate Structural Problems, Compounds Bars,
Temperature Stresses, Simple Shear, Poisson’s Ratio, Volumetric
Strain, Elastic constant, Relationship between Modulus of Elasticity
and Modulus of Rigidity, Relationship between Modulus of Elasticity
and Bulk Modulus, Strain Energy due to Direct Stresses and Impact
Loads, Strain Energy due to Share Stresses.
10
SHEAR FORCE AND
BENDING MOMENT DIAGRAMS IN STATICALLY DETERMINATE BEAMS SFB-1
Shear Force
and Bending Moment, Sign Convention, Relationship between Load
Intensity, Shear Force and Bending Moment Diagrams, SF and BMD For
Standard Cases, FD and BMD for Beams Subjected to Various Loads,
Short Cut Procedure.
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