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Unit - 10 Mechanics Of Solids
Unit 10
Mechanics of Solids
10.1 Concept of Stress at a Point
10.2 Plane Stress Transformation of Stresses at a Point Principal Stresses and Mohr’s Circle
10.3 Displacement Field
10.4 Concept of Strain at a Point
10.5 Plane Strain Transformation of Strain at a Point Principal Strains and Mohr’s Circle
10.6 Strain Roseoe
10.7 Discussion of Experimental Results on OneDimensional Material Behavior
10.8 Concepts of Elasticity Plasticity Strain Hardening Failure Fracture Yielding
10.9 Idealization of OneDimensional StressStrain Curve
10.10 Generalized Hooke’s Law with and without Thermal Strains for Isotropic Materials
10.11 Complete Equations of Elasticity
10.12 Force Analysis — Axial Force Shear Force Bending Moment and Twisting Moment Diagrams of Slender Members without using Singularity Functions
10.13 Torsion of Circular Shafts and ThinWalled Tubes
10.14 Moment Curvature Relationship for Pure Bending of Beams with symmetric crosssection
10.15 Bending Stress
10.16 Shear Stress
10.17 Cases of Combined Stresses
10.18 Concept of Strain Energy
10.19 Yield Criteria
10.20 Deflection due to bending
10.21 Integration of the MomentCurvature Relationship for Simple Boundary Conditions
10.22 Method of Superposition without using Singularity Functions
10.23 Strain Energy and Complementary Strain Energy for Simple Structural Elements I.E. those under Axial Load Shear Force Bending Moment and Torsion
10.24 Castigliano’s Theorems for Deflection Analysis and Indeterminate Problems
Unit - 7 Vector Mechanics Of Particles
Unit 7
Vector Mechanics of Particles
7.1 Transformation of Scalars and Vectors under Rotation Transformation
7.2 Forces in Nature
7.3 Newton’s Laws and its completeness in describing Particle Motion
7.4 Form Invariance of Newton’s Second Law
7.5 Solving Newton’s Equations of Motion in Polar Coordinates
7.6 Problems including Constraints and Friction
7.7 Extension to Cylindrical and Spherical Coordinates
7.8 Potential Energy Function
7.9 F Grad V Equipotential Surfaces and Meaning of Gradient
7.10 Conservative and NonConservative Forces Curl of A Force Field
7.11 Central Forces
7.12 Conservation of Angular Momentum
7.13 Energy Equation and Energy Diagrams
7.14 Elliptical Parabolic and Hyperbolic Orbits
7.15 Kepler Problem
7.16 Application Satellite Manoeuvres
7.17 NonInertial Frames of Reference
7.18 Rotating Coordinate System FiveTerm Acceleration Formula Centripetal and Coriolis Accelerations
7.19 Applications Weather Systems Foucault Pendulum
7.20 Harmonic Oscillator
7.21 Damped Harmonic Motion – OverDamped Critically Damped and LightlyDamped Oscillators
7.22 Forced Oscillations and Resonance
Unit - 8 Planar Rigid Body Mechanics
Unit 8
Planar Rigid Body Mechanics
8.1 Definition and Motion of a Rigid body in the Plane
8.2 Rotation in the Plane
8.3 Kinematics in a Coordinate System Rotating and Translating in the Plane
8.5 Euler’s Laws of Motion their independence from Newton’s Laws and their necessity in describing Rigid Body Motion
8.6 Examples
8.7 Introduction to ThreeDimensional Rigid Body Motion — only need to highlight the distinction from TwoDimensional Motion in terms of A Angular Velocity Vector and its rate of change and B Moment of Inertia Tensor
8.8 ThreeDimensional Motion of a Rigid Body wherein all points move in a Coplanar manner E.g. Rod executing Conical Motion with center of mass fixed — only need to show that this Motion looks TwoDimensional but is ThreeDimensional and TwoDimensional formulation fails
Unit - 9 Statics
Unit 9
Statics
9.1 Free Body Diagrams with examples on modelling of typical supports and joints
9.2 Conditions for Equilibrium in 3 dimensions and 2 dimensions
9.3 Friction Limiting and NonLimiting Cases
9.4 Force dispalcement relationship
9.5 Geometric compatibility for small deformations
9.6 Illustrations through simple problems on Axially Loaded Members like Trusses
Unit 1 - Wave Optics
1.1 Introduction to electromagnetic waves and electromagnetic spectrum
1.2 Interference in thin film uniform thickness with derivation
1.3 Interference in thin film wedge shape
1.4 Applications of Interference
1.5 Diffraction
1.6 Diffraction at a single slit
1.7 Diffraction grating
1.8 Rayleigh criterion.
1.9 Polarization
1.10 Double Refraction Malus Law
1.10 Applications
Unit 2 - Laser And Optic Fibre
2.1 Basics of laser and its mechanism
2.2 Semiconductor Laser
2.5 Types of Optical Fiber
2.6 Attenuation
2.7 Communication System
Unit 3 - Quantum Mechanics
3.1 De Broglies Hypothesis
3.2 Concept of Phase velocity and Group Velocity
3.3 Heisenberg uncertainty principle
3.4 Wave function and its physical significance
3.5 Schrodinger Equation
3.7 TUNNELING EFFECT
3.8 Introduction to quantum computing
Unit 4 - Semiconductor Physics
4.1 Free Electron Theory
4.2 Opening of band gap due to internal electron diffraction due to lattice Band theory of solids
4.3 Effective mass of electron
4.4 Fermi dirac distribution function
4.5 Conductivity of conductors and semiconductors
4.6 Fermi level in intrinsic semiconductor
4.7 Working of pn junction on the basis of energy band diagram
4.8 Ideal diode equation
4.9 Application of PN junction diode Solar cell
4.10 Hall effect
Unit 5 - Magnetism And Superconductivity
5.1 Origin of Magnetism
5.2 Classification of magnetism on the basis of permeability
5.3 Application of magnetic device
5.4 Superconductivity
5.5 Type I and Type II superconductors
5.6 Low and High Temperature super conductor
5.7 ACDC Josephson effect
5.8 SQUID
Unit 6 - Non Destructive Testing And Nanotechnology
6.1 NonDestructive Testing
6.2 Nanotechnology
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Other Subjects of first-year
English
Chemistry
Engineering graphics
Engineering mechanics
Engineering mathematics-ii
Engineering mathematics – i
Basic electrical engineering
Basic electronics engineering
Systems in mechanical engineering
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