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UNIT – III Evaluation of Integrals: Types of real integrals: (a) Improper real integrals f x dx( )   (b) c 2 (cos ,sin ) c  f   d  Bilinear transformation- fixed point- cross ratio- properties- invariance of circles

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Academic year: 2023

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Course outcomes: After learning the content of this paper, the student should be able to. Students will be able to understand basic concepts of stress, strain and their relationships based on linear elasticity. Students will be able to understand and know how to calculate stresses and deformation of a bar due to an axial load under uniform and non-uniform conditions.

Simple Stresses and Strains: Elasticity and Plasticity – Types of Stresses and Strains – Hooke's Law – Stress – Strain Diagram for Mild Steel – Working Stress – Factor of Safety – Lateral Strain, Poisson's Ratio and Volumetric Strain – Elastic Moduli and Their Relationship – Bars of Different Sections – Composite bars – Temperature stresses. Shear Force and Bending Moment : Definition of beam – Types of beams – Concept of shear force and bending moment – ​​S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, u.d.l., uniformly varying loads and combination of these loads – Point of opposite of bending - the ratio between S.F., B.M and the level of load on the section of the beam. Course objective: Understand the treatment of classical thermodynamics and apply the first and second laws of thermodynamics in engineering applications.

Course outcomes: At the end of the course, the student should be able to understand and distinguish between different thermodynamic systems and processes. Understand and apply the laws of thermodynamics to different types of systems undergoing different processes and perform thermodynamic analysis. Introduction: Basic Concepts: System, Control Volume, Surroundings, Boundaries, Universe, System Types, Macroscopic and Microscopic Views, Continuum Concept, Thermodynamic Equilibrium, State, Property, Process, Exact & Imprecise Differentials, Cycle – Reversibility – Quasi – static Process, irreversible process, causes to irreversibility – energy in state and in transition, types, displacement and other forms of work, heat, point and path functions, the zeroth law of thermodynamics – the concept of temperature – principles of thermometry – reference points – const.

First Law Limits - Thermal Reservoir, Heat Engine, Heat Pump, Performance Parameters, Second Law of Thermodynamics, Kelvin-Planck and Clausius Statements and their Equivalence / Consequences, PMM of the Second Kind, Carnot's Principle , Carnot cycle and its specialties, Thermodynamic scale of temperature, Clausius inequality, Entropy, Principle of Increase of Entropy – Energy Equation, Availability and Reversibility – Thermodynamic Potentials, Gibbs and Helmholtz Functions, Maxwell Relations – Elementary Treatment of the Third Law of Thermodynamics.

Students will be sensitized to the basic dimensions of the biological, sociological, psychological and legal aspects of gender. Inviscous incompressible flows: large Reynolds number flows, Prandtl's boundary layer hypothesis, viscous boundary layer flow, and invisible external flow. Kelvin's Circulation Theorem and Takeoff Vortex, Concept of Small Perturbations and Thin Airfoil Theory - Linearization of the Boundary Condition, Solution of Thin Airfoil Problem in Lifting and Non-Lifting Cases, Their Solutions by Singularity Distribution, The Center of Aerodynamics, Center of Pressure, Representation of the load.

Effect of transition and surface roughness on airfoils, N – S equation, Boundary layer approximation, Blasius solution to the flat plate problem. Applied Aerodynamics and Introduction to Propellers: Critical Mach Number and Drag Divergence, Drag Reduction and Lift Augmentation – Swept, Wings, Flaps, Slats and Vortex Generators. Introduction to Theory of Elasticity: Equilibrium and Compatibility Conditions for elastic solids, 2D elasticity equations for plane stress, plane strain and generalized plane strain cases Airy's stress function.

Redundant Structures: Indeterminate Structures and Order of Redundancy, Introduction to Redundant Analysis, - Clapeyrons Method, Method of Moment Distribution Use of free body diagrams to explain compatibility and principles of redundant analysis. Principles of virtual displacement and principle of virtual force Castigliano's theorem, Maxwell's reciprocal theorem and unit charge method. Displacement method (Rayleigh Ritz method). Introduction to Aircraft Performance: Design role and mission of an aircraft, Specification of performance requirements and mission profile, Importance of performance analysis, evaluation, measurements, operational safety and economy, planned performance and operational performance of the aircraft, atmosphere standards, Non-standard and design atmospheres, Air data measurements, Air data computers.

Basic Aerodynamic and Propulsion Characteristics: Source of Aerodynamic Forces, Aerodynamic Lift, Drag and Moment, Aerodynamic Coefficients, Variation of Lift, Drag, Moment Coefficient, Aerodynamic Center, Lift and Drag Build-Up to Final Wing, Wing Body Combinations, Drag, Drag Polar, Lateral force, Drag reduction methods, Aerodynamic conditions of a parabolic drag pole, Thrust and efficiency, Engine types, Reciprocating engines, Turbojet engines, Turbofan, Turboprop, Variation of power, pressure, specific fuel consumption with speed and altitude, Afterburn. Aircraft Performance-Steady Flight: Equations of Motion for Level Flight, Thrust Required - Graphical and Analytical Approach, Basic Parameters - Thrust to Weight Ratio, Wing Load, Lift to Drag Ratio, Thrust Available, Maximum Speed ​​of the Airplane, Power Required, Power Available and maximum speed, drag-divergence mach number, effect of drag-divergence on maximum speed, minimum speed, stall and high-lift units. Introduction to control systems and modeling of dynamic systems: Examples of control systems, closed loop control versus open loop control; Transfer function and impulse response function, automatic control systems, state space modeling, state space representation of dynamic systems, mechanical systems, electrical and electronic systems, signal flow graphs, linearization of non-linear mathematical models.

Course objective: To learn the basic types of business, the impact of the economy on business and firms in particular. Course Outcome: Students will understand the different forms of business and the impact of economic variables on business. Business: Structure of the business firm, Theory of the firm, Types of business entities, limited liability companies, sources of capital for a company, non-conventional sources of financing.

Elasticity of Demand: Elasticity, Types of Elasticity, Law of Demand, Measurement and Meaning of Elasticity of Demand, Factors Affecting Elasticity of Demand, Elasticity of Demand in Decision Making, Demand Forecasting: Characteristics of Good Demand Forecasting, Steps in Demand Forecasting, Methods of Demand Forecasting. Production Analysis: Factors of Production, Production Function, Production Function with One Variable Input, Two Variable Inputs, Returns to Scale, Different Types of Production Functions. Pricing: Types of pricing, product life cycle pricing, break even analysis and cost volume profit analysis.

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