### VMU AICEE (M.Tech) - Mechanical Engineering Exam Pattern

#### Exam Pattern

**Total Questions -**100**Total Marks -**300**Test Duration-**2 Hours**Marking System -**Three marks for each correct answer and negative mark (-1) for every wrong answer.

**NOTE****: **Sections 1 and 2 are common for all M.Tech Engineering specializations.

### Syllabus Summary

No. Of Subject | 4 |
---|---|

No. Of Unit | 23 |

No. Of Chapter | 120 |

- Stress and strain
- Poisson's ratio
- Mohr’s circle for plane stress and plane strain
- Thin cylinders
- Shear force and bending moment
- Torsion of circular shafts
- Euler’s theory of columns
- Energy methods
- Thermal stresses
- Strain Gauges and rosettes
- Testing of materials with universal testing machine
- Testing of hardness and impact strength

- Design for static and dynamic loading
- Failure theories
- Fatigue strength and the S-N diagram
- Rolling and sliding contact bearings, brakes and clutches

- Displacement, velocity and acceleration analysis
- Dynamic analysis of linkages
- Flywheels and governors
- Balancing of reciprocating and rotating masses
- Gyroscope

- Free and forced vibration
- Effect of damping
- Resonance
- Critical speeds of shafts

- Free-body diagrams and equilibrium
- Trusses and frames
- Virtual work
- Kinematics and dynamics of particles and of rigid bodies
- Impulse and momentum
- Energy formulations, Collisions

- Functions of single variable
- Limits, continuity and differentiability
- Mean value theorem
- Chain rule
- Partial Derivatives
- Maxima and Minima
- Gradient
- Divergence and curl
- Directional derivatives
- Integration
- Theorems Of Stokes
- Gauss And Green
- Fourier Series

- First order linear and nonlinear differential equations
- Higher Order Linear Odes
- Partial differential equations
- Numerical methods for linear and nonlinear algebraic equations
- Numerical integration and differentiation
- Laplace transforms

- Matrix Algebra
- Systems of Linear Equations
- Eigenvalues and Eigenvectors

- Numerical solutions of linear and non-linear algebraic equations
- Integration by trapezoidal and Simpson’s rule
- Single And Multi-Step Methods For Differential Equations

- Conditional probability
- Mean, median, mode and standard deviation
- Random Variables
- Definitions of probability
- Binomial, Poisson and normal distributions

- Taylor Series, Laurent Series
- Analytic functions
- Cauchy-Riemann equations
- Cauchy’s integral theorem and integral formula

- Thermodynamic systems and processes
- Properties of pure Substances
- Zeroth and first laws of Thermodynamics
- Second law of Thermodynamics
- Thermodynamic property charts and tables
- Thermodynamic relations

- Modes of heat transfer
- One dimensional heat conduction, resistance concept
- Unsteady heat conduction
- Heisler's charts
- Effect of turbulence
- Heat Exchanger performance
- LMTD and NTU method
- Stefan- Boltzmann law
- Wien's displacement law, black and grey surfaces

- Fluid properties
- Fluid statics, manometry, buoyancy
- Control-volume analysis
- Differential Equations of continuity and momentum
- Bernoulli’s equation
- Dimensional analysis
- Viscous flow of incompressible fluids
- Elementary turbulent flow

- Air and gas compressors
- I.C. Engines
- Refrigeration and air-conditioning
- Turbomachinery
- Pelton-wheel, Francis and Kaplan turbines

- Basic concepts of CAD/CAM
- Integration tools

- Deterministic model
- Safety stock inventory control systems

- Limits, fits and tolerances
- Linear and angular Measurements
- Interferometry
- Alignment and testing methods
- Tolerance analysis

- Forecasting models
- Aggregate production planning, scheduling

- Mechanics of machining
- Basic machine Tools
- Single and multi-point cutting tools
- Economics of machining
- Principles of non-traditional machining processes

- Different types of castings
- Solidification and cooling
- Plastic deformation and yield criteria
- Load estimation for bulk and sheet
- Principles of powder Metallurgy

- Structure and properties of engineering materials
- Phase Diagrams
- Stress-strain diagrams for engineering materials

- Linear programming, simplex method
- Network flow models
- Simple queuing models

#### How to prepare

**Preparation Strategy**

**Make a proper Time Table**

It is very important that you make a time table and stick to it and you will have an exact idea of what you are required to study and the time required for it.

**Concept clarity rather than rote learning**

It is essential that you have a clear idea of the formulas and concepts rather than rote learning of things for the papers. While you might require it for memorizing formulas it is important that for other stuff you make sure you clear your basis and concepts before moving on.

**Prepare Notes**

It is very important make small notes or a comprehensive list of formulas on each covered topic and chapter which will come in handy at the time of revision. This will require you to be regular with your work but will surely make things easy at the time of revision.

**Seek guidance**

It is not possible for you to know everything in your syllabus, at least not at the time of preparation. Sooner or later you will run into a concept or so which will give you trouble and then it is best you seek guidance from an instructor or a teacher. It is necessary that you clear your doubts at regular intervals and don’t prolong things for long. Getting into a good coaching class is nothing to be ashamed off and if anything a regular coaching class will enable you to avoid roadblocks in your preparation.

**Sample Papers**

Even though there may be a complete change in the exam pattern or the expected questions altogether,it is important that you practice on the sample and previous years question papers available for the engineering exam you’d be attempting. You will know the existing pattern and have a fair idea of the type of questions to expect in the paper along with the time constraint.

**Mock tests**

The paper pattern, duration of the paper and the number of questions to be attempted in the given amount of time is not something you will be able to pick up on the day of the examination. A Mock Test tests a student’s abilities as it not only provides a similar feel of real exams but also helps in building speed and confident to face the exam. Furthermore, they can improve their performance to get an extra edge in actual exams. Try to build up an Engineering Entrance Exam Test Prep MCQ Question Bank

**Time management**

Time management can be learnt through thorough practice and regular test taking. So it is important that you practice it and practice it well.

**Negative marking**

Most the entrance examinations will have negative marking and everyone would suggest you stay clear of questions are not sure about. But some experts are of the opinion that you answer the questions in which you are confused between an option or two because there will also be a chance of getting it right.

**Duration :**2 Hours

#### Important Instructions

- Fill in each column in your own handwriting.
- Place a tick mark ( ) wherever necessary. Strike off the portion(s) not applicable when alternatives are stated.
- Incomplete applications will be summarily rejected.
- Do not enclose any original certificates.
- Ensure all information furnished in the application are clear and correct, failing which the application/admission may be canceled.
**MERE ADMISSION TO THE ENTRANCE EXAMINATION DOES NOT CONFER ON THE CANDIDATE ANY RIGHT OF ADMISSION TO THE COURSE OF STUDY APPLIED FOR.**- Candidates should report at the examination hall, at least 30 minutes before the scheduled time of starting of the examination with Hall Ticket, pen, pencil and eraser.
- Hall Ticket should be produced at the time of entrance examination without fail.
- No candidate shall be allowed to write the entrance examination without the Hall Ticket. Those issued with provisional Hall Tickets must get them regularized as directed, before the examination. Candidates shall not carry any bits of paper or other incriminating materials, including calculators and mobile phones, inside the examination hall.
- No candidate will be allowed to go outside the examination hall till completion of the first one-hour duration.
- Candidates found misbehaving or using unfair means or resorting to impersonation, will have their candidature canceled and will be liable to be debarred from taking Entrance Examinations of this University any fur there.
- The OMR answer sheet of the candidate should be handed over to the Hall Superintendent along with the question booklet. If any candidate fails to do so, his/her candidature shall be canceled.
- University will not be responsible for any postal delay or loss in postal transit.