## Engineering Mechanics CE 101 | IOE Syllabus 2080

**Lecture : 4****Tutorial : 2****Practical** **:** ** 0**

**Course Objectives:**

This course helps to analyze the effect of various types of Forces on the particle and rigid body at rest and motion. It also provides concept and knowledge of Engineering Application and helps to understand Structural Engineering in later courses by using basics of Mechanics in their branch of engineering.

**1. Basic Concept of Mechanics and Static Equilibrium (5 hours)**

1.1 Definitions, Type and Scope of Mechanics

1.2 Fundamental Concepts and Principles of Engineering Mechanics

1.3 Concept of Particle, Rigid and Deformed Bodies

1.4 Physical Meaning of Equilibrium and its Essence in Structural Application

1.5 Equation of Equilibrium in 2D and 3D Analysis of Particle and Rigid Body

1.6 Concept of Free Body Diagram with Examples**2. Forces Acting on Particle and Rigid Body (9 hours)**

2.1 Different Types of Forces: Internal/External Force, Adhesive/ Cohesive Force, Point/ Line/ Surface Force and Contact/ Body Force

2.2 Resolution and Composition of Forces

2.3 Principle of Transmissibility and Equivalent Forces

2.4 Varignon’s Theorem and it’s Application

2.5 Moments of a Force About a Point and About an Axis

2.6 Definition, Types and Characteristics of Couple

2.7 Resolution of a Force into a Force and a Couple

2.8 Resultant of Force and Moment for a System: Coplanar, Concurrent and General Force System

2.9 Concept and Formation of Wrench (Force and Couple Lying on a Single Plane)**3. Friction (4 hours)**

3.1 Definition, Types and Uses of Friction, Laws of Friction, Static and Dynamic Coefficient of Friction, Angle of Friction

3.2 Sliding and Overturning Condition of a Body

3.3 Concept and Working Principle of Jackscrew

3.4 Practical Examples of Dry Friction (Ladder and Wedge Friction)**4. Analysis of Simple Beams and Frames (10 hours)**

4.1 Introduction to Structures

4.2 Various Types of Load on the Structure

4.3 Various Types of Supports; Reactions and Degree of Freedom

4.4 Internal and External Forces in the Structure

4.5 Relationship Between Load, Shear Force and Bending Moment

4.6 Statically and Geometrically Stable/ Unstable Beams and Frames

4.7 Statically Determinate and Indeterminate Beams and Frames, Degree of Static Indeterminacy

4.8 Axial Force, Shear Force and Bending Moment Diagrams for Determinate Beams and Frames**5. Analysis of Plane Trusses (5 hours)**

5.1 Definition of Truss, Assumption of Ideal Truss, Types and Uses of Truss in Engineering

5.2 Statically and Geometrically Stable and Unstable Truss

5.3 Statically Determinate and Indeterminate Truss, Degree of Static Indeterminacy

5.4 Analysis of Truss by the Method of Joint and Section/ Moment**6. Centre of Gravity, Centroid, Moment of Inertia, and Mass Moment of Inertia (5 hours)**

6.1 Concepts of Centre of Gravity and Centroid of Line, Area and Volume

6.2 Second Moment of Area/Moment of Inertia and Radius of Gyration

6.3 Perpendicular and Parallel Axis Theorem for Moment of Inertia

6.4 Concept of Mass Moment of Inertia**7. Kinematics of Particles (Rectilinear and Curvilinear Motion) (7 hours)**

7.1 Position, Velocity and Acceleration of a Particle for Rectilinear Motion

7.2 Dependent and Relative Motion of Particles

7.3 Position, Velocity and Acceleration of a Particle for Curvilinear Motion

7.4 Projectile Motion

7.5 Tangential and Normal Components of Velocity and Acceleration

7.6 Radial and Transverse Components of Velocity and Acceleration**8. Kinetics of Particles: Force, Acceleration, Energy and Momentum (8 hours)**

8.1 Newton’s Second Law of Motion, Linear Momentum and Impulsive Motion

8.2 Equation of Motion and Dynamic Equilibrium

8.3 Angular Momentum and Rate of Change of Angular Momentum

8.4 Equation of Motion for Rectilinear and Curvilinear Motion (Rectangular Components, Tangential & Normal Components and Radial & Transverse Components) of Particle

8.5 Work and Energy Principle

8.6 Principle of Conservation of Energy, Concept of Conservative and Non-Conservative System

8.7 Definition and Types of Impact**9. Kinematics and Kinetics of Rigid Body in Plane Motion, Energy and Momentum Methods (7 hours)**

9.1 Translation, Rotation and General Plane Motion

9.2 Absolute and Relative Velocity in Plane Motion

9.3 Instantaneous Centre of Rotation

9.4 Equation of Motion: D’Alembert’s Principle

9.5 Angular Momentum of Rigid Body

9.6 Principle of Work and Energy for a Rigid Body

9.7 Kinetic Energy for a Rigid Body

**Tutorials**

There shall be related tutorials exercised in class and given as regular homework exercise. Tutorial can be as following for each specified chapters

- Basic Concept of Mechanics and Static Equilibrium (2 hours)
- Forces Acting on Particle and Rigid Body (4 hours)
- Friction (2 hours)
- Analysis of Simple Beams and Frames (6 hours)
- Analysis of Plane Trusses (3 hours)
- Centre of Gravity, Centroid, Moment of Inertia and Mass Moment of Inertia (4 hours)
- Kinematics of Particles (Rectilinear and Curvilinear Motion) (3 hours)
- Kinetics of Particles: Force, Acceleration, Energy and Momentum (3 hours)
- Kinematics and Kinetics of Rigid Body in Plane Motion, Energy and Momentum Methods (3 hours)

**Mark Distribution**

S.N | Units/Topics | Workload (hrs) | Marks * | Remarks |

1 | Basic Concept of Mechanics and Static Equilibrium | 5 | 4 | |

2 | Forces Acting on Particle and Rigid Body | 9 | 10 | |

3 | Friction | 4 | 4 | |

4 | Analysis of Simple Beams and Frames | 10 | 14 | |

5 | Analysis of Plane Trussess | 5 | 5 | |

6 | Centre of Gravity, Centroid, Moment of inertia and Mass Moment of Inertia | 5 | 5 | |

7 | Kinematics of Particles (Rectilinear and Curvillinear Motion) | 7 | 6 | |

8 | Kinetics of Particles< Force, Acceleration, Energy and Momentum | 8 | 6 | |

9 | Kinematics and Kinetis of Rigid Body in Plane Motion, Energy and Momentum Methods | 7 | 6 | |

Total | 60 | 60 | |

**There may be minor deviation in mark distribution.*

**Reference**

- Beer F.P. and E.R. Johntson “Vector Mechanics for Engineers”, Tata McGraw Hill Publishing Co.Ltd.
- R.C. Hibbler, Ashok Gupta, “Engineering Mechanics –Statics and Dynamics”, New Delhi, Pearson,
- I.C. Jong and B.G. Rogers, “Engineering Mechanics- Statics and Dynamics”,
- R. Suwal, “A Text Book of Applied Mechanics” Second Edition, Mark Line Publication
- H.R. Parajuli and S. Neupane “Applied Mechanics for Engineers” M.K. Publishers and Distributors
- H.R. Parajuli and S. Neupane “Applied Mechanics II (Dynamics) for Engineers” M.K. Publishers and Distributors
- M.R. Dhital, “A Course Manual on Applied Mechanics I (Statics)”, TU, IOE, CIMDU,
- M.R. Dhital, “A Course Manual on Applied Mechanics II (Dynamics)”, TU, IOE, CIMDU,
- Shame, I.H., “Engineering Mechanics- Statics and Dynamics”, Prentice Hall of India, New Delhi,
- D.K. Anand and P.F. Cunnif, “Engineering Mechanics- Statics and Dynamics”,
- R.S. Khurmi, “A Text Book of Engineering Mechanics”,
- Egor. P. Popov “Engineering Mechanics of Solids”, New Delhi, Prentice Hall of India.