# Applied Mechanics

### CE 401

Lecture:3 Year: I

Tutorial: 2 Part: I

Practical: 0

Course Objective:

To provide concept and knowledge of engineering mechanics and help understand structural engineering stress analysis principles in later courses or to use basics of mechanics in their branch of engineering. Emphasis has been given to Statics.

- Introduction (2 hours)
- Definitions and scope of Applied Mechanics
- Concept of Rigid and Deformed Bodies
- Fundamental concepts and principles of mechanics: Newtonian Mechanics

- Basic Concept in Statics and Static Equilibrium (4 hours)
- Concept of Particles and Free Body Diagram
- Physical meaning of Equilibrium and its essence in structural application
- Equation of Equilibrium in Two Dimension

- Forces acting on particle and rigid body (6 hours)
- Different types of Forces: Point, Surface Traction and Body Forces – Translational Force and Rotational Force: Relevant Examples
- Resolution and Composition of Forces: Relevant Examples
- Principle of Transmissibility and Equivalent Forces: Relevant Examples
- Moments and couples: Relevant Examples
- Resolution of a Force into Forces and a Couple: Relevant Examples
- Resultant of Force and Moment for a System of Force: Examples

- Center of Gravity, Centroid and Moment of Inertia (6 hours)
- Concepts and Calculation of Centre of Gravity and Centroid: Examples
- Calculation of Second Moment of Area / Moment of Inertia and Radius of Gyration: And Relevant usages
- Use of Parallel axis Theorem: Relevant Examples

- Friction (2 hours)
- Laws of Friction, Static and Dynamic Coefficient of Friction, Angle of Friction: Engineering Examples of usage of friction
- Calculations involving friction in structures: Example as High Tension Friction Grip bolts and its free body diagram

- Analysis of Beams and Frames (9 hours)
- Introduction to Structures: Discrete and Continuum
- Concept of Load Estimating and Support Idealizations: Examples and Standard symbols
- Use of beams/frames in engineering: Concept of rigid joints/distribute loads in beams/frames.
- Concept of Statically/Kinematically Determinate and Indeterminate Beams and Frames: Relevant Examples
- Calculation of Axial Force, Shear Force and Bending Moment for Determinate Beams and Frames
- Axial Force, Shear Force and Bending Moment Diagrams and Examples for drawing it.

- Analysis of Plane Trusses (4 hours)
- Use of trusses in engineering: Concept of pin joints/joint loads in trusses.
- Calculation of Member Forces of Truss by method of joints: Simple Examples
- Calculation of Member Forces of Truss by method of sections: Simple Examples

- Kinematics of Particles and Rigid Body (7 hours)
- Rectilinear Kinematics: Continuous Motion
- Position, Velocity and Acceleration of a Particle and Rigid Body
- Determination of Motion of Particle and Rigid Body
- Uniform Rectilinear Motion of Particles
- Uniformly Accelerated Rectilinear Motion of Particles
- Curvilinear Motion: Rectangular Components with Examples of Particles

- Kinetics of Particles and Rigid Body: Force and Acceleration(5 hours)
- Newton’s Second Law of Motion and momentum
- Equation of Motion and Dynamic Equilibrium: Relevant Examples
- Angular Momentum and Rate of Change
- Equation of Motion-Rectilinear and Curvilinear
- Rectangular: Tangential and Normal Components and Polar Coordinates: Radial and Transverse components

Tutorials:

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

- Introduction (1 hour)
- Theory; definition and concept type questions.

- Basic Concept in Statics and Static Equilibrium (2 hours)
- Theory; definition and concept type questions.

- Concept of Force acting on structures (3 hours)
- Practical examples; numerical examples and derivation types of questions.
- There can be tutorials for each sub-section.

- Center of Gravity, Centroid and Moment of Inertia (4 hours)
- Concept type; numerical examples and practical examples type questions.

- Friction (2 hours)
- Definition type; Practical example type and numerical type questions.

- Analysis of Beam and Frame (5 hours)
- Concept type; definition type; numerical examples type with diagrams questions.
- There can be tutorials for each sub-section.

- Analysis of Plane Trusses (5 hours)
- Concept type; definition type; numerical examples type questions.
- There can be tutorials for each sub-section.

- Kinematics of Particles and Rigid Body (4 hours)
- Definition type; numerical examples type questions.
- There can be tutorials for each sub-section.

- Kinetics of Particles and Rigid Body: Force and Acceleration (4 hours)
- Concept type; definition type; numerical examples type questions.
- There can be tutorials for each sub-section.

References:

- “Mechanics of Engineers- Statics and Dynamics”, F.P. Beer and E.R.Johnston, Jr. 4th Edition, Mc Graw-Hill, 1987.
- “Engineering Mechanics-Statics and Dynamics”, R.C. Hibbeler, Ashok Gupta. 11th edition., New Delhi, Pearson, 2009.
- “Engineering Mechanics- Statics and Dynamics”, I.C. Jong and B.G. Rogers
- “Engineering Mechanics- Statics and Dynamics”, D.K. Anand and P.F. Cunnif
- “A Text Book of Engineering Mechanics”, R.S. Khurmi
- “Applied Mechanics and Strength of Materials”, R.S.Khurmi
- “A Text Book of Applied Mechanics”, I.B.Prasad
- “Engineering Mechanics-Statics and Dynamics”, Shame, I.H. 3rd ed., New Delhi, Prentice Hall of India, 1990.