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**Engineering Mechanics Basics: **Engineering mechanics is the application of mechanics to solve problems involving common engineering elements. The goal of this Engineering Mechanics course is to expose students to problems in mechanics as applied to plausibly real-world scenarios.

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### List of Engineering Mechanics Books for Reference

- I. H. Shames, Engineering Mechanics: Statics and dynamics, 4th Ed, PHI, 2002.
- F. P. Beer and E. R. Johnston, Vector Mechanics for Engineers, Vol I – Statics, Vol II – Dynamics, 9th Ed, Tata McGraw Hill, 2011.
- J. L. Meriam and L. G. Kraige, Engineering Mechanics, Vol I – Statics, Vol II –Dynamics, 6th Ed, John Wiley, 2008.
- R. C. Hibbler, Engineering Mechanics: Principles of Statics and Dynamics, Pearson Press, 2006.
- Andy Ruina and Rudra Pratap, Introduction to Statics and Dynamics, Oxford University Press, 2011
- Hibbler, R.C and Ashok Gupta, “Engineering Mechanics: Statics and Dynamics”, 11th Edition, Pearson Education (2010).
- Irving H. Shames and Krishna Mohana Rao. G., “Engineering Mechanics – Statics and Dynamics”, 4th Edition, Pearson Education (2006)
- Meriam J.L. and Kraige L.G., “ Engineering Mechanics- Statics – Volume 1, Dynamics- Volume 2”, Third Edition, John Wiley & Sons,(1993)
- Rajasekaran S and Sankarasubramanian G., “Engineering Mechanics Statics and Dynamics”, 3rd Edition, Vikas Publishing House Pvt. Ltd., (2005).
- Bhavikatti, S.S and Rajashekarappa, K.G., “Engineering Mechanics”, New Age International (P) Limited Publishers, (1998).
- Kumar, K.L., “Engineering Mechanics”, 3rd Revised Edition, Tata McGraw-Hill Publishing company, New Delhi (2008)

**TEXT BOOKS:**

- Beer, F.P and Johnston Jr. E.R., “Vector Mechanics for Engineers (In SI Units): Statics and Dynamics”, 8th Edition, Tata McGraw-Hill Publishing company, New Delhi (2004).
- Vela Murali, “Engineering Mechanics”, Oxford University Press (2010)

### Engineering Mechanics Syllabus

**UNIT I:** BASICS AND STATICS OF PARTICLES

Introduction – Units and Dimensions – Laws of Mechanics –Lami’s theorem, Parallelogram and triangular Law of forces –– Vectorial representation of forces – Vector operations of forces -additions, subtraction, dot product, cross product – Coplanar Forces – rectangular components – Equilibrium of a particle – Forces in space – Equilibrium of a particle in space – Equivalent systems of forces – Principle of transmissibility .

**UNIT II:** EQUILIBRIUM OF RIGID BODIES

Free body diagram – Types of supports –Action and reaction forces –stable equilibrium – Moments and Couples – Moment of a force about a point and about an axis – Vectorial representation of

moments and couples – Scalar components of a moment –Varignon’s theorem – Single equivalent force -Equilibrium of Rigid bodies in two dimensions – Equilibrium of Rigid bodies in three dimensions

**UNIT III:** PROPERTIES OF SURFACES AND SOLIDS

Centroids and centre of mass– Centroids of lines and areas – Rectangular, circular, triangular areas by integration – T section, I section, – Angle section, Hollow section by using standard formula – Theorems of Pappus – Area moments of inertia of plane areas – Rectangular, circular, triangular areas by integration – T section, I section, Angle section, Hollow section by using standard formula –

Parallel axis theorem and perpendicular axis theorem –Principal moments of inertia of plane areas – Principal axes of inertia-Mass moment of inertia –mass moment of inertia for prismatic, cylindrical and spherical solids from first principle – Relation to area moments of inertia.

**UNIT IV:** DYNAMICS OF PARTICLES 12

Displacements, Velocity and acceleration, their relationship – Relative motion – Curvilinear motion –

Newton’s laws of motion – Work Energy Equation– Impulse and Momentum – Impact of elastic

bodies.

**UNIT V:** FRICTION AND ELEMENTS OF RIGID BODY DYNAMICS 12

Friction force – Laws of sliding friction – equilibrium analysis of simple systems with sliding friction – wedge friction-. Rolling resistance -Translation and Rotation of Rigid Bodies – Velocity and acceleration – General Plane motion of simple rigid bodies such as a cylinder, disc/wheel, and sphere.

##### This object of this book is to present the subject matter in a most concise, compact, to-the-point and lucid manner.

- ISBN:9788121926164
- Pages:765
- Language: English
- Imprint:S. Chand Publishing

**Index:**

##### 1. Introduction

2. Composition and Resolution of Force

3. Moments and Their Applications

4. Parallel Forces and Couples

5. Equilibrium of Forces

6. Centre of Gravity

7. Moment of Intertia

8. Principles of Friction

9. Applications of Friction

10. Principles of Lifting Machines

11. Simple Lifting Machine

12. Support Reactions

13. Analysis of Perfect Frames (Analytical Method)

14. Analysis of Perfect Frames (Graphical Method)

15. Equilibrium of strings

16. Virtual Work

17. Linear Motion

18. Motion Under Variable Acceleration

19. Relative Velocity

20. Projectiles

21. Motion of Rotation

22. Combined Motion of Rotation and Translation

23. Simple Harmonic Motion

24. Laws of Motion

25. Motion of Connected Bodies

26. Helical Springs and Pendulums

27. Collision of Elastic Bodies

28. Motion Along a Circular Path

29. Balancing of Rotating Masses

30. Work, Power and Energy

31. Kinetics of Motion of Rotation

32. Motion of Vehicles

33. Transmission of Power by Belt and Ropes

34. Transmission of Power by Gear Trains

35. Hydrostatics

36. Equilibrium of Floating Bodies

### Engineering Mechanics Review Questions

- State and prove Varignon’s theorem
- Derive the expression for the centroid of right-angled triangle.
- State laws of dry friction
- Derive the expression for natural frequency of undamped free vibration.
- A car of weight 20kN moving at a speed of 0.5m/s to the right collides with a car of weight 35kN which is at rest. If after the collision the second car is observed to move to the right at a speed of 0.3m/s. Determine the coefficient of restitution between the two cars.
- A hammer of mass 400kg, falls through a height of 3m on a pile of negligible mass. If it drives the pile 1m into the ground, determine the average resistance of the ground per penetration.
- A train of mass 250 x103 kg starts from rest and accelerates uniformly to a speed of 81kmph in 20 seconds. The frictional resistance to motion is 20kN. Determine (i) maximum power required and (ii) the power required to maintain speed of 81 kmph.

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