Engineering Mechanics

ME25C02

Engineering Mechanics

Course Objectives:

● To introduce the fundamental concepts and principles of statics related to forces acting on particles and rigid bodies.

● To develop the ability to formulate and apply equilibrium equations for particles and rigid bodies in two and three dimensions.

● To enable students to analyse force systems through vector resolution and calculation of moments and couples.

Statics of Particles: Resultant of forces in a plane, Equilibrium of a particle in a plane, Addition of concurrent forces in space, Equilibrium of a particle in space.

Activities: Assignments and Quiz on resultant forces, Solving of GATE questions.

Statics of Rigid Bodies: Concept of Free Body Diagram, Equivalent systems of forces, Transmissibility, Moment of a force about a point and an axis, Couples and force-couple systems, Equilibrium of rigid bodies in two and three dimensions, Principle of virtual work.

Activities: Virtual demonstration of rigid bodies, Solving of GATE questions.

Moments of Inertia: First moments of areas and lines, Centroids of composite areas and lines, Theorems of Pappus-Guldinus, Second moment of area, Parallel axis theorem, Rectangular and Polar Moments of inertia of composite areas, Radius of Gyration, Product of Inertia, Principal Axes and Principal Moments of Inertia, Mass moments of inertia of thin plates.

Activities: Virtual Simulation of Moment of Inertia, Principal Axes Determination, Solving of GATE questions.

Friction: Laws of friction, Coefficients of Friction, Angles of Friction, Types of Friction Problems, Wedges and Ladder friction, Belt friction.

Activities: Virtual Demonstration of Friction in belts and pulleys, Solving of GATE questions

Weightage:

Continuous Assessment: 40%

End Semester Examinations: 60%

Assessment Methodology:

Quiz - 10%, Assignments - 20%, Solving of GATE questions (20%) and Internal Examinations - 50%

References:

1. Beer, F. P., Johnston Jr., E. R., DeWolf, J. T., & Mazurek, D. F. (2015). Mechanics of Materials. McGraw-Hill Education.

 2. Meriam, J. L., & Kraige, L. G. (2018). Engineering Mechanics: Statics and Dynamics. Wiley.

3. Pytel, A., & Kiusalaas, J. (2014). Engineering Mechanics (Indian Edition). Cengage Learning India.

E-resources:

1. Moment of Inertia Calculator – https://skyciv.com/free-moment-of-inertia- calculator/

2. OpenStax – University Physics Volume 1 – https://openstax.org/books/university-physics-volume-1/pages/10-4-moment- of-inertia-and-rotational-kinetic-energy

3. Engineering Mechanics, Dr. Dwarakish. G. S. –

https://onlinecourses.swayam2.ac.in/ntr24_ed75/preview