Mechanics for Engineers

Teacher

Dr. Gouri Kumar Sahu

Category

Core Courses

Course Attendees

Still no participant

Course Reviews

Still no reviews

Course Name : Mechanics for Engineers

Code(Credit) : CUTM1006(2-1-0)

Course Objectives

The objectives of the course are

  • To develop a fundamental understanding of the principles of statics and dynamics.
  • To enhance problem-solving skills in engineering mechanics.
  • To foster the application of engineering mechanics principles in real-world scenarios.

Course Outcomes

After completion of the course, students will be able to:

  • CO1: Describe the fundamental principles of forces, moments, friction, equilibrium, and motion, and explain their relevance in solving engineering mechanics problems.
  • CO2: Apply the principles of equilibrium, friction, and moment of inertia to analyze and solve problems related to simple mechanical systems and structural elements.
  • CO3: Construct and analyze free-body diagrams (FBDs) and determine support reactions, centroid locations, and motion parameters for various mechanical systems.
  • CO4: Evaluate dynamic systems using Newton’s laws, the work-energy principle, and the impulse-momentum principle to predict motion responses under applied forces.
  • CO5: Integrate concepts of force, equilibrium, friction, and motion to design simplified mechanical systems and propose effective engineering solutions.

Course Syllabus

Module I: (6 hours)

Force and Moment:
Law of Transmissibility of a Force, Composition and Resolution of Forces, Resultant and Equilibrant, Resultant of Two and Several Forces, Moment of a Force and a Couple, Varignon’s Principle of Moment
Practice-1: Verification of the laws of the parallelogram of forces

Module II: ( 6 hours)

Equilibrium:
System Isolation and Free Body Diagram, Particle Equilibrium, Lami’s theorem, General Conditions of Equilibrium, Types of Supports and Support Reactions, Rigid Body Equilibrium.
Practice-2: To verify the condition of equilibrium by finding reactions at the support of a beam

Module III: ( 6 hours)

Friction:
Basic Terms used in Dry Friction, Laws of Coulomb Friction, Equilibrium of Bodies on an Inclined Plane, Ladder Friction, Belt Friction
Practice-3: Determination of Angle of Repose

Module IV: ( 4 hours)

Centroid:
Axis of Symmetry, Centroid of Lines, Areas and Volumes, Centroid of Composite Section.

Module V: ( 6 hours)

Moment of Inertia: 
Rectangular and Polar Moment of Inertia, Radius of Gyration, Parallel Axis Theorem and Perpendicular Axis Theorem, Moment of Inertia of Composite Section
Practice-4: Determination of Moment of Inertia of a flywheel.
Module VI: ( 4 hours)

Kinematics of Linear Motion:
Kinematics of a Particle, Uniform and Variable Acceleration, Motion under Gravity.

Module VII: (8 hours)

Kinetics of Linear Motion:
Principles of Dynamics such as Newton’s Second Law, Work-Energy Principle, Impulse-Momentum Principle, Law of Conservation of Momentum, and Energy Conservation
Practice-5: Verification of Newton’s second law of motion
Practice-6: Verification of conservation of momentum in collision

Text Books:
Engineering Mechanics: Statics and Dynamics by A. K. Tayal, Umesh Publications
Reference Books:
Engineering Mechanics by S. Timoshenko, D.H. Young, and J.V. Rao, Tata McGraw-Hill
Engineering Mechanics by D.S. Kumar, S.K. Kataria and Sons

Session Plan

Session 1

Introduction, Law of Transmissibility of a Force, System of forces

YouTube: https://youtu.be/HjFunNWJplI

Study Materials: MFE-1

PPT:Mechanics for Engineers-1

Session 2

Composition and Resolution of Forces, Resultant and Equilibrant

YouTube: https://youtu.be/T8-g7stZwDs

Study Material: MFE-2

PPT: Mechanics for Engineers-2

Session 3

Resultant of Two and Several Forces

YouTube: https://youtu.be/OxG4pBDOAJg

Study Material: MFE-3

Session 4

Moment of a Force and a Couple, Varignon’s Principle of Moment

YouTube: https://youtu.be/us7KNhguSuM

Study Material: MFE-4

Session 5

Practice-1(2 hrs.):

Verification of the law of the parallelogram of forces

YouTube: https://youtu.be/BSP-3J4H6pM

Vlab: http://amrita.olabs.edu.in/?sub=1&brch=5&sim=20&cnt=4

Session 6

System Isolation and Support Reactions

YouTube: https://www.youtube.com/watch?v=P73w5ALGWjE&t=1s

YouTube: Support Reactions

Study Material: Mechanics for Engineers-6a

Session 7

Free Body Diagram

YouTube: Free Body Diagram

Study Material: Mechanics for Engineers-6b

Session 8

Particle Equilibrium, General Conditions of Equilibrium

YouTube: https://youtu.be/AZzFQDeeUBI

Study Material: MFE-7

Session 9

Particle Equilibrium: Methods of Resolution & Lami’s Theorem

YouTube: Lami's theorem

Study Material: MFE-7

Session 10

Practice-2(2 hrs.)

To verify the condition of equilibrium by finding reactions at the support of a beam

YouTube: https://youtu.be/swJULZs71Oo

Vlab:http://vlabs.iitb.ac.in/vlabs-dev/vlab_bootcamp/bootcamp/alvinn/experiments/simply-supported-beams-point-load-pvg/simulation.html

Session 11

Basic Terms used in Dry Friction,

YouTube: Friction

Study Material: MFE-8

Session 12

Laws of Coulomb Friction, Problems

YouTube: https://youtu.be/Bf4UrWfys5U

YouTube: https://youtu.be/doY2MIsU2aQ

Study Material: MFE-8

Session 13

Ladder Friction, Problems

YouTube: https://youtu.be/XaFkPeW1d7k

Study Material: MFE-10

Session 14

Belt Friction, Problems

YouTube: https://youtu.be/mWce2ZzfDiM

Study Material: MFE-11

Session 15

Session 16

Axis of Symmetry, Centroid of Lines, Areas, and Volumes

YouTube: https://youtu.be/R8wKV0UQtlo

Study Material: MFE-13

Session 17

Centroid from 1st principle, Centroid of Basic shapes

YouTube: https://youtu.be/G2jhy-SXceQ

Study Material: MFE-14

Session 18

Centroid of Composite Sections

YouTube: https://youtu.be/G2jhy-SXceQ

Study Material: MFE-14

Session 19

Centroid of sections with the void

YouTube: https://youtu.be/G2jhy-SXceQ

Study Material: MFE-14

Session 20

Rectangular and Polar Moment of Inertia, Radius of Gyration

YouTube: https://youtu.be/A4KhJYrt4-s

Study Material: MFE-15

Session 21

Parallel Axis Theorem and Perpendicular Axis Theorem

YouTube: https://youtu.be/_Kwel7lQNcA

Study Material: MFE-16

Session 22

MI from the 1st principle, MI of some basic shapes

YouTube: https://youtu.be/_Kwel7lQNcA

Study Material: MFE-16

Session 23

Moment of Inertia of Composite Sections

YouTube: https://youtu.be/2TqDATuJU8k

Study Material: MFE-17

Session 24

Practice-4(2 hrs.):

Determination of Moment of Inertia of a fly wheel.

Vlab: https://vlab.amrita.edu/?sub=1&brch=74&sim=571&cnt=1

Session 25

Kinematics of a Particle, Graphical representations, Uniform acceleration

YouTube: https://youtu.be/4dCrkp8qgLU

Study Material: MFE-19

Session 26

Equations of motion, problems

Physclip: https://www.animations.physics.unsw.edu.au/mechanics/chapter2_projectiles.html#2.2

Study Material: MFE-20

Session 27

Variable Acceleration, Motion under Gravity

Physclip: https://www.animations.physics.unsw.edu.au/mechanics/chapter2_projectiles.html#2.2

Study Material: MFE-20

Session 28

Motion of connected bodies

YouTube: https://youtu.be/aY8z2qO44WA

Session 29

Force, momentum, Newton's laws of motion

YouTube: https://youtu.be/xzA6IBWUEDE

Study Material: MFE-22

Session 30

Newton’s Second Law and D’ Alembert’s Principle

YouTube: https://youtu.be/xzA6IBWUEDE

Study Material: MFE-22

Session 31

Work-Energy Principle, Impulse-Momentum Principle

YouTube: work-energy: https://youtu.be/zVRH9d5PW8g

YouTube: Impulse-momentum:https://youtu.be/E13h1E_Pc00

Study Material: MFE-23

Session 32

Law of Conservation of Momentum, Law of Conservation of Energy

YouTube: https://youtu.be/OTK9JrKC6EY

Study Material: https://www.slideshare.net/eliseb/conservation-of-momentum

Session 33

Practice-5(2 hrs.):

Verification of Newton’s second law of motion

Vlab: http://vlab.amrita.edu/index.php?sub=1&brch=74&sim=207&cnt=4

Session 34

Practice-6(2 hrs.):

Verification of conservation of momentum in collision

Vlab: http://vlab.amrita.edu/index.php?sub=1&brch=74&sim=189&cnt=4

Our Main Teachers

I am an Associate Professor of Physics at the School of Applied Science, Paralakhemundi Campus of Centurion University of Technology and Management in Odisha. I have been teaching Physics since 1995, shortly after completing my postgraduate degree from Berhampur University. I possess over six years of teaching experience at the +2 level and twenty-five years […]