Mechanics for Engineers

Teacher

Dr. Gouri Kumar Sahu

Category

Core Courses

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Course Name : Mechanics for Engineers

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

Course Objectives

  • To provide the students with a clear and thorough understanding on fundamentals of mechanics as applied to solve real-world problems

Course Outcomes

COs

Mapping COs with POs

(High-3, Medium-2, Low-1)

CO1: Determine the resultant of various systems of forces and moments of forces, couples.

PO1(3), PO2(1), PO5(1)

CO2: Construct free-body diagrams and calculate the reactions necessary to ensure static equilibrium.

PO2(3), PO2(2), PO5(1)

CO3: Think and analyze the frictional forces involved in planes and the effect of friction in static and dynamic conditions.

PO1 (3), PO2(2), PO5(1)

CO4: Determine the centroid and moment of inertia of composite plane areas.

PO1 (3), PO2(2), PO5(1)

CO5: Solve different problems of kinematics and kinetics.

PO1 (3), PO2(2)

Course Syllabus

Module I:

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 laws of parallelogram law of forces

Module II:

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:

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

Module IV:

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

Module V:

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 fly wheel.
Module VI:

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

Module VII:

Kinetics of Linear Motion:
Principles of Dynamics such as Newton’s Second Law, Work-Energy Principle, Impulse-Momentum Principle, Law of Conservation Law of Momentum and Energy
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

You tube: https://youtu.be/HjFunNWJplI

Study Materials: MFE-1

PPT:Mechanics for Engineers-1

Session 2

Composition and Resolution of Forces, Resultant and Equilibrant

You tube: https://youtu.be/T8-g7stZwDs

Study Material: MFE-2

PPT: Mechanics for Engineers-2

Session 3

Resultant of Two and Several Forces

You tube: https://youtu.be/OxG4pBDOAJg

Study Material: MFE-3

Session 4

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

You tube: https://youtu.be/us7KNhguSuM

Study Material: MFE-4

Session 5

Practice-1(2 hrs.):

Verification of laws of parallelogram law of forces

You tube: https://youtu.be/BSP-3J4H6pM

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

Session 6

System Isolation and Free Body Diagram

You tube: https://youtu.be/go4vsgnb9jU

Study Material: MFE-6

Session 7

Particle Equilibrium, General Conditions of Equilibrium

You tube: https://youtu.be/AZzFQDeeUBI

Study Material: MFE-7

Session 8

Types of Supports and Support Reactions, Rigid Body Equilibrium

You tube: https://youtu.be/Bf4UrWfys5U

You tube: https://youtu.be/doY2MIsU2aQ

Study Material: MFE-8

Session 9

Practice-2(2 hrs.)

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

You tube: https://youtu.be/swJULZs71Oo

Session 10

Basic Terms used in Dry Friction, Laws of Coulomb Friction

You tube:  Coulomb's Law of dry friction - YouTube

Study Material: MFE-10

Session 12

Session 13

Axis of Symmetry, Centroid of Lines, Areas and Volumes

You tube: https://youtu.be/R8wKV0UQtlo

Study Material: MFE-13

Session 14

Centroid of Composite Sections

You tube: https://youtu.be/G2jhy-SXceQ

Study Material: MFE-14

Session 15

Rectangular and Polar Moment of Inertia, Radius of Gyration

You tube: https://youtu.be/A4KhJYrt4-s

Study Material: MFE-15

Session 16

Parallel Axis Theorem and Perpendicular Axis Theorem

You tube: https://youtu.be/_Kwel7lQNcA

Study Material: MFE-16

Session 17

Moment of Inertia of Composite Sections

You tube: https://youtu.be/2TqDATuJU8k

Study Material: MFE-17

Session 18

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 19

Kinematics of a Particle, Uniform acceleration

You tube: https://youtu.be/4dCrkp8qgLU

Study Material: MFE-19

Session 20

Variable Acceleration, Motion under Gravity

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

Study Material: MFE-20

Session 21

Newton's laws of Motion, inertia

You tube: Newton's First Law of Motion: Mass and Inertia - YouTube

Session 22

Newton’s Second Law

You tube:https://youtu.be/xzA6IBWUEDE

Study Material: MFE-22

Session 23

Work-Energy Principle, Impulse-Momentum Principle

You tube: work-energy: https://youtu.be/zVRH9d5PW8g

You tube: Impulse-momentum:https://youtu.be/E13h1E_Pc00

Study Material: MFE-23

Session 24

Law of Conservation of Momentum, Law of Conservation of Energy

You tube: https://youtu.be/OTK9JrKC6EY

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

Session 25

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 26

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

Dr. Sahu is working as Associate Professor of Physics in the School of Applied Science, Paralakhemundi Campus of Centurion University of Technology and Management, Odisha. He started teaching Physics from the year 1995 just after completion of his Post Graduate Degree from Berhampur University. He has more than six years of teaching experience at +2 […]

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