Basic of engineering Mechanics, Essays (university) of Mechanics

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ME 101: Engineering Mechanics

Rajib Kumar Bhattacharjya^ Department of Civil EngineeringIndian Institute of Technology Guwahati M Block : Room No 005 : Tel: 2428

www.iitg.ernet.in/rkbc

ME101: Division II &IV (3 1 0 8)

2

DAY^

DIV II

DIV IV

MONDAY

3.00-3.55 (PM)

10.00-10.55 (AM)

TUESDAY

2.00-2.55 (PM)

11.00-11.55 (AM)

FRIDAY

4.00-4.55 (PM)

09.00-09.55 (AM)

Lecture Schedule

: Venue L2 (Div. II & IV)

Tutorial Schedule

: Thurs: 8:00-8:55 (AM)

Department of Civil Engineering: IIT Guwahati

Course web: www.iitg.ernet.in/rkbc/me101/me101.htm^ Week

Syllabus

Tutorial

1 Basic principles: Equivalent force system; Equations of equilibrium; Freebody diagram; Reaction; Static indeterminacy.

1

2 Structures: Difference between trusses, frames and beams, Assumptionsfollowed in the analysis of structures; 2D truss; Method of joints; Methodof section

2

3 Frame; Simple beam; types of loading and supports; Shear Force andbending Moment diagram in beams; Relation among load, shear force andbending moment.

3

4 Friction: Dry friction; Description and applications of friction in wedges,thrust bearing (disk friction), belt, screw, journal bearing (Axle friction);Rolling resistance.

QUIZ

5 Virtual work and Energy method: Virtual Displacement; Principle of virtualwork; Applications of virtual work principle to machines; Mechanicalefficiency; Work of a force/couple (springs etc.);

4

6 Potential energy and equilibrium; stability. Center of Gravity and Momentof Inertia: First and second moment of area; Radius of gyration;

5

7 Parallel axis theorem; Product of inertia, Rotation of axes and principalmoment of inertia; Moment of inertia of simple and composite bodies.Mass moment of inertia.

Assignment

ME101: Text/Reference Books

I. H. Shames

,^ Engineering Mechanics: Statics and dynamics

th^ , 4Ed, PHI, 2002.

F. P. Beer and E. R. Johnston

,^ Vector Mechanics for Engineers

, Vol I - Statics, Vol II

• Dynamics, 9

th^ Ed, Tata McGraw Hill, 2011.

J. L. Meriam and L. G. Kraige

,^ Engineering Mechanics

, Vol I – Statics, Vol II –

Dynamics, 6

th^ Ed, John Wiley, 2008.

R. C. Hibbler

,^ Engineering Mechani

cs: Principles of Statics and Dynamics, Pearson

Press, 2006. Andy Ruina and Rudra Pratap

,^ Introduction to Statics and Dynamics

, Oxford

University Press, 2011

ME101: Tutorial Groups

Group

RoomNo.

Name of the Tutor

T^

L^

Dr. Karuna Kalita

T^

L^

Dr. Satyajit Panda

T^

L^

Dr. Deepak Sharma

T^

L^

Dr. M Ravi Sankar

T^

Dr. Ganesh Natrajan T^

1G^

Dr. Sachin S Gautam

T^

1G^

Dr. Swarup Bag

T^

Prof. Sudip Talukdar T^

Dr. Arbind Singh T^

Prof. Anjan Dutta T^

Dr. Kaustubh Dasgupta T^

Dr. Bishnupada Mandal T^

4G^

Prof. V. S. Moholkar

T^

4G^

Dr. A. K. Golder

Tutorial sheet has three sectionsSection I: Discuss by the tutor

(2 questions) Section II: Solve by the students in

the class (4 questions) Section II: Solve by the students

As assignment(4 questions)

ME101: Engineering Mechanics Mechanics: Oldest of the Physical Sciences Archimedes

(287-212 BC): Principles of Lever and Buoyancy!

Mechanics is a branch of the physical sciences that isconcerned with the

state of rest or motion

of bodies subjected

to the action of forces.^ Rigid-body Mechanics

^ ME

StaticsDynamicsDeformable-Body Mechanics, andFluid Mechanics

Engineering Mechanics^ Rigid-body Mechanics Statics

: deals with equilibrium of bodies under

action of forces (bodies may be either at rest ormove with a constant velocity).

Engineering Mechanics

Rigid-body Mechanics •^ Dynamics

: deals with motion of bodies

(accelerated motion)

Mechanics: Fundamental Concepts Newtonian Mechanics Length, Time, and Mass are absolute conceptsindependent of each otherForce is a derived conceptnot independent of the other fundamental concepts.Force acting on a body is related to the mass of the bodyand the variation of its velocity with time. Force can also occur between bodies that are physicallyseparated (Ex: gravitational, electrical, and magnetic forces)

Mechanics: Fundamental Concepts Remember: •^ Mass is a property of matter that does notchange from one location to another. •^ Weight refers to the gravitational attraction ofthe earth on a body or quantity of mass. Itsmagnitude depends upon the elevation atwhich the mass is located •^ Weight of a body is the gravitational force acting on it.

Mechanics: Idealizations Rigid Body

: A combination of large number of particles in

which all particles remain at a fixed distance (practically)from one another before and after applying a load.Material properties of a rigid body are not required to beconsidered when analyzing the forces acting on thebody. In most cases, actual deformations occurring in structures,machines, mechanisms, etc. are relatively small, and rigidbody assumption is suitable for analysis

Mechanics: Idealizations Concentrated Force

: Effect of a loading which is

assumed to act at a point (

CG) on a body.

-^ Provided the area over which the load is appliedis very small compared to the overall size of thebody.

Ex: Contact Forcebetween a wheeland ground.

40 kN

160 kN

Mechanics:

Newton’s Three Laws of Motion

Second Law

: A particle of mass “m” acted upon by an

unbalanced force “F

”^ experiences an acceleration “a

”^ that

has the same direction as the force and a magnitude that isdirectly proportional to the force.

F = ma

m

Second Law forms the basis for most ofthe analysis in Dynamics

Mechanics:

Newton’s Three Laws of Motion

Third law is basic to our understanding of Force

^ Forces always

Third Law occur in pairs of equal and opposite forces.

: The mutual forces of action and reaction between

two particles are equal, opposite, and collinear.