ENGINEERING MECHANICS

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ENGINEERING MECHANICS SESSION-1 Click on VIEW and select SLIDE SHOW to view the presentation.

COURSE OBJECTIVE This course aims at enabling the students of engineering to analyze various systems of forces and thereby be able to calculate the magnitude of these forces on various systems in statics and dynamics.

COURSE OUTCOMES CO No: CO SO BTL 1 Understand the concept of forces and apply the static equilibrium equations. a,e 1,2 2 Analyze co-planar and non co-planar system of forces. 3 Apply the concept of centroid & centre of gravity to determine moment of inertia. 4 Analyze the rigid bodies under translation and rotation with and without considering forces. 5 Understand the engineering systems to prepare and demonstrate the models with the help of mechanics concept to solve the engineering problems.

EVALUATION PLAN Evaluation Component Weightage / Marks Date Dura tion (Hou rs) CO I CO II CO III CO IV CO V COI Number  1 2 3  BTL  Test 1 Weightage (7.5%) 23- 27/1/16 1 hr 30 min. 2.5   Max Marks (30) 10 Test 2 5- 9/3/16 Test 3 26- 29/3/16

EVALUATION PLAN Lab Max Marks (50) Project Home Assignment Weightage (5%) 14- 19/3/16 100 min. Record(2%)+Experiment(2)+Viva(1%) 5 Max Marks (50) 50 Project Review-1&2 and Final Review LTC Home Assignment Weightage (2.5%) All 26 sessions Each session . 0.3 0.2   Max Marks (20) 2.4 1.6 Classroom assignment: tutorial problem solving manually & computer assisted. Weightage (7.5%) Session: 4,6,8,11,14, 16,19,21,24,26 45 mins on each tutorial session. 0.75 1.5 Max Marks (60) 6 12 Classroom onboard presentation(student seminars) 0.25 0.5 2 4

EVALUATION PLAN Attendanc e Weightage (5%) 23/12/15 -23/4/16 23/12/15 -23/4/16 Equal weightage for all the lecture sessions (5 %)   Max Marks (5) 5 SE Lab Exam 18- 23/4/16 100 min Record(2%)+Experiment(2)+Viva(1%) Max Marks (50) 50 SE Project Exam Weightage (7.5%) 11-16/4/16 Report(3%)+Presentation(3%)+viva(1.5%) 7.5 Semester End Exam Weightage ( 37.5%) 2-14/5/16 3 hrs 1.5 4.5 3.0 2 6 4 10 Question Number 1(a) 1(b) 1(c) 3(a) 3(b) 3(c) 5(a) 5(b) 5(c) 7(a) 7(b) 7(c) 2(a) 2(b) 2(c) 4(a) 4(b) 4(c) 6(a) 6(b) 6(c) 8(a) 8(b) 8(c)

SYLLABUS Force Systems: Basic concepts, Laws of motion, Principle of Transmissibility of forces, Transfer of a force to parallel position , Resultant of a force system, Simplest Resultant of Two dimensional concurrent and Non-concurrent Force systems, Free body diagrams, Equilibrium and Equations of Equilibrium, Applications, Forces in space, Truss-Method of joints and sections. Properties of areas and volumes: Centroids, centre of gravity, Moment of inertia- Area and Mass Friction: Introduction, Laws of Coulomb Friction, Equilibrium of Bodies involving Dry-friction, Application.  

SYLLABUS Kinematics of Rigid Body: Introduction, Plane Motion of Rigid Body, Velocity and Acceleration under Translation and Rotational Motion.   Kinetics of Rigid Body: Introduction, Force, Mass and Acceleration, Work and Energy, Impulse and Momentum, D-Alembert’s Principles and Dynamic Equilibrium. Text Books: Engineering Mechanics (in SI Units) by S. Timoshenko, D. H. Young, J .V. Rao, Tata McGraw Hill. Reference Books: 1. Engineering Mechanics by Irving H. Shames, Prentice-Hall. 2. Vector Mechanics for Engineers-Statics & Dynamics by F.P. Beer and E.R. Johnston , McGraw Hill.

SESSION OUTCOMES At the end of this session, Students will be able to: Understand the concept of rigid body mechanics. b. Distinguish various types of forces.

Teaching – Learning Method SESSION PLAN Time(min) Topic BTL Teaching – Learning Method 10 Introduction and overview of the mechanics 1   Presentation 30 Applications of engineering mechanics. Classification of mechanics, Basic concepts of rigid body mechanics.Vectors, Units, Dimensions and conversions. Animation Newton’s laws of motion Force and its Characteristics , Types of forces & force system. Students will distinguish and demonstrate different real time forces. 2 Interactive mode 05 Summary of forces, reaction, tension & compression.

INTRODUCTION Vector : A quantity having both magnitude & direction. Force : Force is an external agent which changes or tends to change the state of a body. Newton’s laws of motion: 1st law: Every body continues in its state of rest or of uniform motion unless or until some external force acts on it. 2nd law: The rate of change of momentum is directly proportional to the impressed force and takes place in the same direction. 3rd law: To every action there is an equal and opposite reaction.

MECHANICS It is defined as that branch of science, which describes and predicts the conditions of rest or motion of bodies under the action of forces.

APPLICATION OF ENGINEERING MECHANICS Engineering mechanics applies the principle of mechanics to design, taking into account the effects of forces. It is useful when it comes to analyzing stress, designing of machine structures and hydraulics, etc.

CLASSIFICATION OF MECHANICS Rigid bodies Deformable bodies Fluids (Fluid Mechanics) (Engineering Mechanics) (Solid Mechanics) Engineering Mechanics Statics Dynamics Kinematics Kinetics

CLASSIFICATION OF MECHANICS Statics: Statics is the branch of mechanics which deals with forces and their effects while acted upon bodies which are at rest. Dynamics: Dynamics is the branch of mechanics which deals with forces and their effects while acted upon bodies which are in motion. Kinematics: Kinematics is the branch of mechanics which deals with motion parameters without considering the forces responsible for motion. Kinetics: Kinetics is the branch of mechanics which deals with motion parameters as well as forces responsible for motion.

CONCEPT OF RIGID BODY MECHANICS Anybody which doesn’t undergo deformation (change in length or change in area or change in shape) under the action of forces is said to be rigid body Deformable body Rigid body

Physical Quantity Unit Symbol 1. Length meter m 2. Mass kilogram kg 3. Time second s

SI Units Used in Mechanics Acceleration m/s 2 Angle rad Angular acceleration rad/s 2 Angular velocity rad/s Area m 2 Density kg/m 3 Energy J =N m Force N =kg m/s 2 Frequency Hz Impulse kg -m/s Length m Mass kg Moment N m Power W =J/s Pressure Pa =N/m 2 Stress Pa =N/m 2 Time s Velocity m/s Volume m 3 Work J =N m

Sl Prefixes 10 e12 tera T 10 e9 giga G 10 e6 mega M 10 e3 kilo k 10 e2 hecto h 10 e1 deka da 10 e-1 deci d 10 e-2 centi c 10 e-3 milli m 10 e-6 micro m 10 e-9 nano n 10 e-12 pico p

Participative session-1 Quiz

Participative session-1 Quiz

FORCE & ITS CHARACTERISTICS Force may be defined as any action that tends to change the state of rest or motion of a body to which it is applied. Characteristics of a force 1. Magnitude 2. Point of application 3. Direction of application

TYPES OF FORCES & FORCE SYSTEM Forces acting on planes are broadly divided into following two types Force Coplanar Non-coplanar 1.Collinear 2.Concurrent 3.Parallel 4.Non-concurrent & Non parallel 1.Collinear 2.Concurrent 3.Parallel 4.Non-concurrent & Non parallel System of forces refer to a group of forces acting on a particle.

TYPES OF FORCES & FORCE SYSTEM coplanar collinear forces coplanar concurrent forces coplanar parallel forces coplanar nonconcurrent & nonparallel forces

Participative session-2 practice

CONCLUSION Mechanics & its branches Force & its classification SI units

HOME ASSIGNMENT 1.Define and classify rigid body Mechanics. Distinguish between fundamental and derived units. Write down SI unit and dimension of at least ten quantities used in mechanics. 2.What are the characteristics of a force ? Define and classify system of forces. Support your answer with relevant diagrams. ***Submission date:Session-4(During tutorial-1)

Volume : It is the measure of the amount of space inside of a solid figure(m3 ) Pressure:It is the amount of force acting per unit area (N/m2) Work:It is the scalar product of the force acting on an object and the dispacement caused by that force.(N-m) Power:It is the rate of doing work(Watts)