DEPARTMENT OF MECHANICAL ENGINEERING COURE DECRIPTION Course Code Course Title : A10302 : ENGINEERING MECHANIC Course tructure : Lectures Tutorials Practical Credits 3 - - 6 Course Coordinator : Dr.D.Govardhan, Professor, Department of Mechanical Engineering Team of Instructors I. Course Overview: : B.D.Y.unil, Asst.Professor, Department of Mechanical Engineering The aim of Engineering Mechanics is to introduce students to the fundamental concepts and principles applied by engineers -whether civil, mechanical, aeronautical, etc. This course introduces the concepts of engineering based on forces in equilibrium. Topics include concentrated forces, distributed forces, forces due to friction, inertia, work energy principle and vibrations as they apply to machines, structures, and systems. It is the branch of science for analyzing force systems that acts upon the bodies at either at rest or in motion. II. Prerequisite(s): Level Credits Periods / Week Prerequisite(s) UG 6 5+1 Mathematics, Physics III. Marks Distribution: Mid emester Test essional Marks University End Exam Marks Total Marks 1 P a g e There shall be 3 midterm examinations. Each midterm examination consists of one objective paper, one subjective paper and one assignment. The objective paper is for 10 marks and subjective paper is for 10 marks, with duration of 1 hour 20 minutes (20 minutes for objective and 60 minutes for subjective paper). Objective paper is set for 20 bits of multiple choice questions, fill-in the blanks, 10 marks. ubjective paper consists of 4 full questions of which, the student has to answer 2 questions, each question carrying 5 marks. First midterm examination shall be conducted for 1 st unit of syllabus, second midterm examination shall be conducted for 2 nd and 3 rd units and third midterm examination shall be conducted for 4 th and 5 th units. 5 marks are allocated for Assignments (as specified by the concerned subject teacher) first assignment should be submitted before the conduct of the first mid, second assignment should be submitted before the conduct of the second mid and third assignment should be submitted before the conduct of the third mid. The total marks secured by the student in each midterm examination are evaluated for 25 marks, and the average of the three midterm examination marks shall be taken as the final sessional marks secured by each candidate 75 100
IV. Evaluation cheme:. No. Component Duration (hours) Marks 1 I Mid Examination 1 hour and 20 min 20 2 I Assignment lot 5 TOTAL 25 3 II Mid Examination 1 hour and 20 min 20 4 II Assignment lot 5 TOTAL 25 5 III Mid Examination 1 hour and 20 min 20 6 III Assignment lot 5 TOTAL 25 MID Examination marks to be considered as average of above 3 MID s TOTAL 7 EXTERNAL Examination 3 75 8 GRAND TOTAL 100 V. Course Objectives: I. tudents should develop the ability to work comfortably with basic engineering mechanics concepts required for analyzing static structures. II. III. IV. Identify an appropriate structural system to studying a given problem and isolate it from its environment, model the problem using good free-body diagrams and accurate equilibrium equations. Identify and model various types of loading and support conditions that act on structural systems, apply pertinent mathematical, physical and engineering mechanical principles to the system to solve and analyze the problem. Understand the meaning of centre of gravity (mass)/centroid and moment of Inertia using integration methods and method of moments. V. To solve the problem of equilibrium by using the principle of work and energy, impulse momentum and vibrations for preparing the students for higher level courses such as,mechanics of olids, Mechanics of Fluids, Mechanical Design and tructural Analysis etc... VI. Course Outcomes: 1. tudents will be able to describe position, forces, and moments in terms of vector forms in two and three dimensions. 2. tudents will be able to draw complete free body diagrams and write appropriate equilibrium equations from the free body diagram, including the support reactions for analyzing the forces. 3. tudents will be able to calculate moments, centroids, and centers of mass for discrete particles: a body of arbitrary shape, a body having axial symmetry and the moments of Inertia. 4. tudents will be able to apply the concepts of Principle of work and energy, impulse momentum and vibrations. 2 P a g e
VII. How course outcomes are assessed: a b c d e f h i j k l N m Outcome Graduates will demonstrate the ability to use basic knowledge in mathematics, science and engineering and apply them to solve problems specific to mechanical engineering (Fundamental engineering analysis skills). Graduates will demonstrate the ability to design and conduct experiments, interpret and analyze data, and report results (Information retrieval skills). Graduates will demonstrate the ability to design any Mechanical systems that meets desired specifications and requirements (Creative skills). Graduates will demonstrate the ability to function as a coherent unit in multidisciplinary design teams, and deliver results through collaborative research (Teamwork). Graduates will demonstrate the ability to identify, formulate and solve mechanical engineering problems of a complex kind (Engineering problem solving skills). Graduates will demonstrate an understanding of their professional and ethical responsibilities, and use technology for the benefit of mankind (Professional integrity). Graduates will have the confidence to apply engineering solutions in global and national contexts (Engineering impact assessment skills). Graduates should be capable of self-education and clearly understand the value of life-long learning (Continuing education awareness). Graduates will develop an open mind and have an understanding of the impact of engineering on society and demonstrate awareness of contemporary issues (ocial awareness). Graduates will be familiar with applying software methods and modern computer tools to analyze mechanical engineering problems (oftware hardware interface). Graduates will have the ability to recognize the importance of professional development by pursing post graduate studies or face competitive examinations that offer challenging and rewarding careers in Mechanical Engineering (uccessful career and (immediate employment). Graduate will be able to design a system to meet desired needs within environmental, economic, political, ethical health and safety, manufacturability and management knowledge and techniques to estimate time, resources to complete project (Practical engineering analysis skills). Level H H H Proficiency assessed by olving Problems, Tutorial, Assignments, Exams Project Work Assignments, Tutorials, Exams Project Work olving Problems, Tutorial, Assignments, Exams N -- Project Work -- N -- -- -- Gate Exam, Job Interviews N = None = upportive H = Highly Relate 3 P a g e
VIII. yllabus: UNIT I Introduction to Engineering Mechanics Basic Concepts. Resultants of Force ystem: Parallelogram law Forces and components- Resultant of coplanar Concurrent Forces Components of forces in pace Moment of Force - principle of moments Coplanar Applications Couples - Resultant of any Force ystem. Equilibrium of Force ystems : Free Body Diagrams, Equations of Equilibrium - Equilibrium of planar ystems - Equilibrium of patial ystems. UNIT II FRICTION: Introduction Theory of Friction Angle of friction - Laws of Friction tatic and Dynamic Frictions Motion of Bodies: Wedge, crew, crew-jack, and Differential crew-jack. Transmission of Power: Flat Belt Drives - Types of Flat Belt Drives Length of Belt, tensions, Tight side, lack ide, Initial and Centrifugal Power Transmitted and Condition for Max. Power. UNIT III CENTROID AND CENTER OF GRAVITY: Introduction Centroids and Centre of gravity of simple figures (from basic principles ) Centroids of Composite Figures - Theorem of Pappus Center of gravity of bodies and centroids of volumes. Moments of Inertia : Definition Polar Moment of Inertia Radius of gyration - Transfer formula for moment of inertia - Moments of Inertia for Composite areas - Products of Inertia, Transfer Formula for Product of Inertia. Mass Moment of Inertia : Moment of Inertia of Masses- Transfer Formula for Mass Moments of Inertia - mass moment of inertia of composite bodies. UNIT IV KINEMATIC OF A PARTICLE: Motion of a particle Rectilinear motion motion curves Rectangular components of curvilinear motion Kinematics of Rigid Body - Types of rigid body motion - Angular motion - Fixed Axis Rotation Kinetics of particles: Translation -Analysis as a Particle and Analysis as a Rigid Body in Translation Equations of plane motion - Angular motion - Fixed Axis Rotation Rolling Bodies. UNIT V WORK ENERGY METHOD: Work energy Equations for Translation - Work-Energy Applications to Particle Motion Work energy applied to Connected ystems - Work energy applied to Fixed Axis Rotation and Plane Motion. Impulse and momentum. Mechanical Vibrations : Definitions and Concepts imple Harmonic Motion Free vibrations, simple and Compound Pendulums Torsion Pendulum Free vibrations without damping: General cases. TEXT BOOK: 1. Engineering Mechanics - tatics and Dynamics by Ferdinand.L. inger / Harper International Edition. 2. Engineering Mechanics/. Timoshenko and D.H. Young, Mc Graw Hill Book Compan. REFERENCE: 1. Engineering Mechanics / Irving hames / Prentice Hall 2. A text of Engineering Mechanics /YVD Rao/ K. Govinda Rajulu/ M. Manzoor Hussain, Academic Publishing Company 3. Engg. Mechanics / M.V. eshagiri Rao & D Rama Durgaiah/ Universities Press 4. Engineering Mechanics, Umesh Regl / Tayal. 5. Engg. Mechanics / KL Kumar / Tata McGraw Hill. 6. Engg. Mechanics /.. Bhavikati & K.G. Rajasekharappa 4 P a g e
X. Course Plan: The course plan is meant as a guideline. There may probably be changes. Lecture No. 1-2 Course Learning Outcomes Description Describe Mechanics UNIT I - Introduction to Engineering. Mechanics Basic Concepts. 3-4 Explain Force systems Resultants of Force ystem: Parallelogram law 5-6 Relate different laws with forces Forces and components (triangle law of forces, polygonal law of forces) 7-8 Discuss resultant Resultant of Coplanar Concurrent Forces 9-10 Explain force moment Moment of force 11-12 Explain principle of Principle of moments moments 13-14 Discuss applications Coplanar applications 15-16 Describe couple Couples 17-18 Analyze force system Resultant of any force system 19-20 Enumerate equilibrium Equilibrium of ystems of Forces : Free Body Diagrams, 21-22 Describe planar system Equations of equilibrium of planar system 23-25 Discuss spatial system Equilibrium of patial ystems 26-27 Describe friction UNIT II - FRICTION: Introduction Theory of Friction Angle of friction 28-29 Discuss static friction tatic friction 30-31 Discuss dynamic friction Dynamic Friction 32-33 Explain wedge Motion of Bodies: Wedge 34-35 Discuss crew jack crew-jack 36-37 Discuss differential Differential crew-jack screw jack 38-39 Differentiate belt drives Transmission of Power: Flat Belt Drives - Types of Flat Belt Drives 40-41 Enumerate length of Length of Belt belt 42-43 Explain belt tension tensions, Tight side, lack ide 44-45 Discuss belt tensions Initial and Centrifugal 46-47 Enumerate conditions Power Transmitted and Condition for Max. Power 48-49 Explain centroid UNIT III - Centroid : Introduction centroid of simple figures 50-51 Enumerate centroid Centroids of Composite Figures 52-53 Explain theorems Theorem of Pappus 54-55 Explain centre of Centre of Gravity : Centre of gravity of simple body gravity 56-57 Enumerate CG Centre of gravity of volumes 58-59 Explain Area MI Moment of Inertia : Definition Polar Moment of Inertia Radius of gyration 60-61 Enumerate Area MI Transfer formula for moment of inertia 62-63 Enumerate Area MI Moments of Inertia for Composite areas 64-65 Explain Product of inertia Products of Inertia, Transfer Formula for Product of Inertia Reference 5 P a g e
66-67 Discuss Mass MI Mass Moment of Inertia : Moment of Inertia of Masses 68-69 Enumerate Mass MI Transfer Formula for Mass Moments of Inertia 70-71 Enumerate Mass MI mass moment of inertia of composite bodies 72-73 Discuss Types of UNIT IV - KINEMATIC OF A PARTICLE: Motion of a particle Rectilinear motion 74-75 Discuss Types of Motion curves 76-77 Explain Types of Rectangular components of curvilinear motion 78-79 Explain Types of Kinematics of Rigid Body 80-81 Explain Types of Types of rigid body motion 82-83 Explain Types of Angular motion 84-85 Explain Types of Fixed Axis Rotation 86-87 Discuss body motion Kinetics of particles: Translation -Analysis as a Particle and Analysis as a Rigid Body in Translation 88-89 Enumerate equations Equations of plane motion 90-91 Explain Types of Angular motion 92-93 Explain Types of Fixed Axis Rotation 94-95 Explain Types of Rolling Bodies 96-97 Discuss work energy principle UNIT V - WORK ENERGY METHOD: Work energy Equations for Translation 98-99 Enumerate particle Work-Energy Applications to Particle Motion motion 100-101 Enumerate connected Work energy applied to Connected ystems systems 102-104 Enumerate types of motion Work energy applied to Fixed Axis Rotation and Plane Motion 105-106 Discuss impulse Impulse and momentum momentum equation 107-108 Explain types of Mechanical Vibrations : Definitions and Concepts vibrations 109-110 Discuss types of imple Harmonic Motion vibrations 111-112 Discuss types of Free vibrations vibrations 113-114 Enumerate pendulums simple pendulum 115-116 Enumerate pendulums Compound Pendulums 117-118 Enumerate pendulums Torsion Pendulum 119-120 Discuss general cases Free vibrations without damping: General cases 6 P a g e
XI. Mapping course objectives leading to the achievement of the course outcomes: Course Objectives Programme Outcomes a b c d e f g h i j k l I H H H II H H III H H IV H H V N = None = upportive H = Highly Related XII. Mapping course objectives leading to the achievement of the course outcomes: Course Outcomes Programme Outcomes a b c d e f g h i j k l 1 H H 2 H H 3 H H 4 H H N = None = upportive H = Highly Related Prepared By : Dr.D.Govardhan, Mr.B.D.Y.unil. Date : 13/03/2015. 7 P a g e