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Pokhara
University Faculty of
Science and Technology |
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Course Code: MEC 150 (4 Credit) |
Full Marks: 100 |
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Course Title: Applied Mechanics (4-2-0) |
Pass Mark: 45 |
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Nature of the Course: Theory and Tutorial |
Total Lectures: 60 hours |
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Level: Bachelor/ Year: I/ Semester: II |
Program: BE |
1. Course
Description
The applied mechanics course is designed for engineering students to provide the theoretical knowledge and solving methods of practical engineering problems related to statics and dynamics (kinematics and kinetics) of particles and rigid body mechanics.
2. General
Objectives
· To provide basic knowledge of Newtonian mechanics and mechanical equilibrium of different system of forces
· To provide basic concepts and application of static and dynamic equilibrium equations to solve engineering mechanics problem
· To provide the basic knowledge of principles and applications of kinematics, kinetics and mechanical vibration to solve simple structural engineering problems
3. Methods of
Instruction
Lecture, tutorial and discussion
4. Contents in
Detail
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Specific Objectives |
Contents |
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Give the concept of statics and dynamics, and fundamental concepts of
engineering mechanics. Give introduction to coordinate system and vector
algebra |
Unit 1: Introduction (3hours) 1.1 Definition and scope
of Applied Mechanics 1.2 Concept of
Statics and Dynamics 1.3 Concept of
Particle 1.4 Concept of
Rigid, Deformed and Fluid Bodies 1.5 Fundamental Concepts and Principles
of Mechanics: Newtonian Mechanics 1.6Review of
Coordinate System, Vector algebra and solving steps of Applied Mechanics
problems Click here for notes of this chapter |
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Explainforces acting on particles and rigid body in order to solve
problems related to forces acting with relevant civil engineering examples.
Apply concept of static equilibrium for solving problems in applied mechanics |
Unit 2: Forces, Moments
and Static Equilibrium (10hours) 2.1 Types of Forces:
External, Internal and Reaction Forces,Point Force, Translational and Rotational Force- Relevant
Examples 2.2 Resolution and Composition
of Forces- Relevant Examples 2.3 Basic Concept of
Static Equilibriumand its essence in structuralapplication in civil
engineering-Relevant Examples 2.4 Free Body
Diagram- Relevant Examples 2.5Equation of
Equilibrium in Two/Three Dimensions 2.6 Principle of
Transmissibility and Equivalent Forces-
Relevant Examples 2.7Friction Forces:
Concept of Static and Dynamic Friction with relevant examples 2.8Moments and
Couples: Moment of a Force about a point and an axis, theory of couples-
Relevant Examples 2.9 Resolution of a Force
into Forces and a Couple- Relevant Examples 2.10 Resultant of Force
and Moment for a System of Force: Examples |
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Explain the concept of centre of gravity, centroid and moment of
inertia acting on various geometries, and their application in civil
engineering. |
Unit 3: Centre
of Gravity, Centroid and Moment of Inertia (6 hours) 3.1 Concept and
Calculation of Centre of Gravity and Centroid of Line/Area 3.2 Concept and Calculation
of Second Moment of Area/ Moment of Inertia and Radius of Gyration- 3.3 Use of parallel axis
theorem for different types of lamina: Relevant Examples. |
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Explain the concept of statically determinate beam and plane truss,able
to draw Axial force, Shear force and Bending moment diagram due to various
loadings in beam. Determine the axial forces in members of plane truss. |
Unit 4: Analysis of Beam and Plane Truss(9 hours) 4.1 Introduction to beam and
truss 4.2 Types of supports,
loads and standard symbols 4.3 Types of beams based
on support condition and determinancy 4.4 Relationship between load, shear force and bending moment 4.5 Calculation of Axial
Force, Shear Force and Bending Momentfor statically determinate beams 4.6 Drawing of Axial Force
Diagram, Shear Force Diagram and Bending Moment Diagram for determinate beams
with relevant examples 4.7 Analysis of member force for determinate truss by method of
joints 4.8 Analysis of member
force for determinate truss by method of sections |
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Explain concept of kinematics of particles and rigid body with numerical
examples of various geometric motion |
Unit 5: Kinematics of Particles and Rigid body (8hours) 5.1 Rectilinear Kinematics: Continuous Motion 5.2 Position, Velocity and
Acceleration of a Particle and Rigid body 5.3 Determination of Motion of Particle and Rigid body 5.4 Uniform Rectilinear Motion of a Particles 5.5 Uniformly Accelerated
Rectilinear Motions of Particles 5.6 Curvilinear Motion of a Particle 5.7Rectangular Components
of velocity and Acceleration 5.8Introduction of Tangential and Normal Components of acceleration 5.9Introduction of Radial and Transverse Components of velocity and
acceleration 5.10Kinematics of Rigid Bodies (Rotational Motion only) |
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Explain concept of kinetics of particles with numerical examples of
various forces with Newton’s Second law of
motion |
Unit 6: Kinetics of Particles: Force and Acceleration
(6 hours) 6.1 Newton’s Second Law of Motion 6.2 Equation of Motion and Dynamic Equilibrium, D’Alembert’sprinciple:
Relevant Examples 6.3 Equation of Motion- Rectilinear and Curvilinear 6.5 Equation of Motion: Rectangular Components, Tangential and Normal
Components, Radial and Transverse Components 6.6 Equation of motion for Dependent Motion of particles |
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Explain the concept of Energy
and Momentum Methodsto calculatework done, energy and momentum. Explain the
principles of work, energy and momentum with relevant examples. |
Unit 7: Energy and Momentum
Methods of Particles(8hours) 7.1Work done by Spring and Gravity 7.2 Work done by a Force 7.3 Kinetic and Potential
Energy 7.4 Principle of Work and
Energy Applications 7.5 Power and Efficiency 7.6 Conservation of Energy 7.7 Linear and Angular
Momentum: Rate of Change and Conservation 7.8 Principle of Impulse
and Momentum 7.9 Impulsive Motion and
Impact, Types of Impact 7.10 Direct Central and
Oblique Impact Click here for the notes of this chapter |
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Explain the concept of Newton’s second law of motion for system of
particles. Apply various principles of energy and momentumwith relevant
examples for system of particles. |
Unit 8: Systems of Particles (6hours) 8.1 Newton's Second Law
and Systems of Particles 8.2 Linear and Angular Momentum of a System of
Particles 8.3 Equations of Motion, Motion due to Central
Force and Dynamic Equilibrium 8.4 Conservation of
Momentum 8.5 Kinetic and Potential Energy of a System of
Particles 8.6 Conservation of Energy
of a System of Particles 8.7 Principle of Impulse and Momentum of a
System of Particle |
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Explain the concept of Mechanical Vibration and its application in
civil engineering with relevant examples |
Unit 9: Mechanical Vibration in Structures(4hours) 9.1 Introduction to Mechanical
Vibration and types 9.2 Simple harmonic motion 9.3 Application of mechanical vibration in civil engineering 9.4 Undammedand damped free vibration with relevant examples |
5. List of Tutorials
Following subtopics within the chapter must be included for tutorials
Chapter 2:Parallelogram law, Sine law, resolution of force into components, resolution of force into rectangular components, resultant of forces (2D, 3D), free body diagram, condition for equilibrium of particle and rigid body (2D, 3D), moment due to force (2D, 3D) about a point/line, couple, equivalent force couple system, static and kinetic friction, limiting friction
Chapter 3:Centroid of area by the First Principle, centroid of composite area, Moment of inertia of area by the First Principle, Moment of inertia composite area, application of parallel axis theorem,
Chapter 4: Axial force, shear force and bending moment diagram of beam (Simply supported, overhanging and cantilever) involving point load, UDL, UVL and couple moment. Location of zero shear point and point of contraflexure. Member force of truss using joint method and section method. Zero force member.
Chapter 5: Various equation of motion involving position, velocity, acceleration and time for rectilinear motion, Projectile motion, Normal and tangential components of acceleration, Radial and tangential components of velocity and acceleration.
Chapter 6: Application of Newton’s Second law of motion for a single object, dependent objects, normal and tangential components
Chapter 7: Application of Principle of work energy involving word due to gravity, friction and linear spring. Application of Conservation of Energy, Application of Principle of Impulse and Momentum, conservation of momentum, direct and oblique impact
Chapter 8: Mass centre of system of particles, linear momentum, angular momentum about origin and angular momentum about mass centre of system of particles. Conservation of momentum for system of particles. Kinetic energy of system of particles
Chapter 9: Undamped free vibration involving combination of springs and block
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6. Evaluation System and Students’
Responsibilities |
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Evaluation System The internal evaluation of a student may consist of assignments, attendance, term-exams etc. The tabular presentation of the internal evaluation is as follows: |
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Internal Evaluation |
Weight |
Marks |
External Evaluation |
Marks |
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Theory |
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50 |
Semester End |
50 |
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Attendance &Class Participation |
10% |
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Assignments |
20% |
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Presentations/Quizzes |
10% |
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Internal Assessment |
60% |
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Total Internal |
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50 |
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Full Marks: 50 + 50 = 100 |
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Students’ Responsibilities |
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Each student must secure at least 45% marks separately in internal
assessment with 80% attendance in the class in order to appear in the
Semester End Examination. Failing to get such score will be given NOT
QUALIFIED (NQ) to appear the Semester-End Examinations. Students are advised
to attend all the classes, formal exam, test, etc. and complete all the
assignments within the specified time period. Students are required to
complete all the requirements defined for the completion of the course. |
F. P.Beer and E. R. JohnstonJr.: Mechanics of Engineers - Statics and Dynamics, Latest Edition, McGraw-Hill Book
8. References
Books
R. Hibbeler: Engineering Mechanics: Statics and Dynamics, Fourteenth Edition, Pearson, 2015
J.L. Meriam and L.G. Kraige: Engineering
Mechanics Statics and Dynamics. Latest edition
I.C.
Jong and B.G. Rogers: Engineering Mechanics - Statics and Dynamics,
International Student Edition, Oxford
University Press, Incorporated, 1995
D.K. AnandEngineering Mechanics - Statics and Dynamics, Third Printing
Edition, Pearson College Div;
third printing edition, 1961
R.L. Finney and G.B. Thomas: Calculus and Analytic Geometry, Sixth Edition, Narosa Publishing House, 1998
E.W. Swokowski: Calculus and Analytic Geometry, Second Edition, Prindle, Weber and Schmidt, 1979
C.J. Eliezer: Concise Vector Analysis, Illustrated Edition, Dover Publications, 2015
G. Boothroyd and C. Poll: Applied Engineering Mechanic - Statics and Dynamics, First Edition, CRC Press, 1980
v Remarks and Recommendations:
1. The syllabus is for BE (Civil) and BE (Civil and Rural) programmes. The chapters allocated shall be for ‘Mechanics of Rigid Body and Particles’.
2. The course is to be taught in second semester considering that ‘Applied Physics’ will be taught in first semester and ‘Strength of Materials’ will be taught in third semester.
3. The chapters of the course should be tallied/checked with the chapter contents of Applied Physics, Mathematics and Strength of Materials for repetitions, if any,occur or not.
4. Model Question of the examination should be prepared to address the requirements of the evaluation as per expected outcome of the course.
5. Text books and reference books of the course should be from the latest edition.
6. The course of Applied Mechanics in previous syllabus which has been teaching in two sequential semesters of BCE/BCREas ‘Applied Mechanics I’ and ‘Applied Mechanics II’ should be well reviewed for its application performance effect by concerned authority before approving the current syllabus.
7. Official cluster wise review and strategicworkshop and discussions among faculties under various disciplinary areas of engineering such as: Civil General (Building, Surveying, Estimating and Costing etc.); Transportation Engineering; Structures and Earthquake; Environment,Disaster Engineering;Water Resources, Hydrology and Hydropower; Geotechnical; Project Engineering and Management; Professional Ethics; Engineering Drawing, Architecture; Physics, Chemistry,Engineering, Humanities and Social Sciences (English); Mathematics and Statistics; Mechanical, Electrical; Electronics; Computer; Software; Information Technology and Programming etc.should be conducted for preparation of new course structure.
8. Semester wise total credit should be almost equal to facilitate teaching load allocation properly and rationally in schools and colleges. For example: If the total credit of 8 semester is 120; then manage to allocate the credit in each semester as 120/8= 15 (± 1, is considerable)
9.
The course structure ladder from
first semester to eighth semester should be allocated from introductory courses
to higher core courses in each cluster area.
babal
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