me13a: engineering statics

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ME13A: ENGINEERING STATICSCOURSE INTRODUCTION

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Details of LecturerCourse Lecturer: Dr. E.I. Ekwue Room Number: 216 Main Block, Faculty of Engineering Email: ekwue@eng.uwi.tt , Tel. No. : 662 2002 Extension 3171 Office Hours: 9 a.m. to 12 Noon. (Tue, Wed and Friday)

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COURSE GOALS This course has two specific goals: (i) To introduce students to basic concepts of force, couples and moments in two and three dimensions. (ii) To develop analytical skills relevant to the areas mentioned in (i) above.

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COURSE OBJECTIVESUpon successful completion of this course, students should be able to:   (i) Determine the resultant of coplanar and space force systems. (ii) Determine the centroid and center of mass of plane areas and volumes. (iii) Distinguish between concurrent, coplanar and space force systems (iv) Draw free body diagrams.

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COURSE OBJECTIVES CONTD.(v) Analyze the reactions and pin forces induces in coplanar and space systems using equilibrium equations and free body diagrams. (vi) Determine friction forces and their influence upon the equilibrium of a system. (vii) Apply sound analytical techniques and logical procedures in the solution of engineering problems.

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     Course Content (i)  Introduction, Forces in a plane, Forces in space (ii) Statics of Rigid bodies (iii) Equilibrium of Rigid bodies (2 and 3 dimensions) (iv) Centroids and Centres of gravity (v) Moments of inertia of areas and masses (vi) Analysis of structures (Trusses, Frames and Machines) (vii) Forces in Beams (viii)Friction

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Teaching StrategiesThe course will be taught via Lectures and Tutorial Sessions, the tutorial being designed to complement and enhance both the lectures and the students appreciation of the subject. Course work assignments will be reviewed with the students.

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Course Textbook and Lecture TimesVector Mechanics For Engineers By F.P. Beer and E.R. Johnston (Third Metric Edition), McGraw-Hill. Lectures: Wednesday, 1.00 to 1.50 p.m. Thursday , 10.10 to 11.00 a.m. Tutorials: Monday, 1.00 to 4.00 p.m. [Once in Two Weeks] Attendance at Lectures and Tutorials is Compulsory

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Tutorial Outline

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Time-Table For Tutorials/Labs

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Course Assessment (i) One (1) mid-semester test, 1-hour duration counting for 20% of the total course. (ii) One (1) End-of-semester examination, 2 hours duration counting for 80% of the total course marks.

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ME13A: ENGINEERING STATICSCHAPTER ONE: INTRODUCTION

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1.1 MECHANICSBody of Knowledge which Deals with the Study and Prediction of the State of Rest or Motion of Particles and Bodies under the action of Forces

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PARTS OF MECHANICS

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1.2 STATICS Statics Deals With the Equilibrium of Bodies, That Is Those That Are Either at Rest or Move With a Constant Velocity. Dynamics Is Concerned With the Accelerated Motion of Bodies and Will Be Dealt in the Next Semester.

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ME13A: ENGINEERING STATICSCHAPTER TWO: STATICS OF PARTICLES

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2.1 PARTICLE A particle has a mass but a size that can be neglected. When a body is idealised as a particle, the principles of mechanics reduce to a simplified form, since the geometry of the body will not be concerned in the analysis of the problem.

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PARTICLE CONTINUEDAll the forces acting on a body will be assumed to be applied at the same point, that is the forces are assumed concurrent.

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2.2 FORCE ON A PARTICLEA Force is a Vector quantity and must have Magnitude, Direction and Point of action. FP

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Force on a Particle Contd.Note: Point P is the point of action of force and and are directions. To notify that F is a vector, it is printed in bold as in the text book. Its magnitude is denoted as |F| or simply F.

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Force on a Particle Contd.There can be many forces acting on a particle. The resultant of a system of forces on a particle is the single force which has the same effect as the system of forces. The resultant of two forces can be found using the paralleolegram law.

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2.2.VECTOR OPERATIONS2.3.1 EQUAL VECTORS Two vectors are equal if they are equal in magnitude and act in the same direction. pPQ

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Equal Vectors Contd.Forces equal in Magnitude can act in opposite DirectionsSR

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QPR2.3.2 Vector Addition Using the Paralleologram Law, Construct a Parm. with two Forces as Parts. The resultant of the forces is the diagonal.

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Vector Addition Contd.Triangle Rule: Draw the first Vector. Join the tail of the Second to the head of the First and then join the head of the third to the tail of the first force to get the resultant force, RQP R = Q + P

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Triangle Rule Contd.Also:PQR = P + QQ + P = P + Q. This is the cummutative law of vector addition

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Last Updated: 8th March 2018

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