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1. ENGINEERING MECHANICS 1 ENGINEERING MECHANICS I

2. ENGINEERING MECHANICS 2 Course Number CEng1041 Course Title Engineering Mechanics I (Statics) Degree Program B.Sc . Electrical Eng. Content Chapter 1: Scalars and Vectors 1.1 Introduction 1.2 Scalars and Vectors 1.3 Operation with Vectors  Vector Addition or Composition  Vector Multiplication: Dot & Cross   Chapter 2: Force Systems 2.1 Introduction I. Two-Dimensional Force Systems 2.2 Rectangular Resolution of Forces 2.3 Moment and Couple 2.4 Resultants of general coplanar force systems II. Three-Dimensional Force Systems 2.5 Rectangular Components 2.6 Moment and Couple 2.7 Resultants     Chapter 3: Equilibrium 3.1 Introduction  I. Equilibrium in Two Dimensions 3.2 System Isolation 3.3 Equilibrium Conditions   II. Equilibrium in Three Dimensions 3.4 System Isolation 3.5 Equilibrium Conditions

3. ENGINEERING MECHANICS 3 Chapter 4: Analysis of simple Structures 4.1 Introduction 4.2 Plane Trusses 4.2.1 Method of Joints 4.2.2 Method of Sections 4.3 Frames and Simple Machines Chapter 5: Centroids 5.1 Introduction, 5.2 Center of gravity 5.3 Centroids of lines, Areas, and Volumes 5.4 Centroids of composite bodies 5.5 Determination of centroid by integrations Chapter 6: Area Moments of Inertia 6.1 Introduction to area moments of inertia 6.2 Moment of inertia of plane areas and curves 6.3 Moments of inertia of Composite areas 6.4 Products of Inertia and Rotation of Axes Chapter 7: Friction

4. ENGINEERING MECHANICS 4 1. Meriam, J.L. and Kraige , L.G., Engineering mechanics, 7th ed 2. Meriam, J.L. and Kraige , L.G., Engineering mechanics, 6th ed 3. Engineering Mechanics: Statics & Dynamics by Anthony M. Bedford, Wallace Fowler, Prentice Hall; 5 edition (July 2007) 4. Engineering Mechanics: Statics by Russell C. Hibbeler , Prentice Hall; 12 edition (January 7, 2009)   Evaluation & Grading System Tests………………………….….….….30% Assignment….………………….……20% Final Exam …………………………..50% Lecturer Hana M.(MSc. In structural engineering )

5. ENGINEERING MECHANICS 5 CHAPTER ONE 1. VECTORS and SCALARS

6. ENGINEERING MECHANICS 6 Introduction Mechanics is a physical science which deals with the state of rest or motion of bodies under the action of forces. It is divided into three parts: mechanics of rigid bodies, mechanics of deformable bodies, and mechanics of fluids. Mechanics of rigid bodies is divided into two parts: Statics and Dynamics.

7. ENGINEERING MECHANICS 7 Statics: deals with the equilibrium of rigid bodies under the action of forces. Dynamics: deals with the motion of rigid bodies caused by unbalanced force acting on them. Dynamics is further subdivided into two parts:  Kinematics: dealing with geometry of motion of bodies with out reference to the forces causing the motion , and  Kinetics: deals with motion of bodies in relation to the forces causing the motion.

8. ENGINEERING MECHANICS 8 basic concept used in mechanics. Space, Time, Mass, Force, Particle and Rigid body Space - s the geometric region occupied by bodies whose positions are described by linear and angular measurements relative to a coordinate system. Time- is the measure of the succession of events and is a basic quantity in dynamics.

9. ENGINEERING MECHANICS 9 Mass- is a measure of the inertia of a body, which is its resistance to a change of velocity. Mass can also be thought of as the quantity of matter in a body. Force- Is the action of one body on another. A force tends to move a body in the direction of its action. The action of a force is characterized by its magnitude, direction, point of application

10. ENGINEERING MECHANICS 10 Particle - Is a body of negligible dimension. we may analyze it as a mass concentrated at a point. often choose a particle as a differential element of a body. Rigid body- . A body is considered rigid when the change in distance between any two of its points is negligible body consisting of a non-deformable material (no displacement under the action of forces)

11. ENGINEERING MECHANICS 11 Fundamental Principles Newton’s Laws 1 st Law: A particle remains at rest or continues to move with constant velocity if the resultant force acting on it is zero. 2 nd Law: The acceleration of a particle is proportional to the resultant force acting on it (magnitude and direction). F = ma

12. ENGINEERING MECHANICS 12 3 rd Law: The forces of action and reaction between bodies in contact are equal in magnitude, opposite in direction and collinear (same line of action). Law of Gravitation : Two particles of mass m1 and m2 are mutually attracted with equal and opposite forces F and F’ of magnitude F.

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14. ENGINEERING MECHANICS 14 Scalars and Vectors definition and properties Scalars: quantities described by their magnitude alone e.g. time, volume, area, density, distance, energy mass Vectors: quantities described by their magnitude and direction e.g. displacement, velocity, force, acceleration, momentum

15. ENGINEERING MECHANICS 15 Graphical representation of a Vector -line segment of certain length (magnitude) and orientation (θ) - arrowhead indicating direction

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23. ENGINEERING MECHANICS 23 1.Free Vector: action in space not associated with a unique line e.g. uniform displacement of a body 2.Sliding Vector: action in space described by a unique line e.g. action of force on rigid body

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25. ENGINEERING MECHANICS 25 Properties of vectors Equality of vectors: Two free vectors are said to be equal if and only if they have the same magnitude and direction. The Negative of a vector: is a vector which has equal magnitude to a given vector but opposite in direction . Null vector: is a vector of zero magnitude . A null vector has an arbitrary direction. Unit vector: is any vector whose magnitude is unity.

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27. ENGINEERING MECHANICS 27 Vector Addition – graphical method the parallelogram law – resultant force Two forces maybe replaced by a single force (resultant) obtained by drawing the diagonal of the parallelogram having sides equal to the given forces.

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43. 43 Thanks !!!