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ENGINEERING MECHANICS

by Engineering KingsEngineering Kings
Type: NoteInstitute: ANNA UNIVERISTY Offline Downloads: 101Views: 2550Uploaded: 3 months ago

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Engineering Kings
Engineering Kings
TABLE OF CONTENTS SI.No. Topic Page No. UNIT I BASICS AND STATICS OF PARTICLES 1.1 Introduction to Mechanics 4 Mechanics 4 Laws of Mechanics 5 1.2.1 Newton’s law 5 1.2.2 Lami’s theorem 5 1.2.3 Parallelogram Law of forces 7 1.2.4 Law of Triangle of Forces 10 1.2.5 11 1.2.6 Vectorial representation of forces How Forces Are Represented 1.2.7 Addition of Forces 12 1.2.8 Dot Product 13 1.2.9 13 1.2.10 Resultant of Three Force Vectors Equation of equilibrium 1.2.11 Forces in Space 16 1.2.12 16 1.2.13 Equilibrium of a particle in space The principle of transmissibility 1.2.14 Single Equivalent Force 17 1.1.1 1.2 11 14 17
UNIT II EQUILIBRIUM OF RIGID BODIES 2.1 Free body Diagram 18 18 2.2.1 Forces and couples on a freebody diagram Types of supports and their reactions Roller Supports 2.2.2 Hinge Supports 19 2.2.3 Fixed Support 20 2.2.4 Pinned Supports 21 2.2.5 Internal Hinge 21 Moments 22 2.3.1 Moment about a point 22 2.3.2 Direction of moment of a force 23 2.3.3 Clock Wise And Anti Clock Wise Moments 23 2.3.4 Unit of moment 24 25 2.5 Principle of Moment/ Varignon’s Theorem Couple 2.5.1 Application of Couple 27 2.5.2 Couple Arm 27 2.5.3 27 2.5.4 Moment of couple or couple moment Direction of couple 2.5.5 Classification of Couple 27 2.1.1 2.2 2.3 2.4 18 19 26 27
3.1 3.2 UNIT III PROPERTIES OF SURFACES AND SOLIDS Centroid and Areas 29 Centre of Gravity 29 3.2.1 Centroid 29 3.2.2 Axis of Reference 29 3.3 Methods For Centre of Gravity of Simple Figures 29 3.4 Center of Gravity by Geometrical Considerations 30 3.5 Centre of Gravity By Moments 31 3.6 Centre Of Gravity Of Solid Bodies 32 3.7 Centre of Gravity of Sections with Cut Out Holes 33 3.8 Moment of Inertia 33 3.9 Parallel Axis Theorem 34 4.1 UNIT IV DYNAMICS OF PARTICLES Displacement 35 4.2 Angular Displacement 35 4.3 Angular Velocity 35 4.4 Angular Acceleration 35 4.5 Rectilinear motion 36 4.6 Curvilinear motion 36 4.7 Impulse and momentum 36 4.8 Newton’s law of motion 36 4.9 work energy Equation 37
UNIT V FRICTION AND ELEMENTS OF RIGID BODY DYNAMICS 5.1 Friction 39 Explanation 39 Types of Friction 39 5.2.1 Static Friction 40 5.2.2 Dynamic Friction 40 5.3 Limiting Friction 40 5.4 Normal Reaction 41 5.5 Co Efficient of Friction 41 5.6 Laws of Friction 41 5.6.1 Laws of Static Friction 41 5.6.2 Laws of Dynamic Friction 42 5.1.1 5.2

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