Syllabus For Applied Mechanics(CTEVT)

Applied Mechanics 

EG 2102 CE

 Year: II Semester: I 

 Total: 6 hours /week

 Lecture: 3 hours/week Tutorial: 2 hours/week 

 Practical: hours/week Lab: 2/2 hours/week 

 Course description: This course focuses on analysis and effect of various types of forces on the particle and body at rest. Course objectives: After the completion of this course, students will be able to: 

1. Understand the concept of particle and rigid body and application of equations of static equilibrium; 

2. Describe the different types of forces that may act on the body and analysis of typical problems; 

3. Be familiar with the frictional force on the body and analysis of typical problems; 

4. Be familiar with the distributed forces (Centre of gravity, Centroid, and Moment of Inertia) and calculation and 

5. Know about the structure (beam and truss), their supports, loads and analysis of them. 

 Course Contents: 

Theory 

Unit 1 Introduction: [4 Hours] 

1.1 Definition and scope of Applied Mechanics 

1.2 Concept of Particle, Rigid Body, Deformed Body, Free Body Diagram and Equilibrium of particle and Rigid Body 

1.3 Equations of Static Equilibrium: Two and Three Dimensional analysis of Particle, Two Dimensional analysis of Rigid Body 

Unit 2 Forces acting on Particle and Rigid Body: [9 Hours] 

 2.1 Different types Forces: Internal, External, Translational, Rotational, Coplanar, Non-Coplanar, Concurrent, Non-Concurrent, Like Parallel and Unlike Parallel 

 2.2 Resolution and Composition of Forces 

 2.3 Principle of Transmissibility and Equivalent Forces 

 2.4 Moments and Couples 

 2.5 Varignon’s Theorem 

 2.6 Resolution of a Force in to a Force and a Couple 

 2.7 State and Prove: Triangle Law of Forces, Parallelogram law of Forces Polygon Law of Forces and Lami’s Theorem  

Unit 3 Friction: [5 Hours] 

 3.1 Friction: Definition, Causes, Advantages, Disadvantages and Types 

 3.2 Laws of Dry Friction 

 3.3 Static and Dynamic Friction and Their Coefficients 

 3.4 Angle of Friction 

3.5 Different status (No Friction, Certain Friction, Impending Motion and Motion) 

 3.6 Sliding and Tipping Condition of the Body 

Unit 4 Centre of Gravity and Centroid: [6 Hours] 

 4.1 Concept of Centre of Gravity, Centroid, Axis of Symmetry 

 4.2 Centroid of Composite lines (straight line, arc, semicircle and quarter circle) 

 4.3 Centroid of Composite Area (Rectangle, Triangle, Circle / Semi-circle / Quarter circle / Circular sector, Parabola / Semi-parabola and Ellipse) 

 4.4 Centroid of Area under curve by the method of Integration 

Unit 5 Moment of Inertia: [6 Hours] 

 5.1 First Moment and Second Moment of Area 

 5.2 Axial and Polar Moment of Inertia 

 5.3 Moment of Inertia of Regular Areas (Rectangle, Triangle, Circle and Ellipse) about their Centroidal axes 

 5.4 Perpendicular and Parallel axis Theorem for Moment of Inertia 

 5.5 Moment of Inertia of Composite Area 

 5.6 Radius of Gyration 

Unit 6 Structures: [5 Hours] 

 6.1 Structure and Mechanism 

 6.2 Plane and Space Structures 

 6.3 Different types of Load and Support in the Structures 

 6.4 External and Internal forces (Axial Force, Shear Force, and Bending Moment) in the Structural Members 

 6.5 Relationship between Load, Shear Force and Bending Moment 

 6.6 Determinacy and Stability (Statically and Geometrically) of the Structures 

Unit 7 Analysis of Statically Determinate Beam: [5 Hours] 

 7.1 Definition and Types of Beam 

 7.2 Calculation of Support Reactions and Internal Forces (i.e. Axial Force, Shear Force and Bending Moment) of the Beam  

7.3 Draw Axial Force, Shear Force and Bending Moment Diagrams of the Beam 

Unit 8 Analysis of Statically Determinate Plane Truss : [5 Hours] 

 8.1 Definition, uses and Types of Truss 

 8.2 Calculation of Member Force by the Method of Joints 

 8.3 Calculation of Member Force by the Method of Sections  

Practical (Laboratory) [15 Hours] 

1. Verify Triangle law of forces, Parallelogram law of forces and Lami’s theorem 

2. Verify Principle of Moments 

3. Determine Centroid of Plane Figures (Rectangle, Triangles, Circle and Ellipse) 

4. Determine Moment of Inertia by Flywheel 

5. Determine Support Reactions of Simply Supported and Cantilever Beam with different types of Loading 

6. Determine Support Reactions and Member Force of Simply supported Truss