Engineering Mechanics

Course Code: 100105

Course Title: Engineering Mechanics

L–T–P–C: 3–1–0–4

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Unit 1.0: Fundamentals of Mechanics – 7 hrs

• Overview of Engineering Mechanics
• Vector and Scalar Quantities
• Units and Dimensions of Physical Quantities
• Dimensional Analysis

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Unit 2.0: Force Systems and Equilibrium – 7 hrs

• Force Systems: Basic Concepts
• Particle Equilibrium in 2D and 3D
• Rigid Body Equilibrium
• System of Forces: Coplanar Concurrent Forces, Components in Space
• Resultant and Moment of Forces, Couples
• Free Body Diagrams
• Equations of Equilibrium for Coplanar and Spatial Systems

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Unit 3.0: Friction and Structural Analysis – 7 hrs

• Types of Friction: Limiting, Static, Dynamic
• Laws of Friction
• Motion of Bodies and Wedge Friction
• Equilibrium in 3D
• Method of Sections and Joints
• Tension and Compression Members
• Simple Trusses, Zero Force Members
• Beams: Types and Analysis
• Frames and Machines

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Unit 4.0: Centroid, Centre of Gravity, and Moment of Inertia – 7 hrs

• Centroid of Simple Figures (First Principle) and Composite Sections
• Centre of Gravity and Applications
• Area Moment of Inertia: Definitions and Theorems
• Moment of Inertia for Plane, Standard and Composite Sections
• Mass Moment of Inertia: Circular Plate, Cylinder, Cone, Sphere, Hook

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Unit 5.0: Virtual Work, Energy Method, and Particle Dynamics – 7 hrs

• Virtual Displacements and Principle of Virtual Work
• Degrees of Freedom, Active Force Diagram
• Conservative Forces and Potential Energy
• Energy Equation for Equilibrium
• Applications of Energy Method
• Stability of Equilibrium
• Review of Particle Dynamics: Rectilinear and Curvilinear Motion
• Relative and Constrained Motion
• Newton’s Second Law
• Work-Energy, Power, Impulse-Momentum, Impact

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Unit 6.0: Kinetics of Rigid Bodies – 7 hrs

• Introduction to Rigid Body Kinetics
• Basic Terms and Dynamics Principles
• Types of Motion
• Instantaneous Centre of Rotation in Plane Motion
• D’Alembert’s Principle and Applications
• Work-Energy Principle in Rigid Body Motion
• Kinetics of Rigid Body Rotation

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Text / Reference Books:

1. R. C. Hibbeler, Engineering Mechanics: Statics and Dynamics, Pearson, 12th Ed.
   ISBN-10: 0-13-814929-1 | ISBN-13: 978-0-13-814929-1
2. J. L. Meriam & L. G. Kraige, Engineering Mechanics: Statics and Dynamics, Wiley, 9th Ed.
   ISBN: 978-1-119-39098-5
3. S. P. Timoshenko, D. H. Young, J. V. Rao & S. Pati, Engineering Mechanics, McGraw-Hill, 5th Ed.
   ISBN-10: 9781259062667
4. A. K. Dhiman, P. Dhiman, D. Kulshreshtha, Engineering Mechanics: Statics and Dynamics, McGraw-Hill
   ISBN-10: 9789339219178