Course

Core - Applied Mechanics

Indian Institute of Technology Delhi

Core - Applied Mechanics is a comprehensive course designed to introduce students to the principles of mechanics that are essential for engineering applications. The course is structured into 16 modules, each focusing on specific topics that build a solid foundation in applied mechanics.

Key topics covered in this course include:

  • Preliminary concepts of mechanics.
  • Vector analysis for understanding forces.
  • Structural mechanics that delve into the behavior of structures under various loads.
  • Friction and its applications in real-world scenarios.
  • Properties of surfaces and their effects on mechanical interactions.
  • Methods of virtual work and potential energy.
  • Stability of equilibrium to ensure safety in engineering designs.

By the end of this course, students will be equipped with the analytical skills necessary to solve complex engineering problems and design effective solutions. The blend of theoretical understanding and practical application prepares learners for advanced studies or professional practice in engineering fields.

Course Lectures
  • Lec-1 Preliminary Concepts
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module introduces students to the foundational concepts of mechanics, covering essential definitions and principles that form the basis for further study. Key topics include:

    • Basic definitions of force, mass, and acceleration.
    • The role of mechanics in engineering applications.
    • Different types of forces and their characteristics.

    Understanding these preliminary concepts is crucial for grasping more complex topics in applied mechanics.

  • Lec-2 Vector Analysis
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module focuses on vector analysis, a critical tool for understanding forces in applied mechanics. Students will learn about:

    • Vector representation of quantities.
    • Operations on vectors, including addition and scalar multiplication.
    • Applications of vectors in mechanics problems.

    By mastering vector analysis, students will be able to accurately describe the direction and magnitude of forces acting on objects.

  • Lec-3 Analysis of Forces
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    In this module, students will analyze forces acting on various bodies. The focus will be on:

    • Identifying different types of forces including contact and non-contact forces.
    • Understanding free-body diagrams and their significance.
    • Calculating resultant forces and their effects on motion.

    This analysis is crucial for solving real-world engineering problems efficiently.

  • Lec-4 Analysis of Equilibrium
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module delves into the analysis of equilibrium, where students will learn to determine the conditions under which a body remains at rest or in uniform motion. The key aspects include:

    • Understanding the equilibrium of forces and moments.
    • Types of equilibrium: static and dynamic.
    • Application of equilibrium principles in engineering structures.

    These principles are vital for ensuring the stability and safety of structures.

  • Lec-5 Structural Mechanics-Part-1
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module introduces structural mechanics, focusing on how structures respond to various loads. It covers:

    • Types of structural elements and their functions.
    • Load types: axial, shear, and bending.
    • Analysis of internal forces and moments in structures.

    Students will gain insights into the design and analysis of safe and effective structures.

  • Lec-6 Structural Mechanics-Part-2
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This second part of the structural mechanics module expands on the concepts introduced earlier, emphasizing advanced analysis techniques. Students will learn about:

    • Complex load combinations and their effects.
    • Applications of computational methods in structural analysis.
    • Design principles for different materials and structures.

    This knowledge is essential for tackling real-world engineering challenges.

  • Lec-7 Friction and its Applications-Part-1
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module examines friction and its applications in mechanics, focusing on how frictional forces affect motion and stability. Topics include:

    • Types of friction: static, kinetic, and rolling.
    • Factors influencing frictional forces.
    • Applications of friction in real-world scenarios.

    Understanding friction is crucial for designing safe and efficient mechanical systems.

  • Lec-8 Friction and its Applications-Part-2
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module continues exploring friction, focusing on its applications across various fields. Students will learn about:

    • Friction in machinery and its impact on performance.
    • Frictional forces in natural systems.
    • Methods to reduce friction for improved efficiency.

    Students will gain insights into improving mechanical designs through effective management of friction.

  • Lec-9 Friction and its Applications-Part-3
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module wraps up the study of friction with a focus on advanced applications. Key topics include:

    • Friction in engineering design and safety considerations.
    • Case studies demonstrating successful friction management.
    • Future trends in friction research and technology.

    Students will be prepared to apply their knowledge to real-world engineering problems, ensuring safe and efficient designs.

  • Lec-10 Properties of Surfaces-Part-1
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module focuses on the properties of surfaces and how they influence mechanical interactions. Students will explore:

    • Surface roughness and its effect on friction.
    • Material properties and their impact on performance.
    • Surface treatments and their engineering applications.

    Understanding surface properties is crucial for optimizing mechanical designs and enhancing performance.

  • Lec-11 Properties of Surfaces-Part-2
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This second part of the properties of surfaces module delves deeper into advanced concepts, including:

    • Analysis of surface interactions at the micro and nano levels.
    • Impact of temperature and environment on surface behavior.
    • Innovative materials and coatings for enhanced performance.

    Students will learn to apply this knowledge to create better mechanical systems.

  • Lec-12 Properties of Surfaces-Part-3
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module concludes the study of surface properties by focusing on practical applications. Key topics include:

    • Case studies demonstrating the importance of surface properties in engineering.
    • Techniques for measuring surface characteristics.
    • Future directions in surface engineering research.

    Students will be prepared to implement surface property knowledge in their engineering designs.

  • Lec-13 Moments and Products of Inertia
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module explores moments and products of inertia, critical concepts in applied mechanics. The focus will be on:

    • Definition and significance of moments of inertia.
    • Calculation methods for different geometries.
    • Applications in analyzing rotational motion.

    Understanding these concepts is essential for engineering designs involving rotational dynamics.

  • Lec-14 Methods of Virtual Work and Potential Energy-Part-1
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module introduces methods of virtual work and potential energy, focusing on their applications in mechanics. Key topics include:

    • Principles of virtual work and energy conservation.
    • Applications in solving equilibrium problems.
    • Case studies demonstrating practical applications.

    Students will learn to apply these methods to analyze mechanical systems effectively.

  • Lec-15 Methods of Virtual Work and Potential Energy-Part-2
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This second part of the methods of virtual work and potential energy module continues to explore advanced applications, covering:

    • Complex systems and their analysis using virtual work.
    • Energy methods in structural analysis.
    • Optimization of mechanical systems through these techniques.

    Students will be equipped to tackle intricate engineering challenges using these methods.

  • Lec-16 Stability of Equilibrium
    Prof. Sanjeev Sanghi, Prof. R.K. Mittal

    This module addresses the stability of equilibrium, a vital concept in mechanics. Students will cover:

    • Criteria for stability in mechanical systems.
    • Types of equilibrium: stable, unstable, and neutral.
    • Applications in engineering design and analysis.

    Understanding stability is crucial for ensuring safe and effective engineering solutions.