This module focuses on the plane kinetics of rigid bodies, covering kinetics of a system of particles and the derivation of the moment equation. Students will study translation, fixed axis rotation, and general planar motion. The module includes practical examples and exercises to deepen understanding of rigid body dynamics, preparing students for advanced topics in mechanical engineering.
Understanding the fundamentals of Engineering Mechanics is crucial as it lays the groundwork for further studies in the field. This module delves into the basic principles and concepts such as vector algebra, Newton's laws, gravitation, force, and moment. It emphasizes the importance of static equilibrium and the creation of free body diagrams. Students will learn how to analyze forces and reactions in both 2-D and 3-D statics, covering topics like two and three force members, and static determinacy. The module also introduces alternate equilibrium equations and constraints.
This module covers the essential concepts of equilibrium equations in Engineering Mechanics. Students will explore how to apply these equations to solve statics problems involving various systems. Topics include the analysis of concurrent and non-concurrent coplanar forces, understanding reactions, and employing free body diagrams. The course emphasizes practical problem-solving skills, enabling students to approach real-world engineering challenges with confidence. By the end of this module, learners will have a solid grasp of static determinacy and constraints.
Trusses are fundamental elements in structural engineering, and this module introduces students to their analysis. It begins with the assumptions made in truss analysis, distinguishing between rigid and non-rigid trusses. The module focuses on simple trusses, both plane and space, and teaches the method of joints for analysis. This systematic approach allows students to understand the distribution of forces within a truss structure, providing a foundation for more complex structural analysis.
This module continues the exploration of truss analysis, introducing more advanced techniques such as the method of sections. Students will learn to analyze compound trusses that are statically determinate, rigid, and completely constrained. The course provides detailed examples and exercises to solidify understanding, preparing students for real-world engineering applications where truss analysis is required.
In this module, students will delve into the analysis of frames and machines, which are crucial for various engineering applications. The course covers the methods used to analyze the forces and moments acting on different types of frames and machines. Through practical examples and exercises, learners will gain a comprehensive understanding of how these structures operate under various loads and constraints, equipping them with the skills needed to address complex engineering challenges.
Internal forces within structures are a key focus of this module. Students will explore different types of internal forces, including shear force, bending moment, and axial force. The course provides a detailed examination of how these forces interact within beams of varying support and load conditions. By constructing shear force and bending moment diagrams, learners will develop a strong foundation in analyzing internal structural behavior, an essential skill for engineers.
This module continues the study of internal forces in beams, providing deeper insights into shear force and bending moment diagrams. Students will learn how to derive equations that relate these internal forces to external loads. The course emphasizes practical application through problem-solving exercises, enabling students to effectively analyze and design beam structures in engineering projects.
Understanding the behavior of cables in engineering is crucial, and this module provides a comprehensive overview. Students will learn about the assumptions involved in cable analysis and explore both parabolic and catenary cable models. The course covers practical applications of these models, emphasizing their role in the design of structures such as bridges and power lines. Through detailed examples, learners will grasp how cables support and distribute loads in engineering systems.
This module introduces students to the fundamental concepts of friction, focusing on Coulomb's dry friction laws. Learners will explore simple surface contact problems and understand friction angles and types. The course also covers practical applications such as problems involving wedges, providing a solid foundation in the principles of friction and how they affect mechanical systems.
This module expands on the applications of friction, focusing on disk friction, belt friction (including flat and V belts), and square-threaded screws. Students will gain insights into the mechanics of these systems, learning about concepts such as self-locking and screw jacks. Through detailed analysis and problem-solving exercises, learners will develop a deeper understanding of how friction influences various mechanical components and systems.
Continuing with the theme of friction, this module addresses journal bearings and axle friction, as well as wheel friction and rolling resistance. The course provides a detailed exploration of these concepts, emphasizing their significance in the design and operation of mechanical systems. Students will engage in practical exercises to apply their knowledge, gaining proficiency in analyzing and mitigating friction-related challenges in engineering projects.
This module introduces the concept of centroids and center of mass, essential for understanding the distribution of mass in engineering systems. Students will learn to calculate the first moment of mass and determine centroids for lines, areas, and volumes. The course also covers composite bodies, providing a comprehensive overview of how mass distribution affects the behavior of structures and mechanical systems.
Building on previous concepts, this module delves into area moments of inertia and products of inertia. Students will learn to calculate the radius of gyration and understand the transfer of axes for composite areas. The course introduces the rotation of axes and principal area moments of inertia, providing a detailed exploration of Mohr's circle and its applications in engineering mechanics.
This module introduces the concept of mass moment of inertia, focusing on the second moment of mass. Students will explore mass moments and products of inertia, learning about the radius of gyration and the transfer of axes. The course also covers flat plates and the relationship between area and mass moments of inertia. By understanding these principles, learners will gain insights into the rotational behavior of mechanical systems.
This module builds on the concept of mass moments, focusing on the rotation of axes and principal mass moments of inertia. Students will explore how these principles apply to engineering systems, learning to analyze and optimize structures for rotational stability and performance. Through practical examples and exercises, learners will develop the skills needed to effectively design and assess mechanical systems.
This module introduces the principle of virtual work, a powerful tool in the analysis of mechanical systems. Students will explore virtual displacements and degrees of freedom, learning how the principle applies to particles and ideal systems of rigid bodies. The course provides a detailed exploration of active force diagrams and systems with friction, emphasizing mechanical efficiency and problem-solving techniques.
Building on the previous module, this course explores conservative forces and potential energy, both elastic and gravitational. Students will learn to apply the energy equation for equilibrium and explore the stability of equilibrium. Through practical applications, learners will develop a comprehensive understanding of how energy methods can be used to solve complex engineering problems, enhancing their analytical and design capabilities.
This module provides a review of particle dynamics, covering rectilinear and plane curvilinear motion in various coordinate systems. Students will explore 3-D curvilinear motion, relative and constrained motion, and Newton's 2nd law. The course delves into work-kinetic energy relations, power, potential energy, and impulse-momentum concepts, providing a comprehensive overview of particle dynamics and its applications in engineering.
In this module, students will explore the plane kinematics of rigid bodies, focusing on rotation and parametric motion. The course covers relative velocity and the instantaneous center of rotation, providing a detailed examination of relative acceleration and rotating reference frames. Through practical applications, learners will gain a comprehensive understanding of how kinematics principles apply to the analysis and design of mechanical systems.
This module delves into the principles of friction in engineering systems. Students will explore the laws of Coulomb dry friction and solve simple surface contact problems. The module will discuss friction angles, wedges, and disk friction in thrust bearings. Additionally, it covers belt friction for flat and V belts, as well as the mechanics of square-threaded screws and screw jacks. Practical problem-solving is emphasized, enabling students to apply concepts in real-world scenarios.
This module provides an in-depth understanding of potential energy in mechanical systems. Students will study conservative forces and how potential energy is stored and utilized. The module covers elastic and gravitational potential energy, with applications in energy equations for equilibrium. Through practical examples, students learn how potential energy influences system stability and performance, preparing them for advanced engineering challenges.
This module covers the stability of equilibrium in mechanical systems. It discusses the energy method for determining equilibrium states and explores how systems respond to disturbances. Students will analyze different types of equilibrium and apply potential energy concepts to assess stability. The module emphasizes practical applications and real-world scenarios, helping students understand the significance of stability in engineering design and analysis.
This module introduces the kinematics of particles, focusing on motion in various coordinate systems. Students will explore rectilinear motion and plane curvilinear motion using rectangular, path, and polar coordinates. The module includes practical problem-solving to enhance understanding of particle dynamics and motion analysis. This foundational knowledge is critical for advanced studies in dynamics and mechanical engineering.
This module focuses on the kinematics of a particle moving on a curve. Students will learn to analyze motion using different coordinate systems and understand the complexities of curvilinear motion. The module includes practical examples and problem-solving exercises to reinforce theoretical concepts. By the end of this module, students will be able to analyze and predict particle motion on complex paths.
This module explores relative motion, focusing on the relationship between different reference frames. Students will learn to analyze motion by comparing velocities and accelerations from various perspectives. The module includes practical exercises to enhance understanding of relative motion concepts, preparing students for complex problems in dynamics and engineering applications.
This module introduces plane kinematics of rigid bodies, focusing on rotation and parametric motion. Students will study relative velocity, instantaneous centers of rotation, and relative acceleration. The module includes practical exercises and examples to deepen understanding of rigid body motion, preparing students for advanced topics in dynamics and mechanical engineering.
This module revisits kinematics of particles with an emphasis on advanced concepts and problem-solving techniques. Students will explore complex motion scenarios and apply their knowledge of dynamics to new challenges. The module includes practical exercises and examples to reinforce theoretical concepts, preparing students for further studies in mechanical engineering and dynamics.
This module covers the work and energy principles in mechanics. Students will learn about the relationship between work, kinetic energy, and potential energy. The module includes practical examples and exercises to demonstrate the application of these principles in engineering systems, enhancing understanding of energy transfer and conservation in mechanical processes.
This module explores impulse and momentum in mechanical systems. Students will study linear and angular momentum, as well as the principles of impulse. The module includes practical examples and problem-solving exercises to reinforce understanding of these concepts, preparing students for advanced topics in dynamics and mechanical engineering.
This module covers direct and oblique impulse in mechanical systems. Students will learn to analyze and solve problems involving impulse and collision. The module includes practical exercises and examples to enhance understanding of these concepts, preparing students for complex challenges in dynamics and engineering applications.
This module focuses on the plane kinetics of rigid bodies, covering kinetics of a system of particles and the derivation of the moment equation. Students will study translation, fixed axis rotation, and general planar motion. The module includes practical examples and exercises to deepen understanding of rigid body dynamics, preparing students for advanced topics in mechanical engineering.
This module delves into the kinetics of a body, exploring work-kinetic energy and potential energy principles. Students will learn about power, impulse-momentum, and impact. The module includes practical examples and problem-solving exercises to reinforce understanding of these concepts, preparing students for complex challenges in dynamics and mechanical engineering.
This module introduces the method of momentum and analysis of robot manipulators. Students will explore the application of momentum principles in robotic systems and learn to analyze motion and forces in manipulators. The module includes practical examples and exercises to enhance understanding of robotic dynamics, preparing students for advanced topics in automation and robotics.
This module covers kinematics in 3D, focusing on motion analysis in three-dimensional space. Students will study the complexities of 3D motion and learn to apply kinematic principles to analyze particle and rigid body motion. The module includes practical exercises and examples to reinforce theoretical concepts, preparing students for advanced studies in dynamics and mechanical engineering.
This module focuses on kinetics in 3D, exploring the principles of three-dimensional motion and force analysis. Students will learn to apply kinetic concepts to complex motion scenarios and solve practical problems. The module includes exercises and examples to enhance understanding of 3D dynamics, preparing students for advanced topics in engineering and mechanics.
This module introduces free vibration concepts, covering both damped and undamped systems. Students will learn about natural frequencies and modes of vibration, with practical examples and problem-solving exercises. The module prepares students for advanced topics in vibration analysis and mechanical engineering, emphasizing real-world applications and scenarios.
This module covers forced vibration in mechanical systems, focusing on both damped and undamped scenarios. Students will explore the response of systems to external forces and analyze vibration behavior. The module includes practical examples and problem-solving exercises, preparing students for advanced topics in vibration analysis and engineering applications.
This module focuses on the vibration of rigid bodies, exploring the dynamics and analysis of vibrating systems. Students will learn about mechanical displacement meters and accelerometers, with practical examples and exercises. The module emphasizes energy methods for undamped problems, preparing students for advanced studies in vibration analysis and mechanical engineering.
In this module, we delve deeper into the vibration of rigid bodies. The focus will be on understanding the principles of vibration, including:
This module is critical for grasping how rigid bodies respond to various vibrational forces and prepares students for practical applications in engineering dynamics.
This module addresses various problems associated with vibration. Students will engage in:
By the end of the module, students will be equipped with the skills needed to analyze and solve vibration-related challenges in engineering projects.