Introduction

Engineering Mechanics is a fundamental area of mechanical engineering that deals with the behavior of physical systems under the influence of external forces. Statics and Dynamics are key subfields of Engineering Mechanics, focused on equilibrium of forces in static systems and the motion of bodies under dynamic conditions, respectively. This course will provide a comprehensive understanding of the principles of statics and dynamics, essential for designing, analyzing, and optimizing structures and mechanical systems. Participants will explore force systems, moments, and equilibrium, as well as kinematics, kinetics, and vibration analysis in dynamic environments. It’s a crucial course for individuals pursuing careers in mechanical, civil, and aerospace engineering.

Objectives

By the end of this course, participants will:

1. Understand the fundamental principles of Statics and Dynamics.
2. Learn how to analyze and solve force systems, moments, and equilibrium in static structures.
3. Understand the concepts of kinematics and kinetics in dynamics, including motion, velocity, and acceleration.
4. Apply Newton’s Laws of Motion and work-energy principles to dynamic systems.
5. Analyze dynamic behavior of mechanical systems including vibrations, damping, and resonance.
6. Gain hands-on experience with structural analysis using real-world case studies and simulation tools.
7. Use analytical techniques to solve practical engineering problems related to static and dynamic systems.

Who Should Attend?

This course is ideal for:

• Mechanical Engineers and Aerospace Engineers involved in the design and analysis of structures and mechanical systems.
• Civil Engineers focusing on structural design and construction.
• Engineering Students looking to build a strong foundation in mechanics.
• Technicians and Designers who work with machine design and mechanical systems.
• Industry Professionals seeking to understand the behavior of static and dynamic systems in engineering applications.

Course Outline

Day 1: Introduction to Statics and Basic Concepts

• Module 1.1: Overview of Engineering Mechanics

  • Introduction to Statics and Dynamics
  • Real-world applications: bridge design, machine components, aerospace structures
  • Basic concepts in forces, moments, and equilibrium

• Module 1.2: Force Systems and Resultant Forces

  • Types of force systems: concentrated, distributed, and equivalent forces
  • Vector representation of forces and moments
  • Finding the resultant force and equivalent force couple systems

• Module 1.3: Equilibrium of Rigid Bodies

  • Conditions for static equilibrium
  • Free body diagrams (FBDs) and equilibrium equations
  • Introduction to trusses and beams analysis

• Hands-On Session:

  • Drawing free body diagrams for simple structures
  • Solving static equilibrium problems using Matlab or Microsoft Excel

Day 2: Analysis of Trusses and Frames in Statics

• Module 2.1: Truss Analysis Methods

  • Types of trusses and frame structures
  • Methods of analysis: Method of joints and method of sections
  • Internal forces in trusses: tension vs. compression

• Module 2.2: Moment of Inertia and Centroids

  • Calculating centroids for different shapes
  • Moment of inertia for beams and structural members
  • Parallel axis theorem and its application in structural analysis

• Module 2.3: Hands-On Session

  • Truss analysis using the method of joints and method of sections
  • Calculating the centroid and moment of inertia for composite shapes

Day 3: Fundamentals of Dynamics and Kinematics

• Module 3.1: Introduction to Dynamics

  • Difference between statics and dynamics
  • Basic kinematics: position, velocity, and acceleration
  • Types of motion: rectilinear and curvilinear motion

• Module 3.2: Newton’s Laws of Motion

  • Understanding Newton’s First, Second, and Third Laws
  • Application of force, mass, and acceleration in dynamic systems
  • Work-energy principle and conservation of energy

• Module 3.3: Hands-On Session

  • Analyzing kinematics of motion for particles and rigid bodies
  • Using simulation software to model and solve basic dynamic problems

Day 4: Kinetics of Particles and Rigid Bodies

• Module 4.1: Kinetics of Particles

  • Linear motion: constant acceleration and variable acceleration
  • Work and energy in particle motion
  • Impulse-momentum and conservation of linear momentum

• Module 4.2: Kinetics of Rigid Bodies

  • Translational and rotational motion of rigid bodies
  • Moment of inertia for rotating bodies and rotational energy
  • Rotational dynamics: angular velocity, angular acceleration, and torque

• Module 4.3: Hands-On Session

  • Solving kinetic problems involving particles and rigid bodies
  • Using computational tools to simulate rotational motion and energy

Day 5: Vibrations, Damping, and Real-World Applications

• Module 5.1: Vibrations and Resonance

  • Understanding free vibrations and forced vibrations
  • Introduction to damping, natural frequency, and resonance
  • Vibration analysis in mechanical systems

• Module 5.2: Damping and Applications in Engineering

  • Types of damping: viscous, Coulomb, and structural damping
  • Real-world applications: machine design, automotive, aerospace, and civil engineering
  • Introduction to vibration isolation systems

• Module 5.3: Hands-On Session

  • Analyzing vibrations in simple mechanical systems
  • Using MATLAB or Simulink to simulate damped vibrations in structures

Prerequisites

• Basic understanding of engineering mathematics (algebra, calculus, trigonometry)
• Familiarity with basic physics concepts (forces, motion, energy)

Course Takeaways

✅ Comprehensive understanding of statics and dynamics principles
✅ Hands-on experience with solving real-world static and dynamic problems
✅ Practical knowledge in analyzing forces, equilibrium, and motion in mechanical systems
✅ Vibration analysis and its application in design and optimization
✅ Proficiency in simulation tools to model and solve dynamic systems