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# Fundamentals of Engineering Mechanics

via Skillshare

## Overview

'Fundamentals of Engineering Mechanics' makes complicated mechanics calculations easy!

This course includes video and text explanations of everything in a first year engineering mechanics module. It includes more than 60 worked through examples with easy-to-understand explanations. 'Fundamentals of Engineering Mechanics' covers five sections:

1. Particle Equilibrium.
2. Rigid Body Equilibrium.
3. Structural Analysis.
4. Centroids and Inertia.
5. Internal Forces in Structural Members.

These are the five fundamental chapters in the study of engineering mechanics.

We start from the beginning... First I teach the theory. Then I do an example problem. I explain the problem, the steps I take and why I take them and how to simplify the answer when you get it.

## Syllabus

• Introduction
• SI Units and Prefixes
• Significant Figures
• SI Units and Significant Figures
• Vector Opperations
• Geometry Recap
• Vector Operations Example 1
• Vector Operations Example 2
• Cartesian Vectors in Three Dimensions
• Cartesian Vectors in Three Dimensions Example
• Position Vectors and Vectors Directed Along A Line
• Position Vectors and Vectors Directed Along A Line Example
• Dot Product and its Applications
• Dot Product and its Applications Example
• Particle Equilibrium in Two Dimensions
• Equilibrium in Three Dimensions
• Free Body Diagrams
• Free Body Diagrams Example 1
• Free Body Diagrams Example 2
• Particle Equilibrium in Three Dimensions
• Moment of a Force
• Moment of a Force Example
• Moment of a Force Using Cross Product
• Moment of a Force Using Cross Product Example
• How to do the Cross Product on your Calculator
• Moment of a Force About a Point
• Moment of a Force About an Axis or Line
• The Moment of a Couple (Scalar)
• The Moment of a Couple (Scalar) Example
• The Moment of a Couple (Vector)
• The Moment of a Couple (Vector) Example
• Reduction of Force and Couple system to its Simplest Form
• Reduction of Force and Couple system to its Simplest Form Example
• Further Simplification of a Force and Couple System
• Further Simplification of a Force and Couple System Example
• Rigid Body Equilibrium in Two Dimensions
• Rigid Body Equilibrium in Two Dimensions Example
• Two Force Members
• Method of Sections
• Method of Sections Example
• How to Determine if a Member is in Tension or Compression
• Zero Force Members
• Zero Force Members Example
• Frames and Machines
• How to Calculate the Centroid
• Centroid of a Wire
• Moments of Inertia
• Moments of Inertia Example
• Internal Forces in Structural Members
• Internal Forces in Structural Members
• Shear Force Diagram Example
• Bending Moment Diagram Example

Leon Petrou

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