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Mastering Statics
  • Level Professional
  • المدة 21 ساعات hours
  • الطبع بواسطة The Hong Kong University of Science and Technology
  • Offered by

عن

Course Overview: https://www.youtube.com/watch?v=sdom7zBIfkE Statics is the most fundamental course in Mechanics. In this course, you will learn the conditions under which an object or a structure subjected to time-invariant (static) forces is in equilibrium - i.e. the conditions under which it remains stationary or moves with a constant velocity-. You will also learn how to calculate the reaction forces as well as the internal forces experienced throughout the structure so that later you can properly design and size the foundation and the members of the structure to assure the structure’s safety and serviceability. This course is suitable for learners with interest in different Engineering disciplines such as civil engineering, architecture, mechanical engineering, aerospace. Non engineering disciplines may also find the course very useful, from archaeologist who are concerned about the stability of their excavation sites to dentists interested in understanding the forces transmitted through dental bridges, to orthopedic surgeons concerned about the forces transmitted through the spine, or a hip or knee joint. The content will be primarily delivered using light board. Prof. Katafygiotis is going to write and sketch with color markers directly on the board while facing you. You will have an exciting and interactive learning experience online!

الوحدات

Orientation

    • 1 Videos
    • 1 Readings
    • 1 Discussion
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1 Discussions

  • Meet and Greet

1 Videos

  • Course Overview

1 Readings

  • Grading Criteria

Introduction

    • 4 Videos
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4 Videos

  • 1-0 Introduction to Mechanics
  • 1-1 Brief Introduction of Vectors
  • 1-2 Basic Operations of Vectors: Vector Addition
  • 1-3 Vector Addition: Triangle Rules

Vector Addition: Cartesian Coordinates

    • 4 Videos
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4 Videos

  • 1-4 Cartesian Components (2D)
  • 1-5 Cartesian Components (3D)
  • 1-6 Decomposition of a Force into its Cartesian Components
  • 1-7 Example: Cartesian Components

Vector Operation: Dot Product

    • 3 Videos
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3 Videos

  • 1-8 Introduction to Dot Product
  • 1-9 Dot Product: Cartesian Components
  • 1-10 Example: Dot Product

Vector Operation: Cross Product

    • 6 Videos
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6 Videos

  • 1-11 Introduction to Cross Product
  • 1-12 Cross Product: Cartesian Components
  • 1-13 Application of Cross Product: Calculating Area
  • 1-14 Application of Cross Product: Moment of a Force
  • 1-15 Example: Moment of a Force
  • 1-16 Couple of Forces

Vector Operation: Mix or Triple (Scalar) Product

    • 3 Videos
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3 Videos

  • 1-17 Vector Operation: Mix or Triple (Scalar) Product
  • 1-18 Application of Mix Product: Moment of a Force about an Axis
  • 1-19 Example: Moment of a Force about an Axis

Quiz

    • 1 Assignment
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1 Assignment

  • Quiz 1

Equivalent System of Forces

    • 3 Videos
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3 Videos

  • 2-1 Equivalent Systems of Forces
  • 2-2 Simplified Equivalent System
  • 2-3 Example: Simplified Equivalent System of Forces in 2D

Equilibrium of a Rigid Body

    • 5 Videos
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5 Videos

  • 2-4 Equilibrium of a Rigid Body
  • 2-5 Reactions at Different Supports
  • 2-6 Example: Calculating Reactions
  • 2-7 Equilibrium of a System of Rigid Bodies
  • 2-8 Example: Equilibrium of a System of Two Rigid Bodies

Two and Three-force Members

    • 3 Videos
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3 Videos

  • 2.9 2-Force Members
  • 2.10 Example: 2-Force Members
  • 2-11 3-Force members (Optional)

Quiz

    • 1 Assignment
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1 Assignment

  • Quiz 2

Stability - Static Point of View

    • 3 Videos
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3 Videos

  • 3-1 Stability - Static Point of View
  • 3-2 Example: Static Determinacy
  • 3-3 Example: Static Indeterminacy

Stability - Kinematic Approach (on a single rigid body)

    • 3 Videos
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3 Videos

  • 3-4 Kinematic Considerations - Rigid Body Motion
  • 3-5 Kinematic considerations - Infinitesimal Motions
  • 3-6 Stability - Kinematic Approach

Stability - Kinematic Approach (on multiple rigid bodies)

    • 3 Videos
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3 Videos

  • 3-7 Kinematic considerations - Multiple rigid bodies
  • 3.8 Stability - Kinematic approach for Multiple Rigid Bodies, Part 1
  • 3.9 Stability - Kinematic approach for Multiple Rigid Bodies, Part 2

Quiz

    • 1 Assignment
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1 Assignment

  • Quiz 3

Introduction

    • 1 Videos
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1 Videos

  • 4-1 Introduction to Trusses

Classification of Trusses

    • 3 Videos
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3 Videos

  • 4-2 Simple Trusses
  • 4-3 Compound Trusses
  • 4-4 Complex Trusses

Method of Joints

    • 3 Videos
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3 Videos

  • 4-5 Introduction to Method of Joints
  • 4-6 Example: Method of Joints for Simple Trusses
  • 4-7 Illustration: Method of Joints for Complex and Compound Trusses

Method of Sections

    • 1 Videos
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1 Videos

  • 4-8 Introduction to Method of Sections

Computer-aided Analysis of Trusses

    • 1 Videos
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1 Videos

  • 4-9 Illustration: Computer-aided Analysis of Trusses

Quiz

    • 1 Assignment
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1 Assignment

  • Quiz 4

Area and Centroid

    • 4 Videos
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4 Videos

  • 5.1 Area and Centroid
  • 5.2 Area and Centroid Examples
  • 5.3 Example of a Half Circle
  • 5.4 Example of Composite Areas

Distributed Loading

    • 3 Videos
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3 Videos

  • 5.5 Distributed Loading
  • 5.6 Example 1: Distributed Loading
  • 5.7 Example 2: Distributed Loading

Pappus-Guldiness Theorem

    • 2 Videos
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2 Videos

  • 5.8 The First Theorem of Pappus-Guldiness
  • 5.9 The Second Theorem of Pappus-Guldiness

Moments of Inertia

    • 5 Videos
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5 Videos

  • 5.10 Moments of Inertia - Part 1
  • 5.11 Moments of Inertia - Part 2
  • 5.12 Product Moment of Inertia
  • 5.13 Radius of Gyration and Polar Moment of Inertia
  • 5.14 Moments of inertia for Simple Geometric Shapes

Parallel axis theorem

    • 3 Videos
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3 Videos

  • 5.15 Parallel Axis Theorem
  • 5.16 Example: Moments of Inertia for a Combined Shape using Parallel Axis Theorem
  • 5.17 Example: Proper Application of Parallel Axis Theorem for Shifted Axis

Rotated axes

    • 2 Videos
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2 Videos

  • 5.18 Transformation due to Rotated Axes
  • 5.19 Moment of Inertia with respect to Rotated Axes

Mohr's Circle

    • 3 Videos
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3 Videos

  • 5.20 Mohr's circle
  • 5.21 Example 1: Application of Mohr's Circle for Calculating Moments of Inertia with respect to Rotated Axes
  • 5.22 Example 2: Special Cases regarding Mohr's Circle

Quiz

    • 1 Assignment
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1 Assignment

  • Quiz 5

Introduction

    • 2 Videos
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2 Videos

  • 6-1 Introduction to Internal Forces
  • 6-2 Sign Convention of Internal Forces

Understanding Axial Force, Shear Force and Bending Moments

    • 3 Videos
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3 Videos

  • 6-3 Understanding Axial Force
  • 6-4 Understanding Shear Force
  • 6-5 Understanding Bending Moments

Getting started with drawing Internal Force Diagrams

    • 2 Videos
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2 Videos

  • 6-6 Sign convention: A critical review
  • 6-7 Introduction to Axial, Shear and Bending Moment Diagram

1. Drawing Shear Diagram

    • 3 Videos
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3 Videos

  • 6-8 Rules of Shear Force Diagram (Part 1)
  • 6-9 Rules of Shear Force Diagram (Part 2)
  • 6-10 Rules of Shear Force Diagram (Part 3)

2. Drawing Axial Force Diagram

    • 2 Videos
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2 Videos

  • 6-11 Rules of Axial Force Diagram
  • 6-12 Example: Axial Force Diagram

3. Drawing Bending Moment Diagram

    • 3 Videos
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3 Videos

  • 6-13 Rules of Bending Moment Diagram
  • 6-14 Example: Bending Moment Diagram
  • 6-15 Example 2: Bending Moment Diagram

Proceed to Module 7

    • 1 Readings
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1 Readings

  • Please proceed to Module 7

Analyzing Joints in Frames based on Internal Forces Diagrams

    • 1 Videos
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1 Videos

  • 7-1 Analyzing Joints in Frames based on Internal Forces Diagrams

Case 1: Static Analysis of a Structure

    • 5 Videos
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5 Videos

  • 7-2 Stability and Reaction of the structure
  • 7-3 Axial Force Diagram
  • 7-4 Shear Force Diagram
  • 7-5 Bending Moment Diagram
  • 7-6 Summary: Major Steps of performing Static Analysis of a structure

Drawing the Bending Moment Diagram using a Fast Track Approach

    • 2 Videos
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2 Videos

  • 7-7 Remarks
  • 7-8 Example: Drawing Bending Moment Diagram using Fast Track Approach

Case 2: Static Analysis of a structure

    • 2 Videos
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2 Videos

  • 7-9 Reactions and Force Decomposition
  • 7-10 Axial Force, Shear Force and Bending Moment Diagrams

Quiz

    • 1 Assignment
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1 Assignment

  • Quiz 6

Farewell

    • 1 Readings
    • 1 Assignment
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1 Assignment

  • Post Course Survey

1 Readings

  • Please rate this course!

Auto Summary

"Mastering Statics" is a fundamental course in Mechanics, focusing on equilibrium conditions for structures under static forces. Ideal for learners in civil, mechanical, aerospace engineering, and more, it covers calculating reaction and internal forces for safe and serviceable designs. Taught by Prof. Katafygiotis using an engaging light board method, this professional-level Coursera course spans 1260 minutes and offers a Starter subscription. Perfect for both engineering and non-engineering professionals seeking to understand structural stability.

Lambros Katafygiotis
Instructor

Lambros Katafygiotis