What you will learn

Concepts and methods for analyzing structural systems

This course has been designed for undergraduate (civil) engineering students or those interested in developing a deeper understanding of introductory structural analysis concepts and methods. The lectures cover the essential concepts and methods of structural analysis and provide examples demonstrating their applications. The course contains video lectures, exercise problems, and short quizzes. We aim to help students learn the basic structural analysis concepts; be able to analyze beams, trusses, and frames; and have their questions answered in the context of the course content. Please feel free to send us your technical questions as you go through the material. We are here to help.

Course curriculum

  • 1

    What this course is about

    • Overview

  • 2

    Preliminaries

    • Force Vector

    • Particle Equilibrium

    • Rigid-Body Equilibrium

    • Free-Body Diagram 1

    • Free-Body Diagram 2

    • Free-Body Diagram 3

    • Statically Determinate Beam Analysis

    • Quiz (Statics Review)

  • 3

    Are You Ready?

    • Pre-Knowledge Assessment Test

  • 4

    Introduction

    • Statically Determinate Beams

    • Quiz (Beam Determinacy)

    • Stability and Determinacy in Trusses

    • Quiz (Stability and Determinacy)

    • Beam with Internal Hinges

    • Quiz (Beam Analysis 1)

    • Quiz (Beam Analysis 2)

    • Beam Analysis (Distributed Loads)

    • On the Sign Convention for Writing Equilibrium Equations

  • 5

    Statically Determinate Trusses

    • The Method of Joints

    • Quiz (Method of Joints)

    • Zero-force Members

    • The Method of Sections

    • Method of Sections (Case 1)

    • Method of Sections (Case 2)

    • Method of Sections (Case 3)

    • Analysis of a Roof Truss Analysis using the Method of Joints

    • Quiz (Truss Analysis 1)

    • Review Session (Method of Joints)

    • Quiz (Truss Analysis 2)

  • 6

    Shear and Moment in Beams

    • Introduction

    • Shear and Moment

    • Shear and Moment Equations

    • Shear Diagram

    • Moment Diagram

    • Quiz (Shear and Moment 1)

    • Review Session 1

    • Quiz (Shear and Moment 2)

    • Review Session 2

    • Quiz (Shear and Moment 3)

    • Quiz (Shear and Moment 4)

    • Quiz (Shear and Moment 5)

    • Shear and Moment under Distributed Load

    • Additional Examples

    • Interactive Page for Writing Shear and Moment Equations (Beam 1)

    • Interactive Page for Writing Shear and Moment Equations (Beam 2)

    • Post-Knowledge Assessment Test

  • 7

    Deflection (Classical Methods)

    • Introduction

    • The Double Integration Method (Intro)

    • The Double Integration Method (Part 1)

    • The Double Integration Method (Part 2)

    • The Double Integration Method (Part 3)

    • The Double Integration Method (Part 4)

    • Quiz (Double Integration Method)

    • The Conjugate Beam Method (Part 1)

    • The Conjugate Beam Method (Part 2)

    • Quiz (Conjugate Beam Method)

    • The Moment-Area Method

  • 8

    Influence Lines

    • Reaction Influence Line

    • Quiz (Reaction Influence Line)

    • Shear Influence Line

    • Quiz (Shear Influence Line)

    • Moment Influence Line

    • Quiz (Moment Influence Line)

    • Influence Line for Trusses

    • Truss Influence Line: Moving Load Series

    • Truss Influence Line: Moving Distributed Load

    • Analysis of a Short Span Bridge

    • Quiz (Influence Lines)

    • Floor Girder Influence Lines

    • Post-Knowledge Assessment Test

  • 9

    Deflection (The Virtual Work Method)

    • Work-Energy Principle (Part 1)

    • Work-Energy Principle (Part 2)

    • Virtual Work Method (Trusses)

    • Virtual Work Method (Beams)

    • Virtual Work Method (Frames)

    • Quiz (Virtual Work Method)

  • 10

    Indeterminate Structures (The Force Method)

    • The Force Method (1st Degree Indeterminate Beams)

    • The Force Method (2nd Degree Indeterminate Beams)

    • The Force Method (Trusses)

    • Additional Examples

    • Quiz (The Force Method)

  • 11

    Indeterminate Structures (The Slope-Deflection Method)

    • Introduction

    • Slope-Deflection Equations (Part 1)

    • Slope-Deflection Equations (Part 2)

    • Fixed-End Moments

    • Expanded Slope-Deflection Equations

    • Support Settlement

    • Frame Analysis

    • Application (Matugama Bungalow Analysis)

    • Additional Examples

    • Post-Knowledge Assessment Test

  • 12

    Indeterminate Structures (Moment Distribution Method)

    • Introduction

    • Beam Analysis 1

    • Beam Analysis 2

    • Frame Analysis 1

    • Frame Analysis 2

    • Frame Analysis 3

    • Frame Analysis (The Glass House)

  • 13

    Cables

    • Introduction

    • Analysis of Cables Subjected to Concentrated Loads

    • Analysis of Cables Subjected to Distributed Loads

  • 14

    Arches

    • Three-hinged Arch Analysis

    • Analysis of a Three-hinged Arch Bridge

  • 15

    Structural Analysis Application Programs

    • iTruss: A 2D Truss Analysis Program

    • iFrame: A 2D Frame Analysis Program

    • iInfluence: An Influence Line Constructor for Beams

Course Review

5 star rating

One of the best COURSES in Structural Analysis if not th...

abdelrahmen kharoubi

I did understand more in this course than 2 years of master degree in my university. Thanks to all the people who are involved in doing this masterpiece.

I did understand more in this course than 2 years of master degree in my university. Thanks to all the people who are involved in doing this masterpiece.

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5 star rating

Gratitude 🤗 and Thanks 🥰 from Hashib (An undergrad studen...

AHASANUL HAQUE HASHIB

I feel so lucky that I have found this course online. I express my gratitude and humble thanks to everyone who have dedicated this course. This course makes ...

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I feel so lucky that I have found this course online. I express my gratitude and humble thanks to everyone who have dedicated this course. This course makes my life a lot easier for my University academic studies. Thank you so much again and please please please upload more free structural courses like this.

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5 star rating

Excellent

AHMAD HASSAN

I am big fan of Dr. Structure. Teaching method, quality of animation, and voice-over are excellent.

I am big fan of Dr. Structure. Teaching method, quality of animation, and voice-over are excellent.

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5 star rating

Review on Statics

ANGEL MAE CUARTO

It is clearly explained. I love learning here.

It is clearly explained. I love learning here.

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5 star rating

Thanks!

asghar allami

This course is such a light in my way. It is great!

This course is such a light in my way. It is great!

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5 star rating

Amazing!

FRANCIS Mbugua

This is the most useful course out there; it is well organized; I get so much from each single video; I am so glad I found you; I hope that you will be able ...

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This is the most useful course out there; it is well organized; I get so much from each single video; I am so glad I found you; I hope that you will be able to put out more of these courses in the future.

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5 star rating

Perfect

Newton Avila dos Santos

Very well explained with many examples and solutions

Very well explained with many examples and solutions

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5 star rating

Great resource to complement a structures course.

biagio gugliotta

The presentation of concepts and analysis of example problems are great. I really appreciate the problems and solutions offered to the student.

The presentation of concepts and analysis of example problems are great. I really appreciate the problems and solutions offered to the student.

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5 star rating

Feedback

Hawsar Omer Hama

i can't express my feelings about this course i could say its the best of all the time thank you so much dear doctor the way you explain the terms and topics...

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i can't express my feelings about this course i could say its the best of all the time thank you so much dear doctor the way you explain the terms and topics i love it so much you made me to love my career so much ,its realy incredible i hope keep making course like this

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This course has been developed and maintained under the auspices of Dr. Sivand Lakmazaheri. He has been involved in structural engineering education for several decades, first as a professor of civil engineering and later as the founding president of Educative Technologies, LLC, a research and development entity for advancing equitable access to quality educational content worldwide. Feel free to contact him via Linkedin.