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Indeterminate Structures & The Moment Distribution Method

Unlock indeterminate structures using the moment distribution structural analysis method

4.2 (42 ratings)
4.2/5
634 students enrolled
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What you'll learn

You will have a deep understanding of how structures respond to loading
You will clearly understand the methods used to analyse statically indeterminate beams and frames
You will be comfortable determining shear force, bending moment and deflected shape diagrams
You will be able to analyse both non-sway and sway frames – essential when designing real world structures


Description

Go Beyond Simple Statically Determinate Structures

Almost all real world civil engineering structures of any significance are indeterminate meaning we can’t simply rely on the trusty equations of static equilibrium. The moment distribution method is one of the most intuitive ways to analyse these structures.

After completing this course you will be well equipped to determine the shear force diagrambending moment diagram and qualitative deflected shape for any statically determinate or indeterminate structure you’re likely to encounter as a civil engineer. 

Having a fast hand-analysis method for indeterminate structures is invaluable for any good engineer! The analysis of indeterminate structures is all too often left to the computer in civil engineering these days. But as an engineer, if you can’t approximate by hand what the computer is telling – you’re on thin ice! By the end of this course you’ll have given yourself an invaluable skill – the ability to make sensible judgements on a computer analyses! 

Section 1: Establishing the fundamentals

I will start by setting out the fundamental parts of the moment distribution method; explaining each element before using some worked examples to tie them all together. After completing this section you will have a clear analysis procedure to employ. Each worked example concludes with development of a complete shear force and bending moment diagram.

Section 2: Understanding the importance of structural stability

One of the main areas of application for the moment distribution method is the analysis of structural frames. However, before we can start analysing frames, we first need an understanding of structural stability. In this section I will outline some of the common methods employed by civil engineers to ensure lateral stability of their structures. This will equip you for the analysis of frames in the following sections.

Section 3: Applying what you have learned to non-sway frames

Now we will start to really see the power of this analysis technique. We will apply the procedure and techniques from section 1 to the analysis of non-sway or propped structural frames. This will equip you to perform sub-frame analyses commonly required in the design of reinforced concrete frame structures. After completing this section you will be able to analyse some of the most common structural forms employed in civil engineering today.

Section 4: Expanding to consider sway-frames

In this final section we will bring your analysis skills to the next level by introducing you to the analysis of sway frames. Structures expected to undergo significant lateral deflections under loading will experience additional sway moments. Taking proper account of these sway effects is essential for an accurate analysis of the structure. Following an explanation and demonstration of the techniques, you are challenged to complete the analysis of a number of sway frame structures.

Who this course is for

  • Student who want to take their understanding of structural analysis up a level!
  • Engineering students who need to know how to analyse more complex structures without resorting to computer analysis, e.g. continuous beams.
  • Students tired of being limited to analysis of statically determinate structures.
  • Students wishing to analyse structural frames to facilitate design; e.g. reinforced concrete sub-frame analysis.


Course preview

Lecture 1: Welcome to the course

Lecture 2: The moment distribution process

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Course content

Introduction

Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 1
Welcome to the course (Preview)
(04:42)

Beam Analysis

Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 2
The moment distribution process (Preview)
(25:48)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 3
 Member stiffness and distribution factors
(30:47)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 4
Developing reactions, shear forces and span moments
(15:50)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 5
Dealing with pinned ends
(13:33)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 6
Dealing with cantilever ends
(19:05)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 7
Multi-iteration distributions
(27:25)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 8
Test Yourself – Worked Solution #1
(24:07)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 9
Test Yourself – Worked Solution #2
(23:56)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 10
Test Yourself – Worked Solution #3
(17:26)

Lateral Stability

Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 11
Section overview (Preview)
(01:01)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 12
Lateral stability systems
(18:38)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 13
Sway versus non-sway frames
(19:18)

Non-sway Frames

Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 14
Section overview (Preview)
(02:46)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 15a
Worked Solution #4: The distribution
(13:11)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 15b
Worked Solution #4: Free-body diagrams
(29:44)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 15c
Worked Solution #4: Drawing the solution
(12:42)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 16a
Worked Solution #5: The distribution
(08:31)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 16b
Worked Solution #5: Free-body diagrams
(05:54)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 16c
Worked Solution #5: Drawing the solution
(07:53)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 17a
Worked Solution #6: The distribution
(08:21)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 17b
Worked Solution #6: Free-body diagrams
(12:59)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 17c
Worked Solution #6: Drawing the solution
(10:17)

Sway Frame Analysis

Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 18
Section overview (Preview)
(01:22)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 19
The two-stage analysis
(15:22)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 20_s1
Step-by-step demonstration 1 – Stage 1
(08:02)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 20_s2
Step-by-step demonstration 1 – Stage 2
(12:57)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 21_s1
Step-by-step demonstration 2 – Stage 1
(07:32)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 21_s2
Step-by-step demonstration 2 – Stage 2
(18:29)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 22a
Worked Solution #7: Stage 2 analysis
(09:02)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 22b
Worked Solution #7: Post-distribution
(22:43)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 23a
Worked Solution #8: Stage 2 analysis
(08:09)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 23b
Worked Solution #8: Post-distribution
(06:15)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 24a
Worked Solution #9: Stage 2 analysis
(07:38)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 24b
Worked Solution #9: Post-distribution
(08:20)
Indeterminate Structures and the Moment Distribution Method - DegreeTutors.com 25
Course wrap-up
(01:03)


Student Feedback

G Pagoulatos

5/5

This is one of the most comprehensive courses I have taken. There are many very helpful courses on Youtube as well as post secondary sources which I have found helpful.

However most-if not all – they lack the art of packaging the “made for dummies” approach with the complexity and full technical weight of a course such as “Analysis of Indeterminate Structures and the MDM”. Sean’s ability to take something very complex and make it simple is unique. His use of sketches, CLEAR manner of speaking, REPETITION and logical development of a course is extraordinary.
I look forward to take more of his courses

February 2020

B Mwangi

5/5

I have learned a lot and gained extra knowledge from what I knew before.

December 2019

H Kareem

5/5

I have been always facing problems with my understanding to moment dist. method. But, after this course I really started to move forward. Hope u do more courses about structural analysis.

September 2019

S Rameshbhai Anand

5/5

Nobody has ever explained like this. I recommend this to everyone.

June 2019​

L Brown

5/5

I studied moment distribution back in my college days in the early to mid sixties. The approach then was only about thirty years old, and it was taught differently. All ends got FEMs calculated using the both ends fixed formulas. Members having hinged ends got their stiffnesses reduced by a quarter, which changed distribution factors. I think I prefer using the propped cantilever approach as it seems to model the structure more accurately. Also, sway of structures was not generally covered in undergraduate structures analysis courses. Your explanation of the subject and how to solve sway structures was very good. You also made me remember the power of the free body diagram. All in all, well done.

May 2020

O P Ogbonna

5/5

The pace at which the lecture is delivered makes it suitable for both students and professionals alike.

April 2020

C Reis

5/5

I found is course very relevant to my needs. As mechanical engineer going from designing small precision components to large machines I found this course very helpful explaining this method of frame analysis.

June 2019

G Martino Erbi

5/5

Amazing and easy explanation of the moment distribution method. I wanted to have him as lecturer.

August 2018

L Mota

5/5

Excellent course, for aspiring engineers and those who want to remember structural analysis methods for indeterminate structures.

August 2018


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