Mastering Shear Force & Bending Moment Diagrams

Your complete roadmap to mastering these essential structural analysis skills

4.6 (149 ratings)
4.6/5

1143 students enrolled

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What you'll learn

You will be fully competent in drawing shear force and bending moment diagrams for statically determinate beams and frames.
You will understand the relationship between external loading and the shear forces and bending moments they induce.
You will understand the link between internal stresses and their shear force and bending moment resultants.
You will have a robust system of analysis that allows you to confidently tackle the analysis of any statically determinate structure.


Description

Each lecture is developed and delivered with the benefit of my experience as a university lecturer in structural engineering. The teaching style appeals to all types of learners with material developed through hand-drawn notes and sketches. Students are encouraged to engage with each lecture by actively developing their own notes during each video lecture…no ‘death by PowerPoint’ here! We’ll focus on pinning down the basics before diving into worked examples.

If you follow all lectures and attempt all of the worked examples, by the end of the course you will have an excellent grasp of this essential civil engineering skill! 

Section 1: Reviewing the basics
Before we get into the detail of shear force and bending moment diagrams, first we need to do a little housekeeping. We’ll clarify a few assumptions that apply to our analyses and make sure you can determine support reactions for statically determinate structures.

Section 2: Understanding internal bending moments
In this section we start laying the foundation for your understanding of bending moments. We kick things off by considering how the bending moment relates to the state of stress within the structure – we’re trying to answer the question ‘what is the bending moment telling us about the state of stress within the structure?’.

Then we’ll see how the principle of equilibrium allows us to determine the internal bending moment at any point within the structure. This will prepare us nicely to start thinking about how the bending moment changes along the structure.

We’ll wrap this section up with some worked examples to make sure you understand everything we have discussed in the section.

Section 3: Understanding internal shear forces
Everything we’ve done for bending moments we’re going to now do for shear forces:

  • relating shear stress to shear force
  • cutting the structure to reveal the internal shear force
  • introducing a sign convention

As always we’ll confirm you understand everything by completing some worked examples.

Section 4: Differential relationships between loading, shear force and bending moment
In this section we take our understanding to the next level. We’re going to establish the relationships (and rules) that allow us to systematically build bending moment and shear force diagrams – 100% accurately every time. By the time you complete this section, you will understand how these diagrams can be developed in a systematic way, ensuring success every time.

Section 5 & 6: Bringing it all together – Worked Examples
In these final two sections we reinforce everything you have learning so far. Remember, structural analysis, like any other skill only improves through practice. By putting everything you have learning over the previous 4 sections into action here, you’re ensuring the skills are embedded.

We will start on familiar ground in section 5 by considering beam structures. In section 6 we’ll map what you have learned onto frame structures – greatly expanding the applicability of the tools and techniques you have developed in this course!

At this point you can confidently analyse any statically determinate structure you’re likely to come across in your civil engineering studies or career. Next step…statically indeterminate structures!

Who this course is for

  • Students who know they should be able to but struggle to reliably draw shear force and bending moment diagrams.
  • Students who have not yet come across the concepts of shear force and bending moments and want to get a head start.
  • Students outside of traditional engineering disciplines, architecture students for example, who want to better understand how structures respond to loading.
  • More advanced engineering students to want to give themselves a refresher – a good idea before a technical job interview!


Course preview

Lecture 1: Welcome to the course - what to expect

Lecture 13: Test Yourself - Worked Example #4

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Course content

Quick Review of the Basics

Mastering Shear Force and Bending Moment Diagrams -1
Welcome and Section Overview (Preview)
(07:56)
Mastering Shear Force and Bending Moment Diagrams -2
Some Basic Assumptions (Preview)
(25:36)
Mastering Shear Force and Bending Moment Diagrams -3
 Loads, Reactions and Load Paths (Preview)
(04:37)
Mastering Shear Force and Bending Moment Diagrams -4
Test Yourself – Worked Example #1
(08:01)
Mastering Shear Force and Bending Moment Diagrams -5
Test Yourself – Worked Example #2 (Preview)
(06:43)
Mastering Shear Force and Bending Moment Diagrams -6
Test Yourself – Worked Example #3
(08:34)

Internal Bending Moments - The Basics

Mastering Shear Force and Bending Moment Diagrams -7
Section Overview (Preview)
(02:09)
Mastering Shear Force and Bending Moment Diagrams -8
Relating bending moment to bending stress
(19:06)
Mastering Shear Force and Bending Moment Diagrams -9
Internal bending moment and equilibrium
(20:35)
Mastering Shear Force and Bending Moment Diagrams -10
Using cuts to reveal the internal bending moment
(21:04)
Mastering Shear Force and Bending Moment Diagrams -11
Bending moment sign convention
(15:34)
Mastering Shear Force and Bending Moment Diagrams -12
Test Yourself – Worked Example #4 (Preview)
(09:39)
Mastering Shear Force and Bending Moment Diagrams -13
Test Yourself – Worked Example #5
(14:48)
Mastering Shear Force and Bending Moment Diagrams -14
Test Yourself – Worked Example #6
(16:03)

Internal Shear Forces - The Basics

Mastering Shear Force and Bending Moment Diagrams -15
Section Overview (Preview)
(01:30)
Mastering Shear Force and Bending Moment Diagrams -16
Relating shear force to shear stress
(14:44)
Mastering Shear Force and Bending Moment Diagrams -17
Using cuts to reveal the internal shear force
(14:20)
Mastering Shear Force and Bending Moment Diagrams -18
Shear force sign convention
(07:17)
Mastering Shear Force and Bending Moment Diagrams -19
Worked Example #7
(18:42)
Mastering Shear Force and Bending Moment Diagrams -20
Worked Example #8
(21:51)

The Relationship Between Loading, Shear Force and Bending Moment

Mastering Shear Force and Bending Moment Diagrams -21
Section Overview (Preview)
(02:30)
Mastering Shear Force and Bending Moment Diagrams -22
Case I: distributed loading
(19:31)
Mastering Shear Force and Bending Moment Diagrams -23
Case II: point loading
(14:05)
Mastering Shear Force and Bending Moment Diagrams -24
Case III: couple or applied moment
(10:46)

Bringing It All Together

Mastering Shear Force and Bending Moment Diagrams -25
Section Overview (Preview)
(02:00)
Mastering Shear Force and Bending Moment Diagrams -26
Test Yourself – Worked Example #9
(30:40)
Mastering Shear Force and Bending Moment Diagrams -27
Test Yourself – Worked Example #10
(35:05)
Test Yourself – Worked Example #11
(15:55)
Mastering Shear Force and Bending Moment Diagrams -29
Test Yourself – Worked Example #12
(28:24)
Mastering Shear Force and Bending Moment Diagrams -30
Test Yourself – Worked Example #13
(16:44)

Beyond Beams - Statically Determinate Frames

Mastering Shear Force and Bending Moment Diagrams -31
Section Overview (Preview)
(01:15)
Mastering Shear Force and Bending Moment Diagrams -32
Test Yourself – Worked Example #14
(29:35)
Mastering Shear Force and Bending Moment Diagrams -33
Test Yourself – Worked Example #15
(13:43)
Mastering Shear Force and Bending Moment Diagrams -34
Test Yourself – Worked Example #16
(19:14)
Mastering Shear Force and Bending Moment Diagrams -35
Well done! Course wrap-up
(02:22)


Student Feedback

A Nair

5/5
The tutor is very clear and teaches at perfect speed. March 2020

M Tilley

5/5
Excellent presentation. January 2020

R M Ramos

5/5
The professor provide a very clear explanation of the concepts. November 2019​

A Pervov

5/5
Love this course! December 2018

D Zubarev

5/5
Very clear exposition for anyone considering going into Structural Engineering June 2018

M Ghanta

5/5
This is an excellent course and it truly gives you a deep insight into the way a structure behaves on the application of external loads and you develop a great understanding of the Shear force and Bending moment diagrams which essentially are the tools used to analyse a structure completely. The concepts and problems taught in the course are very close to the real world examples and the instructor provides you with a lot of practical knowledge drawing on from his experience as a Structural Engineer. This course will truly make you fall in love with structures and provide you with a solid foundation to go on and become one of the best in the field of Structural Engineering. May 2018

G Abi

5/5
I am glad that I bought this course because he explains the concepts very well. I took Statics and Mechanics of Materials but it is good to review this stuff again. April 2018


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