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4.59 out of 5
4.59
278 reviews on Udemy

Mastering Shear Force and Bending Moment Diagrams

Civil Engineering Essentials - Your complete roadmap to mastering these structural analysis skills
Instructor:
Dr Seán Carroll
1,829 students enrolled
English [Auto]
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.

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!

Quick Review of the Basics

1
Welcome and Section Overview
2
Some Basic Assumptions
3
Loads, Reactions and Load Paths
4
Worked Example 1
5
Worked Example 2
6
Worked Example 3

Internal Bending Moments - The Basics

1
Section Overview
2
Quick note on the next lecture
3
Relating bending moment to bending stress

Hey,

At 12:15 in the following lecture, I draw the tensile force acting on the cross section as an arrow acting to the left. This should actually be an arrow acting to the right - opposite in direction to the compression force. You would have probably realised this was a slip of the pen on my part - but I thought I'd better point it out to avoid any confusion!

Thanks,

Seán 

4
Internal bending moment and equilibrium
5
Using cuts to reveal the internal bending moment
6
Bending moment sign convention
7
Worked Example #4
8
Worked Example #5
9
Worked Example #6

Internal Shear Forces - The Basics

1
Section Overview
2
Relating shear force to shear stress
3
Using cuts to reveal the internal shear force
4
Shear force sign convention
5
Worked Example #7
6
Worked Example #8

The Relationship Between Loading, Shear Force and Bending Moment

1
Section Overview
2
Case I: distributed loading
3
Case II: point loading
4
Case III: couple or applied moment

Bringing It All Together

1
Section Overview
2
Worked Example #9
3
Worked Example #10
4
Worked Example #11
5
Worked Example #12
6
Worked Example #13

Beyond Beams - Statically Determinate Frames

1
Section Overview
2
Worked Example #14
3
Worked Example #15
4
Worked Example #16
5
Well done! What now?

BONUSES!

1
BONUS LECTURE - My Other Courses
You can view and review the lecture materials indefinitely, like an on-demand channel.
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
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Includes

8 hours on-demand video
2 articles
Certificate of Completion

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AulaGEO is a Ge-engineering specialized academy.

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