Mastering Shear Force & Bending Moment Diagrams

Your complete roadmap to mastering bending moment and shear force diagrams

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Who is this course for?

  • Engineering students who struggle to reliably draw shear force and bending moment diagrams
  • Advanced engineering students who want to brush up their skills - a good idea before a technical job interview!
  • Professional engineers who would benefit from a refresher.

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!

Course Curriculum

Your Instructor

Dr Seán Carroll
Dr Seán Carroll

Seán is a UK based lecturer in structural engineering and a chartered engineer. He holds a degree in structural engineering, a masters degree in civil engineering and a PhD, also in civil engineering. After graduating in 2006, Seán worked for several years as a structural design engineer before pursuing a PhD in structural dynamics. In addition to his civil engineering research, Seán's other passion is teaching. Whether that's live in the lecture hall or here on Seán is also a Fellow of the Higher Education Academy in the UK, a recognition of his commitment to professionalism in teaching and learning in higher education.

We'll focus on pinning down the basics before diving into worked examples

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!

FREE Bumper Example Pack

10 additional worked examples

The route to success in structural analysis is practice! Get the full course + 10 additional HD video worked examples to test yourself against. This is the ideal way to confirm you really have mastered shear force and bending moment diagrams.


If you are not satisfied with your purchase, contact us in within the first 30 days and we will give you a full no hassle refund.

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