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BENDING AND SHEAR

Techniques for building shear force and bending moment diagrams for statically determinate and indeterminate beams and frames

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PREMIUM COURSES

Mastering Shear Force and Bending Moment Diagrams

Your complete roadmap to mastering these essential structural analysis skills.

Mastering Shear Force and Bending Moment Diagrams | DegreeTutors.com

After completing this course…

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

Shear Forces & Bending Moments: Analysis Bootcamp

Sharpen your civil engineering analysis skills with  questions designed to test your understanding.

Shear Forces and Bending Moments Analysis Bootcamp | DegreeTutors.com

After completing this course…

  • You will have a reliable procedure for correctly determining shear force and bending moment diagrams for statically determinate structures.
  • You will be comfortable analysing both 1-dimensional beam and 2-dimensional frame structures.
  • You will be able to utilise pre-existing pin-joints in structures to facilitate your analysis.

Indeterminate Structures & The Moment Distribution Method

Unlock indeterminate structures using the moment distribution structural analysis method.

Indeterminate Structures & The Moment Distribution Method | DegreeTutors.com

After completing this course…

  • 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 able to analyse both non-sway and sway frames – essential when designing real world structures.

Moment Distribution Method: Analysis Bootcamp

Step up your structural analysis skills by working your way through these indeterminate structures.

Moment Distribution Method Analysis Bootcamp | DegreeTutors.com

After completing this course…

  • You will have an even deeper understanding of how structures respond to loading.
  • 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.

TUTORIALS

Beam Deflection Calculator_cover | DegreeTutors.com

Building a Beam Deflection Calculator in Python

In this project, we’ll build a beam deflection calculator that can generate beam deflections by directly integrating the bending moment diagram. The technique we’ll use for calculating deflection in this project is not limited to statically determinate structures, although you will need a complete bending moment diagram to integrate. This project builds on our previous Shear Force and Bending Moment Calculator project. So at the end of this project, the final result will be a complete beam analysis code that calculates beam reactions, shear forces, bending moments and deflections.

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Macauley's Method_Post-Image | DegreeTutors.com

Macauley’s Method for Fast Beam Deflections

In this tutorial we’re going to revisit the topic of deflection calculation and introduce Macauley’s Method. We’ll again rely on integrating the differential equation of the deflection curve, except this time we’ll speed the whole process up considerably by using Macauley’s method. This technique is also sometimes known as the Singularity Function method. We’ll work our way through some examples that will leave you well placed to apply Macauley’s Method on your own. We’ll also write a couple of helper Python scripts along the way to make our lives a little easier.

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Shear and Moment Calculator Playlist | DegreeTutors.com

Building a Shear Force and Bending Moment Diagram Calculator in Python

In this project we’re going to build a Shear Force and Bending Moment Diagram calculator using Python in the Jupyter Notebook development environment. Generating the shear force and bending moment diagram for a simple beam with anything other than basic loading can be a tedious and time-consuming process. Once you finish this project, you’ll have a calculator that can produce shear force and bending moment diagrams at the push of a button. 

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Deflected-Shape | DegreeTutors.com

Calculating Beam Deflection from First Principles

In this tutorial we’re going to explore beam deflection and see how we can calculate the deflection of any beam from first principles using the differential equation of the deflection curve. We’ll work our way through a numerical example before discussing how we can use superposition along with tabulated formulae to speed up the process of calculating beam deflection.

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Shear-and-moment-diagrams-example-featured-image| DegreeTutors.com

Shear and Moment Diagrams – An Ultimate Guide

Shear force and bending moment diagrams tell us about the underlying state of stress in the structure. Determining shear and moment diagrams is an essential skill for any engineer. Unfortunately it’s probably the one structural analysis skill most students struggle with most. So in this post we’ll give you a thorough introduction to shear forces, bending moments and how to draw shear and moment diagrams. By the end of this post you’ll know a lot more about shear forces and moment moments then when you started.

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Propped cantilever plastic hinge 4 | DegreeTutors.com

Yielding, Plastic Deformation and Moment Redistribution in Beams (2/2)

In this tutorial, we’re going to work out exactly how to determine the plastic moment capacity of a cross-section. We’ll also explore the concept of moment redistribution with an illustrative example. By the end of this post you’ll be able to calculate the plastic moment capacity of any cross-section and understand in detail how moment redistribution occurs in a structure and ultimately how collapse can occur as a result of hinge formation.

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Stress-strain-curve | DegreeTutors.com

The Stress-Strain Curve & Plastic Hinges in Beams (1/2)

So why is plastic behaviour so important to understand? It’s probably fair to say that most of our engineering analysis assumes linearly elastic behaviour. But in reality, if we limit our designs to purely elastic behaviour, we’re leaving a lot of structural capacity untapped. Structures very often have more load carrying capacity than a linearly elastic analysis suggests. In this post we’ll explore this reserve capacity.

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Mastering Shear Force & Bending Moment Diagrams

Your complete roadmap to mastering these essential structural analysis skills

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This course is focused on helping you build the critical skill of sketching shear force and bending moment diagrams for statically determinate beam and frame structures. Despite being both a critical and fundamental skill, this causes many engineering students huge headaches to try and master. In this course you’ll develop repeatable and reliable strategies to complete these tasks.

After completing this course…

  • 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.

You’re 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! 

Shear Forces and Bending Moments: Analysis Bootcamp

Sharpen your structural analysis skills with challenge questions designed to test your understanding

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After completing the parent course, Mastering Shear Force & Bending Moment Diagrams, what better way to confirm you truly have mastered the techniques, than testing yourself against 10 fresh challenge questions?

Honing your structural analysis skills requires practice. There is no shortcut for sitting down and implementing your solution strategies on unfamiliar questions. Finding challenging questions complete with detailed solutions can be difficult. In fact, one of the most frequent requests I receive from my civil engineering students is for more worked examples.

In this course, I have developed 10 questions with detailed solutions explaining the thought process and logic behind their solution. In each solution video I explain in detail how I’ve used the techniques you’ve been taught previously to construct the shear force and bending moment diagrams. I have developed this question set to cover all of the common and not so common statically determinate structure types. We will address, beams, frames, structures with internal pin-joints and inclines members, all things you’re likely to come across as a civil or structural engineer.

Completing this Shear Forces and Bending Moments Analysis Bootcamp is a great way to wrap up your study of shear forces and bending moments, leaving you well placed to move on and tackle more advanced analysis techniques.

Indeterminate Structures & The Moment Distribution Method

Unlock indeterminate structures using the moment distribution structural analysis method

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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 diagram, bending 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! 

Moment Distribution Method: Analysis Bootcamp

Step up your structural analysis skills by working your way through these indeterminate structures

Play Video

This course is the ideal bolt-on to my main course on the moment distribution method, ‘Indeterminate Structures & The Moment Distribution Method’. The best way to sharpen the skills developed in that course is through practice – that’s where this course comes in!

The key to embedding any new structural analysis technique is implementing your solution strategies on unfamiliar structures. One of the most frequent requests I receive from my civil engineering students is for more worked examples.  In this course – we’ll put the skills you’ve already learned into practice on 5 challenge questions. The questions are designed to sharpen your understanding of the moment distribution method.

The focus is on 2-dimensional structural frames. We’ll cover both sway and non-sway frames – the emphasis is on analysing structures you’re likely to come across as a civil or structural engineer. While I won’t delve too deep into the derivation of solution methodologies (to avoid repetition), I will still explain the logic behind each step taken in the solution process.

The course is developed around the concept of problem based learning. To get the most out of the course you should attempt a question and iterate on your solution until you converge on the correct one. This way you learn by working your way through each problem – hence the name problem based learning. Only at the end should you watch the accompanying video to check the reasoning behind your solution.

Completing this Moment Distribution Method Analysis Bootcamp course is a great way to wrap up your study of indeterminate structures, leaving you well placed to analyse the types of structures seen in everyday life as a civil or structural engineer.