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.
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.
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.
In this Python project we’re going to build a Mohr’s Circle calculator. By the end of this project, you will have built your own stress analysis Python code. Along the way we’ll cover all of the fundamental topics that lead up to Mohr’s circle of stress. You will learn about how we use the 2D stress element to represent the state of stress at a point, the purpose of stress transformation equations, principal stresses and principal planes planes and of course Mohr’s circle!
In this tutorial we’re going to focus on trusses, also known as pin-jointed structures. We’ll briefly discuss their key features and methods of analysis. We’re going to start at the very beginning by briefly considering what exactly a truss is – but we’ll very quickly move on to truss analysis and demonstrate the joint resolution method and method of sections with some worked examples.
In this post we will use the Tintagel footbridge as a case study to explore structural behaviour and show how we can build up an understanding of the structure through analysis of increasingly refined finite element models models. We’ll apply this iterative approach by starting with a simple beam model and incrementally working towards a full 3D finite element model. Throughout this post we’ll make use of finite element analysis codes developed in DegreeTutors courses.
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.
In this tutorial we examine the Direct Stiffness Method and work our way through a detailed truss analysis. By the end of this complete introduction, you should understand the basic ideas behind why the method works, how to implement it for truss analysis and you should understand the power and scalability of the technique. Once understood, the direct stiffness method opens the door to structural analysis of large scale complex structures.
By the end of this post you’ll understand when and why a dynamic analysis is performed instead of a (usually more straightforward) static analysis. Although we typically encounter static loading, dynamic loads occur with sufficient frequency that we need to understand how to assess their influence on a structure. Typical forms of dynamic loading can include loading due to earthquakes, wind, vehicle or pedestrian traffic or wave loading on coastal or offshore structures.
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.