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COMING SOON - MULTI DEGREE OF FREEDOM DYNAMICS
Multi-Degree of Freedom Dynamics, Modal Analysis and Seismic Response Simulation in Python
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Build the knowledge and tools to decode the dynamic response of real-world structures to real-world loads.
After completing this course…
- You will be able to model the influence of earthquake-induced ground motion on structures.
- You will develop numerical tools to solve the coupled equations of motion for multi-degree of freedom systems.
- You will understand the role of modal decomposition in uncoupling the equations of motion and identifying the underlying dynamic characteristics of multi-degree of freedom systems.
- You will understand the role of motion suppression devices such as tuned mass dampers and be able to design and model their dynamic behaviour.
LATEST TUTORIALS / PROJECTS
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.
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.
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.Â
Use the Isoparametric Finite Element Method to build an analysis tool for 2D structures in Python.
After completing this course…
- You will have the tools to analyse continuum structures using your own Isoparameteric Finite element Python code developed from the ground up.
- You will understand how the assumptions of plane stress and plane strain allow us to analyse 3D structures accurately with 2D planar models.
- You will be able to use open source tools to generate structural models and mesh data that can be analysed with your FE code.
- You will learn about von Mises Failure Criterion and Principal Stresses and visualise these across your structures.
ENGINEERING COURSES
Multi-Degree of Freedom Dynamics, Modal Analysis and Seismic Response Simulation in Python
Build the knowledge and tools to decode the dynamic response structures to real-world loads.
After completing this course…
- You will be able to model the influence of earthquake-induced ground motion
- You will develop numerical tools to solve the coupled equations of motion for multi-degree of freedom systems.
- You will understand the role of modal decomposition in uncoupling the equations of motion and identifying the underlying dynamic characteristics of MDoF systems.
Use the Isoparametric Finite Element Method to build an analysis tool for 2D structures in Python.
After completing this course…
- You will have the tools to analyse continuum structures using your own Isoparameteric Finite element Python code, developed from the ground up.
- You will understand how the assumptions of plane stress and plane strain allow us to analyse 3D structures accurately with 2D planar models.
- You will be able to use open source tools to generate structural models and mesh data that can be analysed with your FE code.
Build your own complete 3D structural analysis software in Python using the Direct Stiffness Method
After completing this course…
- You’ll understand how to expand the direct stiffness method to full 12 degree of freedom beam elements in 3D space.
- You’ll have developed a complete 3D finite element analysis solver to simulate structures consisting of beam and axially loaded bar elements.
- You’ll have the skills to efficiently build detailed structural models in Blender and export these for analysis in your own Python solver.
Develop tools to model and analyse complex 3D space frame structures using Python.
After completing this course…
- You’ll understand how to apply the Direct Stiffness Method to solve 3D space frame structures using Python.
- You’ll have your own analysis programme to identify displacements, reactions and internal member forces for any 3D space frame.
- You’ll be able to use Blender, a powerful open source 3D modelling software to build, visualise and export your structural models.
After completing this course…
- You’ll understand how to model beam elements that resist axial force, shear forces and bending moments within the Direct Stiffness Method.
- You’ll have your own analysis software that can generate shear force diagrams, bending moment diagrams, deflected shapes and more.
- You’ll understand how to model rotational pins within your structures, inter-nodal distributed loading and realistic flexible supports.
After completing this course…
- You’ll understand how to use the Direct Stiffness Method to build complete structural models that can be solved using Python.
- You’ll have your own analysis programme to identify displacements, reactions and internal member forces for any truss.
- You’ll understand how common models of elastic behaviour such as plane stress and plane strain apply to real-world structures.
Leverage fundamental structural dynamics to build your own flexible numerical solutions in Python.
After completing this course…
- You’ll understand how to model dynamic behaviour using spring-mass-damper models and how to simulate free vibration behaviour.
- You’ll be able to model the influence of harmonic loading and how to characterise the transient and steady-state responses.
- You’ll be able to use Python to implement the Piecewise Exact Method to model any form of general dynamic loading.
Powerful techniques for analysing realistic civil engineering structures.
After completing this course…
- You will learn how to analysis complex and indeterminate structures using hand-analysis techniques.
- You will learn how to calculate deflections, member forces and bending moments in indeterminate structures.
- You will learn how the Principle of Superposition can be used to decipher and unlock the behaviour of complex structures.
Analyse complex beam and frame civil engineering structures using Virtual Work.
After completing this course…
- You will have a complete understanding of the Principle of Virtual Work and how it can be applied to bending behaviour.
- You will have robust, repeatable strategies to apply Virtual Work to beam and frame structures in bending.
- You will be able to use Virtual Work techniques to calculate unknown displacements in beams and frames.
Level up your structural analysis skillset with these powerful Civil Engineering analysis techniques.
After completing this course…
- You will have a complete understanding of how concepts such as work, energy and elasticity combine to give us the Principle of Virtual Work.
- You will be able to use Virtual Work to calculate unknown nodal displacements in pin-jointed truss structures.
- You will be able to use Virtual Work to calculate internal forces in pin-jointed truss structures.
Step up your structural analysis skills by working your way through these indeterminate structures.
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.
Unlock indeterminate structures using the moment distribution structural analysis method.
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.
Sharpen your civil engineering analysis skills with questions designed to test your understanding.
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.
Your complete roadmap to mastering these essential structural analysis skills.
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.
Get to grips with civil engineering structural analysis once and for all.
After completing this course…
- You will understand key concepts such as the moment of a force, static equilibrium and determinacy.
- You will be able to determine the support reactions for structures subject to a range of loading conditions.
- You will learn to use the Joint Resolution Method and Method of Sections to analyse pin-jointed truss structures.
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- Over 550 lectures & over 100 hours of HD video content.
- Hundreds of downloadable files, 3D models and Jupyter Notebooks (Python codes)
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- Access all downloads, pdf guides & Jupyter notebooks.
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What students say
Your Tutor
Hi, I’m Seán, the founder and lead tutor at DegreeTutors.com. I’m also a senior lecturer in Structural Engineering at the University of Exeter, a leading UK university. I’m a Chartered Engineer and Fellow of the Higher Education Academy. DegreeTutors is designed to support students and construction industry professionals in enhancing their engineering analysis and design capabilities.
Whether you want to sharpen up on the basics of constructing shear and moment diagrams or want to better understand how to analyse complex indeterminate structures (with or without a computer), by taking courses with me on DegreeTutors you’ll build the knowledge and skills you need.
DegreeTutors courses are designed to help you develop the intuition for structural behaviour that all good engineers need.Â
Dr Seán Carroll
B.Eng (Hons), M.Sc, Ph.D, CEng MIEI, FHEA
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