In this section, we'll cover:

• How to implement the previous direct stiffness method solution in Python
• How to generalise the code so it can be reused for different structural problems
• How to write a function that automatically assembles the primary stiffness matrix from individual element stiffness matrices
• How to structure code in preparation for a fully generalised solution algorithm

In this lecture, we build on our previous implementation of the direct stiffness method and focus on making our Python code more general and reusable. Rather than manually assembling the primary stiffness matrix by concatenating individual element stiffness matrices, we develop a function that automatically inserts each element’s contribution into the correct position. This helps us move away from problem-specific scripts towards a more flexible and scalable solution approach.

We also use this as an opportunity to strengthen our understanding of how the direct stiffness method translates into code. By refining and evolving our earlier solution, we prepare the groundwork for a fully generalised algorithm that can accept input data and produce solutions automatically, without manual intervention.

Next up:

In the next lecture, we write a function to automatically assemble the primary stiffness matrix, removing the need for manual placement of element contributions.