In this section, we'll cover:

• Revisiting the direct stiffness method through a further worked example
• Scaling up from a 2‑bar truss to an 8‑bar truss
• Reviewing the full solution process conceptually before coding
• Implementing the 8‑bar truss solution in Python

In this lecture, we build on our understanding of the direct stiffness method by working through a more substantial example: an 8‑bar truss. Although the structure is larger than the earlier 2‑bar example, the underlying methodology remains exactly the same. We revisit the complete solution process conceptually, before moving on to implement the same solution in Python.

We emphasise that scaling up the structure does not change the core procedures — assembling stiffness matrices, applying boundary conditions, and solving for unknowns all follow the same logic as before. This example therefore serves to strengthen our confidence and fluency with the method. You are encouraged to attempt the problem independently before reviewing the guided solution, as actively working through the implementation significantly deepens your understanding and coding proficiency.

Next up:

In the next lecture, we work through the 8-bar truss example by calculating each element's orientation angle and global stiffness matrix.