In this lecture, we'll cover:

• Setting up and analysing a larger truss structure using our Python/Jupyter Notebook code
• Defining nodal coordinates, member connectivity and restrained degrees of freedom
• Constructing and applying the global force vector efficiently
• Interpreting graphical and text-based outputs, including member forces, deflections and reactions
• Using analysis results as a foundation for structural design (beyond the course scope)

In this lecture, we move beyond small examples that we could easily process by hand and analyse a significantly larger truss using our developed code. We begin by carefully numbering nodes, identifying degrees of freedom and compiling a table of nodal coordinates, emphasising the importance of clear preliminary organisation even when using software. We then define material properties, cross-sectional area and member connectivity (grouped into perimeter, vertical and diagonal members), before specifying restrained degrees of freedom corresponding to the supports.

We also construct the global force vector in an efficient way by initialising a zero vector and selectively overriding entries to apply the required loads, paying close attention to the distinction between array indices and degree of freedom numbers. After running the analysis, we interpret the outputs: identifying tension and compression members from the colour-coded plot, examining the deflected shape, extracting specific nodal displacements from the detailed text output, and reviewing member forces and support reactions. By the end, we have a complete structural analysis and all the information required to proceed to design, even though detailed design itself is beyond the scope of the course.

Next up:

In the next lecture, we analyse a statically indeterminate truss, encounter zero-force members for the first time, and reflect on possible improvements to the code.