GEOMETRY · STRUCTURAL MECHANICS

Loadpath.

Move a load and see how an idealized truss distributes its forces.

AXIAL TRUSS MODEL · 81 MEMBERSITERATION 00 / 70
500 N360 mm
Compression TensionDeformation ×30
Minimum-area members remain in the model and are drawn faintly.
Maximum displacement0.424 mmUnamplified result
Compliance reduction0.0%Same material budget and load
Relative equilibrium residual2.3e-14Computed at free degrees of freedom
Material 42.7 cm³Compliance 206.73 N·mmElastic modulus 200 GPa

A REAL SOLVER, WITH BOUNDARIES

Geometry follows
the load.

Each bar has an axial stiffness of EA/L. The solver assembles the stiffness matrix, applies the supports, and calculates displacement, member forces, and reactions. Optimization reallocates cross-sectional areas to reduce compliance, fᵀu, at a fixed material volume.

The original comparison uses the same load, geometry, and volume. Bars retain at least 0.12 mm² to preserve the analyzed connections. Colors show signed axial force; width represents area. The diagram exaggerates deformation by the displayed factor.

This is an educational, linear elastic truss model. It does not check buckling, yielding, fatigue, joint strength, self-weight, or manufacturing. Exported diagrams and analysis are study materials.

Research reference: matrix analysis of trusses ↗

The person behind the project

A note from Luis.

I enjoy architecture as a way to think about dependencies: a change in one place has consequences elsewhere. This idealized truss makes force paths visible. It does not certify a real structure or substitute for a physical test.

Who it helps

People learning how loads travel through a structure.

Try this

Move the load position, start the solver, and compare which members need more material.

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