HISTORICAL DRAWING · 1954

Geodesic structure

What axial stress follows for one idealized loaded strut?

R. B. Fuller, US 2,682,235 "Building Construction", sheet 1 (geodesic dome)
R. B. Fuller, US 2,682,235 "Building Construction", sheet 1 (geodesic dome). View the original source and attribution ↗

A contemporary sketch model

Every number below is a modern illustrative assumption. The historical drawing supplies a question; the source model is an exercise in reasoning about it.

force = 2000 N in 1000..4000 "Assumed axial force from external load analysis"
area = 100 mm^2 "Assumed strut cross-sectional area"
allowable = 50 MPa "Illustrative material stress allowance"
stress := force/area [MPa]
margin := allowable/stress
check material: stress <= allowable
check marginBudget: margin >= 1.5
sweep Load: force = 1000, 2000, 4000 N

Model limits

Single-member axial stress only; not a dome stiffness solve, FEA, buckling check or code-compliant building design.

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This example includes a scalar sweep. Use napkin_sketch to add the model and napkin_run to inspect the sweep; the source editor’s scalar comparison view is for simple scenarios.

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