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finding:perfectly-triangulated-scissors-truss-had-low-bending-moments-and-shears-all-within-capacity

Perfectly triangulated scissors truss had low bending moments and shears, all within capacity

The efficient triangulated model showed excellent structural behavior.

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Claims (1)

claim

The deep nature of space appears to be so profound that just the geometric unfolding, when done properly, leads to results which make sense from an engineering point of view.
supports
The mystery that beautiful geometry often yields good structural behavior is acknowledged but not yet fully explained mathematically.

Related by similarity (8)

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Scissors truss tension straight member carried almost no tension; major tension went around arch itselffinding0.797
Detailed review of forces disproved the initial assumption that a straight tension tie was essential.
Thick version of scissors truss became squat and ugly when members were widened to 6-9 inchesfinding0.762
Aesthetic failure when moving from theoretical lines to real dimensions.
First plant-like truss: shear force of 7,400 lbs in top chord near peak (exceeding 3,344 lbs capacity); high shears in arch (4-8,000 lbs); high shear in edge member (8,000 lbs)finding0.737
Finite element analysis identified three critical shear problem areas in the first beautiful design.
When you use nicely shaped triangles, the triangles naturally get smaller where the area of the truss gets tighter, corresponding to the zone with the biggest flow of forces.claim0.736
Observation about the cooperation between geometric features and structural features.
Finite element analysis of first curved truss showed huge shears at base and excessive moments in curvesfinding0.734
First step of finite element analysis on a curved tracery truss revealed bad structural behavior.
The very same positive space which creates a truss's beauty also creates its structural stability and good structural behavior.claim0.729
Direct connection between aesthetic quality and engineering performance.
Intuitively sketched trusses placing members to create field of centers were almost at once confirmed efficient by finite element analysisfinding0.721
Key empirical result showing that aesthetic/structural intuition guided by living-center logic produces mechanically efficient designs.
Approximate calculations with symmetries gave accurate experimental results for architectural wholeness (Book 1, appendix 6).finding0.708
Empirical validation of the theory of centers in architecture.