From cb71b47b8c1aa7ee10a9d86b794d80118596dd49 Mon Sep 17 00:00:00 2001 From: Juney Lee Date: Mon, 11 Nov 2024 23:13:39 +0000 Subject: [PATCH] GITBOOK-79: better images for horizontal equilibrium --- gitbook/.gitbook/assets/RV2_sequence-04.png | Bin 0 -> 84397 bytes .../.gitbook/assets/RV2_sequence-05_angles.png | Bin 0 -> 92426 bytes .../assets/RV_dual-diagram_edges_rotated.png | Bin 0 -> 84891 bytes gitbook/SUMMARY.md | 8 ++++---- gitbook/manual/horizontal-equilibrium.md | 10 ++++++++-- 5 files changed, 12 insertions(+), 6 deletions(-) create mode 100644 gitbook/.gitbook/assets/RV2_sequence-04.png create mode 100644 gitbook/.gitbook/assets/RV2_sequence-05_angles.png create mode 100644 gitbook/.gitbook/assets/RV_dual-diagram_edges_rotated.png diff --git a/gitbook/.gitbook/assets/RV2_sequence-04.png b/gitbook/.gitbook/assets/RV2_sequence-04.png new file mode 100644 index 0000000000000000000000000000000000000000..1901c2f764860368133917668b39eb6a378d9f8f GIT binary patch literal 84397 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z{G?L7$0gZ0!h*f=s)mS~9_^j+(n`Hb+*8r{(51{qs*irFZ2M~!77~*%(Z#l!1*M`) zdk>N9NS30cb0wZdw)Ya)q!)P$zC-j&PeToy;~Lx8b{3kBdHF$^vrCz#g|fSa1f|DH zAv~0LP}Lx6+>mPLc{``b%xT=cM9K9TiO1;AP)Lfq*4!kkt7@UBpMCf9P6GeC5+Ks^ cJf-N}mc~65M{VKu5fsYR<;Z~w=b$V90^xiF-2eap literal 0 HcmV?d00001 diff --git a/gitbook/SUMMARY.md b/gitbook/SUMMARY.md index daa9931..fb59a57 100644 --- a/gitbook/SUMMARY.md +++ b/gitbook/SUMMARY.md @@ -22,10 +22,10 @@ * [2a. Identify Supports](manual/boundary-conditions.md) * [2b. Relax Pattern](manual/2.-define-boundary-conditions/boundary-conditions-1.md) * [2c. Update Boundaries](manual/2.-define-boundary-conditions/boundary-conditions-2.md) -* [3. Form diagram](manual/diagrams.md) -* [4. Force diagram](manual/equilibrium.md) -* [5. Horizontal equilibrium](manual/horizontal-equilibrium.md) -* [6. Vertical equilibrium](manual/fitting.md) +* [3. Form Diagram](manual/diagrams.md) +* [4. Force Diagram](manual/equilibrium.md) +* [5. Horizontal Equilibrium](manual/horizontal-equilibrium.md) +* [6. Vertical Equilibrium](manual/fitting.md) * [7. Modify Diagrams](manual/7.-modify-diagrams/README.md) * [7a. Modify FormDiagram](manual/7.-modify-diagrams/supports.md) * [7b. Modify ForceDiagram](manual/7.-modify-diagrams/supports-1.md) diff --git a/gitbook/manual/horizontal-equilibrium.md b/gitbook/manual/horizontal-equilibrium.md index bb4d73c..8b45fdf 100644 --- a/gitbook/manual/horizontal-equilibrium.md +++ b/gitbook/manual/horizontal-equilibrium.md @@ -1,4 +1,4 @@ -# 5. Horizontal equilibrium +# 5. Horizontal Equilibrium | | | | | ----------------------------------------------------------------------------------- | ------------------------------------------------------------------------------- | --------------------------------------------------------------------------------------------------------------------------- | @@ -6,7 +6,13 @@ `RV_tna_horizontal` geometrically reconfigures the the edges of the `ForceDiagram`, such that the corresponding edges of the `FormDiagram` and `ForceDiagram` become parallel to each another (in the conventional graphic statics sense), or perpendicular (the 90° rotated, RhinoVAULT convention). The resulting `ForceDiagram` and `FormDiagram` are _reciprocal_ when the two diagrams are topological duals of the other and all pairs of corresponding edges are parallel (within tolerance). -

After horizontal equilibrium has been found, the form and force diagrams are now reciprocal.

+ + +

Dual FormDiagram and ForceDiagram

+ +

After horizontal equilibrium has been found, the form and force diagrams are now reciprocal. The perpendicular representation of the force diagram is the convention used in RhinoVAULT. This convention is also known as the Maxwell convention.

+ +

The same force diagram can be rotated 90 degrees, after which the corresponding edges are now parallel to each other. This is the standard convention used in most graphic statics literature and applications, and is also knowns as the Cremona convention or diagrams.

***