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gitbook/SUMMARY.md

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* [Barrel Vault](examples/historical-typologies/barrel-vault.md)
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* [\*Cross Vault](examples/historical-typologies/barrel-vault-1.md)
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* [\*Fan Vault](examples/historical-typologies/barrel-vault-3.md)
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* [Pillow Vault](examples/pillow-vault.md)
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* [Pillow Vault](examples/historical-typologies/pillow-vault.md)
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## NEXT STEPS
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---
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# Pillow Vault
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<figure><img src="../../.gitbook/assets/examples_pillow_vault.png" alt=""><figcaption></figcaption></figure>
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A pillow vault is a type of vaulted ceiling with convex, pillow-like sections, often formed by intersecting barrel vaults or domes, creating a smooth, rounded appearance. It is a simplest example where all mesh boundary vertices are set as supports.
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{% file src="../../.gitbook/assets/examples_pillow_vault.3dm" %}
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***
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## 1. Create Pattern
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**Command:** `RV_pattern` > `RhinoMesh`
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Create a pattern from a mesh. You can start with the attached Rhino file or a session file.
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<figure><img src="../../.gitbook/assets/examples_pillow_vault_0.png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assetsexamples_pillow_vault_0.json" %}
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***
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## 2. Identify Supports
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**Command:** `RV_pattern_supports` > `Add`> `Manual`> `Select Vertices`
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Manually set the boundary points on the top and bottom edges of the mesh.
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<figure><img src="../../.gitbook/assets/examples_pillow_vault_1.png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assets/examples_pillow_vault_1.json" %}
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***
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## 3. Form Diagram
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**Command:** `RV_form`
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The mesh geometry is converted into a line preview, marked with green lines.
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<figure><img src="../../.gitbook/assets/examples_pillow_vault_2.png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assets/examples_pillow_vault_2.png" %}
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***
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## 4. Force Diagram
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**Command:** `RV_force`
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On the right side, the force diagram is created with TextDots marking the angle deviation between the form edge and its 90-degree rotated force edge. In the next step, horizontal equilibrium will be applied to reduce this deviation to zero.
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<figure><img src="../../.gitbook/assets/examples_pillow_vault_3.png" alt=""><figcaption><p>.</p></figcaption></figure>
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{% file src="../../.gitbook/assets/examples_pillow_vault_3.png" %}
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***
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## 5. Horizontal Equilibrium
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**Command:** `RV_tna_horizontal`
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Leave default parameters as is to reach the horizontal equilibrium. Since horizontal segments have almost no force, the force diagram collapses to a line.
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<figure><img src="../../.gitbook/assets/examples_pillow_vault_4.png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assets/examples_pillow_vault_4.png" %}
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***
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## 6. Vertical Equilibrium
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**Command:** `RV_tna_vertical` > `2`
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The final geometry is computed by running the vertical equilibrium command, change the height to 2 to match the preview. For preview, we use the following options:`RV_settings > Drawing > show_pipes` and `show_forces`.
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<figure><img src="../../.gitbook/assets/examples_pillow_vault_5.png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assets/examples_pillow_vault_5.png" %}

gitbook/examples/pillow-vault.md

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