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---
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layout:
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title:
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description:
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tableOfContents:
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outline:
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pagination:
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---
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# Barrel Vault
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<figure><img src="../../.gitbook/assets/barrel_8.png" alt=""><figcaption></figcaption></figure>
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A barrel vault is unique because its edges orthogonal to the arches carry almost no load (e.g., **1e-5**), while the edges along the arches share the same internal horizontal force (e.g., **2**). The exception occurs at the boundary, where half of the horizontal force is used (e.g., **1**) for the small tributary area. Due to this special force distribution, the force diagram collapses into a single line.
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## Create Pattern
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{% file src="../../.gitbook/assets/rhinovault_barrel (1).3dm" %}
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**Command:** `RV_pattern` > `RhinoMesh`
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***
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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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## 1. Create Pattern
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{% file src="../../.gitbook/assets/rhinovault_barrel (1).3dm" %}
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**Command:** `RV_pattern` > `RhinoMesh`
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{% file src="../../.gitbook/assets/rhinovault_barrel_0.json" %}
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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/barrel_0 (1).png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assets/rhinovault_barrel_0.json" %}
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***
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## Identify Supports
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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/barrel_1 (1).png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assets/rhinovault_barrel_1.json" %}
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<figure><img src="../../.gitbook/assets/barrel_1 (1).png" alt=""><figcaption></figcaption></figure>
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***
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## Form Diagram
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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/barrel_2 (1).png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assets/rhinovault_barrel_2.json" %}
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<figure><img src="../../.gitbook/assets/barrel_2 (1).png" alt=""><figcaption></figcaption></figure>
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***
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## Modify Form Diagram
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## 4. Modify Form Diagram
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**Command:** `RV_form_modify`> `Edge Constraints` > `Manual`\
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Set the horizontal edge constraints (h\_min and h\_max) to: a) 0.00001, b) vertical edges to 2, and c) vertical boundary edges to 1. This is done because horizontal edges ideally carry no load, and boundary arches have a tributary area twice as large as the outer ones.
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{% file src="../../.gitbook/assets/rhinovault_barrel_3.json" %}
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<figure><img src="../../.gitbook/assets/barrel_3 (1).png" alt=""><figcaption></figcaption></figure>
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<figure><img src="../../.gitbook/assets/barrel_4 (1).png" alt=""><figcaption></figcaption></figure>
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<figure><img src="../../.gitbook/assets/barrel_5 (1).png" alt=""><figcaption></figcaption></figure>
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## Force Diagram
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{% file src="../../.gitbook/assets/rhinovault_barrel_3.json" %}
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***
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## 5. 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/barrel_6 (1).png" alt=""><figcaption><p>.</p></figcaption></figure>
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{% file src="../../.gitbook/assets/rhinovault_barrel_4.json" %}
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<figure><img src="../../.gitbook/assets/barrel_6 (1).png" alt=""><figcaption><p>.</p></figcaption></figure>
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***
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## Horizontal Equilibrium
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## 6. Horizontal Equilibrium
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**Command:** `RV_tna_horizontal` > `Iterations` > `1000`
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Set the iteration to 1000 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/barrel_7 (1).png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assets/rhinovault_barrel_5.json" %}
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<figure><img src="../../.gitbook/assets/barrel_7 (1).png" alt=""><figcaption></figcaption></figure>
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***
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## Vertical Equilibrium
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## 7. Vertical Equilibrium
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**Command:** `RV_tna_vertical`&#x20;
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The final geometry is computed by running the vertical equilibrium command, keeping the z-height unchanged. For preview, we use the following options:`RV_settings > Drawing > show_pipes` and `show_forces`.
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{% file src="../../.gitbook/assets/rhinovault_barrel_6.json" %}
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<figure><img src="../../.gitbook/assets/Artboard 10.png" alt=""><figcaption></figcaption></figure>
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{% file src="../../.gitbook/assets/rhinovault_barrel_6.json" %}

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