# Concrete Dome Design AI Agent Connect

> Structural analysis for concrete thin-shell dome structures.

## Overview
- **Category:** construction
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_BOdl5MijPm8pn0EqGNDKg3bpzJJmaYvqC26GAnQ0/ai-agent-connect
- **Tags:** concrete, dome, thin-shell, structural, engineering

## Description

This MCP server provides specialized structural engineering tools for designing concrete thin-shell domes. It uses membrane theory to calculate critical dimensions and stability. Use `calculate_shell_thickness` to determine required thickness, `calculate_reinforcement` for steel requirements, `calculate_support_forces` for base reactions, and `validate_stability` to check for buckling risks.

## Tools

### calculate_shell_thickness
Determines the required concrete thickness to satisfy both material strength and buckling stability

### calculate_support_forces
Calculates the reaction forces at the base of the dome

### calculate_reinforcement
Determines the amount of steel reinforcement needed to handle tensile stresses and prevent cracking

### validate_stability
Evaluates if a designed dome is at risk of sudden collapse due to buckling or imperfections

## Prompt Examples

**Prompt:** 
```
What is the required thickness for a 20m diameter dome with a 5m rise, 10 kN/m² load, and 30 MPa concrete?
```

**Response:** 
```
The required thickness is 120 mm with a buckling safety factor of 2.4.
```

**Prompt:** 
```
Calculate the support forces for a 15m diameter dome, 4m rise, 5 kN/m² load, using a pinned support.
```

**Response:** 
```
The vertical reaction is 441.78 kN and the horizontal thrust is 147.26 kN.
```

**Prompt:** 
```
How much steel reinforcement is needed for a 10m diameter, 3m rise dome with 8 kN/m² load and 100mm thickness using 25 MPa concrete?
```

**Response:** 
```
The required meridional steel area is 450 mm² and the hoop steel area is 320 mm², with a suggested maximum spacing of 250 mm.
```

## Frequently Asked Questions

**How do I determine the required thickness for my dome?**
You can use the `calculate_shell_thickness` tool. Provide the diameter, rise, design load, and concrete strength to get the minimum thickness in mm and the buckling safety factor.

**Can I check if my design is stable against buckling?**
Yes, the `validate_stability` tool evaluates if your design meets safety margins by comparing the design load against the calculated buckling capacity.

**What kind of support conditions are supported?**
The tool supports both 'pinned' and 'fixed' support conditions via the `calculate_support_forces` tool.