FEAscript

An online FEA solver for beginners to understand how 1D and 2D elements are calculated in FEM.

FEAScript is an interactive, browser-based Finite Element Analysis (FEA) educational tool. It is designed to teach users the core concepts of structural engineering—Nodes, Elements, Boundary Conditions, and Forces—through real-time, interactive solvers. The project features a premium marketing frontend and highly functional, dark-themed calculation workspaces.

Tech Stack

• Frontend: React (TypeScript), Vite
• Styling: Custom CSS with Glassmorphism
• Math Engine: mathjs (for matrix operations and system solving)
• 3D Visualization: React Three Fiber / Drei (for 2D/3D visualizations)

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User Manual

1. 1D Spring Solver

The 1D Spring Solver allows you to analyze systems of interconnected linear springs.

How to Use:

1. Define Nodes: Add nodes to define the connection points of your springs. Each node requires an X coordinate.
2. Apply Boundary Conditions: If a node is attached to a wall or ground, check the Fix X box. This sets its displacement to zero.
3. Apply Loads: Enter a force value in the Fx field for any node where a load is applied.
4. Define Elements: Connect your nodes by adding Spring Elements. Specify the start node (Node 1), end node (Node 2), and the spring stiffness constant (k).
5. Solve: Click the Solve System button. The application will calculate the nodal displacements, reaction forces at fixed supports, and the internal tension/compression forces in each spring.

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2. 1D Axial Bar Solver

The 1D Axial Bar Solver is used for studying axially loaded bars with varying cross-sections.

How to Use:

1. Define Nodes: Similar to springs, define nodes along the X-axis where the bar changes cross-section, material, or where loads/supports act.
2. Apply Boundary Conditions: Check Fix X for nodes anchored to a rigid support.
3. Apply Loads: Apply axial forces (Fx) at specific nodes.
4. Define Elements: Represent sections of the bar as elements connecting two nodes. For each element, you must provide:
   • A: Cross-sectional Area
   • E: Young's Modulus (Elastic Modulus) of the material
5. Solve: Click Solve System to calculate displacements, reactions, and the internal axial forces.

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3. 2D Truss Analysis

The 2D Truss Solver lets you design and analyze complex two-dimensional truss structures (e.g., bridges, roof frames).

How to Use:

1. Define Nodes (2D): Add nodes with both X and Y coordinates to form the geometry of your truss.
2. Boundary Conditions: You can restrict movement in either the X-direction (Fix X), Y-direction (Fix Y), or both (a pinned support). A roller support would only have one axis fixed.
3. Apply Loads: Apply horizontal (Fx) and vertical (Fy) forces to any node.
4. Define Elements: Add truss members by connecting nodes. Specify:
   • A: Cross-sectional Area
   • E: Young's Modulus (The length and angle of each member are calculated automatically based on the node coordinates).
5. Solve & Visualize: Click Solve System.
   • A data table will display the exact X/Y displacements, reaction forces, and internal forces.
   • An interactive 3D/2D Canvas will render below the table, showing the original structure (ghosted) and the deformed structure (solid). Tension members are highlighted in green, and compression members in red.

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Local Development

To run this project locally:

npm install
npm run dev

Navigate to http://localhost:5173/ to view the application in your browser.