Structural Engineering
2D Truss Analyzer
A real-time 2D truss solver using the Direct Stiffness Method with animated deformed shape, color-coded member forces, load-deflection sweep, and exportable member data.
Model
2D Truss
5 nodes, 7 elements
Solver
Direct Stiffness
Gaussian elimination
Output
CSV
Export ready
Parameters
Load preset
Animated load sweep (B)
Direct Stiffness Method
Global System
[K]{U} = {F}
Element Stiffness
k = (E × A) / L
Member Force
f = k(−c·u₁ − s·v₁ + c·u₂ + s·v₂)
Max deflection: 0.503 mm at current loads.
E = 200 GPa (steel). Gaussian elimination with partial pivoting.
Deformed Shape Diagram
Max Deflection
0.503mm
Max Tension
7.51kN
Max Compression
10.52kN
Active Members
7
Load-Deflection Sweep
Member Forces
| Member | Length (m) | Force (kN) | Type |
|---|---|---|---|
| AB | 4.00 | 5.83 | Tension |
| BC | 4.00 | 4.17 | Tension |
| DE | 4.00 | -8.33 | Compression |
| AD | 3.61 | -10.52 | Compression |
| BD | 3.61 | 4.51 | Tension |
| BE | 3.61 | 7.51 | Tension |
| CE | 3.61 | -7.51 | Compression |