Building a Luxury 3D Engineering Simulator in WebGL: Next.js 14, Three.js, and Real-Time Physics

If you have ever taken a college-level mechanical engineering or physics course, you are intimately familiar with this pain:

You are studying Euler–Bernoulli beam flexure , Fourier thermal conduction networks , or crystalline slip planes , and your only visual aids are either:

Static 2D textbook cross-sections with cryptic arrows from the 1980s.

Clunky, gray Java applets or MATLAB scripts that feel like Windows 95.

Governing equations in physics describe continuous spatial fields: curvatures, thermal gradients, atomic packing, and fracture energies. Staring at static formulas like:

$$\delta_{max} = \frac{P L^3}{48 E I} \quad \text{or} \quad r_{crit} = \frac{k}{h}$$

often fails to convey the physical intuition behind how structures respond when physical constraints change.

I wanted to fix that.…