Simulations Tools

Physics-accurate simulations powered by Python and SciPy. Enter your parameters and get full numerical solutions with interactive charts — all running in real time.

Civil / Structural

Beam Deflection

Compute deflection curve, shear force diagram, and bending moment diagram for a simply supported beam under po…

EI d²y/dx² = M(x)

RC / RLC Circuit

Simulate voltage and current response of RC or RLC circuits using RK45 numerical integration. See time constan…

τ = RC | ωn = 1/√(LC) | ζ = R/(2√(L/C))

Spring-Mass-Damper

Simulate the displacement and velocity response of a 1-DOF spring-mass-damper system under step, impulse, or s…

m·ẍ + c·ẋ + k·x = F(t)

Projectile with Air Drag

Compare the actual drag-affected trajectory against the no-drag parabola. Uses quadratic air resistance F=½Cdρ…

F_drag = ½ Cd ρ A v²

Mechanical / Thermal

1D Heat Conduction

Solve the 1D transient heat equation ∂T/∂t = α ∂²T/∂x² using explicit finite differences. Returns the steady-s…

∂T/∂t = α ∂²T/∂x²

Chemical / Civil

Calculate pressure drop, friction factor, Reynolds number, and head loss in a pipe using the Darcy-Weisbach eq…

ΔP = f · (L/D) · (ρv²/2)