Free Engineering Tools
Reynolds number, beam deflection, pumps, Hooke's law, Euler buckling
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Reynolds Number
Re = v·L/ν — flow regime (laminar / turbulent)
OpenBeam Deflection (Center)
Simply supported beam, point load: δ = PL³/(48EI)
OpenBeam Moment (Uniform Load)
Simply supported beam, uniform load: M_max = qL²/8
OpenCantilever Beam
Point load at free end: δ = PL³/(3EI)
OpenAxial Stress
σ = F/A and factor of safety
OpenPipe Flow Velocity
v = Q / A from flow rate and diameter
OpenPump Power
P = ρgQH / η
OpenHeat Conduction
Steady-state: Q = k·A·ΔT / L
OpenPower and Torque
P = T·n / 9550 (kW, N·m, rpm)
OpenGear Ratio
Output speed and torque of gearbox
OpenDynamic Pressure
q = ½ρv² and head v²/(2g)
OpenHooke's Law
σ = E·ε, ε = ΔL/L
OpenHydraulic Cylinder
F = p·A, A = πD²/4
OpenShell Thickness
Thin-walled vessel: t = PR/(S·E − 0.6P)
OpenEuler Critical Load
P_cr = π²EI / (KL)²
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