A glassmorphic reference library for mechanical systems. Browse frosted panels of knowledge covering gears, linkages, thermodynamics, and fluid mechanics -- intricate organisms viewed through layers of translucent glass.
Spur, helical, bevel, and worm gears transmit rotational force between shafts. Gear ratio determines the trade-off between torque and speed in any power train.
Four-bar linkages convert rotary motion to complex output paths. The Grashof condition determines whether a full rotation is possible: the sum of the shortest and longest links must be less than the sum of the remaining two.
The Carnot, Otto, Diesel, and Rankine cycles describe idealized processes for heat engines and refrigeration. Efficiency is bounded by the temperatures of hot and cold reservoirs.
Hooke's law governs elastic deformation: F = -kx. Compression, extension, and torsion springs store potential energy for mechanisms requiring controlled release or dampening.
Bernoulli's principle relates pressure, velocity, and elevation in fluid flow. Viscosity, Reynolds number, and turbulence govern the behavior of hydraulic and pneumatic systems.
Ball, roller, needle, and plain bearings reduce friction between moving parts. Selection depends on load direction (radial vs. axial), speed, and operating conditions. Proper lubrication extends service life exponentially.
| Property | Symbol | Unit | Formula |
|---|---|---|---|
| Torque | τ | N·m | τ = F × r |
| Power | P | W | P = τ × ω |
| Gear Ratio | i | — | i = Ndriven / Ndriver |
| Spring Force | F | N | F = -k × x |
| Reynolds Number | Re | — | Re = ρvL / μ |
| Carnot Efficiency | η | % | η = 1 - Tc/Th |
| Stress | σ | Pa | σ = F / A |
| Strain | ε | — | ε = ΔL / L0 |
| Young's Modulus | E | Pa | E = σ / ε |
| Moment of Inertia | I | kg·m² | I = Σ miri² |