Documenting insights and engineering observations.
A public archive of engineering, manufacturing, software, and workflow learnings accumulated during the development of Algorithmica Labs.
A detailed study of the involute curve, its parametric equations, the fundamental law of gearing, center-distance insensitivity, straight-sided hob cutting loops, and first-angle vs. third-angle regional projection ray tracing.
An exploration of descriptive geometry, orthographic projections, the cognitive load of engineering designs, tolerance stack-up analysis, modular design trade-offs, and baseline dimensioning relative to datums.
An exploration of the Principle of Virtual Work, generalized coordinates, potential energy landscapes, and multi-degree-of-freedom stability criteria in mechanical systems.
An exploration of second moments of area, the parallel axis theorem, neutral axis rotation under asymmetric loads, and mass eccentricity balancing in rotating machinery.
An exploration of core mathematical models in tribology, sliding vs tipping limits, wedge locking, and power screw torque efficiency equations.
A deep-dive study of continuous integration in engineering statics: exploring the core mathematical models, first-principles proofs, spatial visualizations, real-world industrial failures, and how these physical principles are represented within modern CAD boundary kernels and Enterprise PLM schemas.
An investigation of force transmission taxonomies in trusses, frames, and machines; mathematical criteria for zero-force members (ZFMs) with structural bracing realities; thermal stress constraints; and a mechanical analysis of toggle clamp force multiplication.
An exploration of bounded force vectors, the rigid-body Principle of Transmissibility and its continuum limits, a mathematical proof of couple moment invariance, and mapping structural constraints into digital Product Lifecycle Management (PLM) schemas.