Series A — Papers → Tools | Engineering Tools

Papers → Tools

Technical paper transformed into a step-by-step closed-form calculation pipeline

Technical papers publish methods. This series makes them usable.

Each tool takes a method from a peer-reviewed paper and restructures it as a transparent calculation chain: geometry and material go in, engineering quantities come out. Every node has declared inputs, a formula, and declared outputs. The numerical case is worked through step by step so that every intermediate value is visible and verifiable.

Where the source paper contains errors — wrong units, inconsistent constants, conflated quantities — they are identified, corrected, and documented with the reasoning behind the correction.

Each tool ships with a Python notebook (numpy + matplotlib, no other dependencies) that runs on Google Colab. Change the input cell, press Run All, get your result. No installation, no environment setup.

What this is not: a library, a software package, or a black box. It is a set of documented, transparent calculations that you can read, check, and modify.

Hertz contact pressure distribution under a ball bearing inner ring — bearing 6206 at 1000 N radial load

Hertz Contact Stress in Deep Groove Ball Bearings — Analytical Pipeline

Given a bearing and a radial load → maximum subsurface shear stress → engineering verdict. Pipeline, notebook, and verification case for bearing 6206.

N*: The Spectrum of Geometric Efficiency

Concrete Penetration Depth — Analytical Pipeline (Li & Chen 2003)

From projectile geometry and impact velocity to penetration depth — dimensionless formulation, regime selection (shallow/deep), and numerical verification against 82 test points.

Fatigue Life of Notched Plates — Analytical Pipeline (Hazizi 2023)

10-node analytical pipeline for fatigue life of plates with semicircular notches, with corrections to Hazizi et al. (2023).

Thick-Walled Cylinder Stress Analysis — Analytical Pipeline (Croccolo 2009)

From internal pressure and geometry to radial/hoop stress distribution — Lamé equations, pipeline, notebook, and numerical verification.

Papers → Tools#

Papers → Tools