pnge-mechanics

Calculate statics, mechanics of materials, and fluid statics for petroleum engineering.

Updated Mar 5, 2026
One-click install
npx skills add https://github.com/jpfielding/claude.pnge --skill pnge-mechanics
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: pnge-mechanics
Source: https://github.com/jpfielding/claude.pnge/tree/main/skills/pnge-mechanics
Command: npx skills add https://github.com/jpfielding/claude.pnge --skill pnge-mechanics

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill provides a comprehensive toolkit for solving statics, mechanics of materials, and fluid statics problems commonly encountered in petroleum engineering, automating complex calculations and providing clear, step-by-step solutions.

Core Features & Use Cases

  • Statics & Force Equilibrium: Analyze truss structures, calculate beam support reactions, and solve free body diagrams.
  • Axial Stress & Strain: Compute stress, strain, and deformation in casing and tubing under mechanical and thermal loads.
  • Beam Bending: Determine bending stress, shear forces, and deflections for various loading scenarios.
  • Thick-Walled Cylinders: Calculate stresses in casing and tubing under internal and external pressures using Lame equations.
  • Mohr's Circle: Perform stress transformations and find principal stresses for in-situ stress analysis.
  • Fluid Statics: Calculate hydrostatic pressure, buoyancy forces, and wellbore pressure profiles.
  • Use Case: A petroleum engineering student needs to calculate the maximum bending stress in a drill collar spanning between stabilizers under a distributed side load. This Skill can perform that calculation, providing the stress value and deflection.

Quick Start

Calculate the maximum bending stress for a drill collar with 6.75-inch OD, 2.25-inch ID, spanning 30 ft, with a side load of 500 lb/ft.

Frequently Asked Questions about pnge-mechanics

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calculate bending stress and deflection for a drill collar under a distributed side load?

To calculate bending stress and deflection for a drill collar, this Skill computes beam bending forces using standard mechanics formulas. You provide the outer diameter, inner diameter, span length, and side load to receive the maximum stress value and deflection.

Can I use Lame equations to calculate thick-walled casing stresses under internal and external pressures?

Yes, you can calculate stresses in casing and tubing using Lame equations for thick-walled cylinders. The Skill computes radial and hoop stresses by taking your cylinder dimensions along with the internal and external pressure values.

How do I find principal stresses using Mohr's circle for in-situ stress analysis?

Finding principal stresses using Mohr's circle involves performing stress transformations on your input stress tensor. The Skill applies standard mechanics of materials equations to calculate the maximum and minimum principal stresses and their orientation angles.

Does this Skill compute hydrostatic pressure and buoyancy forces for wellbore fluid profiles?

Yes, this Skill computes hydrostatic pressure and buoyancy forces for wellbore fluid profiles. It uses fluid statics principles to calculate pressure at specific depths and buoyancy effects based on displaced fluid volume and density.

What is the best way to analyze force equilibrium and truss structures for petroleum engineering applications?

The best way to analyze force equilibrium and truss structures is by evaluating free body diagrams mathematically. This Skill solves static equilibrium equations to determine support reactions and individual member forces for your structural inputs.

Can I compute axial stress and strain in casing under combined mechanical and thermal loads?

Yes, you can compute axial stress and strain in casing under combined mechanical and thermal loads. The Skill calculates total deformation and stress by applying standard mechanics of materials formulas to your specified load and temperature parameters.