pnge-mechanics

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.