Stretch Length Formula:
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Definition: This calculator estimates the stretch length of a pipe when subjected to an axial force, based on Hooke's Law for elastic deformation.
Purpose: It helps drilling engineers determine pipe stretch in stuck pipe situations, which is crucial for calculating free point and determining where the pipe is stuck.
The calculator uses the formula:
Where:
Explanation: The stretch is directly proportional to the force and original length, and inversely proportional to the material stiffness (E) and cross-sectional area.
Details: Accurate stretch calculation helps in determining the free point of stuck pipe, which is essential for fishing operations and preventing pipe failure during retrieval.
Tips: Enter the force in Newtons, original pipe length in meters, Young's modulus (default 2.1e11 Pa for steel), and cross-sectional area in m². All values must be > 0.
Q1: What is Young's Modulus?
A: It's a measure of material stiffness. For steel pipes, it's typically 2.1 × 10¹¹ Pa (210 GPa).
Q2: How do I calculate cross-sectional area?
A: For a pipe, A = π × (OD² - ID²)/4, where OD is outer diameter and ID is inner diameter.
Q3: What units should I use?
A: Consistent SI units are required - Newtons, meters, Pascals, and square meters.
Q4: Does this work for non-steel pipes?
A: Yes, but you must use the correct Young's modulus for the material (e.g., 69 GPa for aluminum).
Q5: How accurate is this calculation?
A: It's accurate for elastic deformation. For plastic deformation or composite pipes, more complex models are needed.