Pipe Stretch Formula:
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Definition: This calculator estimates the elongation or stretch of a pipe when subjected to axial force.
Purpose: It helps engineers and technicians determine how much a pipe will stretch under tension, which is important for structural design and installation.
The calculator uses Hooke's Law formula for axial deformation:
Where:
Explanation: The stretch is directly proportional to the force and original length, and inversely proportional to the material stiffness and cross-sectional area.
Details: Proper stretch calculation ensures structural integrity, prevents overstressing, and helps in designing expansion joints in piping systems.
Tips: Enter the force in Newtons, original length in meters, Young's modulus (default 200 GPa 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. Common values: Steel ≈ 200 GPa, Aluminum ≈ 69 GPa, Copper ≈ 117 GPa.
Q2: How do I calculate cross-sectional area?
A: For round pipes: \( A = \pi \times (D/2)^2 \) where D is diameter, or \( A = \pi \times (R^2 - r^2) \) for hollow pipes.
Q3: Does this work for compression as well?
A: Yes, the formula works for both tension and compression, but buckling must be considered separately for compression.
Q4: What if the pipe is not circular?
A: The formula works for any shape - just use the correct cross-sectional area for that shape.
Q5: How accurate is this calculation?
A: It's accurate for elastic deformation within the material's proportional limit. Plastic deformation requires different calculations.