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Pipe deflection calculator

Round Tube Beams Deflection Calculation

Inches
PSI

Table of Contents:

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Formula

MI for Solid Round Beams = (pi * (OD4 - ID4))64
Deflection = (length 3 * force) (3 * E * MI)

Bending Stress = (force * length)(MI / (0.5 * height))

Where,
MI = Moment of Inertia
E = Modulas of Elasticity in psi

A tube is a long hollow object that is usually round, like a pipe. A tube is a closed shape used to perform some structural function. A hollow cylinder or tube used to conduct a liquid, gas, or finely divided solid.

If bending stress exceeds the materials yield strength it will be permanently deformed and not return to its original shape.

Example:


Calculate the defection of a simple round tube.
Length (Inches) = 15
Diameter (Inches) = 5
Wall Thickness (Inches) = 20
Force (Pounds) = 5
Material = Steel

Solution:

Apply Formula:
MI for Solid Round Beams = (pi * (OD4 - ID4))64
Deflection = (length 3 * force) (3 * E * MI)

Bending Stress = (force * length)(MI / (0.5 * height))

Deflection = 0.000006111549814728781 (Inches)
Bending Stress = 6.111549814728781 (PSI)

References: 

  1. Beam Stress & Deflection | Mechanicalc.com.
  2. Rinkerpipe.com. PipeDeflection.pdf.