Pipe deflection calculator

Enter the length, diameter and wall thickness then select the material from the drop down menu.

Table of Contents:

Formula

Formula

$MI for Solid Round Beams = (pi * (OD 4 - ID 4)) 64$
$Deflection = (length 3 * force) (3 * E * MI)$

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

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 = $(pi * (OD 4 - ID 4)) 64$
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:

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

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