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Round Tube Beams Deflection Calculation

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.

Round Tube Beams Deflection Calculation

Inches
PSI

Table of Contents:

    Formula

    MI for Solid Round Beams = (pi * (OD4 - ID4)) / 64
    Deflection = (length3 * force) / (3 * E * MI)
    Bending Stress = (force * length) / (MI / (0.5 * height))

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

    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 = (length3 * force) / (3 * E * MI)
    Bending Stress = (force * length) / (MI / (0.5 * height))
    Deflection = 0.000006111549814728781 (Inches)
    Bending Stress = 6.111549814728781 (PSI)