# 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
 Length (Inches) : Diameter (Inches) : Wall Thickness (Inches) : Force (Pounds) : Material : --Select-- Steel Titanium Brass Aluminum Carbon Fibre Garolite(G-10/FR-4) Polycarbonate Nylon UHMW Wood Deflection : Inches Bending Stress : PSI
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)

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