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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

Table of Contents:

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

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)**