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# Hollow Rectangular Beams Deflection Calculation

Enter values in input box to find hollow Rectangular Beams Deflection Calculation using this square tubing strength calculator.

Table of Contents:

**Formula**

**MI for hollow rectangle beams = (Width * Height ^{3}) - (Inside_width * Inside_height^{3}) / 12**

Deflection = (Length^{3} *Force / (3 * E * MI)

Bending Stress = (Force * Length) / (MI / (0.5 * hHeight)

**Where,**

MI = Moment of Inertia

E = Modulas of Elasticity in psi

Builders use hollow rectangular beams in construction because such beams can withstand the forces of shearing and bending in both the x- and y-directions. They are also resistant to torsional forces, much more so than I-beams. This online Mechanical Engineering Calculator is to compute the deflection of hollow rectangular beams. The bending stress is also calculated.

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

__Example__:

Calculate the deflection of hollow rectangle and its bending stress.

Length (Inches) = 5

Width (Inches) = 10

Height (Inches) = 15

Wall Thickness (Inches) = 5

Force (Pounds) = 10

Material = Steel

__Solution__:

**Apply formula**:

MI for hollow rectangle beams = (Width * Height^{3}) - (Inside_width * Inside_height^{3}) / 12

Deflection = (Length^{3} *Force / (3 * E * MI)

Bending Stress = (Force * Length) / (MI / (0.5 * hHeight)

**Deflection = 4.938271604938271e-9 (Inches)**

**Bending Stress = 0.13333333333333333 (PSI)**