Hollow Rectangular Beam Deflection Calculator
English

In most building sites, hollow rectangular beams are used because they can bear the forces like hearing and bending in both the directions. Hollow rectangular beams are resistant to torsional forces, more than I-beams. Use this online hollow rectangular beam deflection calculator to compute the deflection of hollow rectangular beams. Enter the length, width, height wall thickness, select the material and click calculate to find the beam deflection value.

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Formula:

Hollow Rectangular Beams Deflection Inside_width = Width - (2 * Wall Thickness) Inside_height = Height - (2 * Wall Thickness) MI for hollow rectangle beams = ((Width * Height3) - (Inside_width * Inside_height3)) / 12 Deflection = ((Length3 * Force / (3 * Material * MI)) * 0.0393701 Bending Stress = (Force * Length) / (MI / (0.5 * Height)) Where, MI = Moment of Inertia E = Modules of Elasticity in psi

Example:

The deflection and bending stress of a steel hollow beam of length 20 inches, width 30 inches, height 30 inches having a wall thickness of 10 inches and beam weight of 200 pounds can be calculated as follows :
Inside width = Width - (2 * Wall Thickness)
= 30 - (2 * 10)
= 10

Inside Height = Height - (2 * Wall Thickness)
= 30 - (2 * 10)
=10

MI for hollow rectangle beams = (Width * Height3) - (Inside width * Inside Height3) / 12
=( (30 * 303) - (10 * 103) )/ 12
=66666.8106667662

Deflection = (Length3 * Force / (3 * Material * MI) * 0.0393701
= (203 * 200 / (3 * 30000000 *66666.8106667662)) * 0.0393701
= (1600000 / 6000000000000.03) * 0.0393701
=2.666660615337561e-7 inches

Bending Stress = (Force * Length) / (MI / (0.5 * Height)
= (200 * 20) / (66666.666666667 / (0.5 * 30)
= 0.9 PSI

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