# Hollow Rectangular Beam Deflection Calculator

Deflection is the deformation of the beam caused due to the application of external force. In most building sites, hollow rectangular beams are used because they can bear the forces like hearing and bending in both directions. They are resistant to torsional forces. Make use of this online hollow rectangular beam deflection calculator to calculate for the beam deflection in the hollow rectangular beam. Just input the required values and the calculator will automatically update you with the output.

### Example:

Given that a silver hollow beam of length 10 inches, width 25 inches, height 30 inches having a wall thickness of 10 inches and beam weight of 150 pounds. Calculate hollow rectangular beam deflection and bending stress.

#### Solution:

Inside width = Width - (2 x Wall Thickness)

Inside width = 25 - (2 x 10)

Inside width = 5

Inside Height = Height - (2 x Wall Thickness)

Inside Height = 30 - (2 x 10)

Inside Height = 10

MI for hollow rectangle beams = (Width x Height^{3}) - (Inside width x Inside Height^{3}) / 12

MI for hollow rectangle beams = (25 x 30^{3}) - (5 x 10^{3}) / 12

MI for hollow rectangle beams = 55833.4539

Deflection = ((Length^{3} x Force )/ (3 x Material x MI) ) x 0.0393701

Deflection = ((10^{3} x 150) / (3 x 30000000 x 55833.33)) x 0.0393701

Deflection = 2.985067852989808e-8inches

Bending Stress = (Force x Length) / (MI / (0.5 x Height)

Bending Stress = 0.403 PSI