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Hollow Rectangular Beams Deflection Calculation

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.

Hollow Rectangular Beams Deflection Calculation

Inches
PSI

Table of Contents:

    Formula

    MI for hollow rectangle beams = (Width * Height3) - (Inside_width * Inside_height3) / 12
    Deflection = (Length3 *Force / (3 * E * MI)
    Bending Stress = (Force * Length) / (MI / (0.5 * hHeight)

     

    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 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 * Height3) - (Inside_width * Inside_height3) / 12
    Deflection = (Length3 *Force / (3 * E * MI)
    Bending Stress = (Force * Length) / (MI / (0.5 * hHeight)
    Deflection = 4.938271604938271e-9 (Inches)
    Bending Stress = 0.13333333333333333 (PSI)