Use our free Hollow Rectangular Beam Deflection Calculator to quickly determine the bending and displacement of structural members. Ideal for engineers and students, this tool helps assess beam stiffness under various loads, ensuring structural integrity and optimizing material use in design projects.
Formula:
First, the Moment of Inertia (I) for a hollow rectangular section is calculated:
I = (B × H³ - b × h³) / 12
- I = Moment of Inertia (mm⁴, in⁴)
- B = Outer Width (mm, in)
- H = Outer Height (mm, in)
- b = Inner Width (mm, in)
- h = Inner Height (mm, in)
Then, for a simply supported beam with a uniformly distributed load, the maximum deflection (δ) is given by:
δ = (5 × w × L⁴) / (384 × E × I)
- δ = Maximum Deflection (mm, in)
- w = Uniformly Distributed Load (N/mm, lb/in)
- L = Beam Length (mm, in)
- E = Modulus of Elasticity (N/mm², psi)
- I = Moment of Inertia (mm⁴, in⁴)