Beam Deflection Calculator for Solid Rectangular Beams

The deformation of a beam under load is measured by the deflection of the beam before and after the load. The deflection of a beam depends on its length, its cross-sectional area and shape, the material, where the deflecting force is applied, and how the beam is supported. This online beam deflection calculator will help you to find the deflection of solid rectangular beams based on load in free end and support at fixed end. Enter width, height, length and force to compute deflection.

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Formula:

Beam Deflection with Load at End MI for Solid Rectangular Beam = ((Height3 x Width) / 12) Deflection = (Length3 x Force) / (3 x E x MI) Bending Stress = (Force x Length) / (MI / (0.5 x Height)) Where, MI = Moment of Inertia E = Modulus of Elasticity in psi

Example:

Beam Deflection Calculation for Solid Rectangular Beams A solid rectangle shaped aluminum beam has length as 100m, width as 30m and height as 70m whose applied force is 55 kilograms.

Solution:

MI for Solid Rectangular Beam = ((Height3 x Width) / 12)
= ((703 x 30) / 12)
= 857500

Deflection = (Length3 x Force) / (3 x E x MI)
= (1003 x 55) / (3 x 10500000 x 857500)
= 2.9e-9 m

Bending Stress = (Force x Length) / (MI / (0.5 x Height))
= (55 x 100) / ( 857500 / (0.5 x 70))
= 2.20 Pa

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