 ## Deflection

The information you will need to calculate the deflection of a beam under specified loading conditions is the linear load on the beam, the span of the beam, the size of the beam, and the modulus of elasticity for the specified material. Knowing this information, you can solve for an equation to see how much a beam will deflect under different loading conditions.

Here is the equation to use

D = 5wL4 / 384EI

where
D = Deflection
w = weight per linear foot (or metre)
L= Span
E = Modulus of Elasticity
I = Moment of Inertia

Typically, you will see deflection limits of L/360 or L/480 when referring to Beam span limits. The L refers to the span. For instance, a beam spanning 10 feet having a deflection limit of L/360 would equate to 10 ft / 360 which is is 0.0277 ft or 0.33 inches or about 3/8". This means that a beam spanning 10 feet with a deflection limit of L/360 can sag a maximum amount of 3/8" under specified loading conditions. When deflection limits are close it is sometimes better to size the beam up by increasing its depth.