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The span is a significant factor in finding the strength and size of a beam as it determines the maximum Bending Moment and Deflection . The maximum bending moment and deflection in the pictured beam is found using:
:moment:   Mmax = 1/8 · q · L2
:deflection: fmax = 5/48 · Mmax· L2 / (E · I)
From this it follows that if the span is doubled, the maximum moment (and with it the Stress ) will increase four times, and deflection will increase sixteen times.