Shelf Span Calculator — Maximum Shelf Length Before Sagging
Calculate the maximum unsupported shelf span before sagging based on material, thickness, and load.
Height of the cross section
Front to back dimension
Weight the shelf must support per metre
Maximum deflection at centre
How We Calculate This
This calculator uses beam deflection theory to determine the maximum unsupported span for a shelf before it sags beyond your acceptable limit.
The formula
For a uniformly distributed load on a simply supported beam:
Deflection = (5 x w x L⁴) / (384 x E x I)
Where w = load per unit length (N/mm), L = span (mm), E = modulus of elasticity (MPa), and I = moment of inertia = (b x h³) / 12 for a rectangular cross section.
The calculator rearranges this formula to solve for L (maximum span) given an acceptable deflection, then applies a 10% safety factor for the recommended span.
Frequently Asked Questions
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Last updated: February 2026
All calculations are estimates. Always verify measurements and material quantities before cutting or purchasing.