Use this workshop calculation to turn measured dimensions and the selected construction convention into a cut, spacing, fit, or material-planning value.

Uniform Load Newtons Per Meter (N/m)

Required number input.

Span Meters (m)

Required number input.

Elastic Modulus Pascals (Pa)

Required number input.

Second Moment Meters4 (m⁴)

Required number input.

Maximum midspan deflection of a simply supported shelf under uniform load, from wL⁴/(EI); assumes small elastic deflection. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Deflection Meters (m)

The resulting deflection meters returned as a number.

• Nominal dimensions, kerf, moisture movement, hardware clearances, wall squareness, and manufacturer instructions can change the required shop dimension. Measure the actual assembly and test critical joints on scrap before cutting finished material.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Complement the calculated dimension with a physical story stick, dry fit, or full-size layout. Follow the hardware, coating, adhesive, or machine manufacturer's limits where they differ from a rule of thumb.

• Maximum Shelf Span

  Solve the uniform-load, simply supported elastic-beam formula for maximum span at a specified absolute midspan deflection limit; not a strength check.

• Sockelfuss Anzahl

  Minimum number of plinth feet for two straight front and rear rows under a cabinet, using a chosen maximum spacing; excludes load-rating checks.

• 4-Inch Baluster Spacing

  Count equal-width balusters and calculate equal clear gaps, including both end gaps, so none exceeds a four-inch maximum.