Plate Deflection Calculator

Simple Annulus Uniform Load

This calculator covers an annulus (ring-shaped) plate that's simply supported (free to rotate, but not to deflect vertically) around its outer edge, with the inner edge around the central hole left free, carrying a load spread uniformly across the ring surface. This suits a plate resting in a recess or on a ledge around its outer diameter — such as a cover plate dropped into a machined step — rather than welded or bolted rigidly in place.

For the same plate rigidly fixed around its outer edge instead, see our Fixed Annulus Uniform Load calculator.

This calculator calculates the Maximum Deflection and Maximum Stress in a simply supported Annulus Plate with a Uniform Load.

Enter your values as required and press SOLVE, your results will be displayed. If you change any unit types or values please press SOLVE again.

CLEAR ALL clears all fields.

MATERIAL: Aluminium 2024-T4Aluminium 6061-T6Aluminium 7075-T3BrassCast IronCopperLeadMagnesiumPhosphur BronzeStainless Steel, 304Stainless Steel, 316Steel, S235Steel, S275Steel, S355Steel, 4130Steel, ASTM A36Steel, ASTM A441Titanium, Grade 2Titanium, Grade 5

THICKNESS: (T)

MillimetresCentimetresMetresInches

OUTER DIAMETER: (OD)

MillimetresCentimetresMetresInches

INNER DIAMETER: (ID)

MillimetresCentimetresMetresInches

UNIFORM LOAD: (P)

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MAXIMUM DEFLECTION :(ym)

MetresCentimetresMillimetresMicrometresInches

MAXIMUM STRESS : (sm)

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RELATED PAGES

• Fixed Annulus, Uniform Load
• Simple Annulus, Guided, Uniform Load
• Simple Annulus, Load at Hole

FREQUENTLY ASKED QUESTIONS

How much more does a simply supported annulus plate deflect compared to a fixed one?

Significantly more for the same load and geometry — as with solid circular and rectangular plates, fixing the outer edge typically reduces deflection to roughly a quarter of the simply supported value, though the exact ratio depends on the ratio between the inner and outer diameters.

What's a typical real-world example of this support condition?

A cover plate or washer-style component resting in a machined recess or against a shoulder, held down by its own weight or a light retaining ring, rather than continuously welded or bolted around its full circumference.