Plate Deflection Calculator

Fixed Annulus Guided Uniform Load

This calculator covers an annulus (ring-shaped) plate fixed rigidly around its outer edge, with the inner edge around the central hole guided — meaning it's restrained from rotating but still free to deflect straight up or down, as if riding on a close-fitting sliding collar or piston guide — carrying a uniformly distributed load across the ring surface. This models applications like a diaphragm or piston-head style plate where a central guide sleeve keeps the bore square to the plate but doesn't prevent the whole assembly moving axially under pressure.

If the central hole is genuinely unsupported instead, see our Fixed Annulus Uniform Load calculator; if load is applied as a concentrated force at the hole rather than spread across the plate, see Fixed Annulus, Load at Hole.

This calculator calculates the Maximum Deflection and Maximum Stress in a Fixed Edge Centrally Guided 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)

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

FREQUENTLY ASKED QUESTIONS

What's the practical difference between a "guided" and a "free" inner edge?

A guided edge is restrained from rotating (kept parallel to its original orientation) by a sleeve, collar, or similar close-fitting guide, but can still move axially — this changes the plate's deflected shape and generally reduces stress at the inner edge compared to leaving it completely free and unrestrained.

What's a real-world example of a guided inner edge?

A diaphragm or piston-style plate with a central rod passing through a closely fitted guide bush is a good example — the guide keeps the centre square and prevents rocking, without fully clamping it in place.