Plate Deflection Calculator

Fixed Annulus Hole Uniform Load

This calculator covers an annulus (ring-shaped) plate fixed rigidly around its outer edge, with a concentrated load applied at the inner edge around the central hole — rather than a load spread across the plate's surface. This models a situation such as a shaft or boss pressing up against the inner bore of a flange or end cover, transferring a point-like load into the plate through the hole rather than across its face.

For the same plate with the load spread uniformly across the surface instead of concentrated at the hole, see our Fixed Annulus Uniform Load calculator.

This calculator calculates the Maximum Deflection and Maximum Stress in a Fixed Edge Annulus Plate with a Concentrated Load at the hole.

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

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, Load at Hole

FREQUENTLY ASKED QUESTIONS

Where does maximum deflection occur when the load is applied at the hole?

At the inner edge itself, where the load is applied — this is the opposite of the uniformly loaded case, where maximum deflection typically occurs further out across the plate's span.

What's a real-world example of a load applied at the inner hole?

A shaft collar or boss bearing directly against the bore of an end cover or flange blank, transferring an axial thrust load into the plate through the hole's edge rather than across the whole surface.