Plate Deflection Calculator

Fixed Circular Centre Load

A circular plate rigidly fixed (clamped) around its full edge, loaded with a concentrated force at its centre, models a plate welded or continuously bolted into a rigid surrounding structure — such as a flange cover plate welded in place, carrying a point load from a fitted boss or bracket at its centre. Fixing the edge prevents it rotating under load, which both reduces the maximum deflection and shifts the location of peak stress compared to a simply supported edge.

For the same load on a plate that's simply supported (free to rotate) at its edge, see our Simply Supported Circular Centre Load calculator.

This calculator calculates the Maximum Deflection and Maximum Stress in a Fixed Edge Circular Plate with a Centre 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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DIAMETER: (D)

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LOAD DIAMETER: (LD)

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UNIFORM LOAD: (P)

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MAXIMUM DEFLECTION: (ym)

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MAXIMUM STRESS : (sm)

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RELATED PAGES

• Simply Supported Circular, Centre Load
• Fixed Circular, Uniform Load

FREQUENTLY ASKED QUESTIONS

Where does maximum stress occur on a fixed-edge circular plate under a centre load?

Unlike a simply supported plate, the maximum stress on a fixed-edge plate occurs at the clamped edge itself, not at the centre under the load — the edge fixity concentrates bending stress there. It's worth checking both the edge and centre stress values this calculator provides, rather than assuming the centre always governs.

Can a real weld or bolted joint achieve true "fixed" edge conditions?

A continuous, rigid weld around the full circumference approaches the fixed-edge assumption closely; a bolted joint with discrete fasteners is somewhat less rigid, particularly between bolts, and may behave partway between fixed and simply supported depending on bolt spacing and plate stiffness.