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SPECIFIED DETAIL DIMENSIONS

Polygonal stave ring geometry — inner apothem scenarios.

How does changing inner apothem affect polygonal stave ring geometry when the other inputs stay fixed?

What this decision changes

The stated allowance, insertion, return or cut loss belongs to a particular physical detail. It must be applied on the same dimensional basis as the finished piece. Method basis: Uses an apothem rather than the centre-to-vertex radius. The two face widths differ because a radial wall thickness creates trapezoidal staves.

The focus is specified inner apothem. All other shared inputs remain fixed for each evaluated range.

Face width = 2×apothem×tan(π/n)Polygonal Stave Ring Geometry Calculator

Evaluate your supplied alternatives

Start with your measured plan and selected product data. The initial values and range are illustrative. Each scenario changes only specified inner apothem; the other entered values stay fixed.

Measured plan and product inputs
Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Supplied comparison range for specified inner apothem

Nine evenly spaced values are evaluated. Whole counts are rounded to distinct integer scenarios. Values between the listed samples are not calculated.

9 evaluated scenarios

Baseline: Outside stave face width — 2.2 m. Rejected combinations remain visible below.

Outside stave face width across evaluated scenarios1.40.61.650.7251.90.852.150.9752.41.12.651.2252.91.353.151.4753.41.6
Each bar is one actual calculated outside stave face width. Horizontal values: specified inner apothem in m.
Specified inner apothemOutside stave face widthChange from baselineUse this scenario
0.6 m1.4 m-0.8 mOpen in calculator
Exact quantity breakdown
Inside stave face width
1.2 m
Half exterior turning angle
45 °
Ring material volume
0.52 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

0.725 m1.65 m-0.55 mOpen in calculator
Exact quantity breakdown
Inside stave face width
1.45 m
Half exterior turning angle
45 °
Ring material volume
0.62 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

0.85 m1.9 m-0.3 mOpen in calculator
Exact quantity breakdown
Inside stave face width
1.7 m
Half exterior turning angle
45 °
Ring material volume
0.72 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

0.975 m2.15 m-0.05 mOpen in calculator
Exact quantity breakdown
Inside stave face width
1.95 m
Half exterior turning angle
45 °
Ring material volume
0.82 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

1.1 m2.4 m0.2 mOpen in calculator
Exact quantity breakdown
Inside stave face width
2.2 m
Half exterior turning angle
45 °
Ring material volume
0.92 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

1.225 m2.65 m0.45 mOpen in calculator
Exact quantity breakdown
Inside stave face width
2.45 m
Half exterior turning angle
45 °
Ring material volume
1.02 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

1.35 m2.9 m0.7 mOpen in calculator
Exact quantity breakdown
Inside stave face width
2.7 m
Half exterior turning angle
45 °
Ring material volume
1.12 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

1.475 m3.15 m0.95 mOpen in calculator
Exact quantity breakdown
Inside stave face width
2.95 m
Half exterior turning angle
45 °
Ring material volume
1.22 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

1.6 m3.4 m1.2 mOpen in calculator
Exact quantity breakdown
Inside stave face width
3.2 m
Half exterior turning angle
45 °
Ring material volume
1.32 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

Read the evaluated results

Compare finished demand with stock consumption. Some detail changes reduce useful cover or alter full-blank fit rather than simply adding proportional material.

  1. Replace every illustrative baseline measurement and selected product value with the inputs for your actual task.
  2. Enter a comparison range on the focused input's stated unit and quantity basis.
  3. Review rejected combinations and use the exact detail lines to distinguish measured demand from whole purchases.
  4. Open an evaluated scenario in the full calculator to save its original inputs and quantity breakdown to a browser material project.

Keep the comparison within scope

These are comparisons of already supplied details; the analysis does not choose joint, seam, fitting or installation requirements.

Uses an apothem rather than the centre-to-vertex radius. The two face widths differ because a radial wall thickness creates trapezoidal staves.

Dimensions, quantities, prices, timing and product properties are supplied by you. This tool does not select construction specifications or assess structural, electrical or hydraulic suitability.

Only the listed samples are evaluated. Intermediate values, alternate constraints and global cutting optimality are not inferred from the graph.

Continue with this quantity method

Polygonal Stave Ring Geometry Calculator

Other independent input decisions

Read the measurement and purchase guides

Quantity method and illustrative scenarios checked 6 October 2026. Methods and scope.