ToolHuts

Outils pratiques pour un travail de précision

Calculateur de Toit & Chevron de Gloriette Polygonale

Calculez les chevrons communs et d'arêtier en ligne médiane, l'élévation, les angles en plan et la surface des pans pour des toits réguliers de 3 à 16 côtés.

Calculez la disposition, vérifiez le diagramme, puis imprimez le résultat pour l'atelier ou le chantier.

mm

Measure one outside wall face of a regular polygon.

mm
Hip rafter centerline2878.5mm
Common rafter centerline2699.2mm
Roof rise1207.1mm
Building apothem2414.2mm
Plan half-angle22.50deg
Roof face area21.59

Centerline lengths run from the wall or fascia polygon to the central apex. Apply the ridge block, seat and tail details from the framing plan before cutting.

Fonctionnement

Enter the number of equal wall sides and the length of one side. The apothem is the horizontal common-rafter run; the center-to-corner radius is the hip plan run. Roof pitch converts those plan runs into true centerline lengths.

Worked example: an eight-sided gazebo with 2000 mm wall sides and a 6-in-12 pitch has a 2414.2 mm wall apothem and about 1207.1 mm of rise before the overhang is applied.

Exemple avec les saisies actuelles

Le résultat ci-dessus utilise exactement ces valeurs. Cet instantané est inclus à l’impression pour comparer la sortie aux mesures d’origine.

Number of sides
8
Wall side length
2000 mm
Pitch rise
6
Pitch run
12
Horizontal overhang
300 mm

Résultat principal: Hip rafter centerline: 2878.5 mm.

Avant d’utiliser le résultat

  • Measure from the datum or reference edge described by this tool, and do not mix inside, outside and centerline dimensions.
  • Keep inputs in the displayed units and preserve more precision than the final cutting or purchasing tolerance requires.
  • When the result is close to a limit, verify it with a test piece, field measurement, manufacturer drawing or qualified project professional.

Limites

This assumes a regular polygon with a central apex and one common pitch. It does not size structural members or deduct ridge blocks, seats, tails, fascia, birdsmouths or member thickness. Check the actual wall polygon corner-to-corner before cutting rafters.

Questions fréquentes

Does side length include the overhang?

No. Enter the wall side length and the horizontal overhang separately. The tool projects the roof perimeter outward from the wall polygon.