Paritian

Construction & DIY

Gate Calculator

Leaf width, pickets, frame and brace lengths, weight and the load each hinge carries.

Results

Width of each leaf 1.7700 m
Pickets per leaf 15
Pickets in total 30
Frame length per leaf 7.1400 m
Diagonal brace length 2.5245 m
Mass of one leaf 66.226 kg
Infill area per leaf 3.1860 m²
Weight carried by each hinge 33.113 kg
Pull on the top hinge 48.841 kg

What this tool does

A gate is a frame that has to stay square while hanging from one side, and the number that decides whether it will is not the weight — it is the weight times how far out the centre sits, divided by the gap between the hinges. That is the pull the top hinge has to resist, and it is why a wide gate on closely spaced hinges sags. The page works it out alongside the parts list.

Formula

leaf = (opening − clearance) ÷ leaves · pickets = ⌈leaf ÷ (width + gap)⌉ · brace = √(leaf² + height²)

Variables

SymbolMeaningUnit
opWidth of the openingm
lvHow many leaves—
gpTotal clearance to leavem
hHeight of the gatem
pwWidth of one picketm
pgGap between picketsm
kmFrame profile, mass per metrekg/m
pmPicket, mass per metrekg/m
hgDistance between the hingesm
LWWidth of each leafm
NPPickets per leaf—
TPPickets in total—
FPFrame length per leafm
BRDiagonal brace lengthm
LMMass of one leafkg
INInfill area per leafm²
HVWeight carried by each hingekg
HHPull on the top hingekg

Worked example

  • Width of the opening3.6 m
  • How many leaves2
  • Total clearance to leave0.06 m
  • Height of the gate1.8 m
  • Width of one picket0.09 m
  • Gap between pickets0.03 m
  • Frame profile, mass per metre3.5 kg/m
  • Picket, mass per metre1.2 kg/m
  • Distance between the hinges1.2 m
  • Width of each leaf1.7700 m
  • Pickets per leaf15
  • Pickets in total30
  • Frame length per leaf7.1400 m
  • Diagonal brace length2.5245 m
  • Mass of one leaf66.226 kg
  • Infill area per leaf3.1860 m²
  • Weight carried by each hinge33.113 kg
  • Pull on the top hinge48.841 kg

Limitations

  • The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.
  • The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.