Furniture stair carry envelope calculator

Calculate stair width margin and landing centred-turn margin with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use stair width margin and landing centred-turn margin to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Item length (m)
2
Item width (m)
0.7
Item height (m)
0.8
Carry pitch above horizontal (degrees)
30
Clear stair width (m)
0.9
Landing clear side (square, m)
2.5
Minimum vertical clearance (m)
2.4
Stair width margin (m)
0.2
Landing centred-turn margin (m)
0.255977
Overhead margin (m)
0.70718
Prescribed maneuver geometric fit (1/0)
1

Try another scenario

Item length (m)
2.2
Item width (m)
0.7
Item height (m)
0.8
Carry pitch above horizontal (degrees)
30
Clear stair width (m)
0.9
Landing clear side (square, m)
2.5
Minimum vertical clearance (m)
2.4
Stair width margin (m)
0.2
Landing centred-turn margin (m)
0.090808
Overhead margin (m)
0.60718
Prescribed maneuver geometric fit (1/0)
1
Calculation method

Calculation method

Stair width margin (m)

Pitched item horizontal length=Lcosθ+Hsinθ; vertical envelope=Lsinθ+Hcosθ; landing centred turn uses plan diagonal.

Landing centred-turn margin (m)

Pitched item horizontal length=Lcosθ+Hsinθ; vertical envelope=Lsinθ+Hcosθ; landing centred turn uses plan diagonal.

Overhead margin (m)

Pitched item horizontal length=Lcosθ+Hsinθ; vertical envelope=Lsinθ+Hcosθ; landing centred turn uses plan diagonal.

Prescribed maneuver geometric fit (1/0)

Pitched item horizontal length=Lcosθ+Hsinθ; vertical envelope=Lsinθ+Hcosθ; landing centred turn uses plan diagonal.

Symbols and units
a
Item length (m)
b
Item width (m)
c
Item height (m)
d
Carry pitch above horizontal (degrees)
e
Clear stair width (m)
f
Landing clear side (square, m)
g
Minimum vertical clearance (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Fixed-pitch carry and centred landing turn only. Not a full stair path, lifting or structural safety assessment. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Fixed-pitch carry and centred landing turn only. Not a full stair path, lifting or structural safety assessment.
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