Examples
Examples
Try the starting example
- Wheelbase (m)
- 1
- Unladen front scale reading (kg equivalent)
- 10
- Unladen rear scale reading (kg equivalent)
- 10
- Added luggage: name, mass kg, distance behind front axle m
- Front bag,2,0.25 Rear bag,4,0.75
- Projected front scale reading (kg equivalent)
- 12.5
- Projected rear scale reading (kg equivalent)
- 13.5
- Total loaded mass (kg)
- 26
- Front share of total (%)
- 48.076923
- Front and rear load changes (kg equivalent)
- 2.5, 3.5
Try another scenario
- Wheelbase (m)
- 1
- Unladen front scale reading (kg equivalent)
- 10
- Unladen rear scale reading (kg equivalent)
- 10
- Added luggage: name, mass kg, distance behind front axle m
- Front bag,2,0.25 Rear bag,4,1.25
- Projected front scale reading (kg equivalent)
- 10.5
- Projected rear scale reading (kg equivalent)
- 15.5
- Total loaded mass (kg)
- 26
- Front share of total (%)
- 40.384615
- Front and rear load changes (kg equivalent)
- 0.5, 5.5
Calculation method
Calculation method
Projected front scale reading (kg equivalent)
Unladen front+sum(mass×(wheelbase−position)/wheelbase).
Projected rear scale reading (kg equivalent)
Unladen rear+sum(mass×position/wheelbase).
Total loaded mass (kg)
Sum unladen axle readings and added mass.
Front share of total (%)
100×front/total; undefined at zero total.
Front and rear load changes (kg equivalent)
Report added front and rear reactions.
Symbols and units
- a
- Wheelbase (m)
- b
- Unladen front scale reading (kg equivalent)
- c
- Unladen rear scale reading (kg equivalent)
- d
- Added luggage: name, mass kg, distance behind front axle m
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
sum(list) adds all entries in the list.
Assumptions & limits
Assumptions & limits
- A level, static two-support model using measured unladen scale readings. Signed positions may expose an upward reaction; dynamic handling, rack ratings and safe load limits are not inferred.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: Euclidean geometry and trigonometric identities ↗
Background reading; this does not imply endorsement or independent review of SumFizz.