Examples
Examples
Try the starting example
- Hypothetical common load-point x,y,z (same length unit)
- 0,0,1
- Anchors: ID, x,y,z, supplied straight strap length in same unit
- A,1,0,0,2 B,0,1,0,1.4
- Straight-line load-point to anchor length
- A: 1.41421356237; B: 1.41421356237
- Signed inclination from horizontal toward anchor (degrees)
- A: -45; B: -45
- Plan azimuth toward anchor (degrees)
- A: 0; B: 90
- Supplied straight strap length minus geometric distance
- A: 0.585786437627; B: -0.0142135623731
- Anchors whose supplied length is below straight-line distance
- B
Try another scenario
- Hypothetical common load-point x,y,z (same length unit)
- 0,0,1
- Anchors: ID, x,y,z, supplied straight strap length in same unit
- A,1,0,0,2 B,0,1,0,1.5
- Straight-line load-point to anchor length
- A: 1.41421356237; B: 1.41421356237
- Signed inclination from horizontal toward anchor (degrees)
- A: -45; B: -45
- Plan azimuth toward anchor (degrees)
- A: 0; B: 90
- Supplied straight strap length minus geometric distance
- A: 0.585786437627; B: 0.0857864376269
- Anchors whose supplied length is below straight-line distance
- None
Calculation method
Calculation method
Straight-line load-point to anchor length
Euclidean norm of anchor−load-point vector.
Signed inclination from horizontal toward anchor (degrees)
atan2(delta z,hypot(delta x,delta y)); undefined at coincident points.
Plan azimuth toward anchor (degrees)
atan2(delta y,delta x); undefined when horizontal offset is zero.
Supplied straight strap length minus geometric distance
Signed length margin only; bends, routing and hardware are excluded.
Anchors whose supplied length is below straight-line distance
List negative geometric length margins; nonnegative margin does not certify restraint.
Symbols and units
- a
- Hypothetical common load-point x,y,z (same length unit)
- b
- Anchors: ID, x,y,z, supplied straight strap length in same unit
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
- Hypothetical straight-line three-dimensional reach/angle geometry only. Load rating, restraint forces, friction, anchor strength, routing, vehicle motion and restraint certification are excluded; no tie-down configuration is approved.
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: ratios, unit rates and supplied measurement arithmetic ↗
Background reading; this does not imply endorsement or independent review of SumFizz.