Examples
Examples
Try the starting example
- Cantilever length (mm)
- 1000
- Tip force (N)
- 100
- Elastic modulus (MPa)
- 200000
- Second moment of area (mm⁴)
- 1000000
- Ideal tip deflection (mm)
- 0.166667
- Ideal tip rotation (radians)
- 0.00025
Try another scenario
- Cantilever length (mm)
- 1001
- Tip force (N)
- 100
- Elastic modulus (MPa)
- 200000
- Second moment of area (mm⁴)
- 1000000
- Ideal tip deflection (mm)
- 0.167167
- Ideal tip rotation (radians)
- 0.000251
Calculation method
Calculation method
Ideal tip deflection (mm)
Small-deflection Euler-Bernoulli cantilever: δ=PL³/(3EI), θ=PL²/(2EI).
Ideal tip rotation (radians)
Small-deflection Euler-Bernoulli cantilever: δ=PL³/(3EI), θ=PL²/(2EI).
Symbols and units
- a
- Cantilever length (mm)
- b
- Tip force (N)
- c
- Elastic modulus (MPa)
- d
- Second moment of area (mm⁴)
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
- User-supplied measurements and assumptions; Small-deflection Euler-Bernoulli cantilever: δ=PL³/(3EI), θ=PL²/(2EI). Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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
Background reading; this does not imply endorsement or independent review of SumFizz.