How to use the cantilever beam tip deflection calculator
Find how far the free end of a cantilever bends under a tip load. Enter tip load, beam length, elastic modulus, second moment of area in the fields above; the tip deflection are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “cantilever sag”, “beam bending at tip”, “diving board deflection”, “calculate cantilever beam tip deflection”, “find tip deflection”.
Formula
Variables
- F — Tip load (N)
- Lc — Beam length (m)
- E — Elastic modulus (Pa)
- I — Second moment of area (m⁴)
Worked example
With tip load = 500 N, beam length = 2 m, elastic modulus = 200000000000 Pa, second moment of area = 0.000008 m⁴, the calculator gives tip deflection ≈ 0.00083333 m; tip deflection ≈ 0.8333333 mm.
Frequently asked questions
What is the cantilever beam tip deflection calculator used for?
Find how far the free end of a cantilever bends under a tip load. It helps with questions such as “cantilever sag”, “beam bending at tip”, “diving board deflection”.
What is the formula for the cantilever beam tip deflection calculation?
Tip deflection (m) = F × Lc^3 / (3 × E × I). Tip deflection (mm) = [Tip deflection] × 1000. Here F is tip load (N), Lc is beam length (m), E is elastic modulus (Pa), I is second moment of area (m⁴).
What inputs do I need for the cantilever beam tip deflection calculator?
You need tip load in N, beam length in m, elastic modulus in Pa, second moment of area in m⁴. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the cantilever beam tip deflection calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the cantilever beam tip deflection result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.