ONE FORMULA, ONE ANSWER
Cantilever Tip Deflection Calculator
Calculate tip deflection of a slender cantilever under a tip point load. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Free tip deflection δ
Enter values and select Calculate.
δ = FL³/(3EI)
Assumptions
Required: L,E,I>0, a perfect clamp, uniform section, small deflection and linear Euler–Bernoulli beam behavior. Excluded: shear deformation, distributed loads, self-weight and large rotations.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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