Cantilevers and Extension

Cantilever Deflection Gives Force

A calibrated cantilever reads force through a checked deflection. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Cantilever deflection is measured from the base

The base is at 0 metres and the tip is at 4 metres.

4−0=44\mathbin{-}0=4
Cantilever force ledgerLever deflection and stiffness set the measured force.basetipdeflectionforce

Stiffness converts deflection to force

Stiffness 3 newtons per metre times deflection 4 metres gives 12 newtons.

3⋅4=123\cdot4=12
Cantilever force ledgerLever deflection and stiffness set the measured force.basetipdeflectionforce