# Aluminium cantilever · fixed at one end
length = 300 mm in 100..500
width = 25 mm
depth = 12 mm in 6..30
load = 20 N
modulus = 69 GPa "Illustrative aluminium stiffness"

part beam "Cantilever": box length, width, depth

inertia := width * depth^3 / 12 [mm^4]
deflection := load * length^3 / (3 * modulus * inertia) [mm]
deflectionAt(x: mm) := deflection * (x/length)^2 * (3 - x/length) / 2 [mm]
check tip deflection: deflection <= 2 mm

scenario more reach: length = 500 mm
scenario deeper section: length = 500 mm, depth = 20 mm