# Euler ideal pin-pin column; no imperfections or material yield
length = 1000 mm in 500..2000
width = 25 mm
depth = 25 mm in 10..40
modulus = 200 GPa "Illustrative steel"
inertia := width * depth^3 / 12 [mm^4]
criticalLoad := pi^2 * modulus * inertia / length^2 [N]
check required load: criticalLoad >= 1000 N
scenario longer: length = 1500 mm