this is not a technical answer.
this is also a stab through cobwebs accumulated in 20+ years
  since I had statics and strengths of materials.

some fogbank lifts and urges me to say
 slenderness ratio is a nondimensional number
 (essentially length divided by diameter or width) that
 describes how readily a member will buckle in compression.

for a simplistic real-world example, consider a dry spaghetti noodle/stalk.
set it upright on a table, holding the upper end with one finger so the
stalk is vertical.  now, press down.  it bends, it buckles, it breaks.

slenderness ratio, i think, attempts to describe the physical
propensity for the member to bend and/or buckle

not a good definition...for all my memory is worth,
  slenderness ratio could be the odds of a thin bet on
  the roulette wheel....


scot deal
excelsior fire engineering
************************************
Does anyone have a good definition for slenderness ratio?
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