NIKLAS, KARL J. Section of Plant Biology, Cornell University, Ithaca, NY . - A statistical approach to mechanical factors of safety.
A method was devised to calculate the factor of safety (based on any
criterion of failure) for any population of similar biological
structures that must cope with mechanical loads. This method is based
on a formula using empirically determined values for the maximum load
a structure can sustain before it mechanically fails (load
capability), the load the structure normally sustains (the actual
load), and the means and standard deviations of these two kinds of
loads. The method is illustrated for Psilotum nudum axes drawn
from different levels of branching. Failure in bending or twisting
was used as the criterion for mechanical failure. The actual loads,
load capabilities, and the difference between the two loads measured
in bending and twisting for representative axes in each branch level
were normally distributed. Based on the formula, the factor of safety
in bending and twisting was found to decrease rather than increase in
a basipetal direction: distal axes had the highest factors of safety,
while the most proximal axes in trusses had the lowest factors of
safety. Nevertheless, all axes where mechanically reliable
load-bearing members.
Key words: biomechanics, mechanical safety, stems